A = bh/2

**Answer:**

Height = 36m

**Step-by-step explanation:**

As per the given data: Area of the triangle = 85m2

Base of the triangle = 5m

Height of the triangle = ? (x)

As we know, A = bh/2

by substituting the given values in the above equation, we get

85 = 5 * x/2

5x = 170

x = 36

date : 09-10-2022

The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is $2000 and the standard deviation is $75.

The** approximate percentage** of buyers who paid between $1925 and $2075 is; 68%

The** approximate percentage** of buyers who paid between $1925 and $2000 is; 34%

We are given;

**Mean** = $2000

**Standard Deviation** = $75

1) We want to find the **approximate percentage** of buyers who paid between $1925 and $2075

The formula that is used to calculate the **z-score **of a a normal distribution is;

z = (x' - μ)/σ

where;

z is z-score

x' is sample mean

μ is population mean

σ is standard deviation

For a payment of 1925;

z = (1925 - 2000)/75 = -1

For a payment of2075;

z = (1925 - 2000)/75 = 1

Thus, this is 1 standard deviation from the mean.

Thus, this is a percentage of 68%

2) We want to find the **approximate percentage** of buyers who paid between $1925 and $2000?

For a payment of 1925;

z = (1925 - 2000)/75 = -1

For a payment of 2000;

z = (2000 - 2000)/75 = 0

This translates to a** percentage** of (1/2) * 68% = 34%

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Missing options are;

1) What is the approximate percentage of buyers who paid between $1925 and $2075?

2) What is the approximate percentage of buyers who paid between $1925 and $2000?

During the month, Fisher Company's Work in Process inventory account was credited for $120,500, which represented the Cost of Goods Manufactured for the month. Only one job remained in process on May 31; this job had been charged with $9,600 of applied overhead cost. The amount of direct materials cost in the unfinished job would be:

The amount of **direct** **materials** **cost** in the unfinished job would be $97600.

The price of **direct** **materials** is directly related to the unit of production and is immediately identifiable. For instance, the price of glass is a direct material expense in the production of light bulbs. The primary component needed for the production of commodities or products was material. Costs of **raw** **materials** or components used directly in the production of goods are referred to as direct material costs. For instance, if Company A manufactures toys, the cost of the plastic used to build the toys would be an example of a direct material cost.

Given Data

**Work** in **Process** inventory account was credited for $120,500.

charged with $9,600 of applied **overhead** **cost**.

Direct material cost = Work in progress - Overhead cost - Direct labor

Direct labor = 9600 ×[tex]\frac{100}{75}[/tex]

Direct labor = 12800

Direct material cost = 120000 - 9600-12800

Direct material cost = 97600

The amount of **direct** **materials** **cost** in the unfinished job would be $97600.

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A store sells two sizes of fresh wreaths. An 18-inch wreath costs $20, and a 22-inch wreath costs $30. In one day, the number of 22-inch wreaths sold was four more than five times the number of 18-inch wreaths, for a total of $1310. How many of each were sold?

Let’s begin by setting

18-inch=X

22-inch=Y

We know that there was 4 more than 5 times the amount of 22 inch vs 18 inch so it can be shown like this

5x+4=y

We then can make a separate equation knowing that an 18-inch is $20 and a 22-inch is $30

20x+30y=1,310

So you now have 2 equations

5x+4=y

20x+30y=1,310

Let’s plug the first equation into the second equation, to solve for X

20x+30(5x+4)=1,310

20x+150x+120=1,310

170x=1,190

x=7

Now that we know X we can plug it back into the first equation

5(7)+4=y

39=y or y=39

You are now left with

x=7

y=39

You can check it by plugging your X and Y values into the 2nd equation

20(7)+30(39)=1,310

140+1,170=1,310

FINAL ANSWER

18-inch wreaths: 7

22-inch wreaths: 39

18-inch=X

22-inch=Y

We know that there was 4 more than 5 times the amount of 22 inch vs 18 inch so it can be shown like this

5x+4=y

We then can make a separate equation knowing that an 18-inch is $20 and a 22-inch is $30

20x+30y=1,310

So you now have 2 equations

5x+4=y

20x+30y=1,310

Let’s plug the first equation into the second equation, to solve for X

20x+30(5x+4)=1,310

20x+150x+120=1,310

170x=1,190

x=7

Now that we know X we can plug it back into the first equation

5(7)+4=y

39=y or y=39

You are now left with

x=7

y=39

You can check it by plugging your X and Y values into the 2nd equation

20(7)+30(39)=1,310

140+1,170=1,310

FINAL ANSWER

18-inch wreaths: 7

22-inch wreaths: 39

Solve simultaneously:y = 5x + 210y - 50x = 20

**ANSWER**

Infinitely many solutions (0 = 0)

**EXPLANATION**

We have the two equations and we are to solve them simultaneously.

We have:

y = 5x + 2 ___(1)

10y - 50x = 20 ___(2)

**Put (1) in (2):**

We have that:

10(5x + 2) - 50x = 20

50x + 20 - 50x = 20

=> 50x - 50x = 20 - 20

=> **0 = 0**

This kind of solution implies that** there are infinitely many solutions to this equation.**

I need help on this :)

**Explanation **

We are given the following equation:

[tex]x^2=-12[/tex]We are required to determine the solution of the given equation.

This is achieved thus:

[tex]\begin{gathered} x^2=-12 \\ \text{ Square root both sides} \\ x=\pm\sqrt{-12} \\ \text{ We know that }\sqrt{-1}=i \\ x=\pm\sqrt{3\times4\times-1} \\ x=\pm\sqrt{3}\times2\times i \\ x=\pm2\sqrt{3}i \\ x=-2\sqrt{3}i\text{ }or\text{ }2\sqrt{3}i \end{gathered}[/tex]The only solution to this equation involves complex numbers. So, there is no real solution.

**Hence, the answer is:**

(b)A sight-seeing ship is stopped in the water for an hour, miles from the shore. Then the captain heads the ship back to the shore at a constant rate. The ship docks at shore for awhile, then returns to the open sea

**Solution:**

Given that a sight-seeing ship is stopped in the water for an hour, miles from the shore. Then the captain heads the ship back to the shore at a constant rate. The ship docks at shore for awhile, then returns to the open sea.

This implies that that:

Sonya drinks a 32 oz energy drink containing 80 calories per 12 oz how many calories did she drink

**Answer:**

213

**Step-by-step explanation:**

First we decide how many ounces 12 has in 32 (2.6)

Then we multiply 2.6 to 80 calories and get 213 calories

I need help with the 16

NSWER

EXPLANATION

In a isometry the distances between points are conserved, so the image of segment PQ has to have the same length as segment PQ.

When we have a translation defined by a vector the x-coordinate of the vector tells the horizontal translation and the y-coordinate the vertical translation.

For this problem, if the vector is <3, 5>, we have to translate each point 3 units to the right and 5 units up.

[tex]Q(-2,-2)\to Q^{\prime}(-2+3,-2+5)=(1,3)[/tex][tex]P(-4,-4)\to P^{\prime}(-4+3,-4+5)=(-1,1)[/tex]The endpoints of the image segment are Q'(1, 3) and P'(-1, 1)

how could you use a graph of a proportional relationship to find any ratio in the the proportional relationship why does this work?

It should be emphasized that a **connection **is proportional if its **graph **is a line that **passes **through its origin.

If the graph of a connection is a **line passing** through the origin, the connection is proportionate. If it is not a line or ray that fails to achieve this, the ratio is not proportional.

The equation for the **proportionality **constant is K = y/x. This is the same equation used to get the slope of a straight line with respect to the origin.

If the **graph **of a connection is a line or ray that goes through the origin, the relationship is proportional. If the line or ray does not pass through the origin, it is not proportional.

Additionally, if anything is not linear, it is not **proportional**.

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What are the next two terms after -13, 8, -5, 3,-2

The **next two terms **in the **sequence**, -13, 8, -5, 3,-2 is 1 and -1.

The mathematical operations that would be used to determine the next **two terms **are **addition **and **subtraction. Addition **is used to determine the sum of two or more numbers. **Subtraction **is used to determine the difference between two or more numbers.

The first step is to determine the relationship between the numbers in the **sequence. **Looking at the numbers, it can be seen that the the difference between the first number and the second number gives the third number.

-13 + 8 = -5

-5 + 3 = -2

3 - 2 = 1

-2 + 1 = -1

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Can someone help me with exterior angle theorem?

According to the **exterior angle theorem**, an external angle's measure is equal to the sum of its remote interior angle's two measurements. The opposite **interior angles** are another name for the remote interior angles. Where can I determine a **triangle's outer angle**? In a triangle, how can I determine the interior and outside angles?

Take the total of two interior angles of a triangle that are known and deduct it from 180 to find the internal angle of the triangle.

Simple addition of the triangle's two opposite internal angles will yield the triangle's external angle. 180° minus the inside angle equals each **exterior angle**. Using this formula requires the knowledge of the corresponding internal angle. Exterior angle = Total.

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Solve please please

Popular Problems **Algebra Solve** for h A=1/2h(b+B)

A = 1/2h (b+B)

**h=2Ab+B**

**Explanation**

Popular Problems Algebra Solve for h A=1/2h(b+B)

A= 1/2 h(b+B)

Rewrite the equation as

1/2⋅(h(b+B))=A.

1/2⋅(h(b+B))=A

Multiply both sides of the equation by 2.

2(1/2⋅(h(b+B)))=2A

hb+hB=2A

Factor h out of hb+hB.

h(b+B)=2A

Divide each term in h(b+B)=2A by b+B and simplify.

**h=2Ab+B**

**How is algebra solved?**

A General Rule for Equation Solving

Remove parentheses from each side of the equation and combine similar phrases to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find theTo learn more about **A=1/2h(b+B) **refer to:

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Solve the following equation.

x

5

+

64

x

2

=

0

x

5

+64x

2

=0

The **value** of x in the **equation** x⁵ + 64x² = 0 is x = 0 or x = -8 after taking** common**.

**Polynomial **is the **combination** of variables and **constants** systematically with "n" number of** power **in ascending or **descending** order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

It is given that the **polynomial **equation is:

x⁵ + 64x² = 0

x²(x³ + 64) = 0

x² = 0 or x³ + 64 = 0

x = 0 or x³ = -64

x = 0 or x = -8

Thus, the **value** of x in the **equation** x⁵ + 64x² = 0 is x = 0 or x = -8 after taking** common**.

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number of odd number outcomes when a die is rolled

**Answer:**

**Explanation: **

A die has 6 faces numbered 1 to 6.

The **sample space when a die is rolled** is:

Thus, the number of** odd number outcomes** when a die is rolled is:

solve for x 7x^2+49=0

**Answer:**

[tex]7 {x}^{2} + 49 = 0 \\ 7( {x}^{2} + 7) = 0 \\ \frac{7( ({x}^{2} + 7) }{7} = \frac{0}{7} \\ {x}^{2} + 7 = 0 \\ {x}^{2} = - 7[/tex]

NOTE THERE IS NO SOLUTION FOR THE GIVEN EQUATION **SINCE**** ****THE**** ****SQUARE**** ****OF**** ****ANY**** ****NUMBER**** ****CANNOT**** ****GIVE**** ****A**** ****NEGATIVE**** ****NUMBER****.**

**THE**** ****SQUARE**** ****OF**** ****ANY**** ****NUMBER**** ****WHETHER**** ****IT'S**** ****POSITIVE**** ****OR**** ****NEGATIVE**** ****ALWAYS**** ****GIVES**** ****A**** ****POSITIVE**** ****NUMBER****. **

**GOODLUCK****!****!**

Find an equation to represent a line that goes through (1, 10) and (2, 8).

y = -2x + 12 is the **linear equation **of the **line **that passes through the **coordinates **of points (1, 10) and (2, 8).

The **formula **for **equation **of **line **is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

The **slope **of a **line **is expressed as change in y over change in x.

Slope m = (y₂-y₁)/(x₂-x₁)

Given the data in the question;

Point 1 ( 1, 10 )

x₁ = 1y₁ = 10Point 2 ( 2, 8 )

x₂ = 2y₂ = 8First, we determine the **slope **of the **line**.

Slope m = (y₂-y₁)/(x₂-x₁)

Slope m = ( 8 - 10 )/( 2 - 1 )

Slope m = (-2)/( 1 )

Slope m = -2

Now, determine the **y**-**intercept **b, by substituting the **slope **and the coordinates of one **point **into the equation of line formula.

y = mx + b

10 = -2(1) + b

Solve for b

10 = -2 + b

b = 10 + 2

b = 12

Now that we have the **slope m **and **y**-**intercept b**, plug these into y = mx + b to determine the **equation **of the **line**.

y = mx + b

y = -2(x) + 12

y = -2x + 12

Therefore, the **equation **of the **line **that goes through the given **points **is y = -2x + 12.

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1. El rectángulo A mide 12 cm por 3 cm. El Rectángulo B es una copia a escala del Rectángulo A. Seleccione todos los pares de medidas que podrían tener las dimensiones del Rectángulo B.

A. 6 cm por 1,5 cm

B. 10 cm por 2 cm

C. 13 cm por 4 cm

D. 18 cm por 4,5 cm

E. 80 cm por 20 cm

2. El rectángulo A tiene 12 de largo y 8 de ancho. El rectángulo B tiene 15 de largo y 10 de ancho. El rectángulo C tiene 30 de largo y 15 de ancho.

una. ¿Es el Rectángulo A una copia a escala del Rectángulo B? Si es así, ¿cuál es el factor de escala?

b. ¿Es el Rectángulo B una copia a escala del Rectángulo A? Si es así, ¿cuál es el factor de escala?

C. Explica cómo sabes que el Rectángulo C no es una copia a escala del Rectángulo B.

d. ¿Es el Rectángulo A una copia a escala del Rectángulo C? Si es así, ¿cuál es el factor de escala?

1. The pairs of measurements that could have the dimensions of **Rectangle** B include:

A. 6cm by 1.5cm

D. 18cm by 4.5cm

E. 80cm by 20cm

2. **Rectangle** A is a **scaled** copy of rectangle B as the scale factor is 3:2.

Rectangle C isn't a scales factor of rectangle B since they have different **ratio**.

1. It should be noted that from the information, **Rectangle** A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A.

Therefore, it should be noted that the **ratio** will be:

= 12 / 3

= 4 / 1

= 4:1

Therefore, the **values** that will give same ratio will be:

6cm by 1.5cm = 6/1.5 = 4:1

18cm by 4.5cm = 18/4.5 = 4:1

80cm by 20cm = 80/20 = 4:1

In conclusion, the correct options are A, D, and E.

2. **Rectangle A** is 12 long and 8 wide. The ratio will be:

= 12/8 = 3/2 = 3:2.

Rectangle B is 15 long and 10 wide. The ratio will be:

= 15/10 = 3/2 = 3:2

**Rectangle** C is 30 long and 15 wide. The ratio will be:

= 30/15 = 2:1

Therefore, rectangle A and B have same scale.

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Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A. Select all pairs of measurements that could have the dimensions of Rectangle B.

A. 6cm by 1.5cm

B. 10cm by 2cm

C. 13cm by 4cm

D. 18cm by 4.5cm

E. 80cm by 20cm

if die us rolled once what is the probability of getting a number that is not 3

The rule of probability is

[tex]P(A)=\frac{A}{\text{total}}[/tex]Since the die has 6 numbers, then

The total = 6

Since there are 5 numbers without 3, then

A = 5

Substitute them in the rule above

[tex]P(\text{not}3)=\frac{5}{6}[/tex]**The answer is 5/6**

Find the first derivative.

Answer: y’ = 2/3 x^1/2 - 2/ sqrt of x - 5/2x^2/3

I’m given an answer but don’t know how to get it.

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{ \sqrt{x} (2x - 4) -( \frac{{x}^{2} - 4x + 5) }{2 \sqrt{x} } )}{x } [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{ {x}^{2} - 4x + 5 }{ \sqrt{x} } [/tex]

We know, division rule of differentiation :

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{u}{v} [/tex]

then,

[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{v\frac{du}{dx} - u \frac{dv}{dx} }{(v) {}^{2} } [/tex]

So, let's do the same in given equation :

[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{ \sqrt{x} \frac{d}{dx}(x {}^{2} - 4x + 5) - ( {x}^{2} - 4x + 5) \frac{d}{dx}( \sqrt{x} ) }{( \sqrt{x} ) {}^{2} } [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{ \sqrt{x} (2x - 4) -( {x}^{2} - 4x + 5) \frac{1}{2 \sqrt{x} } }{x } [/tex]

[ This is the required Answer, but you can simplify it however you want according to the choices given ]

[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{x \bigg( \frac{\sqrt{x} (2x - 4)}{x} -( {x}^{2} - 4x + 5) \frac{1}{2x \sqrt{x} } \bigg)}{x } [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{\sqrt{x} (2x - 4)}{x} -( {x}^{2} - 4x + 5) \frac{1}{2x \sqrt{x} } [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{(2x - 4)}{ \sqrt{ x}} - \frac{( {x}^{2} - 4x + 5) }{2 \sqrt{x {}^{3} } }[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

A landlord charged $865 per month to rent an apartment in 2010. The rent increased

at a constant rate and reached $1065 per month in 2018.

a. Write a linear model that represents the monthly rent as a function of the number

of years since 2010.

b. Use the model to estimate the monthly rent in 2021.

**Answer:**

**y = 25x + 865**

**so the monthly rent in 2021 is 1,140**

**do you need an explanation or is this fine?**

When $\dfrac{2}{13}$ is written as a decimal, what is the $2000^\text{th}$ digit after the decimal point?

The 2000th digit after the **decimal** **point **is 5. See the explanation below.

First, we divide the fraction to get the **decimal** **number**.

2/13 = 0.15384615384

Paying close attention, you'd notice that after the 6th number forms the decimal point, the number forms a **loop **that repeats again. That is:

0.153846 153846 154...

Hence, to detect the **2000th number**,

we divide 2000/6

we are left with 2

(that is 333 x 6 = 1998)

Hence we count two from the decimal and that gives us the 2000th digit.

That is: 5

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**Full Question:**

[tex]When $\dfrac{2}{13}$ is written as a decimal, what is the $2000^\text{th}$ digit after the decimal point?[/tex]

I need this asap!!!!!

**Answer:**

average rate of change = 23

**Step-by-step explanation:**

the average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

here [ a, b ] = [ 4, 9 ] , then

f(b) = f(9) = 212 ← from ordered pair in table

f(a) = f(4) = 97 ← from ordered pair in table , then

average rate of change = [tex]\frac{212-97}{9-4}[/tex] = [tex]\frac{115}{5}[/tex] = 23

Exponential Growth and Decay : Growth Formula : y = a(1 + r)', Decay Fórmula: y = a(1 – r) 1. Suppose you deposited $5,500.00 at a bank with an annual interest rate of 5%. What would be the amount in the bank after 20 years?

in this case we have that it is growth formula, so we have that r= 0.05 and a =5500. Therefore the formula is

[tex]y=5500\cdot(1.05)^t[/tex]we only need to replace t by 20 and calculate

[tex]y=5500\cdot1.05^{20}=14593.13[/tex]so after 20 years we hace $14593.13 in our bank account

Suppose that events E and F are independent, P(E) = 0.25, and P(F) = 0.7. What is the P(E and F) ?

the value of P(E and F) is equal to 0.175 when E and F are **independent events **with P(E) = 0.25 and P(F) = 0.7.

We are given the two **events**:

E and F

We are also given that these events are **independent events **and:

P (E) = 0.25

P (F) = 0.7

We need to find:

P (E and F)

We know, that when two events are **independent events **that is they don't **relate **to each other, then P(E and F) is given by:

P(E and F) = P (E) × P (F)

P(E and F) = 0.25 × 0.7

P(E and F) = 0.175

Therefore, we get that, the value of P(E and F) is equal to 0.175 when E and F are **independent events **with P(E) = 0.25 and P(F) = 0.7.

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Kate paid 2.50 for 8 juice boxes how much should kate be expected to pay for 24 juice boxes

$60

2.50 x 24= 60 for 24 juice boxes .

2.50 x 24= 60 for 24 juice boxes .

====================================================

Work Shown:

(2.50 dollars)/(8 juice boxes) = (x dollars)/(24 juice boxes)

2.50/8 = x/24

2.50*24 = 8x

60 = 8x

8x = 60

x = 60/8

x = **7.50**

----------------

Another approach:

She paid $2.50 for 8 juice boxes. The unit price is 2.50/8 = 0.3125 dollars per juice box. Multiply this by 24 to get 24*0.3125 = **7.50**

----------------

Yet another method:

We know the cost for 8 juice boxes is $2.50

We want to know the cost for 24 juice boxes.

The jump from 8 to 24 is "times 3". So we'll multiply the $2.50 cost by 3 to get 3*2.50 = **7.50**

We can think of it like this

[tex]\frac{2.50 \ \text{dollars}}{8 \ \text{juice boxes}}=\frac{3*2.50 \ \text{dollars}}{3*8 \ \text{juice boxes}}=\frac{7.50 \ \text{dollars}}{24 \ \text{juice boxes}}[/tex]

For whom would a car loan be a better option than a car lease?

A.

Kate frequently changes her cars, constantly switches professions, and detests selling and trading cars.

B.

Brian likes the feeling of owning his own car. He takes good care of it and doesn't like changing cars often.

C.

Joe hates the idea of maintaining his car. He prefers to have a car that is always under warranty.

**Brian** likes the feeling of **owning** his own car. He takes good care of it and doesn't like changing cars often is whom a car **loan** would be a better option than a car lease and is denoted as option **B**.

This is referred to as the total **money** borrowed which is used in the purchase of a **car** while on the other hand car **lease** involves the vehicle being made available to be driven for certain period of time or limit.

Since Brian likes the feeling of **owning** his own car and doesn't change cars often, then the car **loan** is best for him as it becomes his after the money or amount to be repaid is completed.

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Please help I’ll mark you as brainliest if correct!

**Answer:**

A is 729,2187,6561 and it would be geometric

B is 46,55,64 and is arithmetic

C is 32,36,40 and is arithmetic

Find where line a & tne line that has an undefined slope intersect.

Write the

coordinates of the point.

The **coordinates** of the **point **of intersection are (-6, -7)

The **graph** represents the given parameter

On the **graph**, we can see that there are two lines with the following properties:

The above properties means that:

Line 1: Has aFrom the **graph**, we can see that the **lines **A and the other line meet at a point

The point where these lines meet is referred to as the **point of intersection **

The **coordinates** of this point are (-6, -7)

Hence, the **coordinates **of the point where line a & tne line that has an undefined **slope intersect** are (-6, -7)

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When a number is added to 20 and 5 is subtracted from the number, their product is 150. Find the two possible numbers.

**Answer:**

24 ajsndkalxndma skwma wjlslaos ndnajala

Mr. rivas bought 12 tickets to the high school drama production and spent $40. he purchased a combination of child tickets for $2 each & adult tickets for $6 each, write a system of equations to determine the number of child’s tickets (x) and adult tickets (y) he bought , the solve this system using any method you’d like.

**Answer:**

x = 8, y = 4

This can also be written as an ordered pair: (8, 4)

**Step-by-step explanation:**

First, set up a system of equations:

x + y = 12, $2x + $6y = $40

The first equation shows that there are a total of 12 tickets, and the other shows that the total of money for all the tickets adds to $40.

Then, solve by elimination by subtracting twice the first equation from the second to isolate y:

2x + 6y = 40

- (2x + 2y = 24)

0 + 4y = 16

And now we can solve for y:

4y = 16

**y = 4**

Then, put this back into the original equation to solve for x:

x + y = 12

x + 4 = 12

**x = 8**

what is 2 1 4 + (1 3 4 )
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