Find the slope of the line that passes through (10, 2) and (4, 3).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

**Answer:**

**Slope = rise/run = y2-y1/x2-x1**

y1 = 2

y2 =3

x1 = 10

x2 = 4

3-2/4-10

=1/-6 = -1/6

**Plssss mark as Brainliestt**

**Also drink coffee and do physical sports for less stress :)**

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

[tex]\qquad \tt \rightarrow \:slope(m) = -\dfrac{1}{6} [/tex]

____________________________________

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

Slope (m) of a line can be calculated by using this formulae :

[tex]\qquad \tt \rightarrow \: m = \dfrac{rise}{run} [/tex]

Considering two points [ (4 , 3) and (10 , 2) ]

[tex]\qquad \tt \rightarrow \: m = \dfrac{y2 - y1}{x2 - x1} [/tex]

[tex]\qquad \tt \rightarrow \: m = \dfrac{2 - 3}{10 - 4} [/tex]

[tex]\qquad \tt \rightarrow \: m = \dfrac{-1}{6} [/tex]

[tex]\qquad \tt \rightarrow \: m = - \dfrac{1}{6} [/tex]

So, slope of given line is -1/6

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Fill in the blank to make a perfect square trigeminal x^+18x+

The number that** fills in the blank** to make a **perfect square trigeminal **of the given expression is 81.

Given expression:

[tex]x^2+18x +[/tex] _

We have to find the number that will fill the blank.

A perfect square trigeminal** **is an **algebraic expression** that is of the form ax 2 + bx + c, which has three terms. It is obtained by the **multiplication** of a **binomial** with itself.

Let the number that fills the blank be a.

Hence, the expression becomes:-

[tex]x^2+18x +a[/tex]

To make it a perfect square geminal, the expression must be a perfect square of a binomial.

We know that,

[tex](x+y)^2=x^2+2xy+y^2[/tex]

Comparing it with given expression, we get

2xy = 18x and,

[tex]y^2=a[/tex]

Hence,

y = 9

a = [tex]9^2[/tex] = 81

Hence, the **number** that fills the blank is 81.

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In a given country, the average price of a gallon of unleaded gasoline in 1995 was $2.54. In 2010, the average price was $3.18. Find and interpretThe average rate of change in the price of a gallon of gasoline per year. The average rate of change is $ ___ per year.(Type an integer or a decimal. Round to the nearest cent as needed.)

The rate of change is found using the slope formula

m = ( y2-y1)/(x2-x1)

We have two points

( 1995, 2.54) ( 2010, 3.18)

m = (3.18-2.54) / (2010-1995)

=.64/15

$.042666666 per year

Rounding to the nearest cent

$.04 per year

We know that the price went up from 1995 to 2010 so the price increased

It increased an average of $.04 each year

A. The price of a gallon of gasoline increased by an average of $_.04__ per year from 1995 to 2010

State all integer values of x in the interval 3 ≤ x ≤ 9 that satisfy the following

inequality:

-4x+10> -7

The **integer** values of x in the interval 3 ≤ x ≤ 9 that will satisfy the **inequality** include 3, 4, 5, 6, 7, 8, and 9.

It should be noted that an integer is simply used to represent a given **number** which can be positive.

From the information, we are given the information 3 ≤ x ≤ 9. This means that 3 is less than or equal to x and x is less than or **equal** to 9.

Therefore, the **number** that fits are from 3 to 9.

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Help, this is Math.

Dividing fractions

**Step-by-step explanation:**

don't panic. just breathe and then use common sense.

1.

1 math question in 1/200 second

2 minutes have 2×60 seconds = 120 seconds.

each of the seconds has 200 1/200 seconds.

so, in 2 minutes we have

120 × 200 time units to finish math questions.

in each time unit 1 math question can be answered.

120×200 = 24,000

the computer can answer 24,000 math questions in 2 minutes.

2.

it can run for 15 minutes.

15 minutes have

15×60 = 900 seconds (as every minute has 60 seconds)

it can vacuum 1/2 ft² in 1 seconds.

in 900 seconds it can then vacuum 900×1/2 = 450 ft².

so, yes, it can clean 400 ft² without recharging.

15/14 multiplied by 4/3

The answer is 1 3/4

Hope this help

Hope this help

You and a friend are going to the movies. Tickets cost $5 each and you both buy popcorn and soda. Each costs a different amount. Write an algebra expression to represent the cost of your friends and your trip to the movies.

**Answer:**

2(5)+2x+2y

**Step-by-step explanation:**

since you both have the tickets the amount of the prize is going to double. You both also bought popcorn and soda if we take 1 popcorn as "x" it is also going to multiple 2 times same with the soda except different variable.

evaluate log49 base 1/7

**Answer:**

**Step-by-step explanation:**

Exact Form:

1/2

Decimal Form:

-0.5

**Answer:**

- 2

**Step-by-step explanation:**

using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

given

[tex]log_{\frac{1}{7} }[/tex] 49 = n , then

49 = [tex](\frac{1}{7}) ^{n}[/tex]

49 = [tex](7^-1)^{n}[/tex] , that is

7² = [tex]7^{-n}[/tex]

since bases on both sides are equal then equate exponents

- n = 2 ( multiply both sides by - 1 )

n = - 2

Sandy is buying t shirts for her school. The company she called charges $5.75 per shirt plus a $35 set up fee. Write an expression that represents the total cost for x number of shirts?

The **expression **that represents the given condition is given by

5.75x + 35.

In mathematics, an **expression **that was created using integer variables, constants, and algebraic operations is known as an algebraic **expression **(**addition**, subtraction, **multiplication**, division and exponentiation by an exponent that is a rational number)

If x shirts are bought, cost of x shirts at $5.75 = 5.75x

Set up fee $ 35

Total cost of x shirts = 35 + 5.75x

Therefore the required **expression **= 35 + 5.75 x

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The assets and liabilities of a credit union banker are listed below.

What is the total net worth is the banker pays off the student loans?

A. $219,869

B. $247,517

C. $233,693

D. $252,304

Given the credit union banker's **assets** and **liabilities**, their total **net worth** is C. $233,693.

The **net worth** of an individual is the difference between their **assets** (long-term and short-term) and their **liabilities** (long-term and short-term).

The **net worth** is equivalent to the **equity** of a business, which refers to the net **assets** owned by the stockholders after paying off all **debts**.

Car Value = $29,850

Savings Accounts = $12,409

Treasury Bonds = $10,000

Checking Account Balance = $19,419

Home Value = $194,450

Total assets = $266,128

Liabilities:Car loan = $10,560

Student Loans = $13,824

Credit Card Balance = $8,051

Total liabilities = $32,435

**Net worth** = $233,693 ($266,128 - $32,435)

Thus, the banker's **net worth** is not $219,869, $247,517, or $252,304 but Option C.

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**Answer:**

$247,517

**Step-by-step explanation:**

ITS RIGHT ON THE TEST GUYS ! :)

what is 2/3 times 1/16

**Answer:**

1/24

**Step-by-step explanation:**

**Answer:**

1/24

**Step-by-step explanation:**

so first you cross out the 2 and 16 because 2*8=16

then you multiply the numerator and the denominator.

then bam! your answer!

1/24

given that f(x) =3x+7 and g(x) x2/2 what is the value of f(g(4))

Given the following functions:

[tex]\begin{gathered} f(x)=3x+7 \\ g(x)=\frac{x^2}{2} \end{gathered}[/tex]to find f(g(4)), we can start by finding g(4) first:

[tex]\begin{gathered} x=4 \\ \Rightarrow g(4)=\frac{(4)^2}{2}=\frac{16}{2}=8 \\ g(4)=8 \end{gathered}[/tex]now that we know that g(4) = 8, we can calculate the composition f(g(4)):

[tex]undefined[/tex]**Answer:**

f(g(4) ) = 31

**Step-by-step explanation:**

evaluate g(4) then substitute the value obtained into f(x)

g(4) = [tex]\frac{4^2}{2}[/tex] = [tex]\frac{16}{2}[/tex] = 8 , then

f(8) = 3(8) + 7 = 24 + 7 = 31

The length of a rectangular sign is 12 ft less than twice its width. Its perimeter is 144 ft. Find the length and the width of the sign.

The **rectangular** **sign** is 30 feet in **length** and 42 feet in **width**.

The **perimeter** of the **rectangular** **sign** = 144 ft

Let the **width** of the rectangular **sign** be **x**, and the **length** of the **sign** will be **x-12**

The **formula** for the perimeter of the rectangle:

**P = 2(l+w)**

where P = **perimeter** of the **rectangle**

l = **length** of the rectangle

w = **width** of the rectangle

Substituting the **values** in the formula we get:

144 = 2(x-12+x)

144 = 2(2x-12)

144 = 4x -24

168=4x

x= 42

So, the **length** is 30ft and the **width** is 42ft

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twice the diffrence of a number and 2 equals 8

**Answer:**

2(x - 2) = 8

x = 6

**Step-by-step explanation:**

2(x - 2) = 8

2(x - 2) = 8

2x - 4 = 8

+4 +4

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

2x = 12

÷2 ÷2

----------

x = 6

I hope this helps!

squared root 50 x squared root 8

surds

**Answer:**

20

**Step-by-step explanation:**

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{50}[/tex] × [tex]\sqrt{8}[/tex]

= [tex]\sqrt{50(8)}[/tex]

= [tex]\sqrt{400}[/tex]

= 20

Marking for BRAINLIEST!!!

A maximum number of 4 points are available for this question. Part A is worth 1 point. Part B is worth 1 point. Part C is worth 2 points.

Greg is shopping at a bicycle store. The store is having a sale and discounting all bicycles by 20% of the marked price. He decides to buy a bicycle with a marked price of $199.75.

Part A: Set up a proportion that can be used to find the dollar amount of the discount (d).

Part B: Given that the sales tax in Greg's state is 7%, what is the final cost of the bicycle he buys?

Part C: Greg's brother, Max, lives in a different state with a 5.5% sales tax rate. Max found the same bicycle discounted 25% from a regular price of $215.99. If Max buys the bicycle, who pays the lower total cost? Justify your answer.

Rrrrrrrrrrrrrrrrrr why can’t I get it I’ve been working on it for 20 minutes now!!

Which transformation

does not always preserve distance?

1 (x,y) → (x + 2, y)

2 (x,y) → (-y, -x)

3 (x,y) → (2x, y - 1)

4 (x,y) → (3-x, 2-y)

From Option 1,2,3 and 4.

Option 3 **transformation **is A **dilation **does not always preserve distance.

Give that,

We have to find which **transformation **does not always preserve distance.

1 (x,y) → (x + 2, y)

2 (x,y) → (-y, -x)

3 (x,y) → (2x, y - 1)

4 (x,y) → (3-x, 2-y)

Option 3 is A **dilation **does not always preserve distance.

**Dilation **means a modification of this kind that alters the size of the image is called a **dilatation**. How much larger or smaller the image is is determined by the scale factor, often known as the scalar factor. A picture of each type of **dilatation **is shown below (one that gets larger and one that gest smaller).

Therefore, Option 3 **transformation **is A **dilation **does not always preserve distance.

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Please list the number below least to greatest.PLEASE

27/4 , -3.2, -∛60 ,√48, 7.05 when arranged in ascending order we get:

**-3.2 , -∛60 , 27/4 , √48, 7.05**

How to order numbers from least to greatest?

Given list of numbers,

27/4 , -3.2 , -∛60 , √48 , 7.05.

simplifying each numbers ,

=> 27 / 4 = **6.75**

=> -∛60 = - ∛(2 × 2 × 3 × 5)

=** -3.9149**.

=> √48 = √(2 × 2 × 2 × 2 × 2)

= 4√3

= **6.928 **

So the list after simplification is ,

6.75 , -3.2 , -3.9149 , 6.928 , 7.05

Now arrange the numbers from least to greatest,

-3.2 , -3.91 , 6.75 , 6.928 , 7.05

= **-3.2 , -∛60 , 27/4 , √48, 7.05.**

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write 14/3 as a decimal.if necessary,use a bar to include which digit pr group of digits repeats.

To convert a fraction to a decimal, we simply divide.

Shown below:

This is never ending decimal with the "6" repeating.

Thus, we can put a bar over "6".

So,

[tex]\frac{14}{3}=4.\bar{6}[/tex]Julie is flying to New York. She has budgeted $200 to

rent a car for 3 days while she is there. If the car rental

is $44 per day plus $0.25 per mile, what is the

maximum number of miles Julie can drive the car?

The maximum number of miles Julie can drive the car is 272 miles.

Let's check how:

Julie's **budget** for renting a car is $200.

**number of days** she'll rent a car is 3.

**car rental** per day is $44 + $0.25 per mile.

so to know maximum no. of miles she can drive

we'll first subtract the 3 days rent from Julie's budget = $200 - ( 3 x $44 )

= $200 - $132

= $132

Now, the **left money** is $68.

so, we will divide $68 by $0.25 to know how much miles she can drive.

= $68 ÷ $0.25

= 272 miles

Hence, the maximum number of miles Julie can drive the car for 3 days is **272 miles**.

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Answer:

Step-by-step explanation:

help me please help huhu

**Answer:**

(1)** p(x) = 7x³ + 4x² + 6 - 9x⁴**

(2) **p(x) = 1 + 3x - 9x⁵**

(3) **y = 9x² - x³ + x⁹**

(4) f**(x) = (x +3)(x-2)(x+5)**

**Step-by-step explanation:**

Standard form has terms arranged from the highest to the lowest power

Degree is the highest power

Leading coefficient is the coefficient of the highest term

Leading term is the term containing the highest power

(x + 3) (x - 2)(x + 5)

(x + 3) (x - 2) = x² + x - 6 using the FOIL method

(x² + x - 6)(x +5) = x³ + 6x² -x - 30

**Step-by-step explanation:**

come on, we explained this already in previous questions. if you understood the explanations there, you should have been able to some that here without any problems.

again, standard form is the sorted polynomial from highest variable exponent to the lowest (as the potential constant at the end represents the x⁰ term).

the leading term is the first term on the left (with the highest exponent).

the leading coefficient is the factor in this leading term.

degree is the highest exponent used in the polynomial (again, given by the leading term).

so, what is still the problem ?

i have a slight problem with your handwriting. it is unclear, if there is 7x³ or 17x³. or 13x or 3x.

1.

p(x) = 17x³ + 4x² + 6 - 9x⁴

now, just sort this from the highest to the lowest exponent.

p(x) = -9x⁴ + 17x³ + 4x² + 6

if it should be 7x³ instead of 17x³, please use 7x³ in the polynomial.

degree = 4

leading coefficient = -9

leading term = -9x⁴

2.

p(x) = 1 + 13x - 9x⁵

again sort from highest to lowest exponent

p(x) = -9x⁵ + 13x + 1

again, if it should be 3x instead of 13x, please use 3x in the polynomial.

degree = 5

leading coefficient = -9

leading term = -9x⁵

3.

y = 9x² - x⁵ + x⁹

remember, y = f(x)

that is the same thing, means the same thing. it just gives the result variable a specific name.

again sort by exponent.

y = f(x) or p(x) or ... = x⁹ - x⁵ + 9x²

degree = 9

leading coefficient = 1

leading term = x⁹

4.

f(x) = (x+3)(x-2)(x+5)

this is really like the other question I just answered.

so, we always multiply 2 terms. that result we multiply by the third term. and if they're are more, then that result with the fourth term, and that with the 5th term,...

I usually start at the left :

(x+3)(x-2) = x² - 2x + 3x - 6 = x² + x - 6

now

(x² + x - 6)((x+5) = x³ + 5x² + x² + 5x - 6x - 30 =

= x³ + 6x² - x - 30

so,

f(x) = x³ + 6x² - x - 30

degree = 3

leading coefficient = 1

leading term = x³

The cat rescue is selling cat beds as a fundraiser. If its goal is to raise $1300, how many cat beds must be sold at $15.00 each to meet the goal?

The cat rescue must sell 87 beds to meet the** goal**

The car rescue is selling **cat beds** as a fundraiser

The goal is to raise $1300

Each cat bed is sold at $15

The number that must be sold to reach the **goal** can be calculated as follows

= 1300/15

= 86.6

= ≅ 87

Hence 87 **cat beds** must be sold to reach the** goal**

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Find the area of square plot of land whose each side measures 17/2

The **area **of the **land** is 289/4 square units

The **area **of a shape is the amount of space on the shape

For most **regular quadrilaterals**, you multiply the side lengths to determine the area

The given parameters are

Shape = Square

Side length = 17/2

The **area **of a **square shape **is

Area = Side length^2

So, we have

Area = (17/2)^2

Evaluate the exponent

Area = 289/4

Hence, the **area **of **square plot **of land whose each side measures 17/2 is 289/4 square units

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nathan eats 2 pounds of lunch meat every 8 days how much meat does he eat per day

He eats 0.25 a day of a pound

given : AD is perpendicular to DC, <1 and <2 are complementary Proven: <1 is congruent to <3

When two **straight lines **or rays intersect at a **single endpoint**, an angle exists formed. If 2 and 3 exists **complements**, and m2= 55°, then m3 = 90 - 55 = 35 degrees.

When two **straight lines **or rays intersect at a **single endpoint**, an angle exists formed. The vertex of an angle is the location where two points come together. The Latin word "**angulus**," which means "corner," is where the term "angle" originates.

An angle is a figure in **Euclidean geometry **made up of two rays that share a **common terminal **and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as **dihedral angles**.

Complements sum to 90 degrees.

If 1 and 2 are **complements **and m1 = 35°, then

m2 = 90 - 35 = 55 degrees.

Now if 2 and 3 are complements, and m2= 55°,

then m3 = 90 - 55 = 35 degrees.

The complete question is:

Given: 1 and 2 are complements, 2 and 3 are complements, and m1 = 35°. Prove: m3 = 35° Complete the missing parts of the paragraph proof. By then, we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of angles. Then, using the property, the measure of angle 3 is the degree.

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Mr. Mole left his burrow and started digging his way down. A represents Mr. Mole's altitude relative to the ground (in meters) after t minutes.

Based on the model that shows the **altitude **of **Mr. Mole** relative to the ground, the rate at which Mr. Mole was digging was 2.3 meters down per minute.

When given a **linear **function, the rate that the model progresses is given by the slope. The **slope **in a linear function can be found as:

y = mx + b

m = slope

b = y-intercept

In the model given for **Mr. Mole's digging,** which is -2.3t - 7, the slope is -2.3.

This means that Mr. Mole is digging downwards at 2.3 meters per minute.

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the ratio as a fraction in simplest form, 26.1 miles : 3.6 hours ?

**Answer:8.7:1.2**

**Step-by-step explanation: divide both by 3**

253 x 67 using the turtle method

The value of the **expression** 253×67 using the **turtle method** is given by 16951.

The **turtle method **of multiplication was designed in order to make the multiplication of **larger numbers** easier. The larger numbers can be multiplied imagining them as the form of a **turtle's head** and neck. It involves mainly three steps of **multiplication**. The first step includes the multiplication of the numbers lying on the neck of a **turtle**. The next step includes making the** collar** of the turtle, taking care of the **carryovers**, and laying the egg of the turtle. The last step involves the multiplication of the other numbers. In the question, we are given the expression 253×67. We multiply this **expression** in the turtle method as attached in the figure.

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Elyse uses 42 gallons of water for a 10-minute

shower. Write and solve a prediction problem that uses this information.

Water used in three minutes in the shower is 12.6 **gallons**.

An item's **unit** **rate** is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate.

Given Data

Elyse uses 42 gallons of water for a 10-minute shower,

Let

the **time** in minutes at position x

y=the **quantity** of water in gallons

The fact that

[tex]\frac{y}{x}[/tex] = [tex]\frac{42}{10}[/tex] = 4.2x

The **unit** price equals

The **slope** of the **linear** equation is equal to the unit rate.

then

y=4.2x

Problem

How much water will Elyse use in her shower for three minutes?

x = 3 minutes

substituting in the previous equation

y = 4.2x

y = 4.2(3)

y = 12.6

Water used in three minutes in the shower is 12.6 **gallons**.

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Hello, please I need the right answer for this:

**Answer: (4) **[tex]y=2x[/tex]

When you look at the table, you can see that the y values are double the x values they are associated with. Therefore, to get to the y value, the x values must be multiplied by 2, which would be the equation [tex]y=2x[/tex]

Create an Equivalent expression for 18^-7*18^5

18^5*18^-7 or 5*-7 I’m not exactly sure what answer they are looking for

from the following selections, choose the correctly punctuated sentence. three top sales representativesdaniel ortega, olga alverez, and kate heffernan discussed their winning strategies. three top sales representatives daniel ortega, olga alverez, and kate heffernan discussed their winning strategies. three top sales representativesdaniel ortega, olga alverez, and kate heffernandiscussed their winning strategies. choose the correct punctuation for this sentence.
Explain the characteristics of the Gypsum Hills region.
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What is the molar mass of an element that has a mass of 10.4 grams and contains 0.129 moles?
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a client's friend is visibly distressed by the client's condition and lack of improvement. the friend says they feel powerless and unable to help the friend. how should the nurse respond?
Is the study experimental or observational?A political pollster reports that his candidate has a 10% lead in the polls with 10% undecided.(A) ExperimentalB) Observational
Fahrenheit 451 Faber's love for books is juxtaposed with nature imagery throughout the book. Find a couple of examples of this, and then explain what statement Bradbury is making with that choice.
The heights of three cylinders are 3cm, 9cm and 15cm. if the larger cylinder has a capacity of 725mililiters calculate calculate the capacities of the other cylinder