What is an equation of the line that passes through the points (4, -1) and
(-8, – 7)? Put your answer in fully reduced form.

Answer:

Step-by-step explanation:

Y)  [tex]\frac{x+4}{8}[/tex] = 3

*multiply both sides by 8 - cancels out 8 in denominator*

x + 4 = 24

*subtract 4 from both sides*

x = 20

E) [tex]\frac{x-5}{2}[/tex] = 1

*multiply both sides by 2 - cancels out 2 in denominator*

x - 5 = 2

*add 5 on both sides*

x = 7

N) [tex]\frac{x+2}{4}[/tex] = 2

* multiply both sides by 4 - cancels out 4 in denominator*

x + 2 = 8

*subtract 2 from both sides*

x = 6

Answer:

2.14 pounds of flour per dollar

Step-by-step explanation:

This is a simple ratio. All you need to do is divide the amount he paid from the pounds to get how many he got for every dollar.

Answer:

X: (-2)   (-1)    (0)      (1)      (2)

y: (5)     (4)    (5)      (8)     (13)

Step-by-step explanation:

╰(▔∀▔)╯   (─‿‿─)    (*^‿^*)    ヽ(o^ ^o)ﾉ    (✯◡✯)    (◕‿◕)    (*≧ω≦*)

Answer:

The answer is: 9.50

Answer: $18.19

Step-by-step explanation:

b = 92 degrees (choice B)

c = 92 degrees (choice D)

d = 92 degrees (choice F)

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

Explanation:

Angles a and b are supplementary because they form a straight angle when combined. The two angles add to 180

a+b = 180

88+b = 180 ... plug in a = 88

b = 180-88 ... subtract 88 from both sides

b = 92

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

Angles b and c are congruent because they are alternate interior angles. Alternate interior angles are congruent when dealing with parallel lines.

Since the diagonal entrance ramps are parallel, this means the corresponding angles c and d are congruent.

Since b = 92, this means c = 92 and d = 92 also.

A flowchart proof is a visual representation of logical steps used to prove a mathematical statement or theorem.

It involves breaking down the proof into a series of connected statements and reasons, organized in a flowchart format.

Each statement is supported by a reason or justification, demonstrating the logical progression of the proof. Flowchart proofs provide a clear and structured way to present mathematical arguments, allowing for easy comprehension and verification of the proof's validity.

They help in identifying key steps, dependencies, and the overall structure of the proof, making it easier to follow and understand the reasoning behind mathematical statements.

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Answer:

[tex]\huge \boxed{\sf \bf x^2+10x+24}[/tex]

Step-by-step explanation:

Hello,

This is the same logic as your other question

-6 and -4 are roots and the leading coefficient is 1 so the quadratic equation is

[tex](x+4)(x+6)=x^2+10x+24[/tex]

Thanks

Answer:

0.155625 or .16 cents per ounce

Step-by-step explanation:

2 tons is 64000 ounces so 9960 divided by 64000 is .155625

Answer:

- 7

Step-by-step explanation:

Step 1:

2x + 3 = x - 4      Equation

Step 2:

2x = x - 7      Subtract 3 on both sides

Answer:

x = - 7      Subtract x on both sides

Hope This Helps :)

Answer:

approximately 35.9

Step-by-step explanation:

(5+44+182-20-10)÷(2+5)

(99+182-20-10)÷(7)

(281-20-10)÷(7)

(261-10)÷÷(7)

(251)÷(7)

approximately 35.9

Answer:

John got 13 questions right and 2 questions wrong.

Step-by-step explanation:

15 questions right equals 100%.

100 {divided by} 15 = % for each question right

Each question is worth (100 diveded by 15) 6.7%.

84% {diveded by} 6.7% = 12.5

100% - 84% = 16%

16% {divided by} 6.7% = 2.38

Because 12.5 has a higher dicimle value than 2.38 and when the amount he got right is added to the amount he got wrong it needs to equal 15, 12.5 becomes 13 and 2.38 becomes 2.

Answer:

[tex]\frac{n}{15} =\frac{84}{100}[/tex]

[tex]n = \frac{21}{25}*5[/tex]

[tex]n = \frac{21*15}{25}[/tex]

[tex]n = \frac{315}{25}[/tex]

[tex]n = \frac{63}{5} or 12.6[/tex]

Answer:

e = 6

Step-by-step explanation:

Step 1: Write equation

-2(8 - e) = 2 - e

Step 2: Solve for e

Step 3: Check

Plug in e to verify it's a solution.

-2(8 - 6) = 2 - 6

-2(2) = -4

-4 = -4

Answer:

40%

Step-by-step explanation:

Firstly

Area of triangle when base is 10 inches and height is 8 inches

= 1/2*b*h

= 1/2*10*8

=40square inch

Again when base =4 inches

= 1/2*4*8

= 16square inches

percent of the area of the triangle is within 4 inches of the base

= 16/40*100%

= 40%

A triangle has an 8-inch height and a 10-inch base. The percent of the area of the triangle is within 4 inches of the base exists 40%.

Area of triangle = 1/2 (b h), where b is the base and h is the height, is the fundamental formula for calculating a triangle's area.

The type of the triangle and the known dimensions can affect other formulas that are used to calculate the area of a triangle.

Given: A triangle has an 8-inch height and a 10-inch base.

Let the equation be

Area of a triangle = (1/2) bh

substitute the values in the above equation, we get

= (1/2) × 8 × 10

= 40 square inches.

Once more with a 4 inch base

= 1/2 × 4 × 8

= 16 square inches.

Within 4 inches of the base, % of the triangle's surface area

= 16/40 × 100%

= 40%

Therefore, the percent of the area of the triangle is within 4 inches of the base exists 40%.

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Answer:

-3

because f(x)= y then y =3

therefore if we find point 3 on y axis and then see which point is on the horizontal line of 3 which is -3

hope this helps you.

Answer:

B

Step-by-step explanation:

$30 X x number of lbs + 2 for shopping when x pounds are greater than 0 and less than 10 and 24 dollars X x number of pounds + 6 for shipping when x lbs are greater than or equal to 10.

Answer:

4.8 x 10^9

Step-by-step explanation:

E9 is 10 raised to the power of 9

Scientific notation requires you to write a number from 1 to 10 then multiply it by 10 raised to a number x.

In this case:

4.8E9 = 4,800,000,000

Number between 1 and 10 = 4.8

Number of zeroes = 8 but because you have to multiply 4.8 times 10 to get 48 the answer is 4.8 x 10^9... so one extra 10... 1+8=9

Hope you understand

Answer:

8

I hope this helps!

Answer:

The number 8.

Step-by-step explanation:

The digit in the tenths place is 8. The tenth place is the first digit on the right side of a decimal point. 0.831

Answer:

11 (2c+3d)

Step-by-step explanation:

Answer:

11 x(2c + 3d)

Step-by-step explanation:

Could you please add answer choices next time?

Answer:

-9

Step-by-step explanation:

Hope this helps

Answer:

yes

Step-by-step explanation:

Answer:

x=38 degrees, y=41 degrees, z=97 degrees

Step-by-step explanation:

The Triangle Angle-Sum Theorem states that all interior angles of a triangle will add up to 180 degrees.

Look at the triangle to the right. The missing value of x will complete the theorem, therefore the equation 59+83+x=180 will find x. x=38 when we solve the equation.

The triangle on the left has two missing variables, but since angles z and 83 degrees are supplementary to each other, we can make another equation z+83=180 since supplementary angles add up to 180 degrees. z=97 when we solve the equation.

Since we have z, we can now find the value of y given the Triangle Angle-Sum Theorem. The equation would be 42+97+y=180 so we can solve for y. y=41 when we solve the equation.

Answer:

x=38

z=97

y=41

Step-by-step explanation:

Answer:

3/10 divided by 1/3= 0.9

Step-by-step explanation:

Answer:

7 rings = $2.52

then 1 ring will cost = 1/7×2.52

= 0.36

Therefore 1 ring will cost $0.36.

Answer:

RT = 23

Step-by-step explanation:

We will have a line that essentially goes like this:

R-----S-----T

The distance from R to S is 12 units.

The distance from S to T is 11 units.

We need to find the distance from R to T.

R is the starting point and T is the ending point.

To find the total distance, we can add both line lengths.

12 + 11 = 23 units

Best of Luck!

Answer:

this

Step-by-step explanation:

Answer:

the answer is 31.29

Step-by-step explanation:

Answer:

31.9 dollars

Step-by-step explanation:

15% of 208.60

= 15/100 x 208.60

= 3190/100

= 31.9

Answer:

(1/5)*p = 15 // - 15

(1/5)*p-15 = 0

1/5*p-15 = 0 // + 15

1/5*p = 15 // : 1/5

p = 15/1/5

p = 75

p = 75

Answer:

p=75 cause that's just it