. Write the equation in slope intercept form for the line that goes through point (−10, 8) with slope =6.

Answers

Answer 1
Answer: y = mx + b is slope intercept form

x = -10
y = 8
m = 6

1. Solve for b

8 = (6)(-10) + b
b = 68

2. Plug m and b back into your slope intercept equation

y = 6x + 68

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Simplify the expression x2/5^10A. X^1/5 B. X^1/4C. X^4D. X^5

4 + 6x + 5 = 7x Could someone help me? Thanks :) And could you also show how u did it

Answers

Answer:

x=9

Step-by-step explanation:

combine like terms

4+6x+5=7x

4+5=9

9+6x=7x

to get 6x with 7x subtract 6x from both sides as its positive

6x-6x=0

7x-6x=x

9=x

x=9

Enzo is making a scale drawing of the rectangle below.A rectangle has a length of 8 centimeters and width of 5 centimeters.

Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Which explains whether Enzo is correct?

Answers

Answer:

Enzo is not correct because he did not multiply the length and width by the same factor.

I do not think Enzo is not correct because he did not multiply the length and width by the same factor.

he is making a  drawing of the rectangle below.

A rectangle has a length of 8 centimeters and width of 5 centimeters.

Suppose a new rectangle will have the length of 16 cm.  

Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Enzo is not correct because he did not multiply the length and width by the same factor.

Answer:

Enzo is not correct because he did not multiply the length and width by the same factor.

Step-by-step explanation:

A restaurant bill is $20. Find the 15% tip.

Answers

Answer:

You want to leave a 15% tip on a meal that cost $20. 0.15 x $20.00=$3.00. So, the amount of tip you are going to leave is $3.00.

Step-by-step explanation:

Answer $3.00

Step-by-step explanation:

Dayton is due north of Richmond, and Easton is 16 mi due east of Richmond. Dayton is 32 mi from Easton.How far apart are Dayton and Richmond? Round to the nearest tenth of a mile.


___ mi

Would you do 32^2-16^2 or 32^2+16^2

Answers

We need to use the Pythagorean Theorem, which states:

Hypotenuse^2 = (Leg_(1))^2 + (Leg_(2))^2

Look at the image I have attached.

Using what we know, we get:

32^2 = x^2 + 16^2\n\nx^2 = 32^2 - 16^2\n\nx^2 = 1024 - 256\n\nx^2 = 768\n\n\boxed{\bf{x=27.7~miles}}

You would have to do sqrt(32^2 - 16^2) to get the answer.

Your final answer is 27.7 miles.

Hope this helped! If you have any other questions or would like further explanation just let me know!! :)
It is 32^2 - 16^2

Draw a triangle

Richmond is right above of Dayton (North). The distance between them is a side of  the right triangle. You do not know this distance , it is the unknown side.

Dayton is 16 mi to the east. It is the other side of the right triangle.

The other known length is the hypotenuse of the right triangle, which is the distance from Easton to Dayton. It is 32 mi.

As per Pythagorean theorem, (Side_1)^2 = (hypotenuse)^2 - (Side_2)^2

A rectangular bedroom floor has an area of 100 square feet and a length of 10 feet. What is the perimeter of the floor?

Answers

The area is calculated by multiplying the length by width, the perimeter is calculated by adding up every side of the rectangle

Considering that we already are given the length of the floor we must divide 100 (the area) by 10 (the length) to get the width

100/10= 10 (the width)

The perimeter is equal to each side of the rectangle added together, a rectangle has two lengths and two widths

Therefore: 10 (the length) + 10 (the length) + 10 (the width) + 10 (the width) = 40

The perimeter is 40 feet

You measured 6 cups of water and 5 cups of lemon juice to make how many total quarts of lemonade? quarts cups

Answers

Total cups of lemonade:

6 cups + 5 cups = 11 cups

Total quarts and cups of lemonade:

11 cups ÷ 4 cups = 2 quarts 3 cups

1 quart is 4 cups so 11 cups is 2.75 quarts