The pitch of a roof is the ratio of the rise to the half-span. If a roof has a rise of 6 feet and a span of 16 feet, what is the pitch?

Answers

Answer 1
Answer: If the span is 16-ft, then the half-span is 8-ft.

Pitch = (rise) / (half-span) = 6/8 = 3/4  or  0.75  or 75% .

That's a VERY steep roof !

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Write an inequality for the given statement: The sum of x and 25 is less than 75.
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Which is more?1. Riding a bike 10 miles in 1 hour2. Jogging 3 miles in 24 minutes

Select two polynomials that have a sum of 16n^3+13n^2+7n-10 A. 8n^3 - 5n +11n^2 - 5 B. 7n^2 + 8n - n^3 + 2 C. 15n^2 - 10n + 3n^3 - 4 D. 2n^2 + 12n - 5 + 8n^3

Answers

Option A and Option D are correct,8n^3 - 5n +11n^2 - 5 and 2n^2 + 12n - 5 + 8n^3 are added to form the polynomial 16n^3 + 13n^2 + 7n - 10.

To find two polynomials that have a sum of 16n^3 + 13n^2 + 7n - 10.

Add the coefficients of the corresponding terms in each polynomial and see if they match the coefficients of the given polynomial.

In the given options, let us consider two polynomials:

8n^3 - 5n +11n^2 - 5 and 2n^2 + 12n - 5 + 8n^3

Add these two polynomials:

8n^3 - 5n +11n^2 - 5 + 2n^2 + 12n - 5 + 8n^3

Group the like terms:

8n^3+8n^3+11n^2+2n^2-5n+12n-5-5

Combine like terms:

16n^3 + 13n^2 + 7n - 10.

Hence, the two polynomials that have a sum of  16n^3 + 13n^2 + 7n - 10are 8n^3 - 5n +11n^2 - 5 and 2n^2 + 12n - 5 + 8n^3. Option A and D are correct.

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Click on the pic,, plz help

Answers

Answer: - 2x^2 + 4x + 3

Step-by-step explanation:

( -x^2 - 4x - 5) + ( -x^2 + 8x + 8)

Take out parentheses:

- x^2 - 4x - 5 - x^2 + 8x + 8

Write in a way so that like terms are grouped together:

- x^2 - x^2 - 4x + 8x - 5 + 8

Combine 'x^2' terms:

- 2x^2 - 4x + 8x - 5 + 8

Combine 'x' terms:

- 2x^2 + 4x - 5 + 8

Combine integers:

- 2x^2 + 4x + 3

Which equation matches the sentence?Column A Column B
1.
Three less than 9 times a number is 21.
2.
The sum of 3 times a number and 9 is 21.
3.
The difference of 9 times a number and 3 is 21.
4.
Nine less than 3 times a number is 21.
A.
3n + 9 = 21
B.
9n – 3 = 21
C.
3n – 9 = 21

Answers

Hello,

1: 9n-3=21 ==>B

2: 3n+9=21 ==>A

3: 9n-3=21 ==>B

4: 3n-9=21 ==>C

I wish to have understood all those sentences.

Which graph represents the solution to the given system y=-5x-2 y+2=-5x

Answers

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

y=-5x-2 -------> equation A

y+2=-5x -----> equation B

Isolate the variable y in the equation B

y+2=-5x------> y=-5x-2

Equation A and equation B are equal

Line A and Line B are the same

therefore

The system of equations is a consistent dependent system

The system of equations has infinitely solutions

All ordered pairs belong to the line are solutions of the system

see the graph in the attached figure

y1 = -5x - 2;
y2 = -5x - 2

y1 = y2, => infinitely many solutions

The first four terms of a sequence are 8, 12, 18, 27. Write a recursive function for this sequence.

Answers

To find each term, you have to multiply the number before it by [tex]\frac{3}{2}[\tex] so the answer would be

[tex]\frac{3}{2}(n - 1)[\tex]

A rectangle has an area of 25 square centimeters and a length of 10 centimeters.What is the width of the rectangle?



A.
7.5 centimeters


B.
35 centimeters


C.
15 centimeters


D.
2.5 centimeters

Answers

The width of the rectangle is 2.5 cm. Therefore, option D is the correct answer.

Given that, a rectangle has an area of 25 square centimeters and a length of 10 centimeters.

What is the area of a rectangle?

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Now, put length = 10 cm and area of a rectangle = 25 cm² in area of rectangle formula

That is, 25 = 10 × width

Width = 2.5 cm

The width of the rectangle is 2.5 cm. Therefore, option D is the correct answer.

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Area = length × width

25 = 10 × x
25 = 10x
25/10 = x
5/2 = x
2 1/2 = x

width is 2 1/2 or

D. 2.5 cm