Help pls

wlad13 [49]

Multiply -1 (the - sign is equal to -1) to both numbers in the parenthesis.

-1 * 3x = -3x

-1 * -8 = 8

So now the equation looks like....

10x - 3x + 8

Now combine like terms.

10x - 3x = 7x

7x + 8 is the answer.

**I had a hard time reading what you wrote there because it was not really that clear. Perhaps giving me a screen shot next time would make it easier for me. Thanks!

4 0

4 years ago

24. Rectangle A is 16 feet wide and is 8 feet longer than Rectangle B which is 14 feet wide.

Galina-37 [17]

Answer:

The Area of rectangle A is 576 feet² .

Step-by-step explanation:

Given as :

The width of rectangle A = 16 feet

The Length of rectangle A = 8 feet + The length of rectangle B

The width of rectangle B = 14 feet

Let The length of rectangle B = L feet

So, The Length of rectangle A = 8 feet + L feet

The perimeter of rectangle A + The perimeter of rectangle B = 156 feet

So, 2 × ( Length A + width A ) + 2 × ( Length B + width B ) = 156 feet

Or, 2 × ( 8 + L + 16 ) + 2 × ( L + 14 ) = 156 feet

Or, 2 ×( 24 + L ) + 2 × ( L + 14 ) = 156 feet

Or, 48 + 2 L + 2 L + 28 = 156

Or, 76 L + 4 L = 156

So, 4 L = 156 - 76

Or, 4 L = 80

∴ L = $\frac{80}{4}$ = 20 feet

So , The Length of rectangle A = 8 feet + 28 feet = 36 feet

And The width of rectangle A = 16 feet

So, Area of rectangle A = Length of rectangle A × width of rectangle A

I.e Area of rectangle A = 36 × 16 = 576 feet²

Hence The Area of rectangle A is 576 feet² . Answer

4 0

3 years ago

The top surface of a world-record rectangular strawberry shortcake was 175.33 ft long and 48 inches wide. Use the formula for pe

saul85 [17]

Answer: 446.66

Explanation:
The formula for perimeter is 2 x length +2 x width
So you multiply 175.33 which gives you 350.66 and add it to 96 which gives you 446.66

4 0

4 years ago

Find the volume.<br><br> Please help thank you!

faltersainse [42]

Hi there

2.5x2 = 5

length x width x height

3 0

3 years ago

Can anyone help me do the questions that are circled with red and you don't need to do the graphing calculator thing, please

creativ13 [48]

Answer:

There are six problems circled in red.

As requested, only the analytical solutions are shown.

Question 16. Factor the polynomial

$44+15h+h^2$

Answer: (h + 4) (h + 11)

Question 17. Factor the polynomial

$40-22x+x^2$

Answer: (x - 2) (x -20)

Question 18. Factor the polynomial

$-24-10x+x^2$

Answer: (x - 12) (x + 2)

Question 19. Factor the polynomial

$-42-m+m^2$

Answer: (m - 7) (m + 6)

Question 20. Solve the equation

$x^2-7x+12=0$

Answer: x = 4 and x = 3

Question 22. Solve the equation

$x^2-6x=27$

Answer: x = 9 and x = - 3.

Explanation:

Question 16. Factor the polynomial

$44+15h+h^2$

1. Rearrange the terms:

$h^2+15h+44$

2. Open two parenthesis and place the common variable, h, as the first term of each.

$(h+a)(h+b)$

You are going to determine the values of a and b.

3. The values of a and b must satisfy that their product is 44 and their sum is 15.

a + b = 15 and a × b = 44

11 and 4 meet those conditions: 11 + 4 = 15, and 11 × 4 = 44.

So, the factored polynomial is:

$(h+4)(h+11)$

Question 17. Factor the polynomial

$40-22x+x^2$

1. Rearrange the terms:

$x^2-22x+40$

2. Write two binomials; each with first term x

(x-a)(x-b)

The negative sign for a comes from the negative sign before 22x; the negative sign of b comes from the product of the signs of -22x and + 40.

3. Find a and b such that a + b = 22 and a × b = 40

20 + 2 = 22 and 20 × 2 = 40, so the binomials are (x - 2) and (x - 20)

And the factored polynomial is:

$(x-2)(x-20)$

Question 18. Factor the polynomial

$-24-10x+x^2$

1. Rearrange the terms

$x^2-10x-24$

2. Sketch two binomials

$(x-a)(x+b)$

The negative sign for a corresponds to the negative sign for -10x, and the positive sign for b corresponds to the multplication of the signs of -10x and -4.

3. Find a and b such that their product is -24 and their aum is - 10.

Those numbers are - 12 and + 2:

- 12 + 2 = - 10
- 12 × (2) = - 24

Thus, the two factors are (x - 12) and (x +2).

And the factored polynomial is:

$(x-12)(x+2)$

Question 19. Factor the polynomial

$-42-m+m^2$

1. Rearrange the terms

$m^2-m-42$

2. Sketch the factors:

$(m-a)(m+b)$

The negative sign for a corresponds to the negative sign in front of m, the positive sign for b corresponds to the product of the signs of -m and -42.

3. Find two numbers, a and b, such that - a + b = - 1, and a × b = - 42

Those numbers are 6 and 7:

- 7 + 6 = - 1
-7 × 6 = - 42

Then, the factors are m - 7 and m + 6.

The factored polynomial is:

$(m-7)(m+6)$

Question 20. Solve the equation

$x^2-7x+12=0$

1. Factor the left side:

Find two numbers that sum -7 and their product is + 12. Those two numbers are - 4 and - 3.

$(x-4)(x-3)=0$

2. Use the zero product rule

x - 4 = 0 or x - 3 = 0

x = 4 or x = 3

Both, x = 4 and x = 3 are solutions.

Hence, the solutions are x = 4 and x = 3.

Question 22. Solve the equation

$x^2-6x=27$

1. Move 27 to the left side (using subtraction property of equalities):

$x^2-6x-27=0$

2. Factor the polynomial.

Find two numbers whose sum is - 6 and their product is - 27.

Those numbers are - 9 and + 3:

- 9 + 3 = - 6
- 9 × 3 = 27

$(x-9)(x+3)=0$

3. Zero product rule

$x-9=0\\ \\ x=9\\ \\ x+3=0\\ \\ x=-3$

The two solutions are: x = 9 and x = -3

3 0

4 years ago