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2 years ago

11

Jake rewrites the expression 81x2 – 1 as a difference of squares so he can factor it. Which answer choice shows how Jake could r

ewrite the expression?

1 answer:

patriot [66]2 years ago

3 0

Letter B
Different of 2 squares
(9x-1)(9x+1)

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Twenty-seven minus 3/2 of a number (x) is not more than 36. What is the number?

saw5 [17]

Answer:

<h2>-6</h2>

Step-by-step explanation:

$27 - 1.5x \leq 36\\ 54 - 3x \leq 72\\54 - 72 \leq 3x\\-18 \leq 3x\\-6 \leq x\\x\geq -6$

Hope this helps

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2 years ago

What is 7/8 divided by 2/8

allsm [11]

Answer:

3.5

Step-by-step explanation:

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2 years ago

Read 2 more answers

Find the exact volume of a cone 6yd height 5yd base

Verdich [7]

Answer:

The exact volume of a cone is 10 yd³.

Step-by-step explanation:

Given:

Height of cone (h) is 6 yd and base (b) is 5 yd.

Now, to get the volume we need to find the radius.

So, to find radius we put the formula of base:

Let the radius be $r$

Base= $\pi r^2$

$b=\pi\times r^{2}$

$5=\pi\times r^{2}$

Dividing both sides by π and using square root on both the sides:

$5\div \pi=(\pi \times r^{2}) \div \pi$

$\frac{5}{\pi}=r^{2}$

$\frac{5}{\pi}=r^{2}$

$r^{2}=\frac{5}{\pi}-----1$

Now, putting the formula for getting the volume (v) of cone:

Volume = $\pi r^2\frac{h}{3}$

$v=\pi\times r^{2}\times \frac{6}{3}$

$v=\pi\times r^{2}\times 2$

Substituting the value of $r^2$ from equation (1), we get:

$v=\pi\times \frac{5}{\pi}\times 2$

$v=10$ yd³

Volume of cone is 10 yd³

Therefore, the exact volume of a cone is 10 yd³.

8 0

2 years ago

Simplify (2x – 2y)(2y + 8) = ?

Dafna1 [17]

$4xy - {4y}^{2} + 16x - 16y$
distribute the values you receive this. no further simplification can be done

8 0

2 years ago

The length of a rectangle is 4yd longer than its width. If the perimeter of the rectangle is 36yd, find its area

kicyunya [14]

Answer:

$\boxed{\sf Area \ of \ the \ rectangle = 91 \ yd^{2}}$

Given:

Length of the rectangle = 4 yd longer than its width

Perimeter of the rectangle = 36 yd

To Find:

Area of the rectangle

Step-by-step explanation:

Let the width of the rectangle be 'w' yd

So,

Length of the rectangle = (w + 4) yd

$\therefore \\ \sf \implies Perimeter \: of \: the \: rectangle = 2(Length + Width) \\ \\ \sf \implies 36 = 2((4 + w) + w) \\ \\ \sf \implies 36 = 2(4 + w + w) \\ \\ \sf \implies 36 = 2(4 + 2w) \\ \\ \sf 36 =2(2w+4) \: is \: equivalent \: to \: 2(2w + 4) = 36: \\ \sf \implies 2(2w + 4) = 36 \\ \\ \sf Divide \: both \: sides \: of \: 2 (2w + 4) = 36 \: by \: 2: \\ \sf \implies 2w + 4 = 18 \\ \\ \sf Subtract \: 4 \: from \: both \: sides: \\ \sf \implies 2w = 14 \\ \\ \sf Divide \: both \: sides \: of \: 2w = 14 \: by \: 2: \\ \sf \implies w = 7$

So,

Width of the rectangle = 7 yd

Length of the rectangle = (7 + 4) yd

= 13 yd

$\therefore \\ \sf Area \ of \ the \ rectangle = Length \times Width \\ \\ \sf = 7 \times 13 \\ \\ \sf = 91 \: {yd}^{2}$

3 0

2 years ago