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3 years ago

Select the two binomials that are factors of this trinomial x2+10x+16

1 answer:

5 0

So for this trinomial, I will be factoring by grouping. Firstly, what two terms have a product of 16x^2 and a sum of 10x? That would be 8x and 2x. Replace 10x with 2x + 8x:

$x^2+2x+8x+16$

Next, factor x^2 + 2x and 8x + 16 separately. Make sure that they have the same quantity inside the parentheses: $x(x+2)+8(x+2)$

<u>Now you can rewrite this as $(x+8)(x+2)$ , which is your final answer.</u>

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The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Use 3.14 for pi. Round to

Andru [333]

The area of a full circle is given by
A = π*r^2
so the area of a 1/4 circle will be 1/4 of that:
A = (π/4)*r^2

The area of a parallelogram is the product of base length and height:
A = bh

Your composite figure will have an area that is the sum of the areas of the parts.
A = (quarter circle area) + (parallelogram area)
A ≈ (3.14/4)*(14 in)^2 +(14 in)*(5 in)
A ≈ 223.86 in^2 ≈ 224 in^2

The most appropriate selection is the last one,
224 in^2

7 0

3 years ago

Read 2 more answers

Gracie’s pool is circular with a diameter of 30 feet and height of 6 feet. How much water can the pool hold?

adoni [48]

Answer and expl $^{}$ anation is in a file. Li $^{}$ nk below. Good luck!

bit. $^{}$ ly/3a8Nt8n

3 0

3 years ago

Which table shows no correlation?

Veseljchak [2.6K]

Instead of adding 6 three times, you can multiply 6 by 3 and get 18, the same answer.

Similarly,

6 + 6 + 6 + 6 + 6 + 6 + 6 = 6 × 7 = 42

3 0

2 years ago

11) x – 3y = 3<br> How do you graph it?

kvv77 [185]

Hey!

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x – 3y = 3 is written in standard form. We can write in the slope-intercept form.

x - 3y = 3

x - 3y - x = 3 - x

3y = 3 - x

3y/3 = 3/3 - 3/x

y = 1 - 3/x

y = 1/3x - 1

Now, we know that the y-intercept is -1 and the slope is 1/3

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Hence, the answer is $\Large\boxed{\mathsf{In~picture}}$

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Hope This Helped! Good Luck!

8 0

3 years ago

Explain the relationship between the number of painters and sculptors enrolled in the art schools?

nasty-shy [4]

The relationship between the number of painters and sculptors enrolled in the art school can be considered a direct variation.

<h3>Direct variation</h3>

A direct variation as implied above means, the linear relationship between the number of painters and sculptors enrolled in the art school are directly proportional.

In essence, as the number of sculptors in the art schools increase, the number of painters increases too. This is because, more painters are needed to paint increasing work volume of the sculptors.