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2 years ago

Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used.

Mathematics

1 answer:

Alborosie2 years ago

3 0

Topic:

Multiplying Polynomials

Answer:

Polynomial 1:

Simplified Form: 6x^2 - x - 1

Name by Number of Terms: trinomial

Polynomial 2:

Name by Degree: linear

Name by Number of Terms: binomial

Polynomial 3:

Simplified Form: 2

Name by Degree: constant

Step-by-step explanation:

Polynomial 1:

$(x-1/2)(6x+2)$

$6x^2 - 3x + 2x - 1$

$6x^2 - x - 1$

It has 3 terms, so it's a trinomial.

Polynomial 2:

There is one term with x and x is raised to the first degree, so it's linear.

There are 2 terms, so it's a binomial.

Polynomial 3:

$4(5x^2-9x+7)+2(-10x^2+18x-13)$

$20x^2 - 36x + 28 -20x^2 + 36x - 26$

$28 - 26$

$2$

Since there are no variables and the answer is just 2, it's a constant.

Note: I took a test on this and it seemed to be all correct

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2 years ago

All the edges of a regular square pyramid have length 8. find the Volume of the pyramid, Lateral area of the pyramid and the Tot

RUDIKE [14]

Answer:

V = 120.6796

LA = 110.8513

SA = 174.8513

Step-by-step explanation:

Let me know if you need more of an explanation for any of these

First we need the height, one way to find that out is to use the diagonal of the and one of the diagonal edges of the pyramid. Specifically we will need half of the diagonal of the square. We will call the diagonal of the square d.

$8^2+8^2=d^2\\d=\sqrt{64+64} \\d=\sqrt{128}$

Gonna leave it like that for ease of writing. So then half of the diagonal is $\frac{\sqrt{128}}{2}$

The height, h, will be $(\frac{d}{2})^2+h^2 = 8^2$ . Plugging everything in gets us $h=\sqrt{32}$

last, we need to find slant height, which we will call s.

$(\frac{8}{2})^2+h^2 = s^2\\s=\sqrt{48}$

s is also the height of the triangles for purposes of finding area. Now for the volume and areas.

Volume is area of the base times height divided by 3, so $V=8^2\frac{\sqrt{32} }{3} = \frac{64\sqrt{48} }{3} = 120.6796$

Lateral area is the sum of the four areas of the triangles, and each of those are $\frac{8*h}{2}$ so the whole lateral area is 4 times that. So we get $4\frac{8\sqrt{32} }{2} =110.8513$