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2 years ago

Question 6(Multiple Choice Worth 1 points)

Mathematics

1 answer:

Dafna11 [192]2 years ago

3 0

Answer:

O The value of f(2) is smaller than the value of f(1).

Step-by-step explanation:

First, let's solve for both. When the problem says f(1) or f(2), this just means that the x value is equal to that. So:
f(1) = -5(1)^2 + 2(1) + 9 = 6
f(2) = -5(2)^2 + 2(2) + 9 = -7
Since f(1) = 6 and f(2) = -7, we know that f(1) is greater than f(2). Therefore, the value of f(2) is smaller than the value of f(1)

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Using the diagram on the right, find the length of GT and TA.

Art [367]

Answer:

$GT=10\ units$ and $TA=6\ units$

Step-by-step explanation:

we know that

In the diagram

Triangles GRT and GEA are similar by AA Similarity Postulate

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

$\frac{GR}{GE}=\frac{GT}{GA}$

we have

$GR=5\ units$

$GE=5+3=8\ units$

$GT=16-x\ units$

$GA=16\ units$

substitute

$\frac{5}{8}=\frac{16-x}{16}\\ \\5*16=8*(16-x)\\ \\80=128-8x\\ \\8x=128-80\\ \\x=48/8\\ \\x=6\ units$

therefore

$GT=16-x=16-6=10\ units$

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Step-by-step explanation:

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