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lubasha [3.4K]
2 years ago
11

Pls help! I need to show my work

Mathematics
1 answer:
Lemur [1.5K]2 years ago
7 0

Answer:

D 62.5

Step-by-step explanation:

Triangles ABE and and DCE are similar

we know this by AAA theorem

A=D and B=C by alternate interior angles theorem

e and e are congruent by vertical angles theorem since all 2 angles match corresponding angles, the are similar, which means the triangle and corresponding sides are also proportional

\frac{68}{425}=\frac{10}{x\\}\\4250=68x\\62.5=x

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What is the 4th term of the linear sequence below?<br> -9,-5, -1,3,7,...
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The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative
madam [21]

The true statement is:

"The range of the function is all real numbers less than or equal to 9."

<h3>Which statements are true?</h3>

Here we have the quadratic function:

f(x) = -x^2 - 4x + 5

And we want to see which of the given statements are true.

The first one is:

"The domain is al real numbers less than or equal to -2"

This is false, for all quadratic functions the domain is the set of all real numbers (unless the domain is defined).

The second statement is:

" The domain of the function is all real numbers less than or equal to 9."

Also false

Third one:

" The range of the function is all real numbers less than or equal to −2"

The range of a quadratic function with a negative leading coefficient will be the set of all the values smaller than the y-value of the vertex.

In this case, the quadratic function is:

f(x) = -x^2 - 4x + 5

So the vertex is at:

x = 4/(2*-1) = -2\\

Then the y-value of the vertex is:

f(-2) = -(-2)^2 - 4*(-2) + 5 = -4 + 8 + 5 = 9

So the range is the set of all real numbers less than or equal to 9.

So the above statement is false, and the final one:

"The range of the function is all real numbers less than or equal to 9."

Is the true statement.

If you want to learn more about quadratic functions:

brainly.com/question/1214333

#SPJ1

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