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3 years ago

I need to know how to find x

Mathematics

1 answer:

enyata [817]3 years ago

5 0

Answer:

x = $\frac{20}{3}$

Step-by-step explanation:

ΔABC and ΔEDC are similar triangles ( AA ), hence the ratios of corresponding sides are equal, that is

$\frac{AB}{ED}$ = $\frac{BC}{DC}$ , substitute values

$\frac{x}{4}$ = $\frac{5}{3}$ ( cross- multiply )

3x = 20 ( divide both sides by 3 )

x = $\frac{20}{3}$

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2 years ago

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Answer:

C) 22

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I have set up an equation based off of what Abraham said.

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3 years ago

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3 years ago

Which is the equation of the parabola?

Umnica [9.8K]

Answer: $y=-\dfrac{1}{8}(x - 2)^2 - 3$

<u>Step-by-step explanation:</u>

The vertex form of a parabola is: y = a(x - h)² + k where

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3 years ago

f(x) = x2. What is g(x)?SIf(x)= x/g(x)(2,1)-5O A.06)-()O B. g(x) = 2x2O C. g(x)-9(x)=(*)O D. g(x)= x2

Andrew [12]

Explanation

As you can see all the possible answers have the same form:

$g(x)=ax^2$

By looking at the picture you'll notice that the graph of g(x) has to pass through the point (2,1). Remember that the points in the graph of g(x) have the form (x,g(x)). Since (2,1) is part of the graph of g(x) then we have the following:

$\begin{gathered} (2,1)=(x,g(x)) \\ x=2 \\ g(2)=1 \end{gathered}$

So let's evaluate the expression for g(x) that we wrote before at x=2. This way we'll obtain an equation for the number a:

$\begin{gathered} g(2)=1=a\cdot2^2 \\ 1=4a \end{gathered}$

Then we can divide both sides by 4:

$\begin{gathered} \frac{1}{4}=\frac{4a}{4} \\ a=\frac{1}{4} \end{gathered}$

Then we get:

$g(x)=\frac{1}{4}x^2=(\frac{1}{2}x)^2$ Answer

Then the answer is option A.

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1 year ago