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4 years ago

15

X²-3x=0 Solve by factoring I know that x=0,3, but how do you get that from x(x-3)=0?

2 answers:

saw5 [17]4 years ago

5 0

By equating each factor by 0
x*(x-3)=0
so, x=0 & x-3=0
x=0 & x=3

jarptica [38.1K]4 years ago

5 0

You have to solve the equation by essentially taking out the parentheses. So you will take x, which is outside the parentheses and multiply it by each factor inside of them.

So you will multiply x with x (first term in brackets) and multiply x with 3, second term in the bracket. You will then add these two terms together.

x^2 - 3x

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What area of the grass is being watered by this sprinkler

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➷ Use this formula:

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3 years ago

Triangles Q R S and X Y Z are shown. Angles Q S R and X Z Y are right angles. Angles Q R S and X Y Z are congruent. The length o

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Answer:

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Step-by-step explanation:

see the attached figure to better understand the problem

we know that

∠QSR≅∠XZY ---> given problem

∠QRS≅∠XYZ ---> given problem

so

△QRS ~ △XYZ ----> by AA Similarity theorem

Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

That means

$\frac{QS}{XZ}=\frac{QR}{XY}=\frac{RS}{YZ}$

∠Q≅∠X

∠R≅∠Y

∠S≅∠Z

<em>In the right triangle XYZ</em>

Find the tangent of angle X

$tan(X)=\frac{YZ}{XZ}$ ---> opposite side angle X divided by adjacent side angle X

substitute the given values

$tan(X)=\frac{9}{12}$

Simplify

$tan(X)=\frac{3}{4}$

Remember that

∠Q≅∠X

so

$tan(Q)=tan(X)$

therefore

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bazaltina [42]

Answer:

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Step-by-step explanation:

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