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3 years ago

Solve the following system of equations algebraically: x2 + y2 = 20 2y = x

Mathematics

1 answer:

MaRussiya [10]3 years ago

4 0

Answer:

x = 5

Step-by-step explanation:

x2 + y2 = 20

xy = 20 ÷ 2 ÷2

= 10 ÷ 2

x = 5

i dont know whether this is right

but hope it helps n it works

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Which of the following is an extraneous solution of (45-3x)^1/2=x-9?

Iteru [2.4K]

Answer:

C. x =3

Step-by-step explanation:

Extraneous solution is that root of a transformed equation that doesn't satisfy the equation in it's original form because it was excluded from the domain of the original equation.

Let's solve the equation first

$\sqrt{45-3x} = x-9\\Taking\ square\ on\ both\ sides\\{(\sqrt{45-3x})}^2 = {(x-9)}^2\\45-3x = x^2-18x+81\\0 = x^2-18x+81-45+3x\\x^2-15x+36 = 0\\x^2-12x-3x+36 = 0\\x(x-12)-3(x-12) = 0\\(x-3)(x-12)\\x-3 = 0\\=> x =3\\x-12 = 0\\x = 12\\We\ will\ check\ the\ solutions\ one\ by\ one\\So,\\for\ x=3\\\sqrt{45-3(3)} = 3-9\\\sqrt{45-9} = -6\\\sqrt{36}= -6\\6\neq -6\\For x=12\\\sqrt{45-3(12)} = 12-9\\\sqrt{45-36} = 6\\\sqrt{36}= 6\\6=6$

Hence, we can conclude that x=3 is an extraneous solution of the equation ..

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4 years ago

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3 years ago

Which expression is equivalent to the area of square A, in square inches?

mezya [45]

Answer:

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Step-by-step explanation:

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2 years ago

6x square +11x-10 <br>Factories

vova2212 [387]

Answer:

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Step-by-step explanation:

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3 years ago

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Troyanec [42]

1 - yes 100 and 75 are both collinear both are the same line.

2 - She can conclude that there both similar because the both go the same direction and both same shape.

3 - AB would equal 150 because the other one was 100 and the other angle was 25 down. So AB would equal 150.

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4 years ago