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2 years ago

Question 8 of 10

Mathematics

1 answer:

SCORPION-xisa [38]2 years ago

6 0

? is there a image of this question instead

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Value of x. Hypotenuse is the square route of 20 and one leg is x-2 other leg is x

sleet_krkn [62]

Answer: $x=4$

Step-by-step explanation:

The Pythagorean Theorem is:

$a^2=b^2+c^2$

Where the hypotenuse is "a" and "b" and "c" are the legs of the triangle.

Knowing that:

$a=\sqrt{20}\\b=x-2\\c=x$

Susbstitute values into the Pythagorean Theorem and solve for x:

$(\sqrt{20})^2=(x-2)^2+x^2$

Remember that the square a binomial is:

$(a\±b)^2=a^2\±2ab+b^2$

Then:

$20=x^2-2(x)(2)+2^2+x^2\\20=x^2-4x+4+x^2\\2x^2-4x-16=0$

Use the Quadratic formula:

$x=\frac{-b\±\sqrt{b^2-4ac}}{2a}\\\\x=\frac{-(-4)\±\sqrt{(-4)^2-4(2)(-16)}}{2(2)}$

$x_1=4\\x_2=-2$

Choose the positive value.

Then:

$x=4$

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2 years ago

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Im not sure but i would go with my guts if i were you:)

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Please help me with this. I’m having trouble.

GalinKa [24]

Answer: I think it’s 55 i am sorry if it’s wrong

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wlad13 [49]

76/2=38 so half her mothers age is 38. And since Moira is 3 less than the half of her mothers age, Moira is: 38-3=35

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A line passes through the points (4,6) and (6,2)

beks73 [17]

Um i think it is yes,no,no,yes,yes,yes

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