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natima [27]
3 years ago
7

Please someone help me!!

Mathematics
1 answer:
podryga [215]3 years ago
8 0

Answer:

x = 6\sqrt{5}

Step-by-step explanation:

Here we need to use the Pythagorean Theorem

Pythagorean Theorem: a^2 + b^2 = c^2

STEP 1: Define your variables

The legs of the triangle are <em>a </em>and <em>b, </em>and the hypotenuse is <em>c</em>.

a = x

b = 4

c = 14

STEP 2: Plug your variables into the equation and solve

x^2 + 4^2 = 14^2

x^2 + 16 = 196

x^2 + 16 - 16 = 196 - 16

x^2 = 180

\sqrt{x^2} = \sqrt{180}

STEP 3: Simplify

Since the question asks you to put the equation in simplified radical form, you do not have to approximate the answer, but you do have to simplify the radical.

\sqrt{x^2} = \sqrt{180}

x = \sqrt{36} * \sqrt{5}

x = 6\sqrt{5}

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Answer with Step-by-step explanation:

We are given that

f(x,y)=4x^2+6y^2

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