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astra-53 [7]
3 years ago
9

This system has one solution.

Mathematics
1 answer:
mel-nik [20]3 years ago
4 0

Answer:

<h2>y = 2</h2>

Step-by-step explanation:

y=8x-14\qquad(1)\\y=x^2+4x-10\qquad(2)\\\\\text{compare equations}\\\\x^2+4x-10=8x-14\qquad\text{subtract 8x from both sides}\\\\x^2-4x-10=-14\qquad\text{add 14 to both sides}\\\\x^2-4x+4=0\\\\x^2-2x-2x+4=0\\\\x(x-2)-2(x-2)=0\\\\(x-2)(x-2)=0\\\\(x-2)^2=0\iff x-2=0\qquad\text{add 2 to both sides}\\\\x=2\\\\\text{Put the value of x to (1)}:\\\\y=8(2)-14=16-14=2

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We have the next information

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y= the second side measure

y=x+100

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P=x+y+z2900=x+x+100+x+700

we sum like terms

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then we isolate the x

3x=2900-8003x=2100x=\frac{2100}{3}=700

therefore

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z=700+700=1400ft

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1 year ago
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3 years ago
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Step-by-step explanation:

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