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PIT_PIT [208]
3 years ago
9

Z2-y2=x2 solve for z2 (literal equation)

Mathematics
1 answer:
expeople1 [14]3 years ago
5 0

Answer:

z² = x² + y²

Step-by-step explanation:

Given

z² - y² = x² ( isolate z² by adding y² to both sides )

z² = x² + y²

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A parabola can be drawn given a focus of
Volgvan

Answer:

y=-\frac{1}{4}(x-2)^{2}+9

Step-by-step explanation:

Any point on a given parabola is equidistant from focus and directrix.

Given:

Focus of the parabola is at (2,8).

Directrix of the parabola is y=10.

Let (x,y) be any point on the parabola. Then, from the definition of a parabola,

Distance of (x,y) from focus = Distance of (x,y) from directrix.

Therefore,

\sqrt{(x-2)^{2}+(y-8)^{2}}=|y-10|

Squaring both sides, we get

(x-2)^{2}+(y-8)^{2}=(y-10)^{2}\\(x-2)^{2}=(y-10)^{2}-(y-8)^{2}\\(x-2)^{2}=(y-10+y-8)(y-10-(y-8))...............[\because a^{2}-b^{2}=(a+b)(a-b)]\\(x-2)^{2}=(2y-18)(y-10-y+8)\\(x-2)^{2}=2(y-9)(-2)\\(x-2)^{2}=-4(y-9)\\y-9=-\frac{1}{4}(x-2)^{2}\\y=-\frac{1}{4}(x-2)^{2}+9

Hence, the equation of the parabola is y=-\frac{1}{4}(x-2)^{2}+9.

4 0
3 years ago
How many pints of blood does a person have for every 14 lbs of body weight?
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Step-by-step explanation:

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2 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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10.4

Step-by-step explanation:

√(5--5)²+(0-3)²

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2 years ago
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