3 years ago

-8x+114=11x+10-11x what's the answer

Mathematics

1 answer:

gtnhenbr [62]3 years ago

4 0

The answer is x=13

I hope this helps!
Ask me for the work!

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There are 14 red marbles

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4 years ago

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What is the focus of the parabola? y=−1/4x2−x+3

alex41 [277]

Answer: Focus = (-2, 3)

<u>Step-by-step explanation:</u>

$y=-\dfrac{1}{4}x^2-x+3\\\\\rightarrow a=-\dfrac{1}{4},\ b=-1$

First let's find the vertex. We do that by finding the Axis-Of-Symmetry:

$AOS: x=\dfrac{-b}{2a}\quad =\dfrac{-(-1)}{2(\frac{-1}{4})}=\dfrac{1}{-\frac{1}{2}}=-2$

Then finding the maximum by inputting x = -2 into the given equation:

$y=-\dfrac{1}{4}(-2)^2-(-2)+3\\\\y=-1+2+3\\\\y=4$

The vertex is: (-2, 4)

Now let's find p, which is the distance from the vertex to the focus:

$a=\dfrac{1}{4p}\\\\\\-\dfrac{1}{4}=\dfrac{1}{4p}\\\\\\p=-1$

The vertex is (-2, 4) and p = -1

The focus is (-2, 4 + p) = (-2, 4 - 1) = (-2, 3)

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3 years ago

In the diagram, triangle GEF and triangle HEF are congruent. What is the value of x?

Harrizon [31]

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3 years ago

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Guys please help me with this question, I’d appreciate it a lot

laiz [17]

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3 years ago

A car travels 143km in 2hours 45minutes .Find its speed in km / hour

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Step-by-step explanation:

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2 hours 45 minutes = 2.75 hours

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The car’s speed is 52 kilometers per hour.

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