2 years ago

Pls help I’ll give brainliest

Mathematics

1 answer:

Alekssandra [29.7K]2 years ago

3 0

yesssss ?how can i help

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PLs help 50 PTS!!!!! PLEASE ILL GIVE BRAINLIEST!!!!!

Nookie1986 [14]

Answer:

$\large\boxed{y=\dfrac{1}{4}x^2-x-4}$

Step-by-step explanation:

The equation of a parabola in vertex form:

$y=a(x-h)^2+k$

(h, k) - vertex

The focus is

$\left(h,\ k+\dfrac{1}{4a}\right)$

We have the vertex (2, -5) and the focus (2, -4).

Calculate the value of a using $k+\dfrac{1}{4a}$

k = -5

$-5+\dfrac{1}{4a}=-4$ add 5 to both sides

$\dfrac{1}{4a}=1$ multiply both sides by 4

$4\!\!\!\!\diagup^1\cdot\dfrac{1}{4\!\!\!\!\diagup_1a}=4$

$\dfrac{1}{a}=4\to a=\dfrac{1}{4}$

Substitute

$a=\dfrac{1}{4},\ h=2,\ k=-5$

to the vertex form of an equation of a parabola:

$y=\dfrac{1}{4}(x-2)^2-5$

The standard form:

$y=ax^2+bx+c$

Convert using

$(a-b)^2=a^2-2ab+b^2$

$y=\dfrac{1}{4}(x^2-2(x)(2)+2^2)-5\\\\y=\dfrac{1}{4}(x^2-4x+4)-5$

use the distributive property: a(b+c)=ab+ac

$y=\left(\dfrac{1}{4}\right)(x^2)+\left(\dfrac{1}{4}\right)(-4x)+\left(\dfrac{1}{4}\right)(4)-5\\\\y=\dfrac{1}{4}x^2-x+1-5\\\\y=\dfrac{1}{4}x^2-x-4$

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3 years ago

What is 30% of $100?

lord [1]

Answer:

solution. :

30/100*$100

$30

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A radio station sells buttons and bumper stickers at a local fair. The buttons cost $2.95 each, and the bumper stickers cost $3.

MA_775_DIABLO [31]

you question isn't quite clear.....

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2 years ago

What could be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each

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Answer:

C. PR and SQ have the same midpoing

Step-by-step explanation:

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2 years ago

A building has a shadow that is 18 feet long. Will is 5 feet tall and he is standing next to the building. Will has a shadow tha

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5*18=90
3*x=90
X=90/3
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2 years ago

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