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ICE Princess25 [194]

2 years ago

13

The volume of sphere Q is 50% more than the volume of sphere P. The volume of sphere R is 50% more than the volume of sphere Q.

Find the volume of sphere P as a fraction of sphere R. Write your answer in the form a/b

1 answer:

STALIN [3.7K]2 years ago

6 0

<h2>Use this link to find your answer</h2><h2>http://ldh.la.gov/</h2>

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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:

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

<em>(h, k)</em><em> - vertex</em>

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 <em>a</em> using $k+\dfrac{1}{4a}$

<em>k = -5</em>

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

$\dfrac{1}{4a}=1$ <em>multiply both sides by 4</em>

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

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

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

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

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

<em>use the distributive property: a(b+c)=ab+ac</em>

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

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3 years ago

What theorem shows that GTY=GUX?

wlad13 [49]

Answer:SAS

Step-by-step explanation:

The line show congruent line which means two sides. Since it has vertical angles it has a angle.

6 0

2 years ago

What is -4.5= a - 8

murzikaleks [220]

Answer:

Step-by-step explanation: -4.5=a-8

1. add 8 to both sides -4.5+8= 3.5

2. since you added 8 to negative 8 you get zero so it just goes away

3. ANSWER= 3.5=a

7 0

2 years ago

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Give an algebraic representation of these data<br>x|y<br>1|1<br>4|7<br>7|13<br>10|19

Zolol [24]

Answer:

y = 2x - 1

Step-by-step explanation:

Slope

for every increase of 3 in x

there's an increase of 6 in y

m = rise/run

m = 6/3

m = 2

----------------------------

Slope intercept form is

y = mx + b

To find "b" plug in m = 2 and any of the given points

using (1, 1)

1 = 2(1) + b

1 = 2 + b

b = -1

The equation is

y = 2x - 1

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2 years ago

Triangle DEF is isosceles, where . Angle FDE is bisected by segment DG, creating angle GDE with a measure of 29°. What is the me

schepotkina [342]

Isosceles - two sides equal

2 angels the same

29 + 29 = 58

180 - 58 = 122

122 = DFE

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2 years ago

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