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Oduvanchick [21]
2 years ago
10

Determine the vertex of y=4(x-25)2+ 91

Mathematics
1 answer:
Katen [24]2 years ago
4 0

Answer:

<h3>              (25, 91)</h3>

Step-by-step explanation:

y = a(x - h)² + k        ← vertex form of  the equation of the parabola with vertex (h, k)

So y = 4(x - 25)² + 91  means:

a = 4

x - 25 = x - h    ⇒  - 25 = - h  ⇒  h = 25

+ 91 = + k     ⇒    k = 91

Therefore vertex is:

                               <u>(25, 91)</u>

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A basketball team needs to raise $500 and there are 12 players how much money does each player need to raise
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Answer:

$41.67

Step-by-step explanation:

Money that the team needs to raise $500

Players 12

Money ÷ Players = Money per player

500÷12=41.6666666666667

So... 41.67

Or if the question gave you description, follow that!

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Answer:

494cm2

Step-by-step explanation:

Área = (base × height)/2

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Find dy/dx by implicit differentiation. y cos x = 5x2 + 3y2
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Step 1:
Start by putting \frac{d}{dx} in front of each term

\frac{d}{dx}[y cos x]= \frac{d}{dx}[5x^2]+ \frac{d}{dx}[ 3y^2]
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Step 2:

Deal with the terms in 'x' and the constant terms
\frac{d}{dx}[ycosx]= 10x+ \frac{d}{dx} [3y^2]
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Step 3:

Use the chain rule for the terms in 'y'
\frac{d}{dx}[ycosx]=10x+6y \frac{dy}{dx}
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Step 4:

Use the product rule on the term in 'x' and 'y'
(y) \frac{d}{dx} cos x+(cos x) \frac{d}{dx}y =10x+6y \frac{dy}{dx}&#10;
y(-siny)+(cosx) \frac{dy}{dx} =10x+6y \frac{dy}{dx}
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Step 5:

Rearrange to make \frac{dy}{dx} the subject
-y sin(y)+cos(x) \frac{dy}{dx} =10x+6y \frac{dy}{dx}
cos(x)  \frac{dy}{dx}-6y \frac{dy}{dx}=10x+y sin(y)
[cos(x) - 6y]  \frac{dy}{dx}=10x + y sin(y)
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5 0
3 years ago
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pogonyaev

Answer:

a - 13/30

Step-by-step explanation:

2/5 +x = 5/6

2/5 + x -2/5 = 5/6 - 2/5

x = 13/30

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Find the area of a circle whose circumference is 31.4 centimeters. (Pi form) {FREE BRAINLIEST]
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