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Artist 52 [7]
3 years ago
12

The vertex form of the equation of a parabola is x=8(y-1)^2-15. What is the standard form of the equation?

Mathematics
2 answers:
Tanzania [10]3 years ago
5 0
<h2>Answer:</h2>

The standard form of the equation  is:

                  x=8y^2-16y-7

<h2>Step-by-step explanation:</h2>

We know that the standard form of a quadratic equation is given by the expression:

x=ay^2+by+c

where a,b and c are real numbers.

and a≠0

Here we are given the  vertex form of the equation of a parabola by:

x=8(y-1)^2-15

Now, on expanding the parentheses term by using the formula:

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

Here a=y and b= 1

Hence, we have:

x=8(y^2+1-2y)-15\\\\i.e.\\\\x=8\times y^2+8\times 1-2y\times 8-15\\\\i.e.\\\\x=8y^2+8-16y-15\\\\i.e.\\\\x=8y^2-16y+8-15

( Since, in the last step we combined the constant term i.e. 8 and -15 )

Hence, we get the standard form of the equation as:

x=8y^2-16y-7

IrinaK [193]3 years ago
3 0
X = 8(y-1)^2 - 15

Standard form looks like this, x^2 -6x + 8, or y^2 - 6y + 8
To convert your equation into standard form all we have to do is expand it fully:
x = 8(y-1)^2 - 15
x = 8(y-1)(y-1) - 15
x = 8(y^2 -2y + 1) - 15
x = 8y^2 -16y + 8 - 15
x = 8y^2 -16y - 7
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Would you like to solve this problem or give you the description of it
4 0
3 years ago
Use the law of cosines to find the indicated missing side
max2010maxim [7]

Answer:

19.08

Step-by-step explanation:

c² = a² + b² - 2ab×cos(C)

a=10

b=22

C=60

cos(60) = 0.5

c² = 10² + 22² - 2×10×22×cos(60) =

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7 0
3 years ago
A game decreased in price by 1 5 . After the reduction it was priced at £48. What was the original price of the game?
vovikov84 [41]

Answer:

£63

Step-by-step explanation:

when we subtract 15 from 48 ,we get 63 which is the answer.

8 0
2 years ago
Y = 15x + 10, where y is the total cost of renting 1 bicycle on the boardwalk for x hours. Determine whether the function is pro
vova2212 [387]

Answer:

The function is non-proportional.

Step-by-step explanation:

If the function was proportional, when the number of hours spent riding the bicycle is equal to 0, the total cost of renting the bicycle would also be 0. In other words, the function would be proportional if y=0 when x=0. However, this is not the case.

y=15x+10

Plug 0 into the equation as x

y=15(0)+10\\y=10

When 1 bicycle has been rented for 0 hours, the customer still has to pay 10 dollars just for renting it. When x=0, y=10. This means that the function is non-proportional.

I hope this helps!

4 0
3 years ago
Alina has 15x + 12 yards of ribbon. She uses 6x - 3 yards for a project. How many yards does she have left?
Andrews [41]

Answer:

-1.66666666667 yards

Step-by-step explanation:

15x+12=6x-3

subtract 6x on both sides

9x+12=-3

subtract 12 on both sides

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x=-1.6666666666667

8 0
3 years ago
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