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Ksju [112]
3 years ago
6

100 POINTS WILL MARK BRAINLIEST x^2 − 8x + 13 = 0 Which of the following is the first correct step to write the above equation i

n the form (x − p)^2 = q, where p and q are integers? Subtract 5 from both sides of the equation Add 3 to both sides of the equation Add 5 to both sides of the equation Subtract 3 from both sides of the equation
Mathematics
2 answers:
adoni [48]3 years ago
8 0

Answer:

It is Subtract 3 from both sides of the equation

Step-by-step explanation:

Fed [463]3 years ago
7 0

Answer:

We will add 3 to each side of the equation

Step-by-step explanation:

x^2 − 8x + 13 = 0

We want to complete the square

We will subtract 13 from each side of the equation

x^2 -8x +13 -13 = 0 -13

x^2 -8x = -13

Then take the coefficient of x

-8

Divide by 2

-8/2 = -4

Square it

(-4)^2 = 16

Add this to each side

x^2 -8x +16 = -13+16

( x-4) ^2 = 3

The sum of subtracting 13 and adding 16 is adding 3

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PLEASE someone help its due tonight im almost done
marusya05 [52]
<h3>Answers:</h3>
  • 48 seconds
  • 3624 feet

========================================================

Explanation:

x = number of seconds that elapse

y = altitude (aka height) of the plane

The equation for plane A is

y = 20.25x+2652

because it starts off at 2652 ft in the air, and then adds on 20.25 feet per second which is what the 20.25x describes

The equation for plane B is

y = 75.5x

The y intercept is zero because plane B starts on the ground, aka height 0.

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

The system of equations is

\begin{cases}y = 20.25x+2652\\y = 75.5x\end{cases}

If we want to know when they'll reach the same height (y), then we can set the two right hand sides equal to each other and solve for x.

75.5x = 20.25x+2652

75.5x-20.25x = 2652

55.25x = 2652

x = (2652)/(55.25)

x = 48

The two planes reach the same altitude at exactly <u>48 seconds</u>

That altitude is <u>3624 feet</u> because

  • y = 20.25*x + 2652 = 20.25*48+2652 = 3624
  • y = 75.5*x = 75.5*48 = 3624

Notice I plugged x = 48 into each equation and I got the same y value of y = 3624. This helps confirm the answers.

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