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victus00 [196]
2 years ago
12

What is the intermediate step in the form (x+a)^2=b(x+a)

Mathematics
1 answer:
Vladimir79 [104]2 years ago
6 0

The intermediate step of x² - 4x = 45 is (x- 2)² = 49

<h3>How to determine the intermediate step?</h3>

The equation is given as:

x² - 4x = 45

Take the coefficient of x

k = -4

Divide by 2

k/2 = -2

Square both sides

(k/2)^2 = 4

Add 4 to both sides of x² - 4x = 45

x² - 4x + 4= 45 + 4

This gives

x² - 4x + 4= 49

Express as perfect square

(x- 2)² = 49

Hence, the intermediate step of x² - 4x = 45 is (x- 2)² = 49

Read more about quadratic equations at:

brainly.com/question/4822356

#SPJ1

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The square of a positive number is 24 more than 5 times a number. What is the value of the number?
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X² = 24+5y

y=5 and x=7

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Can someone please give me the (Answers) to this? ... please ...
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Step-by-step explanation:

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Find the value of each variable
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8 0
3 years ago
Which figure is the image of Q?
Sidana [21]

The coordinates of the image of Q in the sequence of transformations is Q' (1, -4)

<h3>How to determine the image of the transformation?</h3>

The complete question is added at the end of the solution

The coordinates of the triangle are given as

Q = (-2, 1)

R = (-4, 1)

S = (-4, 4)

The sequence of transformations is given as

  • Translate the triangle 1 unit right and 5 units down.
  • Reflect the triangle in the y-axis.

The rules of the above sequence of transformations are

  • Translate the triangle 1 unit right and 5 units down: (x + 1, y - 5)
  • Reflect the triangle in the y-axis: (-x, y)

When the above transformations are combined, we have

(x, y) = (-x - 1, y - 5)

So, we have

Q' = (2 - 1, 1 - 5) = (1, -4)

R' = (4 - 1, 1 - 5) = (3, -4)

S' = (4 - 1, 4 - 5) = (3, -1)

Hence, the image of the sequence of transformations is Q' (1, -4) and R' (3, -4) and S' (3, -1)

This means that the image of Q in the sequence of transformations is Q' (1, -4)

Read more about transformation at

brainly.com/question/27224272

#SPJ1

<u>Possible question</u>

If the coordinates of a triangle are Q (-2, 1), R (-4, 1) and S (-4, 4) and the transformation includes: translate the triangle 1 unit right and 5 units down. Then reflect the triangle in the y-axis.

Which figure is the image of Q?

8 0
2 years ago
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