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pshichka [43]
2 years ago
12

What number would you add to both sides of x² + 7x = 4 to complete the square?

Mathematics
1 answer:
Lyrx [107]2 years ago
6 0

The number would you add to both sides of x² + 7x = 4 to complete the square option C 7²/2.

<h3>What is completing the squares method for solving the quadratic method?</h3>

Suppose the considered quadratic equation is of the form

ax^2 + bx + c = 0

Then, completing the squares method tries to make a squared term in terms of x in the left side, so that x comes in linear form, instead of quadratic.

The given quadratic equation is

x² + 7x = 4

add  7²/2 to both sides of x² + 7x = 4 to complete the square

7²/2 = 49/4

x² + 7x + 49/4 = 4+ 49/4

(x + 7/2)² = 4+ 49/4

Thus, option C 7²/2 is correct.

Learn more about completing the square;

brainly.com/question/10905485

#SPJ1

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If h(x) = 5x - 3 and j(x) = -2x, solve hlj(2)] and select the correct answer below. (1 point)
BARSIC [14]

Answer:

-23

Step-by-step explanation:

We are given the functions;

h(x) = 5x - 3 and j(x) = -2x

Now, we want to find h[j(2)]

j(2) = -2(2)

j(2) = -4

Thus;

h(-4) = 5(-4) - 3

h(-4) = -20 - 3

h(-4) = - 23

4 0
3 years ago
Which could a translation result in? Select all that apply. a figure getting smaller a figure moving up a figure flipping upside
makkiz [27]

Answer:

A figure moving up, a figure moving left, and a figure moving down.

Step-by-step explanation:

Translations are just moving things around in any direction.

8 0
3 years ago
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Calculate the size of θ in the given diagram ( see image).<br>O is the center of the circle.​
mariarad [96]

Answer:

∅ = 42°

Step-by-step explanation:

90 - 48 = 42° because 48 and 42 are complimentary angles (add up to 90°)

because the radii lines form an isosceles triangle, ∠∅ also = 42°

3 0
3 years ago
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Write an equation for the following situation. DO NOT SOLVE IT. (5 pts)
Phantasy [73]

Answer:

425 = 8.5x + 55

Step-by-step explanation:

His goal is $425, so that's what we want to equal. He saves $8.50 per week, so that's our variable and coefficient - x represents the number of weeks. Finally, he already has $55, so you add it to whatever he earns per week.

4 0
3 years ago
A water tank holds 666 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 888 gallons but is leak
Katen [24]

Answer:

74 weeks

Step-by-step explanation:

Given :

Let x = number of weeks

Gallon A:

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Gallon B:

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8 0
3 years ago
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