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2 years ago

What number must you add to complete the square x^2+24x=17

2 answers:

8 0

We have
x² + 24x = 17 (1)

Note that
(x + 12)² = x² + 24x + 144
By adding 144 to the left side of equation (1), it becomes a perfect square.

Therefore
x² + 24x = (x+12)² - 144 (2)

Substitute (2) into (1).
(x + 12)² - 144 = 17
(x + 12)² = 17 +144
(x + 12)² = 161

Answer:
We added 144 to the left side of equation (1) in order to make it a perfect square.

Ksenya-84 [330]2 years ago

4 0

The correct answer is 144

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Which system of equations represents the matrix shown below?

Rudik [331]

Answer:

its b.

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12n = 156

n = 13

m∠z = (144−6n)°

m∠z = (144−6×13)°

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3 years ago

If a house is 15 meters long and 12 meters wide how long is the diagonal of the house

Makovka662 [10]

Answer:

19.21m is the diagonal

Step-by-step explanation:

We are looking for the diagonal, which makes it the hypotenuse of a right triangle, with the legs being 15 and 12

We can use the Pythagorean theorem

a^2 + b^2 = c^2

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2 years ago

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vfiekz [6]

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2 years ago

Please help!!!! trigonometric ratios !!!

OLga [1]

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Solve the compound inequality 4x – 7 > 5 or 5x + 4 ≤ –6

bija089 [108]

Answer:

inequality form: x $\leq$ -2 or x > 3

interval notation form: (-∞,-2] ∪ (3,∞)

Step-by-step explanation:

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