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3 years ago

Which of the following is the solution set to the equation -4(x+1)^2 -3=- 51

Mathematics

1 answer:

ANTONII [103]3 years ago

6 0

Answer:

x is equal to 2.5 and -4.5

Step-by-step explanation:

-4(x + 1)² - 3 = -51

-4(x² + 2x + 1) - 3 = -51

-4x² - 8x -3 - 3 = -51

-4x² - 8x - 6 = -51

-4x² - 8x = -45

-4(x^2 + 2x) = -45

-4(x^2 + 2x + 1) = -49

-4(x + 1)² = -49

(x + 1)² = 49/4

x + 1 = ± √(49/4)

x + 1 = ± 7/2

x = -1 ± 3.5

x = 2.5, -4.5

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Vaselesa [24]

Answer:

40 Minutes.

Step-by-step explanation:

The current time = 4:12 p.M.

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Answer:

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Step-by-step explanation:

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3 years ago

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A parallelogram has a base of 4.5 cm and an area of 9.495 cm². Tania wrote the equation 4.5x = 9.495 to represent this situation

Artist 52 [7]

Answer:

The height of the parallelogram is 2.11 cm.

Step-by-step explanation:

Area of the parallelogram is equal to multiplication of base and height.

Given:

Parallelogram has base of 4.5 cm.

Are of the parallelogram is 9.495 cm².

Equation is 4.5x=9.495

Calculation:

(a)

Are of the parallelogram is the product of base length and height of the parallelogram.

Area of the parallelogram is expressed as follow:

A=lh

Substitute 9.495 cm² for A and 4.5 cm for l in above equation as follows:

9.495=4.5h …… (1)

Now relate the equation (1) and given equation. So, here x is nothing but the height of the parallelogram.

(b)

From equation (1), height of the parallelogram is calculated as follows:

9.495=4.5h

$h=\frac{9.495}{4.5}$

h=2.11 cm

Thus, the height of the parallelogram is 2.11 cm.

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3 years ago