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3 years ago

Solve for x using the Quadratic Formula: x2 + 4x + 4 = 0 -b + Vb2 - 4ac x= 2a

Mathematics

1 answer:

Irina18 [472]3 years ago

8 0

Answer:

x = -2.

Step-by-step explanation:

In this case, a is 1, b is 4 and c is 4.

-4 plus or minus the square root of 4^2 - 4 * 1 * 4 divided by 2 * 1 = -4 plus or minus the square root of 16 - 16 / 2 = -4 plus or minus the square root of 0 / 2 = -4 / 2 = -2.

x = -2.

Hope this helps!

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The area of a door is 3024 square inches. If the length of the door is 48 inches longer than the width of the door, what is the

borishaifa [10]

Answer:

The width of the door is 36 inches

Step-by-step explanation:

The given parameters are;

The given area of the door = 3024 in.²

The length of the door = 48 + The width of the door

Let W represent the width of the door

Therefore, we have;

The length of the door = 48 + W

The area of the door = The length of the door × The width of the door

∴ By substitution, the area of the door = 3024 = W × (48 + W)

3024 = W × (48 + W) = 48·W + W²

48·W + W² = 3024

∴ 48·W + W² - 3024 = 0

Rearranging, we get;

W² + 48·W - 3024 = 0

By trial and error, we have;

(W + 84)×(W - 36) = 0

Therefore, given that the width of the door is a natural number, we have;

The width of the door, W = 36 inches

7 0

3 years ago

What is the lcm of 9 and 12<br><br>*lmc* lowest common multiple

Artist 52 [7]

Answer:

Step-by-step

Lcm = 36

9 times 4 = 36

12 times 3 = 36

(;

3 0

3 years ago

A Normal distribution has mean µ = 61.6. Find it’s standard deviation if 20% of the values are greater than 70. (Hint--use the z

statuscvo [17]

Answer:

The value is $\sigma = 9.976$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 61.6$

Given that 20% of the values are greater than 70, the z-score to the right of the curve corresponding to 20% (0.2) of the values is

$z-score = 0.842$

Generally this z-score is mathematically represented as

$z-score = \frac{x - \mu }{\sigma }$

Here x = 70

$0.842 = \frac{70 - 61.6 }{\sigma }$

=> $\sigma = 9.976$

4 0

3 years ago

F(x) = x-5, g(x) =x^2 - 1 find (f+g)

DaniilM [7]

F(x)=x-5
g(x)=x^2
Now adding f(x) and g(x)
x-5+x^2-1
x^2+x-6
x^2+(3-2)x-6
x^2+3x-2x-6
x(x+3)-2(x+3)
(x-2)(x+3) answer

5 0

3 years ago

Elis [28]

The size of the car engine in cubic inches is 263.6 2 cubic inches

<h3>How to determine the size of the car engine in cubic inches?</h3>

The given parameters are

Volume = 4320 cubic centimeters

By general conversion rule, we have

1 cubic centimeter = 0.0610237 cubic inches

Multiply both sides of 1 cubic centimeter = 0.0610237 cubic inches by 4320

4320 * 1 cubic centimeter = 0.0610237 cubic inches * 4320

Evaluate the product

4320 cubic centimeters = 263.6 2cubic inches

Substitute 4320 cubic centimeters = 263.6 2cubic inches in Volume = 4320 cubic centimeters

Volume = 263.6 2cubic inches

Hence, the size of the car engine in cubic inches is 263.6 2cubic inches