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3 years ago

Use the perfect square method (3x + 3)^2 = 36

Mathematics

1 answer:

kkurt [141]3 years ago

8 0

Factor out the common term; 3

(3(x + 1))^2 = 36

Use the Multiplication Distributive Property; (xy)^a = x^ay^a

3^2(x + 1)^2 = 36

Simplify 3^2 to 9

9(x + 1)^2 = 36

Divide both sides by 9

(x + 1)^2 = 36/9

Simplify 36/9 to 4

(x + 1)^2 = 4

Take the square root of both sides

x + 1 = √4

Since 2 * 2 = 4, the square root of 2 is 2

x + 1 = 2

Break down the problem into these 2 equations

x + 1 = 2

x + 1 = -2

Solve the first equation; x + 1 = 2

x = 1

Solve the second equation; x + 1 = -2

x = -3

Collect all solutions;

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The answer is 40% I believe because if you add 18+12 you get 30 and 12/30 when converted is 40%

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4 years ago

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What is the midpoint of AB?

Citrus2011 [14]

Answer:

$(-4, -\frac{1}{2})$

Step-by-step explanation:

Hi there!

We are given the line segment, with the end points AB

The coordinates of A are (-5, -4), and the coordinates of B are (-3, 3).

We want to find the midpoint of the line segment AB

The midpoint formula is given as $(\frac{x_1+ x_2}{2}, \frac{y_1 + y_2}{2})$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are coordinates

We have two coordinates, which is what we need, but let's label their values to avoid any confusion:

$x_1=-5\\y_1=-4\\x_2=-3\\y_2=3$

Now substitute those values into the formula:

$(\frac{x_1+ x_2}{2}, \frac{y_1 + y_2}{2})$

$(\frac{-5+ -3}{2}, \frac{-4+ 3}{2})$

Now simplify the numerator and denominator

$(\frac{-8}{2}, \frac{-1}{2})$

Simplify again:

The midpoint is (-4, $-\frac{1}{2}$ )

Hope this helps!

7 0

3 years ago

The height of players on a football team is normally distributed with a mean of 74 inches, and a standard deviation of 1 inch. I

Andreas93 [3]

Answer:

Step-by-step explanation:

Let x be the random variable representing the height of players on the football team. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = standard deviation

n = number of samples

From the information given,

µ = 74 inches

σ = 1 inch

n = 50

x = 74 inches

the probability that a player is less than 74 inches tall is expressed as

P(x < 74)

For x = 74,

z = (74 - 74)/(1/√50) = 0

Looking at the normal distribution table, the probability corresponding to the z score is 0.5

Therefore,

P(x < 74)

The players less than 74 inches is

0.5 × 50 = 25 players

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3 years ago

Help me<br> !!!!!!!!!!!!!

iren [92.7K]

Answer:

its 1

Step-by-step explanation:

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3 years ago

Write an equation in slope-intercept form that is parallel to the line 3x + 2y = 1 and passes through the point (1, 0). A)

Lunna [17]

Answer:

D) y = − 3/2 x + 3 /2

Step-by-step explanation:

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We need to get this in slope intercept form (solve for y)

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Distribute

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4 years ago

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