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2 years ago

11

Factor the expression by taking out the greatest common factor. 9x^2y - 6xy^2

1 answer:

Tcecarenko [31]2 years ago

3 0

The greatest common factor of the two terms is 3 x y .

When factored, the expression is

3 x y (3x - 2y)

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The height of a wooden pole, h, is equal to 20 feet. A taut wire is stretched from a point on the ground to the top of the pole.

kykrilka [37]

ANSWER

D. 25 feet

EXPLANATION

The height of the wall,h, the taut wire and the distance from the base of the pole to the point on the ground, formed a right triangle.

According to the Pythagoras Theorem, the sum of the length of the squares of the two shorter legs equals the square of the hypotenuse.

Let the hypotenuse ( the length of the ) taught wire be,l.

Then

${l}^{2} = {h}^{2} + {b}^{2}$

${l}^{2} = {20}^{2} + {15}^{2}$

${l}^{2} = 400 + 225$

${l}^{2} = 625$

$l= \sqrt{625} = 25ft$

8 0

2 years ago

Which equation represents a line that passes through (2,-1/2) and has a slope of 3 ?

Anna11 [10]

Answer:

C. $y + \frac{1}{2} = 3(x - 2)$

Step-by-step explanation:

Given

$Point: (2,\frac{-1}{2})$

$Slope: 3$

Required

Equation of line

Let m represents the slope of the line;

m is calculated as thus

$m = \frac{y - y_1}{x - x_1}$

$where (x_1,y_1) = (2,\frac{-1}{2})$

$So; x_1 = 2; y_1 = \frac{-1}{2}$

$m = 3$

By substituting the right values in the formula above;

$m = \frac{y - y_1}{x - x_1}$ becomes

$3 = \frac{y - \frac{-1}{2}}{x - 2}$

Multiply both sides by $(x - 2)$

$3 *(x - 2) = \frac{y - \frac{-1}{2}}{x - 2} *(x - 2)$

$3 *(x - 2) = (y - \frac{-1}{2})$

$3 *(x - 2) = (y + \frac{1}{2})$

$3(x - 2) = (y + \frac{1}{2})$

$3(x - 2) = y + \frac{1}{2}$

Reorder

$y + \frac{1}{2} = 3(x - 2)$

Hence, the equation that represents the line is $y + \frac{1}{2} = 3(x - 2)$

4 0

3 years ago

3.629 rounded to the nearest tenth?

Nastasia [14]

Answer: Hello, 6

Therefore, the tenths value of 3.629 remains 6. The following table contains starting numbers close to 3.629 rounded to the nearest 10th.

...

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Goryan [66]

Given:

(2, 4) and (3, 3) are on the line.

To find:

The equation of line in point slope form.

Solution:

If a line passes through a point $(x_1,y_1)$ with slope m, then the point slope form of the line is

$y-y_1=m(x-x_1)$

(2, 4) and (3, 3) are on the line. So, slope of the line is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{3-4}{3-2}$

$m=\dfrac{-1}{1}$

$m=-1$

The slope of a line is -1 and it passes through (2,4). So, an equation in point slope form is

$y-4=-1(x-2)$

Therefore, an equation of the line in point slope form is $y-4=-1(x-2)$ .

8 0

2 years ago

S=2(3.14)zx+4(3.14)z^2

kirill115 [55]

Answer:

what do you want to solve for?

Step-by-step explanation:

3 0

2 years ago