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4 years ago

What is the greatest common factor for 12&15

Mathematics

1 answer:

murzikaleks [220]4 years ago

7 0

The greatest common factor of 12 and 15 is 3 because it is the greatest number divisible by both 12 and 15.

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Vitek1552 [10]

Answer:

$y=-2x-4$

Step-by-step explanation:

<u>Perpendicular Bisector</u>

The bisector of a segment defined by points (x1,y1) and (x2,y2) must pass by the midpoint of the segment.

The midpoint (xm,ym) is calculated as follows:

$\displaystyle x_m=\frac{x_1+x_2}{2}$

$\displaystyle y_m=\frac{y_1+y_2}{2}$

The endpoints of the segment are (-3,-8) and (5,-4), thus the midpoint M is:

$\displaystyle x_m=\frac{-3+5}{2}=1$

$\displaystyle y_m=\frac{-8-4}{2}=-6$

Midpoint: M(1,-6)

Let's find the slope of the given segment. The slope can be calculated with the formula:

$\displaystyle m_1=\frac{y_2-y_1}{x_2-x_1}$

$\displaystyle m_1=\frac{-4+8}{5+3}=\frac{1}{2}$

If the bisector is also perpendicular, its slope m2 and the slope of the segment m1 must comply:

$m_1.m_2=-1$

Solving for m2:

$\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{\frac{1}{2}}=-2$

Once we have the slope -2 and the point through which our line must pass (1,-6), we compute the equation in its point-slope form:

$y-y_o=m(x-x_o)$

$y-(-6)=-2(x-1)$

Operating

$y+6=-2(x-1)$

$y+6=-2x+2$

Rearranging

$\boxed{y=-2x-4}$

8 0

3 years ago

Which of these equations represent functions where x is the input and y is the

Arisa [49]

Answer:

y=2x-A

Step-by-step explanation:

4 0

3 years ago

Calculate the slope of a line that passes through the points (6, -12) and (15, -3).

Stells [14]

Answer:

B. 1

Step-by-step explanation:

The slope is calculated by taking the difference in the y-coordinates of two points and dividing that by the difference in the x-coordinates of those two points.

Here, we have (6, -12) and (15, -3).

The difference in the y-coordinates is:

15 - 6 = 9

The difference in the x-coordinates is:

-3 - (-12) = -3 + 12 = 9

Divide 9 by 9:

9/9 = 1

The slope is thus 1, and the answer is B.

3 0

3 years ago

Read 2 more answers

How do you find a rule to write an expression

saul85 [17]

You mama can answer girl

7 0

4 years ago

Paul is spreading grass seed on an area of his lawn that is 10 feet wide and 12 feet long.

Alex17521 [72]

Answer:

8 bags, but will have some extra.

Step-by-step explanation:

The area of the lawn is 120 square feet, and 15 x 8 =124.

5 0

3 years ago