Answer:
A. 5(1 + 3x)
Step-by-step explanation:
5(1 + 3x)
(5 × 1) + (5 × 3x)
5 + (5 × 3x)
5 + 15x
A works. Let's check the rest.
1(5 + 3x)
(1 × 5) + (1 × 3x)
5 + (1 × 3x)
5 + 3x
B does not work.
3(5 + х)
(3 × 5) + (3 × x)
15 + (3 × x)
15 + 3x
C doesn't work.
5(3x)
5 × 3x
15x
B, C, and D do not work.
Answer:
Step-by-step explanation:
Given
Required
The equation for the line of reflection
Taking points A and A' as a point of reference:
and
First, calculate the midpoint (M)
Calculate the slope (m)
The midpoint of a reflection is always perpendicular to the points being reflected.
So, the slope of is:
The equation is then calculated as:
Where:
Hence, the equation of line of reflection is:
First of all, let's find the slope of line L. To find the slope of a line, you write it in the explitic form , and consider the coefficient . So, we have
So, the slope of line L is 2/3.
Two lines are parallel if they have the same slope. So, line M has slope 2/3 as well, and we know that it passes through the point (3, -10).
When you are given the slope and a point of a line, its equation is given by
So, if you plug your values, you have
which you can simplify into
Answer:
slope = - 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (- 6, 6) and (x₂, y₂ ) = (- 3, - 3)
m = = = = - 3
Answer:
3
Step-by-step explanation:
The perimeter of the rectangle is equal to the doubled sum of the sides, and the area is equal to the product of the sides. So we have the following equation