Answer:
44
Step-by-step explanation:
Answer:
Part A)
The equation in the point-slope form is:

Part B)
The graph of the equation is attached below.
Step-by-step explanation:
Part A)
Given
The point-slope form of the line equation is

Here, m is the slope and (x₁, y₁) is the point
substituting the values m = 4/3 and the point (-2, 11) in the point-slope form of the line equation


Thus, the equation in the point-slope form is:

Part B)
As we have determined the point-slope form which passes through the point (-2, 11) and has a slope m = 4/3
The graph of the equation is attached below.
Answer:
42
Step-by-step explanation:
Let the number be "x"
We translate the word equation to algebraic equation.
First,
subtract 6 from me, so we have:
x - 6
Now,
Multiply by 2, so we have:
2(x-6)
Now,
Subtract 40, then divide by 4:

Now, you get "8", so equate this to 8, we get:

We now solve using algebra:

The number is 42
under a rotation about the origin of 180°
a point (x, y ) → (- x, - y )
hence D is correct, both the x and y coordinates of the points on ΔA'B'C' have opposite signs from the corresponding points on ΔABC
The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the ordered pair for the center.
(x - (- 3))² + (y - 6)² = 10²
(x + 3)² + (y - 6) = 100