Answer:
y = (-6/13)x + (4/13).,
Step-by-step explanation:
the equation of the line is:
y = mx + b, where "m" is the slope and "b" gives the y-intercept
m = (y2 - y1)/(x2 - x1)
m = (-2 - 4)/(5 - (-8))
m = -6/13
y = (-6/13)x + b
the line passes through the point (-8,4) means that for x = -8, y = 4
4 = (-6/13)(-8) + b
b = 4 - (-6/13)(-8)
b = 4/13
the equation of the line that passes through the points (-8,4) and (5,-2) is:
y = (-6/13)x + (4/13).
Answer:
The answer is the option D

Step-by-step explanation:
we have

Multiply by
both sides

Rewrite

Answer: Option b.
Step-by-step explanation:
First, you need to calculate the ratio of the area. This is:

You know that the area of the smaller trapezoid is 771 m², then you can set up the following proportion, where "x" is the area of the larger trapezoid. Then you have:

Now you must solve for "x". Therefore, you get that the area of the larger trapezoid is:

Answer:
y = x² - 2x - 3
Step-by-step explanation:
y + 4 = C(x - 1)²
To determine C, use x = 4, y = 5
5 + 4 = C(4 - 1)²
9 = 9C, C = 1
y + 4 = (x - 1)² = x² - 2x + 1
y = x² - 2x - 3