To solve this problem, you can split the shape into a triangle and a parallelogram.
You can do this by imagining/drawing a line from point A to point C>
Now you can work out the area of triangle ACB
1/2 x b x h
1/2 x 5 x 3
= 7.5
Now work out the area of the parallelogram ACDE
b x h
5 x 3 = 15
Add the areas together and then you have the answer
7.5 + 15 = 22.5
(-3, 3) because it is the intersection point.
Answer:
The equation of the line is y - 3 = -2(x + 4)
Step-by-step explanation:
* Lets explain how to solve the problem
- The slope of the line which passes through the points (x1 , y1) and
(x2 , y2) is 
- The product of the slopes of the perpendicular lines = -1
- That means if the slope of a line is m then the slope of the
perpendicular line to this line is -1/m
- The point-slope of the equation is 
* lets solve the problem
∵ A given line passes through points (-4 , -3) and (4 , 1)
∴ x1 = -4 , x2 = 4 and y1 = -3 , y2 = 1
∴ The slope of the line 
- The slope of the line perpendicular to this line is -1/m
∵ m = 1/2
∴ The slope of the perpendicular line is -2
- Lets find the equation of the line whose slope is -2 and passes
through point (-4 , 3)
∵ x1 = -4 , y1 = 3
∵ m = -2
∵ y - y1 = m(x - x1)
∴ y - 3 = -2(x - (-4))
∴ y - 3 = -2(x + 4)
* The equation of the line is y - 3 = -2(x + 4)
Answer:
4 and -4
Step-by-step explanation:
> means greater than
x² > 10
4² > 10 → True, 16 is greater than 10
-4² > 10 → True, 16 is greater than 10