The slope is -2/1.
Rise/Run.
Down 2/ Left 1. Because it’s going down, put a negative.
Answer:
4b² - 16
Step-by-step explanation:
The formula to find the area of a parallelogram equals
, where b = base and h - height. We're given the base as 2b + 4 and the height as 2b - 4.
Therefore, the answer is 4b² - 16.
Answer: 700
Step-by-step explanation: 2800 kg / 4 trucks = 700 kg per truck
Let the number of girls be x and the number of boys be y
The number of boys is the same as the number of girls.
x = y
The number of boys is twice the number of girls when 8 girls left.
2(x - 8) = y
x = y ---------------- (1)
2(x - 8) = y -------- (2)
Sub (1) into (2)
2(y - 8) = y
2y - 16 = y
2y - y = 16
y = 16
There were 16 boys and 16 girls initially.
16 + 16 = 32
There were a total of 32 students in the class initially.
The quadratic function in vertex form is
.
Solution:
The equation of a quadratic in vertex form is
.
where (h, k) are the coordinates of the vertex and "a" is a multiplier.
Here (h, k) = (5, –2)
Substitute this in the vertex form.

– – – – (1)
Passes through the point (7, 0).
Here x = 7 and y = 0.
Substitute this in equation (1), we get


Add 2 on both sides.
2 = 4a
Divide 2 on both sides, we get

Substitute the value of a in equation (1),

The quadratic function in vertex form is
.