Answer:
y = 2
Step-by-step explanation:
Calculate the slope m and equate to -
m =
with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (8, y)
m = , that is
m = = -
Multiply both sides by 10 to clear the fractions
y - 4 = - 2 ( add 4 to both sides )
y = 2
Answer: The player need to make 2 consecutive free throws to raise the average to 75%.
Step-by-step explanation:
Let the number of extra consecutive free throws to raise the average to 75% be 'x'.
Number of free throws already taken = 32
Number of attempts = 45
According to question, it becomes,
Hence, the player need to make 2 consecutive free throws to raise the average to 75%.
Answer:
The area of the triangle is 18 square units.
Step-by-step explanation:
First, we determine the lengths of segments AB, BC and AC by Pythagorean Theorem:
AB
BC
AC
Now we determine the area of the triangle by Heron's formula:
(1)
(2)
Where:
- Area of the triangle.
- Semiparameter.
If we know that ,
and
, then the area of the triangle is:
The area of the triangle is 18 square units.