Answer:
(2,-9)
Step-by-step explanation:
Set the quadratic equal to zero.

Factor

Set each of these factors to zero

and


and

Plot the midpoint of the two values.

So the middle term is 2 and the other terms are 5 and -1.
Now the vertex is

So the vertex is
(2,-9)
Answer:
Finding b:
57+b = 180 (linear pair)
b = 123
Finding c:
c = 123 (vertical angles are always congruent
Answer: The measure of the other acute angle is 52.8°
Step-by-step explanation:
Hi, since the situation described forms a right triangle ( see attachment) , we know that the three interior angles of a right triangle add up to 180 degrees.
The value of one angle is given = 37.2°.
Since is a right angle it has also a right angle of 90°.
So we can write an equation:
x + 37.2 + 90 = 180
Where x is the measure of the other acute angle.
Solving for x:
x = 180-90-37.2
x = 52.8°
Answer:
y = 1x + 54
Step-by-step explanation: