Let the number be x
Equation:
12 + 5x = -3
Answer: The equation is 12 + 5x = -3
Solve it:
5x = -3 - 12
5x = -15
x = -15 ÷ 5
x = -3
Answer: The number is -3.
Answer:

Step-by-step explanation:
The vertex form of a parabola f(x) = ax² + bx + c:

(h, k) - vertex

We have the equation:

Finally:

Answer:
11.06 meters
Step-by-step explanation:
Given that
The height of a regulation soccer goal is 2.4 meters
And, the distance is 10.8 meters
We need to find out the hypothesis
Here we applied the pythagoreans theorem
So,
= √ (2.4m) ^2 + (10.8 m) ^2
= √5.76 m^2 + 116.64m^2
h = 11.06 m
Hence, the hypothesis is 11.05 meters