k = 4pq^2 //Divide both sides by 4p
k/4p = q^2 //Square root on both sides
+- √(k / 4p) = q
q = √k / 2√p and - √k / 2√p
Answer:
12
Step-by-step explanation:
Slope=y2-y1/x2-x1
Slope=9-(-3)/-1-(-2)
Slope=12/1
Slope=12
Answer:
5 km
Step-by-step explanation:
It helps to draw a diagram.
The triangle between Stamford, Newport, and Amanda's house is a right triangle with one leg of length 12 and hypotenuse 13. The Pythagorean theorem can be used to find the remaining leg:
13² = 12² + (distance to Newport)²
169 -144 = (distance to Newport)²
√25 = 5 = distance to Newport
Newport is 5 km from Amanda's house.
_____
It can be useful to remember this right triangle. 5-12-13 right triangles show up in a number of algebra and geometry problems.
Answer: 84
Step-by-step explanation:
When substituting this question into an algebraic equation you can write it as:
21=.25x
(x clearly represents the number you are trying to find)
When you divide both sides by .25 to isolate x you get x=84
Yes, it is a function, because no x value is repeated.