Answer:
y + 7 = 45(x + 2).
Step-by-step explanation:
y - y1 = m(x - x1)
Here m = 45 and (x1, y1) = (-2, -7) so we have:
y - (-7) = 45(x - (-2))
y + 7 = 45(x + 2).
Answer:
t = 4 s
Step-by-step explanation
We can infer the origin from the t⁰ term of the quadratic as being 192 feet above the ground. Initial velocity is 16 ft/s from the t¹ term, gravity is -32 ft/s² from the t² term
0 = -16t² + 16t + 192
0 = -t² + t + 12
0 = t² - t - 12
0 = (t - 4)(t + 3)
so either
t - 4 = 0
t = 4 s
or
t + 3 = 0
t = -3 s which we ignore as it occurs before the ball is released.
Answer:
The least common denominator of the two rational expressions is 
.
Step-by-step explanation:
Let be the following rational expressions:
Then, we factor each denominator:
Now, we compare each denominator to find all missing binomials so that each expression may have a common denominator:
Hence, we conclude that least common denominator of the two rational expressions is .
Answer:
20 cm^2
Step-by-step explanation:
Sectioned it off and multiplied the length by the width
Answer:
The answer to your question is:
(x - 5)² + (y + 4)² = 10² or (x - 5)² + (y + 4)² = 100
Step-by-step explanation:
Data
Center (5, - 4)
Point ( -3 , 2)
Formula
d = √ ((x2- x1)² + (y2 - y1)²)
(x - h)² + (y - k)² = r²
Process
Radius
d = √ ((-3 - 5)² + (2 + 4)²)
d = √ ((-8)² + (6)²)
d = √ 64 + 36
d = √100
d = 10 units
Circle
(x - 5)² + (y + 4)² = 10²
(x - 5)² + (y + 4)² = 100
