Answer:
y = sqrt(29)/2 - 1/2 or y = -1/2 - sqrt(29)/2
Step-by-step explanation:
Solve for y:
y^2 + y - 7 = 0
Add 7 to both sides:
y^2 + y = 7
Add 1/4 to both sides:
y^2 + y + 1/4 = 29/4
Write the left hand side as a square:
(y + 1/2)^2 = 29/4
Take the square root of both sides:
y + 1/2 = sqrt(29)/2 or y + 1/2 = -sqrt(29)/2
Subtract 1/2 from both sides:
y = sqrt(29)/2 - 1/2 or y + 1/2 = -sqrt(29)/2
Subtract 1/2 from both sides:
Answer: y = sqrt(29)/2 - 1/2 or y = -1/2 - sqrt(29)/2
Answer:
12 minutes
Step-by-step explanation:
4 minutes= 7 kilometers
=> 4*3 minutes= 7*3 kilometers
=12minutes=21km
Answer:
41000 meters
Step-by-step explanation:
multiply the length value by 1000
Answer:
20 m/s
Step-by-step explanation:
Distance = rate * time
400 m = rate * 20 seconds
Divide each side by 20 seconds
400m/ 20 seconds = rate
20 m/second = rate
The Vertex of the parabola is V=(-5,-2)=(h,k)→h=-5, k=-2
This is a vertical parabola, then its equation has the form:
y=a(x-h)^2+k
Relacing h=-5 and k=-2
y=a(x-(-5))^2+(-2)
y=a(x+5)^2-2
When the x-value is -4, the y-value is 2. What is the coefficient of the squared expression in the parabola's equation:
a=?
x=-4, y=2→2=a(-4+5)^2-2
2=a(1)^2-2
2=a(1)-2
2=a-2
2+2=a-2+2
4=a
a=4
Answer: The coefficient of the squared expression in the parabola's equation is 4
Answer: Option B. 4
