F(x) = x² + 4x - 12
x = -b/2a
x = -(4)/2(1)
x = -4/2
x = 2
f(x) = x² + 4x - 12
f(2) = (2)² + 4(2) - 12
f(2) = 4 + 8 - 12
f(2) = 12 - 12
f(2) = 0
The vertex of the function is (2,0).
Answer:
x1 = 275 miles (shorter)
x2 = 318 miles (longer)
Step-by-step explanation:
Let
x1 = be the shorter route
v1 = speed of the car in the shorter route
t1 = time it took to cover shorter route
x2 = the longer route
v2 = speed of the car in the longer route
t2 = time it took to cover longer route
x1 + 43 = x2 (1)
v2 = v1 -2 (2)
v2 = x2/t2 = x2/6
v1 = x1/t1 = x1/5
This means that
v2 = v1 -2 =>
x2/6 = x1/5 -2
The system of equations results
a. x1 -x2 = -43
b. x1/5 - x2/6 = 2
Solving this system of equations, we find that
x1 = 275 miles
x2 = 318 miles
Answer:
x = -9
Step-by-step explanation:
ANGLES IN A TRIANGLE ADD UP TO 180°
50° + 80° = 130°
180° - 130° = 50
x+59 = 50
x = -9
the answer is 7 feet and 5 inches
Answer:
22 in
Step-by-step explanation:
<u>circumference of a circle = 2 π r</u>
where radius (r) = 7/2 in. = 3.5 in
C = 2 π (3.5)
= 22 in
