180/3 = 60
Therefore the car traveled 60km per hour.
Answer:
Area = 27 cm²
Step-by-step explanation:
let L be the length of the rectangle
w the width
P the perimeter
A the area
<u>Formulas</u> :
P = 2×(L + w)
A = L × w
<u>We are Given</u> :
L = 3w
P = 2×(L + w)
⇔ 24 = 2×(3w + w)
⇔ 24 = 2×4w
⇔ 24 = 8w
⇔ w = 24/8 = 3
Then
L = 3w = 3×3 = 9
We obtain L = 9 and w = 3.
Then
A = L × w
= 9 × 3
= 27
Answer:
k=20
Step-by-step explanation:
when x approaches 4, the denominator x-4 approaches 0
if the denominator is 0, it means that this is invalid
if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit
so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4
so x^2 + x - k = 0 when x = 4
4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20
