Set measurements equal to each other.
7X + 20 = 8X + 8
-7X -7X
20 = X + 8
-8 -8
ANSWER: X=12
Answer:
This (x - 5) represents the length of the rectangle.
Step-by-step explanation:
The formula for the area of a rectangle of length L and width W is A = L * W.
Here, the width is x - 4 and the area is x^2 + x - 20. Dividing the width (x - 4) into the area results in an expression for the length:
x - 4 / x^2 + x - 20
Let's use synthetic division here. It's a little faster than long division.
If the divisor in long division is x - 4, we know immediately that the divisor in synthetic division is 4:
4 / 1 1 -20
4 20
--------------------
1 5 0
This synthetic division results in a remainder of 0. This tells us that 4 (or the corresponding (x - 4) is indeed a root of the polynomial x^2 + x - 20, and so *(x - 4) is a factor. From the coefficients 1 and 5 we can construct the other factor: (x - 5). This (x - 5) represents the length of the rectangle.
Answer:
63
Step-by-step explanation:
Answer:
100 km/hr
Step-by-step explanation:
First Leg:
Speed = 60 km/h
Time = 30 min = 0.5 h
1st leg distance = speed x time = 60 km/hr x 0.5hr = 30 km
Second Leg:
Distance remaining = 80 km - 30 km = 50 km
Time = 30 min = 0.5 h
speed = distance / time = 50 / 0.5 = 100 km/hr
