Answer:
5/6
Step-by-step explanation:
brainliest please
Answer:
no real answer
Step-by-step explanation:
distribute the -4 and combine all of the like terms on the left side = r-8-4r, then -8-3r
then we have 7-3r=-8-3r
from here, we can already tell that there's no real answer. this is because the two -3r will cancel, leaving no variable.
since 7 doesn't equal -8, there is no answer.
if, for example, the value on both sides of the equal sign were the same after the variable was eliminated, then your answer would be all real numbers
Step-by-step explanation:
the area of a triangle
baseline × height / 2
in our case
baseline × height / 2 = 60 in²
height = 6×baseline - 16
baseline × (6×baseline - 16) / 2 = 60
baseline × (3×baseline - 8) = 60
3×baseline² - 8×baseline = 60
baseline = x
3x² - 8x - 60 = 0
general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 3
b = -8
c = -60
x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =
= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =
= (8 ± 28)/6
x1 = (8 + 28)/6 = 36/6 = 6
x2 = (8 - 28)/6 = -20/6 = -10/3
x2 as a negative number is not a valid solution for a length in a geometric shape.
so, x = 6 in is our solution for the baseline.
height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in
base = 6 in
Slope is 2
Y intercept is 4
