Answer:
PROBLEM 5: 80
PROBLEM 6: 94
Step-by-step explanation:
<u>PROBLEM 5:</u>
5(2 times 5 + 6)
=5(10+6)
5(16) = 5 times 16
=80
<u>PROBLEM 6:</u>
4 times(5 to the power 2)-6
4(25)-6
=100-6
=94
Let width be w then the length l = w + 7
Area = w(w + 7) = 120
w^2 + 7w - 120 = 0
w = 8 or -15 (ignore negative)
So w = 8 and l = 8+7 = 15
Length of the diagonal d is calculated using Pythagoras theorem:-
d^2 = 8^2 + 15^2 = 289
diagonal = sqrt 289 = 17 feet (answer)
For this case we have that by definition, the slope of a line is given by:
Where:
andare two points through which the line passes
According to the statement we have:
Substituting we have:
Thus, the slope of the line is:
Answer:
Answer:
y=(-3/2)x+24
Step-by-step explanation:
a perpendicular line should have the negative reciprocal of the line that it is perpendicular to.
negative reciprocal of 2/3 is -3/2
out line should look something like this
y=(-3/2)x+b
then we use the given point to find b
6=(-3/2)12+b
6=-18+b
b=24