2(6y - 5) - 3y = 2
12y - 10 - 3y = 2
9y - 10 = 2
9y = 12
y = 4/3, or 1 1/3
2x - 3(4/3) = 2
2x - 12/3 = 2
2x - 4 = 2
2x = 6
x = 3
Answer:
12 inches
Step-by-step explanation:
Let b represent the base
h represents the height
area of the parallelogram = base * height = 216 square inches
From the question'
b = 18 + 3h
Slot in the value of b
216 = (18 + 3h) * h
expand
216 = 18h + 3h^2
subtract 216 from both sides
0 = 18h + 3h^2 - 216
rearrange
3h^2 + 18h - 216 = 0
divide through by 3
h^2 + 6h - 72 = 0
Now, lets solve!
h^2 + 6h - 12h - 72 = 0
h( h + 6 ) - 12(h + 6) = 0
(h - 12) (h + 6) = 0
h - 12 = 0
h = 12
and
h + 6 = 0
h = - 6
Taking the positive value of h
Hence, the height is 12 inches
Lets check
when h = 12 inches
Area of the parallelogram = 18* 12 = 216 square inches .... correct
when h = -6inches
A = 18 * -6 ≠ 216 square inches
So height is 12 inches
Answer:
The first choice is correct
Step-by-step explanation:
$32.00 x 15% = 4.80. 32.00-4.80=27.20. Another way to work it is the first choice, subtracting 15% from 100% and then multiplying 85% by $32.00. Same answer
graph looks like the letter v
2 around x means no matter what value x is y will be positive
plot points would be
(-2,2) (-1,1) (0,0) (1,1) (2,2)
Answer:
r = 3.
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope.
Finding the slope of a line, given two points:
When we are given two points of a line, the slope of the line is given by the change in y divided by the change in x.
Points (4,r), (r,3)
Change in y: 3 - r
Change in x: r - 4
Slope is 0, so:
The value is r = 3.
