X = √7²+4² by using Pythagoras Theory as the triangle is a right angled triangle
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:
Mason recieved 15 points for answering the question correctly so that means that he had -15 points before. The points would be at -15 and 0.
c/2-3+6/d
substitute c=14 and d=13:
14/2-3+6/13
simplify:
7-3+6/13
4+6/13
multiply 4 by 13/13 to group like terms (for a fraction):
52/13+6/13
combine:
58/13
Therefore, the answer is 58/13 or around 4.462
