Answer:
x = 5
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = bh ( b is the base and h is height )
Here A = 20, b = (x + 3) and h = (2x - 5) , then
(x + 3)(2x - 5) = 20 ← multiply both sides by 2
(x + 3)(2x - 5) = 40 ← expand left side using FOIL
2x² + x - 15 = 40 ( subtract 40 from both sides )
2x² + x - 55 = 0 ← in standard form
(x - 5)(2x + 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5
But x > 0 , so x = 5
Answer:
2,400
Step-by-step explanation:
20 x 10 x 12 = 2,400
Answer:
C. x = 5, y = 7
Step-by-step explanation:
Diagonals of a parallelogram bisects each other. Therefore:
, and,
✔️To find the value of x, substitute y = (x + 2) in .
Thus:
Subtract x from each side
✔️To find y, substitute x = 5 in .
Thus:
Answer:
Since there are no common prime factors,
the only common factor for 11
a^
3
b
^5 is 1
.
Step-by-step explanation: