Answer: Trapezoid
A trapezoid is a quadrilateral with exactly one pair of parallel sides. The other two opposite sides are not parallel. In order to have a parallelogram, we need two pairs of opposite parallel sides (not just one pair). Since a trapezoid is not a parallelogram, this means this is a counterexample to the original statement.
Answer:
x = 
, y = -1.71
Step-by-step explanation:
sub y = x+4 in the first equation to get:
12 x - 5 (x+4) = -20
Simplify:
12 x - 5 x + 20 = -20
Further simplify:
7 x = - 40
Divie both sides by 7 to get:
x =
--> x = -5.7
Sub x = in the second equation to get:
y = + 4 = -1.71
Answer:
8
x
10
^0
Step-by-step explanation:
the reason why is because there is no 0 behind the 8 so the exponent could not say a number so it is just 0
<u>Answer:</u> The value of x can be either 5 or 10.
<u>Step-by-step explanation:</u>
We are given:
Total profit, P = $5600
The given equation follows:
⇒ P = 600 + 1500x - 100x²
Putting value of P in above equation, we get:
⇒ -100x² + 1500x + 600 = 5600
⇒ -100x² + 1500x - 5000 = 0
⇒ 100x² - 1500x + 5000 = 0
Solving this equation by middle term split, we get:
⇒ 100(x² - 15x + 50) = 0
⇒ (x² - 10x - 5x + 50) = 0
⇒ x(x - 10) - 5(x -10) = 0
⇒ (x - 10)(x - 5) = 0
⇒ x = 10, 5
Hence, the value of x can be either 5 or 10.
Answer:
237.5
Step-by-step explanation:
