Answer:
Step-by-step explanation:
2x²-2x-12 = 2 (x²-x - 6)
but : x²-x - 6 = x² - 2(1/2)x +(1/2)² - (1/2)² - 6
= ( x - 1/2)² - 1/4 - 6
= ( x - 1/2)² - 25/4
x²-x - 6 = ( x - 1/2)² - (5/2)²
by identity ; a² - b² = (a - b ) ( a +b)
x²-x - 6 = ( x - 1/2 - 5/2) ( x - 1/2 +5/2)
x²-x - 6 = (x - 3) (x +2)
so : 2x²-2x-12 =2(x - 3) (x +2) = (2x-6)(x+2) .......(factored form)
now : 2x²-2x-12 = 0 : 2x - 6 = 0 or x+2 = 0
x= 3 or x = - 2 two solutions
Answer:
9 bows
Step-by-step explanation:
Take the amount of ribbon and divide by the amount needed per bow
2 1/4 ÷ 1/4
Change the mixed number to an improper fraction
(2*4 +1)/4 ÷1/4
9/4 ÷1/4
Copy dot flip
9/4 * 4/1
9
9 bows
A parallelogram is a four-sided shape where the opposite sides are parallel to each other.
A rhombus is a parallelogram with the four sides equal.
Some of the properties of a rhombus are:
<span>1.) All sides are parallel and equal.
2.) Opposite angles are equal
3.) Consecutive angles add up to 180 degrees.
4.) <span>The diagonals bisect the angles.</span></span>
She can ride 12 miles in 90 minutes
Answer:
1/48
Step-by-step explanation:
The common ratio is 1/2,
48 = 24 x 1/2