Since QS equals 7 and its a dilation of 6, 7 times 6 equals 42.
Therefore, XZ equals 42.
We have that
0 = –2x²<span>+ 2x + 3
</span>
Group terms that contain the same variable, and move the constant to the opposite side of the equation
(–2x²+ 2x)=-3
Factor the leading coefficient
-2*(x²-x)=-3
Complete the square. Remember to balance the equation by adding the same constants to each side
-2*(x²-x+0.25)=-3-0.50
Rewrite as perfect squares
-2*(x-0.5)²=-3.50
(x-0.5)²=-3.50/-2
(x-0.5)²=1.75------> square root both sides
(+/-)(x-0.5)=√7/2
(+)(x-0.5)=√7/2----> (√7/2)+0.5----> x=1.823
(-)(x-0.5)=√5/2-----> x=0.5-(√7/2)----> x=-0.823
the solutions are
x=1.823
x=-0.823
Answer:
10%
Step-by-step explanation:
The change is 90-100 = -10. As a percentage of the original amount, that is ...
-10/100 × 100% = -10%
The change from 100 to 90 is a reduction of 10%.
Re-write with common denominator, in this case 6:
Add:
