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
(x - h)^2 + (y -k)^2 = r^2
(h,k) is the center and r is the radius.
(x + 2)^2 + (y + 8)^2 = 16
Answer:
You need to add the expressions. When you do I will edit my answer and give it to you.
Answer:
77.5 cm²
Step-by-step explanation:
We need to find the surface area of the rectangular prism.
Total surface area = 2(lw + wh + lh)
where:
- l = length of base
- w = width of base
- h = height of prism
Given dimensions:



Substituting these value into the formula:

Therefore, 77.5 cm² of fabric is needed to cover the weight.
Answer:
proved
Step-by-step explanation:
Given

Required
Prove
Proving from left to right.

In trigonometry

When this formula is applied to:
We have:


<em>Proved</em>