2x^2+20x=-38 divide both sides by 2
x^2+10x=-19, halve the linear coefficient, square it, than add that value to both sides of the equation, in this case add (10/2)^2=25...
x^2+10x+25=6 now the left side is a perfect square
(x+5)^2=6 take the square root of both sides
x+5=±√6 subtract 5 from both sides
x=-5±√6 (so answer c.)
Answer:
The area of the base is = 5.2 cm²
Step-by-step explanation:
<em>First, we need to know the formula to calculate volume:</em>

<em>if we change to our equations to the values we know:</em>

<em>Since 3.14 is multiplying B,we can pass it to divide the volume to the left side:</em>

<em>We calculate the operation=</em>

<em>And the answer is 5.2 cm²</em>
<em>Let me know if you have any question :D</em>
Answer:
1. C
2. B
3. C
4. A
5. D
Step-by-step explanation:
Answer:
1. 12
2. the prism with a length of 7 1/2 will have a shorter width, with a width of 6
Set up and solve an equation of ratios. Comparing shadow lengths, we get 100/6; comparing heights, we get x/8. Set these two ratios equal to one another and solve the resulting equation for x:
100 x
----- = ------ Then 6x=800, and x = 800 feet^2 over 6 feet. Your answer
6 8
must have the unit of measurement "ft."