Answer:
The square root of -16 would be 4 i. Hope this helps!
Step-by-step explanation:
Answer:
x² + y² = 6.25
Step-by-step explanation:
The standard equation of a circle is ( x – h)² + ( y - k)² = r² where the center is (h, k) and r is the radius.
From your given information that the center is (0, 0) then both h and k are 0. Then r is 2.5, so
( x – 0)² + ( y - 0)² = (2.5)²
x² + y² = (2.5)²
x² + y² = 6.25
The second answer i believe
Answer:
Here's what we know:
A = Lw (Area is length times width)
L = 2w + 6 (length is twice the width plus 6)
A = 140 (Area is 140 m2)
Plug in the variable values:
140 = w(2w + 6)
Distribute:
140 = 2w2 + 6w
Subtract 140:
2w2 + 6w - 140 = 0
Factor out a 2:
2(w2 + 3w - 70) = 0
Divide both sides by 2:
w2 + 3w - 70 = 0
(w + m)(w - n)
When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:
(w + 10)(w - 7) = 0
w = -10, 7
We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.
L = 2 * 7 + 6
L = 14 + 6
L = 20
Check:
140 = 20 * 7
140 = 140
