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
Answer/Step-by-step explanation:
Each square would be about 0.78 by 0.78
Answer:
y = -2x - 3
Step-by-step explanation:
Answer:
(6x² - 5)(x² + 2)
Step-by-step explanation:
Given
6
- 5x² + 12x² - 10 ( factor the first/second and third/fourth terms )
= x²(6x² - 5) + 2(6x² - 5) ← factor out (6x² - 5) from each term
= (6x² - 5)(x² + 2)
So you ave a 3 out of 10 chance to get a letter in eh word DIG then you have a 1 in 2 chance of drawing an odd number add those together.
13 out of 30 chance
Simplify if necessary, hope this helps