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:
x > -7/17
Step-by-step explanation:
You first divide -7 by 17 to isolate the variable, (x).
And thats it!
Answer:
B
Step-by-step explanation:
Using the law of sines, we can make a proportion.
But first, we'll need to solve for the unknown angle.
We add up the two known angles and subtract that by 180.
90 + 41 = 131
180 - 131 = 49
So the unknown angles is 49.
Then, we can use the law of sines.
Make the equation.
sin(90)/55 = sin(49)/x
Simplify this using a calculator and you get around 41.51 or option B.
Answer:
c 25
Step-by-step explanation:
T = na
because, total equals to ounces of the material times the amount payed.
