Answer:
a = -2
Simplifying 5 + -2(4a + 1) + 3a = 13 Reorder the terms: 5 + -2(1 + 4a) + 3a = 13 5 + (1 * -2 + 4a * -2) + 3a = 13 5 + (-2 + -8a) + 3a = 13 Combine like terms: 5 + -2 = 3 3 + -8a + 3a = 13 Combine like terms: -8a + 3a = -5a 3 + -5a = 13 Solving 3 + -5a = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5a = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -5a = 13 + -3 -5a = 13 + -3 Combine like terms: 13 + -3 = 10 -5a = 10 Divide each side by '-5'. a = -2
Plug into y-y1=m(x-x1)
y+4=4(x-4)
The point where the lines intersect is (0, 0)
For this problem you need to find the area.
To find area, you multiply the width by the length.
You multiply 12 1/2 by 5 1/2 and you get 31 1/4
This is how you do it::
= 25/2 × 5/2
= (25 × 5) / (2 × 2)
= 125/4
= 125/4
<span>= 31 1/4
So you know that the area is 31 1/4 yards.
In the question it asks HOW MANY FEET so we have to convert 31 1/4 yards to feet.
1 yard= 3 feet
31 1/4 *3= </span><span>93.75
<span>John need to buy 93.75 feet of fencing to enclose the area.</span></span>
62>32>16>8>>4>2>1
Add them all up and you get 125
So there was a total of 125 games played in the regional soccer tournament.
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