Answer:
Step-by-step explanation:
<u>Given system</u>
- 4x + 6y = 18
- (y + 2) = 1/3(x + 2)
<u>Solution is the intersection point:</u>
<u>Simplify the first equation:</u>
- 2x + 3y = 9
- 3y = -2x + 9
- y = -2/3x + 3
<u>Check:</u>
- 1/9 = -2/3*4 1/3 + 9
- 1/9 = -26/9 + 9
- 1/9 = (27 - 26)/9
- 1/9 = 1/9
<u>Simplify the second equation:</u>
- y + 2 = 1/3x + 2/3
- y = 1/3x + 2/3 - 2
- y = 1/3x - 4/3
<u>Check</u>:
- 1/9 = 1/3*13/3 - 4/3
- 1/9 = (13 - 12)/9
- 1/9 = 1/9
Answer:
y-7 = 4(x+9)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is the point
y-7 = 4(x--9)
y-7 = 4(x+9)
Answer:
Step-by-step explanation:
In order to find the area of this shape, we need to break it up into to distinct shapes: a triangle and a rectangle
We know that the base and height of the triangle are each 6 inches and that the base of the rectangle is 6 inches and the height is 11 inches
The area of this shape is
Answer: $12,000
Step-by-step explanation:
Miguel makes 6% on every sale he makes and wants to make $600 in commissions.
The amount he needs to sell is therefore the amount that has $600 as 5% of it.
Assume the amount of insurance needed is x.
x * 5% = 600
x = 600 / 5%
x = $12,000