Answer:
a. 150
b. y=150x+1200
Step-by-step explanation:
a. 1350-1200=150
b. if he opened it in 2005 he started his tutoring fee at 1200 that makes 1200 the y intercept
4x=251
251-84=167
4x=167
X=41.75
One tire will cost $41.75
1. First, let us define the width of the rectangle as w and the length as l.
2. Now, given that the length of the rectangle is 6 in. more than the width, we can write this out as:
l = w + 6
3. The formula for the perimeter of a rectangle is P = 2w + 2l. We know that the perimeter of the rectangle in the problem is 24 in. so we can rewrite this as:
24 = 2w + 2l
4. Given that we know that l = w + 6, we can substitute this into the formula for the perimeter above so that we will have only one variable to solve for. Thus:
24 = 2w + 2l
if l = w + 6, then: 24 = 2w + 2(w + 6)
24 = 2w + 2w + 12 (Expand 2(w + 6) )
24 = 4w + 12
12 = 4w (Subtract 12 from each side)
w = 12/4 (Divide each side by 4)
w = 3 in.
5. Now that we know that the width is 3 in., we can substitute this into our formula for length that we found in 2. :
l = w + 6
l = 3 + 6
l = 9 in.
6. Therefor the rectangle has a width of 3 in. and a length of 9 in.
Answer:
A. (−3,5)
Step-by-step explanation:
The rule for dilation by scale factor k is given by:
The given point is P(-3,5) and the scale factor is k=1
We substitute the point and the scale factor into the rule to get:
This gives us:
The correct answer is A
Answer:
Step-by-step explanation:
We can use the point-slope formula given by:
The given line passes through the
point (-3,2) and having slope 
.
We substitute the given point and slope to get:
we clear the fraction to get;
Or in standard form:
