Answer:
1) 6x+3y=5
Step-by-step explanation:
1) First, find the slope of the line passing through (-4, -1) and (-1, -7). Use the slope formula 
. Substitute the x and y values of the two points into the formula and solve:
So, the slope is -2.
2) Now, identify the slopes of the lines in the options. We already know the slope of 
is 
since it is in slope-intercept form. y = -2 must have a slope of 0 since it's horizontal, and all equations with the format of y = a number are horizontal.
To find the slope of 
, isolate y to put the equations into slope-intercept form (
format), and whatever the coefficient of the x-term is will be the slope.
.
So, the slope of the first option is -2. It matches the slope we calculated in the first step, so that must be the answer.
Any point with coordinates (x, y) reflected across the y-axis is going to have the opposite x value that it did before.
You should be able to find the coordinates yourself for part a. (you didn't provide the original ones so I can't help you there)
Here is the "rule" for a reflection across the y-axis:
And when we go 1 unit to the right and 2 down, that's the same as
Combining those into one rule is pretty simple, Use our result for the first in the second and we would get
, so the rule is
.
Part A is asking for the coordinates after the reflection (x, y) ⇒ (-x, y).
Part C is asking for the coordinates after the full translation ⇒ (-x+1, y-2)
Answer:
Stefan originally spent $110
Stefen made $33 by selling the bicycle and helmet to jin.
Step-by-step explanation:
let ,
the original cost of bicycle and helmet for Stefan be 'x'
now,
total cost for Jin of bicycle and helmet = 126 + 17
= 143
also, total cost for Jin = 130% of original cost for Stefan
⇒ 143 = 
⇒ x = 110.
hence,
profit made by Stefan = total cost for Jin - original cost for Stefan
= 143 - 110
= 33
2.39 - 1.30 = 1.09 (no)
0.63 + 1.25 = 1.88 (no)
-2.96 + 4.35 = 1.39 (yes)
-5.66 + 1.25 = 4.41 (no)
In order to find the vertical asymptotes of a rational function you must set the denominator = 0 and solve for x.
If F(x) = (3x + 9) / (x^2 + 4x - 12), then set x^2 + 4x - 12 = 0 and solve for x.
(x + 6)(x - 2) = 0
x + 6 = 0 so then x = -6
x - 2 = 0 so then x = 2
For this particular function, you have 2 vertical asymptotes. x = -6 and x = 2
