<span>1.Write an equation in slope- intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (2,-2);y=-x-2
D.y=-x
2.Write an equation in slope- intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (2,-1);y=-3/2x-6
C.y=-3/2x+2
3.Write an equation in slope- intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (4,2);x=-3
D.y=4
4.Write an equation in slope- intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation. (-2,3);y=1/2x-1
B.y=-2x-1
5.Write an equation in slope- intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation. (5,0);y+1=2(x-3)
D.y=-1/2x+5/2</span>
Answer:
19 and 26
Step-by-step explanation:
The other 2 cant work because that would make the total Degrees inside the triangle more than 180 (this is impossible)
Part A: The slope of f(x) is three times as great as the slope of g(x).
Part B: The y-intercept of g(x) is 12 larger than the y-intercept of f(x).
In order to find these two answers, you need to find a model for f(x). You can do that by first finding the slope. The formula is below.
slope (m) = (y2 - y1)/(x2 - x1)
In this equation (x1, y1) is the first point and (x2, y2) is a second point. For this purpose, we'll pick (1, 0) and (0, -6)
slope (m) = (-6 - 0)/(0 - 1)
m = -6/-1
m = 6
Now we know that the slope is 6, which is 3 times as great as the first slope. Now to find the y-intercept, we can use either point and the slope in slope intercept form.
y = mx + b
0 = 6(1) + b
0 = 6 + b
-6 = b
So we know the y-intercept is -6, which is 12 less than the y-intercept of g(x).
Answer: the Jones family paid $164
Step-by-step explanation:
Let x represent the one time charge that smith lake boat rentals charge for cleaning.
The bengal family rented a boat from 11 am- 6:30pm and paid $226.50. This means that the number of hours for which they rented the boat is
11 - 6:30/= 7.5 hours
Therefore,
25 × 7.5 + x = 226.5
187.5 + x = 226.5
x = 226.5 - 187.5
x = $39
If the jones family rented a boat from 8am-1pm, the number of hours would be 5 hours.
The amount that they paid is
39 + 5 × 25 = 39 + 125
= $164
Answer:
$150
Step-by-step explanation:
I = prt
I = 5000(.06)(.5)
I = 150
