Answer: option b
Step-by-step explanation:
It is important to know that, by definition, the rule for 180 degrees counterclockwise rotation is:
→
Therefore, given the point (1, -6) we can find the image obtained for for a 180° counterclockwise rotation about the origin by applying the rule mentioned before.
Then, the image is:
→
Just put 3.150 lol that what I did
Answer:
-7/3
Step-by-step explanation:
When finding slope from a graph, I always look for places where the graph crosses grid intersections. One of these is the y-intercept, (0, 40).
You have to go quite some distance to find another. It looks to me like the next grid crossing is at (30, -30). At this point, you can do either of two things:
- find the ratio of grid squares
- use the slope formula
What you want to calculate is the ratio of the change in vertical height (rise) to the change in horizontal distance (run). If you use grid squares, you need to make sure the grid has the same number of units horizontally as vertically. (Here a grid square is 10 units in each direction, so we're OK on that point.)
We have observed that the line falls 7 grid squares vertically for a change of 3 grid squares to the right. So, the slope using grid squares is ...
m = rise/run = -7/3
Using the slope formula, we calculate the slope to be ...
m = (y2 -y1)/(x2 -x1)
m = (-30 -40)/(30 -0) = -70/30 = -7/3
The slope of the line is -7/3.
Answer: 6 people ordered for the lobster dinner.
2 people ordered for the steak dinner.
Step-by-step explanation:
Let x represent the number of people that ordered the lobster dinner.
Let y represent the number of people that ordered the steak dinner.
A family of 8 went out to dinner. This means that
x + y = 8
Each person either ordered the lobster dinner, which costs $25, or the steak dinner which cost $20. The total cost of all the meals is $190. This means that
25x + 20y = 190 - - - - - - - - - -- -1
Substituting x = 8 - y into equation 1, it becomes
25(8 - y) + 20y = 190
200 - 25y + 20y = 190
- 25y + 20y = 190 - 200
- 5y = - 10
y = - 10/ - 5
y = 2
x = 8 - y = 8 - 2
x = 6
