Answer:
m = -4
Step-by-step explanation:
First, you should distribute -8 into m + 8 to get -8m - 64. Then, you should combine -4m and -8m together to get -12m as a result. Your equation should now be -24 - 2m = -12m - 64. Add 12 on both sides to get -24 + 10m = -64. Add 24 on both sides to get -40 on the right side. Finally, divide 10 on both sides to get your m value which is -4.
Answer: Eric still needs
of a deck.
Step-by-step explanation:
You know that:
- Eric need 1/2 deck of playing cards.
- Eric has 2/7 of a deck.
Therefore, to find the fraction of a deck that Eric still needs, you must subtract 1/2 and 2/7:
- Find the least common multiple of the denominators:


- Now, you can make the subtraction:

Therefore, he still needs
of a deck.
We first start by finding the actual coordinates of the pre - image's point S.
Assuming the x and y axis count by 1s, as there is no labels, we can conclude that:
The point's x coordiate is 4 to the left from the origin, or -4.
The point's y coordinate is 4 up from the origin, or 4.
So, the coordinates of Point S is (-4, 4).
Next, we apply the translation rule for a 90 degree counterclockwise rotation to the point's coordinates. The rule is (x, y) --> (-y, x). Using this rule on our coordinates, we get:
(-4, 4) --> (-4, -4)
So, the new coordinates of point S prime after a 90 degree counterclockwise rotation are (-4, -4).