Answer: a = -5
Step-by-step explanation:
First, open up the brackets, and solve it
-12a -42 = -22 -8a. (-6 x 2a, and -6 x 7)
bring the -8a to the left side, so that all the a’s are together
-12a -42 + 8a = -22 (add -42 on both sides like we did with -8a)
-12a + 8a = -22 + 42
solve
-4a = 20
divide -4 on both sides
a = -5
Translation refers to a rigid motion or transformation where you move an object from one location to another.
Translations are base on the rule (x,y) -- (x+a, y+b) where the words right and left represent the change in the x-axis, and the words up and down the change in the y-axis.
In this exercise it is asked you to find the coordinates of the preimage of point T', which has the coordinates (-3,4) and is the effect of a translation of 3 units up. As previous said, the words up and down represent a change on the y-axis, meaning that the y-coordinate is the one that should be changed.
If the translation from the preimage to the image was 3 units up, then the preimage can be found by subtracting three units.
Pre-image: (-3,4-3)= (-3,1)
The point that represents the coordinates of the pre-image is (-3,1).
Answer:
Step-by-step explanation:
You need to set up a ratio for the original recipe and then use that ratio for the new one.
If we need 3 cups of flour for every 4 cups of sugar, we have a 3 c flour/4 c sugar ratio, or 3/4
The new ratio is 9 c of flour for ? c of sugar. Those ratios have to be the same, so we set up an equation like this:
3/4 = 9/?
In order to keep the same ratio, you have to multiply by the same number. Since 3*3 = 9, multiply 4*3 to get your answer.
Answer:
a) y = 5x
b) y = 60
Step-by-step explanation:
We can see that when you multiply x by 5, you get the y value.
So, 12*5 = 60.
Answer:
3.125 ounces
Step-by-step explanation:
10/3.20=3.125
