Two points can be (6,5) and (7,8)
Lets make k equal to Kate's age and j equal to Joey's age. If in 5 years Kate will be twice as old as Joe, you can write the equation k+5=2(j+5) and then simplify it to make it easier to work with.
k+5=2(j+5)
k+5=2j+10
k+5-2j=10
k-2j=5
since we know that right know Kate is 11 years older than Joey, you can write the equation k+j=11. Since you know have two equations with with the same variable, you can make a system of equations as fallows:
k-2j=5
k+j=11
Since you need to figure out how old Joey is, you need to somehow get k to cancel out. The easiest thing to do for this problem is to is multiply the top equation by -1 to get:
-k+2j=-5 (you have to add the bottom equation to the top equation)
k+j=11 (-k+k=0, 2j+j=3j, and -5+11=6)
Since k got canceled out, you are left with the equation 3j=6 which means j=2.
Therefore, Joey's current age is 2.
I hope this helps.
Hey there! :)
Answer:
D. A vertical translation of f(x) four units downward.
Step-by-step explanation:
Recall that the transformations form of an absolute value function is:
f(x) = ±a|b(x-h)|+k
Where 'a' is a vertical stretch/compression
'b' is a horizontal stretch/compression
'h' is a horizontal shift
'k' is a vertical shift
In g(x) = |x| -4, we can derive a k value of -4.
This means that from f(x) to g(x), there has been a vertical translation of f(x) four units downward.
Answer:
12 is the answer thanks for asking in