Step-by-step explanation:
Explanation:
Because
(2,6) is in the function, we can plug
6 as y
and
2 as x.
From that we get
6=a(2−1)2+k
6=a+k
Same for the next point:
12=a(3−1)2+k
12=22a+k
12=4a+k
Now we have this system of equations to solve:
a+k=6
4a+k=12
Solving it leads to the conclusion that
a=2,k=4 .
Answer:
2x+9=12x-21
-2. -2
9=10x -21
+21 +21
30=10x
Divide by 10 on both sides
30/10
x=3
Step-by-step explanation:
Answer:
False unless a right trapezoid.
Step-by-step explanation:
All trapezoids have 4 angles which add to 360 degrees. The angles can be any measure except in a right trapezoid which does have two 90 degree angles. It is not a requirement to be a trapezoid though so this is false.
Set up a proportion:
3/4 = x/12
Cross multiply:
36 = 4x
Divide 4 to both sides:
x = 9