Find the length of segment AC if AB is 7, BC is 12 and B is between a A and C
1 answer:
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Remember, for 
the x value of the vertex is 
so
given
x value of vertex is -5
and
multiply both sides by a
5=-5a
divvide both sides by -5
-1=a
a=-1
comlete the square
remember if we do
(h,k) is the vertex
I know, we can subsitute the known values of te vertex
-5 for h and 20 for k then expand
a=-1
c=-5
so
given
x value of vertex is -5
and
multiply both sides by a
5=-5a
divvide both sides by -5
-1=a
a=-1
comlete the square
remember if we do
I know, we can subsitute the known values of te vertex
-5 for h and 20 for k then expand
a=-1
c=-5
Given that, the variable z is directly proportional to x.
So, we can set up an equation as following:
z = kx Where k is constant of variation.
When x= 13, z is 169.
Hence, next sep is to plug in these values in the above equation to get the value of k. Therefore,
169 = k * 13
Divided each sides by 13.
So, k = 13
By plug in k = 13 in the above equation we will get z = 13x.
Now we need to find the value of z when x = 19.
From the above equation we will get:
z = 13 * 19
z = 247
So, z = 247.
I hope this helps you!