The vertex form equation is y = a(x-h)^2+k
Lets substitute our given information.
y = a(x-1)^2+5
Now, lets put in the coordinate it needs to pass through.
8 = a(2-1)^2 + 5
8 = a + 5
a = 3
Now, lets make the equation now that we know a.
y = 3(x-1)^2+5
Hope this helps!
Answer:
40
Step-by-step explanation:
a = 5; b = 9
First, substitute 5 for a and 9 for b.
<span>4(z-5)+2=4z-18
4z - 20 + 2 = 4z - 18
4z - 18 = 4z - 18
0 = 0
answer
</span><span>C infinitely many</span>
<u>Given:</u>
The two equations are 
and 
We need to solve the equations using elimination method.
<u>Elimination method:</u>
Let us multiply the equation by 5, we get;
---------(1)
Now, multiplying the equation by -2, we get;
--------(2)
Adding equations (1) and (2), we have;
Thus, the value of y is 3.
Substituting in the equation , we have;
Thus, the value of x is 4.
Hence, the solution of the system of equations is (4,3)
Therefore, Option A is the correct answer.
Answer:
The answer is 37.44
Step-by-step explanation:
Step 1: Divide 52 by 100
In this case, the number that we are "comparing" to 100 is 52, so we must first normalize the number by dividing it by 100. The operation we have to solve is this:
52
100
=
52
÷
100
=
0.52
Step 2: Multiply 0.52 by 72 to get the solution
Now that we have our normalized number, 0.52, we just have to multiply it by 72 to get our final answer. The forumla for this is obviously quite simple:
0.52
×
72
=
37.44
