The vertex is at (2, 5).
To find the vertex, we first find the axis of symmetry; this is given by
x = -b/2a
For our equation, b = -16 and a = 4:
x = -(-16)/2(4) = 16/8 = 2
We substitute this back into our equation:
y = 4(2)² - 16(2) + 21 = 4(4) - 32 + 21 = 5
Therefore the vertex is at (2, 5).
The answer is d
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Answer:
x = 23 degrees
Because if you look at diagram x is vertical to angle FBC, and angle FEC and angle EBA are alternate interior angles so they are equal to each other, and AC is a straight line which means it equals to 180 degrees.
x = 23 degrees
Answer:
a. 14
b. 7
Step-by-step explanation:
a. First we must add all the animals together,
Total Animals:
Birds: 6
Fish: 5
Mammals: 11
Reptiles: 3
Therefore our equation is:
6 + 5 + 11 +3 = 25.
Now, we must subtract by the number of mammals:
25 - 11 = 14
So our answer for a. is 14!
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b. So for this problem we must compute mammals + fish and than birds + reptiles. After we figure that out we must subtract them!
Mammals + Fish =
11 + 5 =
16
Next,
Birds + Reptiles =
6 + 3 =
9
Now, let us subtract them,
16 - 9 =
7
So our answer for b. is 7 more animals!
