The first two angles in a triangle are 75 degrees and 60 degrees. What does the third angle have to be?
1 answer:
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Answer:
Vertex (5 ,-9)
Step-by-step explanation:
Given : Function f(x) = (x – 8)(x – 2).
To find : What is the vertex of the quadratic function .
Solution : We have given that f(x) = (x – 8)(x – 2).
On removing parenthesis
f(x) = x²-2x -8x +16.
f(x) = x²-10x +16.
We need to find vertex of this function ,
Vertex: (h, k)
h = -.
Plugging values
h = -.
h = 5 this is the x- coordinate,
Now , we will plug x= 5 in quadratic function .
k = (5)²-10(5)+16.
k = 25-50 + 16
k= -9.
Vertex (5 ,-9)
Therefore, Vertex (5 ,-9).
Answer:
Step-by-step explanation:
Start by making a common denominator. In this case, it would be 12.
Multiply -1/3 by 4 to get -4/12
Multiply -9/4 by 3 to get -27/12
Then subtract
- - (-
) =23/12
You can also visualize this on a number line. Once you've made the denominator the same, start at -4/12 and move 27 units to the left to land on 23/12.