Answer:
g(x) = (1/6)(x +7)^2 -8
Step-by-step explanation:
The transformation ...
g(x) = a·f(x -h) +k
represents vertical scaling by a factor of 'a', right shift by h units, and up shift by k units. You want the function g(x) for f(x) = x^2, a = 1/6, h = -7, and k = -8. Those transformations give you ...
g(x) = (1/6)(x +7)^2 -8
Answer:
4x+5 ft
Step-by-step explanation:
1/2(4x²+29x+30) = 1/2 (x+6) * Height
Height = (4x²+29x+30) / (x+6) = (x+6) (4x+5) / (x+6) = 4x+5
Answer:
On Tuesday
3/4 + 3/4 = 3/2 = 1 1/2 = 1.5
On Wednesday
2/4 + 1 1/4 = 7/4 = 1 3/4 = 1.75
Then we subtract
1.75 - 1.5 = 0.25
In the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.
<h3>What is the triangle?</h3>
The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
In the first diagram:
The sum of the 5k + 20 and 7k + 40 is 180
5k + 20 + 7k + 40 = 180
12k + 60 = 180
12k = 180 -60
12k = 120
k = 10
In the second diagram:
The sum of the two interior angles is equal to the exterior angle.
40 + 12k + 10 = 8k + 80
4k = 30
k = 30/4 = 15/2
Thus, in the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.
Learn more about the triangle here:
brainly.com/question/25813512
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