Answer:
Option B: 
Step-by-step explanation:
The parabola has its concavity downwards, so we need a function in the model:

With a negative value of 'a'
The vertex is (0,0), so we have that:


The x-coordinate of the vertex is given by the equation:



So we have a function in the model:

With a < 0
The only option with this format is B:

Good evening ,
Answer:
In this case the dilation is a reduction (as you can see the image triangle is smaller than the original triangle)
and also the scale factor = OA’/OA = 2/6 = 1/3
since -1 < 1/3 < 1 then it’s a reduction.
Step-by-step explanation:
Look at the photo below for more details (notice OA’ and OA).
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Answer:
C. 82.43
Step-by-step explanation:
acb's angle is 315 degrees because
360 - 45 = 315
arc length is in radians
arc length is radius times (angle times (pi÷180))
arc length is 15 times (315 times (pi÷180))
arc length is 82.43
cuemathcomgeometry
Answer:
PQ = 4
Step-by-step explanation:
As ; PQ=QR
PR = 8
PR= PQ+QR —> 8 = 2x —> x= 8/2 = 4
SO ; PQ = 4 , QR = 4
I hope I helped you^_^
Answer:
domain will be ( -∞, ∞)
Step-by-step explanation:
The given functions are f(x) = x² - 1 and g(x) = 2x - 3
We have to find domain of (fog)(x)
We will find the function (fg)(x) first.
(fog)(x) = f[g(x)]
= (2x - 3)²
= 4x² + 9 - 12x - 1
= 4x² - 12x + 8
= 4 (x² - 3x + 2)
The given function is defined for all values of x.
Therefore, domain will be ( -∞, ∞)
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