Can someone help with this please??
1 answer:
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Answer:
see explanation
Step-by-step explanation:
(1)
Given
g(r) = (r + 14)² - 49
To obtain the zeros, let g(r) = 0 , that is
(r + 14)² - 49 = 0 ( add 49 to both sides )
(r + 14)² = 49 ( take the square root of both sides )
r + 14 = ± = ± 7 ( subtract 14 from both sides )
r = - 14 ± 7, then
r = - 14 - 7 = - 21 ← smaller r
r = - 14 + 7 = - 7 ← larger r
(2)
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
g(r) = (r + 14)² - 49 ← is in vertex form
with vertex = (- 14, - 49 )
Answer:
x = 45
Step-by-step explanation:
Corresponding sides of similar triangles will be in same ratio.
Cross multiply
x*28 = 20*(x+18) {Use distributive method}
28x = 20x + 360
28x - 20x = 360
8x = 360
x = 360/8
x = 45
Answer:
Period =½
Equation of midline, y=0
Maximum =2
Minimum=-2
Step-by-step explanation:
The given function is
The period is given by:
The equation of the midline is y=0 since there is no vertical shift
The amplitude of this function is 2 so the range is -2≤y≤2.
Hence the maximum value is 2 and minimum value is -2