Answer:
see below
Step-by-step explanation:
sin x 1
------------------- = -----------
sec^2 x - tan ^2 x csc x
Sec = 1/cos and tan = sin/cos
sin x 1
------------------- = -----------
1/ cos ^2 x -sin^2/cos ^2 x csc x
Factor the denominator
sin x 1
------------------- = -----------
(1-sin^2 x)/ cos ^2 x csc x
We know that 1 - sin^2 x = cos ^2
sin x 1
------------------- = -----------
(cos^2 x)/ cos ^2 x csc x
sin x 1
------------------- = -----------
1 csc x
Multiply the top and bottom of the left hand side by 1/ sin x
sin x * 1/ sin x 1
------------------- = -----------
1 * 1 sin x csc x
1 1
------------------- = -----------
1 sin x csc x
We know that 1/sin x = csc
1 1
--------- = -----------
csc (x) csc x
Answer:
i think it might be C
Step-by-step explanation:
Answer:
y = -0.3x + 103
Step-by-step explanation:
✔️Find the slope (b):
Slope = ∆y/∆x
Using, (25, 95.5) and (35, 92.5),
Slope (m) = (92.5 - 95.5)/(35 - 25) = -3/10 = -0.3
✔️Find the y-intercept (b):
Substitute (x, y) = (25, 95.5) and m = -0.3 into y = mx + b
95.5 = -0.3(25) + b
95.5 = -7.5 + b
95.5 + 7.5 = b
103 = b
b = 103
✔️To write the equation, substitute m = -0.3 and b = 103 into y = mx + b
Thus:
y = -0.3x + 103
Answer:
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Step-by-step explanation:
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