Answer:
4 + 36x is your expression
Step-by-step explanation:
4 x 1 = 4
4 x 9x = 36x
so 4 + 36x is your expression because you can't add numbers with different variables or if they don't even have one.
y=-3x+4
this is a line with slope -3 and y intercept of 4
the line is all the points that are the solutions to the equation
D.a line that shows the set of all solutions to the equation
Hey You!
12.25 - 5.5 = 6.75
The blue balloon had 6.75 more ounces of water than the red one.
Answer:
204/325
Step-by-step explanation:
You can work this a couple of ways. We expect you are probably expected to use trig identities.
cos(A) = √(1 -sin²(A)) = 24/25
sin(B) = √(1 -cos²(B)) = 12/13
cos(A -B) = cos(A)cos(B) +sin(A)sin(B) = (24/25)(5/13) +(7/25)(12/13)
= (24·5 +7·12)/325
cos(A -B) = 204/325
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The other way to work this is using inverse trig functions. It is necessary to carry the full calculator precision if you want an exact answer.
cos(A -B) = cos(arcsin(7/25) -arccos(5/13)) = cos(16.2602° -67.3801°)
= cos(-51.1199°) ≈ 0.62769230 . . . . (last 6 digits repeating)
The denominators of 25 and 13 suggest that the desired fraction will have a denominator of 25·13 = 325, so we can multiply this value by 325 to see what we get.
325·cos(A-B) = 204
so, the exact value is ...
cos(A -B) = 204/325
