Answer:
a) r(t) = 0.783t radians
b) h(t) = 30cos(0.783*t) feet
Step-by-step explanation:
The situation is depicted in the picture attached
<h3>(see picture)
</h3>
Since the angular speed is constant, to find an expression for the angle r(t) in radians we just cross-multiply using the fact that 1 min = 60 seconds
4.7 radians __________ 60 seconds
r(t) radians ____________ t seconds
The height h(t) after t seconds is given by
h(t) = 30cos(r(t)) ===>
h(t) = 30cos(0.783*t) feet
Answer:
6x^2 -10
Step-by-step explanation:
(5x²+2) - (-4x²+7)+(-3x²-5)
Distribute the minus sign
(5x²+2) +4x²-7 +(-3x²-5)
Combine like terms
5x²+4x²-3x² +2-7-5
6x^2 -10
Answer:
y = (-3/7)x + 2
Step-by-step explanation:
slope-intercept form is y = mx + b, where m = slope and b = y-intercept.
all you need to do is plug the values into the equation! :)
since your slope is (-3/7), plug that in for m.
y = mx + b ⇒ y = (-3/7)x + b
and since your y-intercept is 2, plug that in for b.
y = (-3/7)x + b ⇒ y = (-3/7)x + 2
therefore, the line's equation in slope-intercept form is y = (-3/7)x + 2.
<em>don't worry about the parentheses, i only put them in there to separate the 7 in -3/7 from x. i'm not good at putting equations in here on brainly lol i just wanted to make sure you didn't think that it was -3 over 7x.</em>
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i hope this helps! have a lovely day <3
