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bija089 [108]
2 years ago
7

Hey guys maths today

Mathematics
2 answers:
allochka39001 [22]2 years ago
7 0
Angle B is 36. Hope this helps. :)
Snezhnost [94]2 years ago
5 0
B = 180 - ( 90 +54)
B = 180 - 144
B = 36
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At what points on the given curve x = 4t3, y = 3 + 40t − 2t2 does the tangent line have slope 1?
dexar [7]

ANSWER

The points are:

(32,-85)

and

( \frac{500}{27} , \frac{577}{9} )

EXPLANATION

The given parametric equation that defines the curve is:

x = 4 {t}^{3}

y = 3 + 40t - 2 {t}^{2}

We differentiate to get,

\frac{dx}{dt}  = 12 {t}^{2}

\frac{dy}{dt}  = 40 - 4t

The slope of the tangent is given by;

\frac{dy}{dx}  =  \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} }

\frac{dy}{dx} =  \frac{12 {t}^{2} }{40 - 4t}

For the slope to be 1, then we must solve the following equation for t.

\frac{12 {t}^{2} }{40 - 4t}  = 1

12 {t}^{2}  = 40 - 4t

12 {t}^{2}   + 4t - 4 0 = 0

3{t}^{2}   + t - 10 = 0

(t + 2)(3t - 5) = 0

t =  - 2 \: \:  or \:  \: t =  \frac{5}{3}

When t=-2, we put -2 into the expression for x and y to get

x=4(-2)³ and y=3+40(-2)-2(-2)²

This implies that,

x=32, y=-85

Hence one point is (32,-85)

Similarly, when

t =  \frac{5}{3}

x =  \frac{500}{27} ,y =  \frac{577}{9}

Another point is

( \frac{500}{27} , \frac{577}{9} )

7 0
2 years ago
Help on this plzzzzz
Ivahew [28]
The transformation was a 180 rotation about the origin because it is the opposite.
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thx
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-3 is one of them hope this helps
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If 5 boxes of cereal cost $27.50, how much does one box of cereal cost? a) $5.50 b) $5.05 c) $550 d) .55​
olga_2 [115]

}

Answer:B

Step-by-step explanation: I said that because you have 27 and 50 Cent so basically you won't have that $5 in that picture because you still going to have that $0.04 and then you still have to have that much so I I think I am right but if I'm not I'm so sorry but I'm taking not even to get I'm trying to get back on track but I think is b for a reason like I think you could be because you have 27 and 50 Cent so if you got twenty-seven fifty cents you just rounding it down

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2 years ago
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