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Ket [755]
3 years ago
14

Factor this expression 9y - 36

Mathematics
1 answer:
Viktor [21]3 years ago
5 0

Answer: 9(y-4)

Step-by-step explanation:

the gcf is 9

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What is the surface area of the solid
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Answer:

189

Step-by-step explanation:

each of the triangles has a area of 35 cm, so 35x4=140, then the square is 49 cm so its 140+49=189.

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I’ll give brainiest
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C

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9x^2-49y^2

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Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter
jolli1 [7]

Answer:

the answer is incomplete, below is the complete question

"Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter your answer in terms of s.) r(t) = 3ti + (1 - 4t)j + (1 + 2t)k r(t(s)) ="

answer

r(t(s)) = \frac{3s}{\sqrt{29} } i + (1 -\frac{4s}{\sqrt{29} }t)j + (1 + \frac{2s}{\sqrt{29} })k

Step-by-step explanation:

The step by step procedure is to first determine the differentiate the given vector function

r(t) = 3ti + (1 - 4t)j + (1 + 2t)k

\frac{d(r(t) = 3ti + (1 - 4t)j + (1 + 2t)k)}{dt} \\r'(t)=3i-4j+2k\\

since s(t) is the arc length for r(t), which is define as

s(t)=\int\limits^t_0 {||r'(t)||} \, dt

if we substitute the value of r'(t) we arrive at

s(t)=\int\limits^t_0 {||r'(t)||} \, dt\\s(t)=\int\limits^t_0 {\sqrt{3^{2} +4^{2}+2^{2}} \, dt\\s(t)=\int\limits^t_ 0{\sqrt{29} } \, dx\\

s(t)=\int\limits^t_ 0{\sqrt{29} } \, dx\\\\s(t)=\sqrt{29} t\\hence \\t(s)=\frac{s}{\sqrt{29} }

substituting the value of t in to the given vector equation we have

r(t(s)) = \frac{3s}{\sqrt{29} } i + (1 -\frac{4s}{\sqrt{29} }t)j + (1 + \frac{2s}{\sqrt{29} })k

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4 years ago
A population of rabbits is growing exponentially. The function f(x) = 5(2)t models the number of rabbits after t months.
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<span>13 months

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The radius of a circle is 17m what is it circumference
Nitella [24]

Answer:

The circumference vis 289

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17x17

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