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Alinara [238K]
3 years ago
5

Factor by grouping 20p³+15p²+24p+18​

Mathematics
1 answer:
ivolga24 [154]3 years ago
7 0
(4p +3)(5p2 + 6) is your answer
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The measures of two complementary angles are (3y − 1)° and (4y + 7)°. Determine the value of y. (Type number only)
blondinia [14]

Answer:

y = 12

Step-by-step explanation:

Complementary angles sum to 90 , so

3y - 1 + 4y + 7 = 90

7y + 6 = 90 ( subtract 6 from both sides )

7y = 84 ( divide both sides by 7 )

y = 12

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If L=√(x^2+y^2), dx/dt =-4, dy/dt=3, find dL/dt when x=4 and y=3
yulyashka [42]

Hello,

L=\sqrt{x^2+y^2} \\\\\dfrac{dx}{dt}=-4\\\\\dfrac{dy}{dt}=3\\\\x=4, y=3\\\\\dfrac{\partial L} {\partial x} =\dfrac{x}{\sqrt{x^2+y^2}} \\\\\dfrac{\partial L} {\partial y} =\dfrac{y}{\sqrt{x^2+y^2}} \\\\\dfrac{dL}{dt} =\dfrac{\partial L} {\partial x}*\dfrac{dx}{dt}+\dfrac{\partial L} {\partial y}*\dfrac{dy}{dt}\\\\=-4*\frac{-4}{\sqrt{4^2+3^2}} +3*\frac{3}{\sqrt{4^2+3^2}}\\\\=\dfrac{16}{5} +\dfrac{9}{5} \\\\=5\\

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3 years ago
What is the value of f(-1)
natima [27]

ANSWER

f( - 1) = 0

EXPLANATION

From the table the values of x, are on the left and the values of f(x) are on the right.

To find f(-1), we look for the value under f(x) that corresponds to x=-1.

This value is 0.

Therefore

f( - 1) = 0

8 0
3 years ago
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