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raketka [301]
2 years ago
5

Find a ⋅ b. a = 9i + 5j, b = 4i + 3j

Mathematics
2 answers:
aksik [14]2 years ago
4 0

Answer:

Step-by-step explanation:

51

<13, 8>

<36, 15>

-21

N76 [4]2 years ago
3 0
9i+5j x 4i+3j
Factor
=9i+20ij+3j
= (9+20j)i+3j
=3j+(9+20j)i =answer
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Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 162 square feet
Gnom [1K]

Answer:

The width and length of rectangle is 12.728 m

Step-by-step explanation:

Let the length of the rectangle = L

let the width of the rectangle = W

The subjective function is given by;

F(p) = 2(L + W)

F = 2L + 2W

Area of the rectangle is given by;

A = LW

LW = 162 ft²

L = 162 / W

Substitute in the value of L into subjective function;

f = 2l + 2w\\\\f = 2(\frac{162}{w} )+2w\\\\f = \frac{324}{w} + 2w\\\\\frac{df}{dw} = \frac{-324}{w^2} +2\\\\

Take the second derivative of the function, to check if it will given a minimum perimeter

\frac{d^2f}{dw^2}= \frac{648}{w^3} \\\\Thus, \frac{d^2f}{dw^2}>0, \ since,\frac{648}{w^3} >0 \ (minimum \ function \ verified)

Determine the critical points of the first derivative;

df/dw = 0

\frac{-324}{w^2} +2 = 0\\\\-324 + 2w^2=0\\\\2w^2 = 324\\\\w^2 = \frac{324}{2} \\\\w^2 = 162\\\\w= \sqrt{162}\\\\w = 12.728 \ m

L = 162 / 12.728

L = 12.728 m

Therefore, the width and length of rectangle is 12.728 m

3 0
3 years ago
Pls need help<br> Also making this 10 points so i have 169 points left B)
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Answer:

Second and fourth

Step-by-step explanation:

A line is in point-slope form when you write down as y-y_0=m(x-x_0) - do not be distracted by the signs, +1 and +5 can both be written as -(-1) or -(-5) rispectively.

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Which equation can be used to find 75 percent of 200?
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Answer:

The first equation

Step-by-step explanation:

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Tristan’s depth is 18 feet
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