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3 years ago

Which of the graphs below represents the equation 8x − y = -4?

Mathematics

1 answer:

Cerrena [4.2K]3 years ago

4 0

Answer:

8x-y+4=0

Step-by-step explanation:

because 8x-y+4=-4+4

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What is the trigonometric ratio for sin C?

Vesna [10]

<h3>Answer: 9/41</h3>

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Explanation:

We have a triangle with these three sides.

a = 80
b = unknown
c = 82

Use the pythagorean theorem to find b

a^2+b^2 = c^2

b = sqrt(c^2 - a^2)

b = sqrt(82^2 - 80^2)

b = sqrt(324)

b = 18

This is the missing vertical leg of the triangle. And this is also the side opposite angle C.

We have enough information to compute the sine of the angle.

sin(angle) = opposite/hypotenuse

sin(C) = AB/AC

sin(C) = 18/82

sin(C) = (9*2)/(41*2)

sin(C) = 9/41

6 0

2 years ago

What is the solution to the system of equations shown below?

My name is Ann [436]

Answer:

Step-by-step explanation:

____

Good evening ,

_______________

2(7) + 5(1) + 3(-3) = 10

3(7) - (1) + 4(-3) = 8

5(7) - 2(1) + 7(-3) = 12

Then (7,1,-3) is a solution to system

____

8 0

3 years ago

Which could be the base shape of the cylinder

olga_2 [115]

Answer: i think it is a circle

Step-by-step explanation: because on the top and bottom its circle

5 0

2 years ago

Read 2 more answers

CAN SOMEONE PLEASE HELP ME OUT!!! I don’t know if it’s A,B,C,D !!

VMariaS [17]

Answer:

Step-by-step explanation:

4 0

2 years ago

You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago