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3 years ago

What are the coordinates of the point obtained if the point A=(3,7) is rotated 180 degrees about the origin?

Mathematics

1 answer:

Yuliya22 [10]3 years ago

8 0

Answer:

B. (-3, -7)

Step-by-step explanation:

Anytime you rotate a number 180° about the origin, the numbers in the coordinates become their opposites.

-3 is the opposite of 3 and -7 is the opposite of 7.

Therefore, your new coordinates are (-3, -7)

(x,y) becomes (-x,-y)

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A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

$x_{max}=-b/2a$
$f(x)_{max}=f(x_{max})$

Since our function is A(L)=640L-2L², we get

a=-2
b=640

plug in the value of a and b into the first formula:

$L_{max}=-(640)/2(-2)\implies 160$

$A(L)_{max}=640(160)-2(160)^2\implies 76800$

hence,the dimensions of the pen that will maximize the area are L=160m and W=76800/160=480m

and we're done!

3 0

2 years ago

Which expression is equivalent to 5(2+7)? A. 2(5+7) B. 2+7(5) C. 5(2)+7 D. 5(2)+5(7)

Kipish [7]

Hope this helps but I this helps but I think the answer is D if not then try B

8 0

3 years ago

Read 2 more answers

Pls help if you only know the correct answer! Thanks! :)

LiRa [457]

Answer:

A. -3/5 B. 1/5. C. 0.8.

Step-by-step explanation:

Since A is on the left side of 0, it will be negative, in which -3/5 is the only negative answer on there, so A= -3/5. Since B is on the right side of the 0 it's positive, and it is equal to 1/5 which gets you to 0.20, which will be the value of each line since 1 divided by 5 is equal to 0.20. 0.8 is also known as 0.80 so C will be next to the 1.

3 0

2 years ago

The rate change of (3,0) and (0,9)

ddd [48]

Answer:

rate of change is -3

A = (9 - 0) / (0 - 3) = 9 / -3 = -3

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Line a passes through the points (-1,0) and (3,-8) what’s the slope?

konstantin123 [22]

Answer: 2

Step-by-step explanation:

(x1,y1) = (-1,0)

(x2,y2) = (3,8)

m = (8–0)/(3-(-1))

m = 8/(3+1)

m = 8/4

m = 2

8 0

2 years ago