What is the slope of the line that contains the points (5, 5) and (8, 3)?
a. b.
c. d.

Answers

Answer 1
Answer: slope=rise/run
changy/changx
slope=(y2-y1)/(x2-x1)

(5,5) and (8,3)
slope=(3-5)/(8-5)=-2/3

slope=-2/3

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The Great Pyramid of Giza was constructed as a regular pyramid with a square base. It was built with an approximate volume of 2592276 cubic meters and a height of 146.5 meters. What was the length of one side of its base, to the nearest meter?

Answers

volume of a square-based pyramid = base edge^2 * height/3
so:
2,592,276 = base edge^2 * 146.5/3; therefore the base edge is approximately 230.4m

Show that (4-√3)(4+√3)/√13 simplifies to root 13

Answers

13 is a prime number, there is no simpler form for its square root .

- Are Figure A and Figure B congruent? If so,describe a composition of rigid motions that
maps Figure A to Figure B. If not, explain.
Figure A
Figure B

Answers

Yes, they are congruent. (congruent means they're the same shape and size!)

A rotation of 180 degrees should be a motion that maps A onto B. Or vice versa.

Hope this helped! Have a lovely day!

On the distant planet Cowabunga, the weights of cows have a normal distribution with a mean of 483 pounds and a standard deviation of 70 pounds. The cow transport truck holds 5 cows and can hold a maximum weight of 2840. If 5 cows are randomly selected from the very large herd to go on the truck, what is the probability their total weight will be over the maximum allowed of 2840

Answers

Answer: 0.0033

Step-by-step explanation:

Let x be a random variable that denotes the weights of cows.

Given: \mu = 483,\ \sigma=70

maximum weight can be hold= 2840 pounds.

Mean weight = (2840)/(5) = 568 pounds

The probability their total weight will be over the maximum allowed of 2840

= P(X>2840)

P((x-\mu)/((\sigma)/(√(n)))>(568-483)/((70)/(√(5))))\n\n=P(z>2.715)\n\n=1-P(z<2.715)\n\n=1-0.9967=0.0033

Hence, the required probability = 0.0033

(3x3 + 4r) + (3.23 – 42° – 9x) =

Answers

Answer:

12.23+4r-42°-9x

What is the value of k in the function ƒ(x) = 112 - kx if ƒ(-3) = 121?

Answers

I hope this helps you