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Volgvan
3 years ago
6

Find the slope of the line that passes through (42, -74) and (70, -80).

Mathematics
1 answer:
PolarNik [594]3 years ago
7 0
- 3/14 is your final answer.
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4.89; 4.089; 4.870; 4.881 - Put these in order from least to greatest. Your answer​
motikmotik
Answer: 4.089; 4.870; 4.881; 4.89
3 0
3 years ago
Read 2 more answers
I need help on 12, I don't know how to make that an expression! Thanks! Please explain!
exis [7]
A rug maker is using a pattern that is a rectangle with a length of 96 inches and a width of 60 inches. The rug maker wants to increase each dimension by a different amount. Let l and w be the increases in the length and width. Write and simplify an expression for the perimeter of the new pattern.

p=2(96+l)+2(60+w)
This is the equation. p is for perimeter. (96+l) represents the original length plus the change in length. The 2 before (96+l) represents that there is one length on each side of the rectangle.
Same for the width. (60+w) represents the original width plus the change in width. The 2 before (60+w) represents that there is one width on each side of the rectangle.
The simplified equation is p=(192+2l)+(120+2w) (this is your answer)

I hope this helps!

3 0
3 years ago
The speed limit on a road in Canada is 70 kilometers per hour. What is this speed in miles per hour? Round your answer to the ne
Marina CMI [18]

Answer:

43 miles/hr

Step-by-step explanation:

Use a conversion factor from km to miles while keeping track of your units:

70 km/hr x 0.62 miles/km = 43 miles/hr

4 0
3 years ago
Jason leaves Detroit at 2:00 PM and drives at a constant speed west along I-96. He passes Ann Arbor, 40 mi from Detroit, at 2:50
Vladimir [108]

Answer:

d = 48t will represent the distance 'd' traveled in 't' hours.

Step-by-step explanation:

Jason leaves Detroit at 2:00 PM and passes through Ann Arbor at 2:50 PM which is 40 mi distant from Detroit.

Speed during this journey was constant.

Jason traveled 40 mi in 50 minutes or \frac{5}{6} hours from Detroit to Ann Arbor.

By the formula,

Speed = \frac{\text{Distance traveled }}{\text{Time taken to travel this distance}}

Speed = \frac{40}{\frac{5}{6}}

           = 48 mi per hour

If he travels 'd' miles in 't' hours then by the formula of speed,

48 = \frac{d}{t}

d = 48t

7 0
3 years ago
Find the volume of the following solid. The solid between the cylinder ​f(x,y)equals=e Superscript negative xe−x and the region
PilotLPTM [1.2K]

It is hard to comprehend your question. As far as I understand:

f(x,y) = e^(-x)

Find the volume over region R = {(x,y): 0<=x<=ln(6), -6<=y <= 6}.

That is all I understood. It would be easier to understand with a picture or some kind of visual aid.

Anyways, to find the volume between the surface and your rectangular region R, we must evaluate a double integral of f on the region R.

\iint_{R}^{ } e^{-x}dA=\int_{-6}^{6} \int_{0}^{ln(6)} e^{-x}dx dy

Now evaluate,

\int_{0}^{ln(6)}e^{-x}dx

which evaluates to,  5/6 if I did the math correct. Correct me if I am wrong.

Now integrate this w.r.t. y:

\int_{-6}^{6}\frac{5}{6}dy = 10

So,

\iint_{R}^{ } e^{-x}dA=\int_{-6}^{6} \int_{0}^{ln(6)} e^{-x}dx dy = 10

7 0
3 years ago
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