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masha68 [24]
2 years ago
8

Find the slope of the line that contains the points (-5, 3) and (-1, -5).

Mathematics
1 answer:
My name is Ann [436]2 years ago
3 0
Slope of the line
(3-(-5)) / (-5-(-1))
8 / -4
-2
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The answer is n= 7.75.
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Two cars which are 40 miles apart start moving simultaneously in the same direction with constant speeds. If the speed of the ca
IgorC [24]

Answer:

5mph

Step-by-step explanation:

Given that two cars are 40 miles apart at the beginning.

They started at the same time with speeds 48 mph and 56 mph respectively

Since both cars are travelling in the same direction,

Relative velocity = Speed of the behind car-Speed of the first car

=56-48 =8mph

To catch the I car, the second car has to travel a distance of 40 miles extra in the same time as the I car

i.e. speed to be made up by the second car = 40 miles

Relative velocity per hour              = 8mph

Hence time taken to catch up = \frac{40}{8} =5mph

8 0
3 years ago
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Paraphin [41]

Answer:

la a

Step-by-step explanation:

espero que te sirva

6 0
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For what value of a does (1/9)a+1 =81a+1 272-a?
AlexFokin [52]

Answer:

-4

Step-by-step explanation:

\left( \dfrac{1}{9}\right)^{a+1}= 81^{a+1}\cdot 27^{2-a}\\\\\\(3^{-2})^{a+1}=(3^4)^{a+1}\cdot (3^3)^{2-a} \\\\\\3^{-2a-2}=3^{4a+4}\cdot 3^{6-3a} \\\\\\3^{-2a-2}=3^{a+10} \\\\\\-2a-2=a+10 \\\\\\-3a=12 \\\\\\a=-4

Hope this helps!

8 0
2 years ago
calculate the distance between the points E=(-1,-5) and F=(-8,1) in the coordinate plane. Give an exact answer (not a decimal ap
Elena L [17]

Answer:

The answer is

<h2>\sqrt{85}  \:  \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x_1 - x_2})^{2} +  ({y_1 - y_2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

E(-1,-5) and F(-8,1)

The distance between them is

|EF|  =  \sqrt{ ({ - 1 + 8})^{2}  +  ({ - 5 - 1})^{2} }  \\  =  \sqrt{ {7}^{2}  +  ({ - 6})^{2} }  \\  =  \sqrt{49 + 36}  \:  \:  \:  \:  \:  \:  \:  \\  =  \sqrt{85}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

We have the final answer as

\sqrt{85}  \:  \:  \:  \: units

Hope this helps you

7 0
3 years ago
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