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worty [1.4K]
2 years ago
13

Find the equation of the line passing through points (-4,2) and (1,-6)

Mathematics
1 answer:
anzhelika [568]2 years ago
8 0

Answer:

y + 6 = (-8/5)(x - 1) in point-slope form

Step-by-step explanation:

Moving from the 1st point to the first, we see that x (the 'run') increases by 5 from -4 to 1, and y (the 'rise') decreases by 8.  Thus, the slope of the line through these two points is m = rise / run = -8/5

Now we have two points on the line, plus the slope.  Let's write out the point-slope formula for the equation of a straight line:

y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.

Here, using the point (1, -6), we obtain:

y + 6 = (-8/5)(x - 1) in point-slope form

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In 5 minutes a conveyor belt moves 300 pounds of receyclable aluminum from the delievery truck a smaller belt moves the same qua
ladessa [460]

Answer:

It will take 3.214 minutes.

Step-by-step explanation:

<em>It is given that, the conveyor belt transports 300 cans in 5 mins and the smaller belt transports 300 cans in 9 minutes.</em>

Thus , the speed of conveyor belt is,

= \frac{300}{5} = 60 cans per minute

and of smaller belt is,

=  \frac{300}{9} = \frac{100}{3} cans per minute

Thus, when both are used together,

<em>conveyor belt will transport (60)(t) cans and smaller belt will transport ( \frac{100}{3})(t) cans per minute.</em>

Thus the equation becomes,

300 = (60)(t) + (\frac{100}{3})(t) = (\frac{280}{3})(t)

t = \frac{(300)(3)}{280} = \frac{45}{14} = 3.214 minutes

3 0
2 years ago
What is the volume of the prism?<br><br> 14 m3<br> 24 m3<br> 30 m3<br> 44 m
geniusboy [140]

Answer:

the answer is 24 m3

                                             

6 0
3 years ago
( 2 + 7 -14<br>Turn over​
Viefleur [7K]

Answer:

<h2>9</h2>

Step-by-step explanation:

2 + 7 - 14 flipped around =

14 - 7 + 2 =

7 + 2 =

9

<em>Hope that helps! :)</em>

<em></em>

<em>-Aphrodite</em>

4 0
3 years ago
HELP TIMED BRAINLIST
lesya692 [45]

Answer:

it's D

Step-by-step explanation:

You use distribute property, then add all like terms

3 0
2 years ago
Read 2 more answers
If f(x) = x over 2 + 8, what is f(x) when x = 10?
jeka57 [31]

Answer:

f(10) = 13

Step-by-step explanation:

f(x) = x/2 + 8

Let x = 10

f(10) = 10/2 +8

f(10) = 5+8

f(10) = 13

8 0
3 years ago
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