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LUCKY_DIMON [66]
3 years ago
8

If LN = 6x - 5, LM = x + 7, and MN = 3x + 20, find MN

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
5 0

Answer:

68

Step-by-step explanation:

LM   +    MN     =   LN

x + 7  + 3x + 20 = 6x - 5

           4x + 27 = 6x - 5

          -4x         -4x      

                   27 = 2x - 5

                    +5        +5

                   32  = 2x

                   ÷2   ÷2    

                    16 = x

MN: 3x + 20

      3(16) + 20

        48   + 20

              68

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A line passes through the points (2,4) and (5,6) .
Alenkinab [10]

Answer:

Option B and D are correct.

Step-by-step explanation:

Given: A line passes through the points (2,4) and (5,6).

* Case 1:

If a line passes through the points (2, 4) and (5, 6)

Point slope intercept form:

for any two points (x_1,y_1) and (x_2, y_2)

then the general form y -y_1=m(x-x_1) for linear equations where m is the slope given by:

m =\frac{y_2-y_1}{x_2-x_1}

First calculate slope for the points (2, 4) and (5, 6);

m = \frac{y_2-y_1}{x_2-x_1} =\frac{6-4}{5-2} = \frac{2}{3}

then, by point slope intercept form;

y-4=\frac{2}{3}(x-2)

* Case 2:

If a line passes through the points (5, 6) and (2, 4)

First calculate slope for the points (5, 6) and (2, 4);

m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-6}{2-5} = \frac{-2}{-3}= \frac{2}{3}

then, by point slope intercept form;

y-6=\frac{2}{3}(x-5)

Yes, the only equation of line from the given options  which describes the given line are;

y-4=\frac{2}{3}(x-2)  and y-6=\frac{2}{3}(x-5)



8 0
3 years ago
.<br> Solve for x:<br><br> 2% of x = 17<br><br> a 34<br><br> b 8.5<br><br> c 85<br><br> d 850
blsea [12.9K]

Answer:850

Step-by-step explanation:

To find this 2% of x= 17

2/100×x=17

2x/100=17

2x=1700

x=850

4 0
3 years ago
Pls show work or at least explain its essy but i need help
Hatshy [7]

Answer: I think its D

Step-by-step explanation: If im right plz give brainliest

4 0
3 years ago
Suppose 72 gallons of water came out of a pipe in 8 minutes.
Masteriza [31]

Answer:

9 gallons of water per minute

Step-by-step explanation:

First identify what you know:

1) The pipe was flowing water for eight minutes.

2) In that eight minutes, 72 gallons of water came out.

So, if 72 gallons of water came out in eight minutes, how many gallons flowed out in a single minute? Well, assuming that the flow rate was consistent, then simply divide the total number of gallons that flowed out, by the number of minutes the pipe was open!

72/8 = 9

The pipe released 9 gallons of water per minute, thus resulting in 72 gallons of water in 8 minutes!

Hope this helps! :)

4 0
3 years ago
I need help with number 16 please and fast because it's due tomorrow. :)
solniwko [45]
Im gonna take an educated guess on this. for the first part only one element has an outershell filled completely. but if they want two elements put chlorine. to lose electrons is probably helium to gain is magnesium. and the last one is lithium and helium because they're small and don't have allot of atomic mass
4 0
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