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choli [55]
3 years ago
10

7. Write the equation of a line which passes through the points (-3,5) and (6,23)

Mathematics
1 answer:
faust18 [17]3 years ago
7 0

Answer:

answer to the equation is

y = 2x + 11

Step-by-step explanation:

y = mx + b

first find the slope of the line using the two points

slope \: m =  \frac{y2 - y1}{x2 - x1}  =  \frac{23 - 5}{6 - ( - 3)}   \\ =  \frac{18}{9}  \\ slope \: m = 2

substitute 2 for m and use one of the points for x and y and solve for b

5 = 2( - 3) + b \\ 5 =  - 6 + b \\ 5 + 6 = b \\ b = 11

Now that you found b, the y-intercept, you can substitute that into the equation for your line

y = 2x + 11

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A similar scale model of the motorcycle shown stands 3 inches high and is 6 inches long. How high does the actual motorcycle sta
Thepotemich [5.8K]

Answer:

48 in.

Step-by-step explanation:

Scales are based on proportions. The proportion in this scenario is:

96/6 = x/3

Cross multiply. You are left with the equation:

96x3 = 6x

Simplify.

288 = 6x

288/6 = x

48 = x

Hope this helps :)

6 0
3 years ago
Express the polar coordinates (-1, 180) as Cartesian coordinates.
Mashcka [7]
Answer: The correct point is (1, 0)

In polar coordinates, the first number is the distance from the origin in any direction. The second number is an angle measurement that tells us the direction to go from the origin.

Therefore, we have to move -1 one unit (or backwards) from the origin. Now, all we need to know is the direction to move.

The second number is 180, so we make an angle of 180 degrees and move in that direction.

But where do we start?

We always start from the origin straight right along the x-axis. That is degrees 0. So a 180 degree angle would move us left along the x-axis. But remember, we are moving back 1 space, so we will end up at (1, 0).
6 0
3 years ago
What is 1 6\10+ 5 2\10(what is 6\8- 2 4\8)what is 6 6\10- 4 4\10​
padilas [110]

Answer:

what is 1 6/10+5 2/10

=16/10 + 52/10 =

<u>16+52   =  68</u>

10              10

6/8-24/8

=6/8-20/8

<u>6-20 =  14</u>

8           8

6 6/10- 4 4/10

=<u>66-44 = 22</u>

10           10

Step-by-step explanation:

1/ if the fraction is mixed number example 2 1/7, it will be 2x7+1 and that will be 15 over 7

2/and if the bottom number example: 2 1/7, 7 is the bottom number and if 2 1/3 (3 is the bottom number) then see what the bottom number have in common example: 7-x1=7

7x2=14

7x3=21

3x1=3

3x2=6

3x3=9

3x4=12

3x5=15

3x6=18

3x7=21

so 21 is 7 and 3 have in common so the bottom number which is now 21 will divide 7 and got 3 and 3 will go on the top number 1 and 21 divide 3 which is 7 will go on the top number 1 and you continue to add your sum or subtract understand or not

4 0
3 years ago
The rocket goes up and it does not come down w: the rocket goes up z: the rocket comes down
ehidna [41]

Answer:

w

Step-by-step explanation:

if the rocket does not come down, then it stays up.

6 0
3 years ago
Solve 2x+4 so that it has one solution
natima [27]

Answer:

-2

Step-by-step explanation:

We can set it equal to zero

2x+4 = 0

2x =-4

x = -2

7 0
3 years ago
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