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saw5 [17]
3 years ago
12

Find the midpoint of the line segment with end coordinates of: (-3,-1) and (-4,2)

Mathematics
1 answer:
fgiga [73]3 years ago
3 0

Answer:

(- 3.5, 0.5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( \frac{x_{1}+x_{2}  }{2}, \frac{y_{1}+y_{2}  }{2} )

Here (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (- 4, 2) , then

midpoint = ( \frac{-3-4}{2}, \frac{-1+2}{2} ) = ( \frac{-7}{2}, \frac{1}{2} ) = (- 3.5, 0.5 )

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Two workers, a trainer and a trainee, working together can do a job in 3 hours. The trainer is 3 times faster than the trainee t
Flauer [41]

Answer:

4 hours

Step-by-step explanation:

Ratio of working together

Job : number of hours

1 : 3 = 1/3

Trainer

Job : number of hours

1 : x = 1/x

Trainee

Job : number of hours

1 : 3x = 1/3x

1/x + 1/3x = 1/3

Multiply through by 3x

3x(1/x) + 3x(1/3x) = 3x(1/3)

3 + 1 = x

4 = x

x = 4 hours

It takes the trainee 4 hours to finish the job

4 0
3 years ago
I need to know the answer
guapka [62]
If you find the least common multiple of both numbers, this will give you the information you will need to get your answer.  Each revolution would include all teeth going around. The list of multiples for 24 are 24, 48, 72, 96, 120.  The list for 40 are 40, 80, 120.  This means at 120, they would be in the same place again.  For the first gear to get to 120, it would take 5 rotations the fifth number in the list of multiples for 24).  I hope this helps!
8 0
3 years ago
How to write twice the sum of a number and 9 equals 7 ?
Rufina [12.5K]
2(x+9)=7
If you wanted to simplify;
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7 0
3 years ago
Given y = 4x + 3, what effect does changing the equation to y = 4x - 3 have on the y-intercept?
Art [367]

Answer:

The y-intercept changes from (0, 3) to (0, -3)

Step-by-step explanation:

The y-intercept refers to the point where the graph of a function crosses or intersects with the y-axis. At this point, the value of x is usually 0.

Substitute x = 0 in both equations to determine how the y-intercept changes;

The original equation is given as y = 4x + 3,

when x = 0; y = 4(0) + 3 = 3

The y-intercept is thus (0, 3)

The new equation is given as y = 4x - 3

when x = 0; y = 4(0) - 3 = -3

The y-intercept is thus (0, -3)

Therefore, the y-intercept changes from (0, 3) to (0, -3)

3 0
4 years ago
I need help with these
tia_tia [17]

Answer:

Step-by-step explanation:

5)               -7 (-15w + 21) + 3(18 - 27w)

Step 2:        105w - 81w - 147 + 54

6)      

step 3:       24w - 93

7 0
3 years ago
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