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Genrish500 [490]
3 years ago
12

A line passes throught the point (-4,7) and has a slope of 2/3. Write an equation in point slope form for this line.

Mathematics
1 answer:
NikAS [45]3 years ago
8 0
Equation in point slope form of a line:
y-y₀=m(x-x₀)
m=slope

(x₀,y₀)=(-4,7)
m=2/3
y-7=(2/3)(x+4)

Answer: y-7=(2/3)(x+4) 

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One student can paint a wall in 16 minutes. Another student can paint the same wall in 24 minutes. Working together, about how l
Mazyrski [523]
Let's look at work rates per minute.

Together they can paint the wall in x minutes.
Working together, in 1 minute, they do 1/x of the job.

The student who paints the wall in 16 minutes does 1/16 of the job in 1 minute.
The student who paints the wall in 24 minutes does 1/24 of the job in 1 minute.
Together, they do 1/16 + 1/24 of the job in 1 minute, but from above, we see that together, they do 1/x of the job in 1 minute, so 1/16 + 1/24 must equal 1/x. That gives us our equation.

1/16 + 1/24 = 1/x

1/16 * 3/3 + 1/24 * 2/2 = 1/x

3/48 + 2/48 = 1/x

5/48 = 1/x

x = 48/5 = 9.6

Answer: It takes them 9.6 minutes, or about 10 minutes to do the job together.


5 0
3 years ago
Indicate in standard form the equation of the line passing through the given point and having the given slope. R(4,0), m=5
liberstina [14]
First you put the equation in point slope form- Y-0= 5x - 4
Then add the zero to the 4.
Final answer: y= 5x -4
7 0
3 years ago
PLEASEEE HELP ME WITH THIA ASAPP
alexira [117]

Answer:

40

Step-by-step explanation:

to convert into radian measure, multiply by π/180

40 x π/10

4 0
3 years ago
Read 2 more answers
John has 14 boxes of apples. Each box holds 10 apples. If 8 of the boxes are full, and 6 of the boxes are half full, how many ap
cestrela7 [59]
The 8 full boxes have 80 apples (8x10) and the 6 half boxes have 30 apples (6x5).
So: 80+30=110
7 0
3 years ago
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Harlamova29_29 [7]

Answer:

83.33% change

Check work:

30 x 0.8333 = 24.999

30 + 24.999 = 54.999 or about 55

8 0
2 years ago
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