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nirvana33 [79]
2 years ago
7

Write an equation of the line that passes through each pair of points (- 2, - 3), (4, 5)

Mathematics
1 answer:
lisabon 2012 [21]2 years ago
4 0

Answer:

y= 4/3x -1/3

Step-by-step explanation:

Find slope: y2-y1/x2-x1 = 5-(-3)/4-(-2) = 8/6 = 4/3

Use point slope to find the equation:

y - y1 = m ( x - x1 )

y - (-3) = 4/3 ( x - (-2))

y = 4/3x + 8/3 + (-3)

y = 4/3x + 8/3 - 9/3

y= 4/3x -1/3

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It takes 54 minutes for 4 people to paint 6 walls. How many minuets does it take 6 people to paint 7 walls?
earnstyle [38]

It takes 42 minutes for 6 people to paint 7 walls

<em><u>Solution:</u></em>

It takes 54 minutes for 4 people to paint 6 walls

To find: Minutes required for 6 people to paint 7 walls

If M_1 men can do W_1 work in D_1 days working H_1 hours per day and M_2 men can do W_2 work in D_2 days working H_2 hours per day, then

\frac{M_1D_1H_1}{W_1} = \frac{M_2D_2H_2}{W_2}

M = Number of men

D = Number of days

H = Number of hours per day

W = Amount of work

Here in this sum,

<em><u>54 minutes for 4 people to paint 6 walls</u></em>

H_1 = 54 minutes ; M_1 = 4 people ; W_1 = 6 walls

<em><u>Minutes required for 6 people to paint 7 walls</u></em>

H_2 = ? ; M_2 = 6 people ; W_2 = 7 walls

<em><u>Substituting the values in formula, we get</u></em>

\frac{54 \times 4}{6} = \frac{H_2 \times 6}{7}\\\\9 \times 4 = \frac{H_2 \times 6}{7}\\\\H_2 = \frac{36 \times 7}{6}\\\\H_2 = 42

Thus it takes 42 minutes for 6 people to paint 7 walls

7 0
3 years ago
66) A farmhouse shelters 13 animals. Some are cows and some are chickens. Altogether there are 38
yuradex [85]

Answer:

9 cows and 1 chicken ( plz help me)

Step-by-step explanation:

6 0
3 years ago
Simplify and evaluate<br><br> (6)(2^3)^2 / (2^2)^2
sveticcg [70]

Simplify and evaluate

(6)(2^3)^2 = 384

(2^2)^2 = 16

5 0
2 years ago
A circle with radius 3 has a sector with a central angle of 60.<br> What is the area of the sector?
CaHeK987 [17]

Answer:

Sector area = (central angle / 360) * PI * radius^2

Sector area = (1/6) * PI * 3^2

Sector area = 9/6 * PI

Sector area = 4.7123889804

Step-by-step explanation:

6 0
3 years ago
How many hours is this flight: Departure Dallas, TX 8:30 am Arrival Chicago, IL 10:30 am
GenaCL600 [577]

Answer:

2\ hours

Step-by-step explanation:

To know the hours of flight, subtract the departure time from the arrival time

so

(10:30 am-8:30 am)=2\ hours

Remember that Chicago and Dallas are in the same time zone


8 0
3 years ago
Read 2 more answers
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