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2 years ago

what is the slope of the line that passes thought the points (4,-6) and (-2,3)? write your answer on simplest form.

Mathematics

1 answer:

Wittaler [7]2 years ago

5 0

Step-by-step explanation:

$\frac{y - y0}{x - x0} \\ \frac{ - 6 - 3}{ 4 + 2} \\ - \frac{9}{6} = - \frac{3}{2} = 1.5$

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When Klorina swims with the current, she swims 10 km in 2 h. Against the current, she can swim only 8 km in the same time. How f

nasty-shy [4]

Answer:

Klorina's rate in still water is 4.5 km/h

Current's rate is 0.5 km/h

Step-by-step explanation:

Let

x km/h = Klorina's rate in still water

y km/h = current's rate

With the current (current helps):

Distance = 10 km

Time = 2 hours

Rate = x + y km/h

$10=2(x+y)$

Against the current:

Distance = 8 km

Time = 2 hours

Rate = x - y km/h

$8=2(x-y)$

Divide both equations by 2:

$x+y=5\\ \\x-y=4$

Add these equations:

$x+y+x-y=5+4\\ \\2x=9\\ \\x=4.5\ km/h$

Subtract these two equations:

$(x+y)-(x-y)=5-4\\ \\x+y-x+y=1\\ \\2y=1\\ \\y=0.5\ km/h$

4 0

3 years ago

A map show a town with an area of 3.5 inches.If the map has a scale of 1 inch:4 miles,what is the actual area of the town?

cestrela7 [59]

Answer:

The actual area of the town is 14 miles.

Step-by-step explanation:

Since you know that the scale is 1 inch:4 miles and that the map shows a town with an area of 3.5 inches, you can expressed this as follows:

Scale: 1 inch:4 miles

map area: 3.5 inches

If the actual area is x, you can say that:

3.5:x=1:4

This would be:

$\frac{3.5}{x}=\frac{1}{4}$

Now, you can solve for x:

x=(3.5*4)/1

x=14

According to this, the answer is that the actual area of the town is 14 miles.

7 0

3 years ago

12 + 2(x + 6) - 8 = 26

Kisachek [45]

Answer: x=5

Step-by-step e

6 0

2 years ago

A coffee shop orders at most $3,500 worth of coffee and tea. The shop needs to make a profit of at least $1,900 on the order. Th

o-na [289]

Answer:

Which graph's shaded region represents the possible combinations of coffee and tea for this order?

3 0

3 years ago

Read 2 more answers

Answer the following equations:

Andrew [12]

Step-by-step explanation:

3(t+5) = 9

3t+15 = 9

3t = -6

t = -2

2(f-7) = -10

2f - 14 = -10

2f = 4

f = 2

-(c - 9) = 4

-c + 9 = 4

-c = -5

c = 5

-6(2t + 8) = -84

-12t - 48 = -84

-12t = -36

12t = 36

t = 3

-10 (s + 2) = -57

-10s - 20 = -57

-10s = -37

s = 3.7

7(3w + 8)/3 = -9

By cross multiplication,

7(3w + 8) = -27

21w + 56 = -27

21w = -83

w = -3.95

35/5 = (F - 32)/9

7 = (F - 32)/9

By cross multiplication,

63 = F - 32

63 + 32 = F

95 = F

Hope it helps.

7 0

2 years ago

what is the slope of the line that passes thought the points (4,-6) and (-2,3)? write your answer on simplest form.​

what is the slope of the line that passes thought the points (4,-6) and (-2,3)? write your answer on simplest form.