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diamong [38]
3 years ago
5

What is the location of the point on the number line that is 3/5 of the way from a=2 to b=17

Mathematics
1 answer:
makkiz [27]3 years ago
4 0

Answer:

11

Step-by-step explanation:

The distance that a is to b is b-a=17-2=15.

The line segment from a=2 to b=17 has length 15.

We need to know what is 3/5 of 15.

3/5 of 15 means what is 3/5 times 15?

(3/5)(15)=3(3)=9

So this means we are looking to make a line segment that is 9 units from 2 which is 2 to 11.

So 11 is 3/5 the way from a=2 to b=17.

Let's check from 2 to 11 that is a length of 9 and from 2 to 17 that is a length of 15.

Is 9/15 equal to 3/5?

Yes, 9/15 can be reduced to 3/5.

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Slope = 4/3, (-2, 11)
Lady_Fox [76]

Answer:

y = \frac{4}{3} x + \frac{41}{3}

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = \frac{4}{3}, hence

y = \frac{4}{3} x + c ← is the partial equation

to find c substitute (- 2, 11) into the partial equation

11 = - \frac{8}{3} + c ⇒ c = \frac{41}{3}

y = \frac{4}{3} x + \frac{41}{3} ← equation of line


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3 years ago
Josh has a savings account at a bank that charges a $10 fee for every month his balance falls below $1,000. What will his balanc
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3 years ago
How do u solve 94=y/4-18. What do get for y.
Alexus [3.1K]
94=y/4-18
first you would +18 on each side with a result of 112=y/4 then you would x4 on each side with an end result of 448=y

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3 0
2 years ago
Which equation represents the line that passes through the points (2, 4) and (1, -3)?
zhannawk [14.2K]

Answer:

y = 7x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

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

m = \frac{-3-4}{1-2} = \frac{-7}{-1} = 7, thus

y = 7x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 4), then

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y = 7x - 10 ← equation of line

6 0
3 years ago
Please help me with this problem
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(a) It is leaking 18 liters per minute.

Explanation : From 15 minutes to 20 minutes, your starting point at 15 is 590 liters and at 20 you have exactly 500. Next you have 25 which is now at 410. So it's leaking 90 liters every five minutes, so of course dividing the two (90 ÷ 5) you get 18.

(a)² it increases for about the same time that it would decrease of course.

(b) The vat started at 860 liters before they started draining it.

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