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guapka [62]
3 years ago
11

What is the distance between point G(−4, 1) and point H(−12, 1) ? would be (8)

Mathematics
1 answer:
Greeley [361]3 years ago
3 0

Answer:

Yes, the distance between the points would be 8

Step-by-step explanation:

Since the y is the same, you can just find the distance between 12 and 4

12-4=8

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Solve<br> 2(2x + 1) = 3(x - 4)
k0ka [10]

Step-by-step explanation:

2(2x + 1) = 3(x - 4)

4x+2=3x-12

4x-3x=--12-2

x=14

6 0
2 years ago
According to the National Postsecondary Student Aid Study conducted by the U.S. Department of Education in 2008, 62% of graduate
egoroff_w [7]

Answer:

    \frac{31}{50}

Step-by-step explanation:

percentage of graduates with loan = 62%

total sample = 50

Number of student in the sample with student loan

  = (percentage of graduates with loan) x  (total sample)

  = 62% x 50

  = 31

Proportion of student in the sample with student loan = \frac{31}{50}

4 0
3 years ago
What is the equation for the line in slope-intercept form?
masha68 [24]

Answer:

y=mx+b is slope-intercept form

where m is the slope and b is the y intercept.

Since the line crosses the y axis at 0,0 the intercept is +0 or just nothing.

now all we need to do is find the slope

to do that just go from the y intercept (the first point) y units up and x units over untill u cross at the next point. for examples from (0, 0) to (1, 8)-the next point- i need to go up 8 units up and 1 unit over. this is described as rise over run and that is your slope 8/1 rise/run. rise is how many units i go up (or down) from the y intercept until the next point that lies on the line and run is how far i need to go over from how many units i just went up. If u continue to go 8 up and 1 over from each point u will see that u get a point lying of the line. This is why 8/1 is your slope

8/1 is the slope and 0,0 is your y intercept so we put nothing

the equation is y=8x

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A castle is surrounded by a circular moat which is 5 m wide
Elanso [62]

Answer:

  1414 kL

Step-by-step explanation:

The volume of the donut-shaped moat is the product of its surface area and depth. The area is the product of its centerline length and its width.

<h3>Moat area</h3>

The diameter of the centerline of the moat is (50 m -5 m) = 45 m. The length of that centerline is ...

  C = πd = π(45 m) = 45π m

The area is this length times the width of the moat:

  moat area = (45π m)(5 m) = 225π m²

<h3>Moat volume</h3>

The volume is the product of the area and the depth of the moat:

  V = Ah = (225π m²)(2 m) = 450π m³ ≈ 1413.72 m³

1 cubic meter is 1000 liters, 1 kiloliter.

The volume of the moat is about 1414 kL.

5 0
1 year ago
In a line there are 338 people to ride the exciting roller coaster called the Slope. If the ratio of adults to
Irina18 [472]
78 to 338
Adults to children
78:338
78 over 338
4 0
2 years ago
Read 2 more answers
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