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Elis [28]
3 years ago
8

Find XY if X(0, -7) and Y(-3, 2). d =

Mathematics
1 answer:
guapka [62]3 years ago
7 0

9514 1404 393

Answer:

  d = 3√10 ≈ 9.487

Step-by-step explanation:

The distance formula is appropriate.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  d = √((-3 -0)^2 +(2 -(-7))^2) = √(9 +81) = √90

  d = 3√10

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Kevin drove for 4 hours and then stopped to eat dinner. The total distance he had driven at different time intervals is shown on
natta225 [31]

Answer:

If you want a simple average, you can add all the speeds you see and divide them by the number of how many they are.  

So firstly you have to calculate the speed of the first point, which is:  

20 miles/0.5 hour

That means: 40 miles/hour

That would be your first "speed"

Then you calculate all of them :speed1+speed2+speed3 = something.  

As an example: 20miles/hr + 40miles/hr+0miles/hr = 60miles/hr

Then, you divide it by how many "speeds" they are: 60miles/hr divided by 3 if I continue my previous example.

It is my first answer, and I hope I could help you a bit!

Sorry for the awkward English, as it is not my mother tongue.

Step-by-step explanation:

8 0
3 years ago
A church building fund has invested some money in two ways: part of the money at 7% interest and four times as much at 11%. Find
aliya0001 [1]

Answer: he invested $15000 in part 1 and $60000 in part 2

Step-by-step explanation:

Let x represent the amount of money invested in part one.

Let 4x represent the amount of money invested in part 2 .

Total amount of money invested in part 1 and part 2 is

x + 4x = 5x

The formula for simple interest is expressed as

I = PRT/100

Where

P is the principal or initial amount.

T is the duration in years

R is the number rate.

For part 1

R = 7%

T = 1 year

P = x

I = (x × 7 × 1)/100 = 0.07x

For part 2,

R = 11%

T = 1 year

P = 4x

I = (4x × 11 × 1)/100 = 0.44x

if the total annual income from interest is 7650. This means that

0.44x + 0.07x = 7650 - - - - - - - -2

0.51x = 7650

x = 7650/0.51

x = 15000

Amount invested in part 1 is $15000

Amount invested in part 2 is 4×15000 = $60000

4 0
3 years ago
When is it better to use a $20 off coupon? When is it better to use a 20% coupon? *
jasenka [17]

It It better to use a $20 off coupon on small items, and a 20% off coupon on bigger items to get much more money off of your purchase

6 0
3 years ago
Jane is taking two courses. The probability she passes the first course is 0.7. The probability she passes the second course is
-Dominant- [34]

Answer: p = 0.56

Step-by-step explanation: from the question, probability she passed the first course = 0.7

Probability she passed the second course = 0.8

Probability she passes both courses means probability she passes the first course "and" probability she passes the second course.

Probability she pass both courses = 0.7 * 0.8 = 0.56

Note that "and" in probability means multiplication.

4 0
4 years ago
Jordon will play a triangle at his school’s music program. As its name suggests, the musical instrument is shaped like a triangl
guajiro [1.7K]

Answer:

A. AB

Step-by-step explanation:

Given that the musical instrument has a shape of ∆ABC, we can determine the shortest side that would be parallel to the ground by comparison of the 3 angles of the triangle corresponding to each side that is opposite each of them.

What this means is that, the larger angle would have the largest side opposite it. The medium angle will have medium length side opposite it, while the smallest angle will have the smallest side opposite it.

m < A = 59°

m < C = 57°

m < C = 180 - (59+57) (sum of angles in a triangle)

m < C = 64°

The smallest angle out of the three angles is angle C = 57°.

The side opposite it, is side AB.

Side AB is the shortest side of ∆ABC.

Therefore, AB should be parallel to the ground.

6 0
3 years ago
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