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Effectus [21]
3 years ago
14

Calculate the distance between the points K = (1, -1) and P=(9.-6) in the coordinate plane.

Mathematics
1 answer:
GarryVolchara [31]3 years ago
6 0

Answer:

√89

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(9 - 1)² + [-6 - (-1)]²

√(8)² + (-5)²

√64 + 25

√89

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Write the equation of a line that passes through the points in the table.
lord [1]

Answer: do it have a answer choice if it do then its B,C and e

Step-by-step explanation:

6 0
3 years ago
If Whitney wrote the decimal representations for the first 300 positive integer multiples of 5 and did not write any other numbe
fiasKO [112]

Answer:

201 times

Step-by-step explanation:

Since it's the first 300 positive integer multiples of 5, then the last integer will be: 300 × 5 = 1500

While the first is 5.

The sequence is like this;

5, 10, 15, 20, 25, 30, 35, .. 1500

Since for every 2 integers that are multiples of 5, 1 will include the digit 5, then it means that, number of times the unit place will have 5 is; 300/5 = 150 times

Now, between 5 and 100, the only value that has 5 in it's tense place is 50 & 55.

So for every 100 numbers, we have 2 times to write 5 in the tens place. Thus, for 1500 numbers, we will write 5 in the tens place: 1500/100 × 2 = 30 times

Now, for the hundreds place, from 500 and 600, we have 21 multiples of 5 inclusive of 500 and 600 but since we want the one that has 5 in the hundreds place, then it is 20 as they all start with 5 excluding 600.

Also, from 1000 to 1500, the only number that has 5 in its hundreds place is 1500.

Thus,total times 5 is written in the hundreds place = 21 times

Total number of times 5 is written = 150 + 30 + 21 = 201 times

5 0
3 years ago
I) 43x + 31y = 98<br> 31x + 43y = 50
Neko [114]

There are no solutions to the given system of equations.

Hope this helps.

4 0
3 years ago
Sally invests £8000 in a savings account. The account pays 2.8% compound interest per year work out the value of her investment
Alborosie

Answer: the value of her investment after 4 years is £8934.3

Step-by-step explanation:

The formula for determining compound interest is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount invested.

t represents the duration of the investment in years.

From the information given,

P = 8000

r = 2.8% = 2.8/100 = 0.028

n = 1 because it was compounded once in a year.

t = 4 years

Therefore,

A = 8000(1+0.028/1)^1 × 4

A = 8000(1+0.028)^4

A = 8000(1.028)^4

A = £8934.3 to the the nearest penny

6 0
3 years ago
Can SOMEONE HELP ME with this PLEASE!!!!
makkiz [27]

Answer:

12.4

Step-by-step explanation:

The distance between (7,21) and (-5,18)

d =sqrt( (-5-7)^2 + (18-21)^2)

  = sqrt(( -12)^2 + (-3)^2)

  = sqrt(144+9)

  = sqrt(153)

  =12.36931688

To the nearest tenth

12.4

6 0
3 years ago
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