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2 years ago

Determine the distance between the points (2,7) and (-4,15)

Mathematics

1 answer:

Nikolay [14]2 years ago

4 0

Answer:

option C

Step-by-step explanation:

$distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

$=\sqrt{(-4-2)^2+(15-7)^2} \\\\=\sqrt{(-6)^2 + 8^2}\\\\=\sqrt{36 + 64 }\\\\= \sqrt{100} \\\\= 10$

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3 years ago

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1 year ago

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2 years ago

In only three days the temperature dropped by 24 degrees.How many degrees per day did the temperature drop?

yan [13]

Answer: 8° per day.

Step-by-step explanation:

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3 years ago

I need to understand question 14 and 15 and the last one cut off for tens in one

sp2606 [1]

Question # 14

Given the numbers

10 11 12 13 14 15 16 17 18 19 20

Let 'x' be the number

The condition breakdown:

I am less than 20.

So the number 'x' must be less than 20 i.e. x < 20

I am more than 13.

So the number 'x' must be greater than 13 i.e. x > 13

I am less than 17.

So the number 'x' must be less than 17 i.e. x < 17

Finally:

I am 4 more than 12

i.e. 12+4 = 16

Thus, the number is x = 16

Question # 15

Part a)

Given the numbers

10 11 12 13 14 15 16 17 18 19 20

Let 'x' be the number

The condition breakdown:

I am more than 10.

x > 10

I am less than 20.

x < 20

I am more than 12.

x > 12

I am less than 15.

x < 15

As the numbers left after all the conditions are fulfilled are 13 and 14.

But the last condition is, of the numbers that left, the number is greater than all the remaining numbers.

So, from the remaining number 13 and 14;

14 > 13

Thus, the number x = 14

Part b)

Drawing the number 14 in the place value:

Chart

Tens Ones

1 4

6 0

3 years ago