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Anna [14]
2 years ago
6

What is the distance between the points (4, -2) and (-1, 10)?

Mathematics
1 answer:
Tju [1.3M]2 years ago
5 0

Answer:

13 units.

Step-by-step explanation:

We can find distance between points by using the following formula:

\sqrt{(change in x)^2+(changeiny)^2}

The change in x is -5, and change in y is 12. Let's apply this to the formula.

\sqrt{(-5)^2+(12)^2}. Evaluate this, and we get 13.

Hope this helped!

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A 40​-foot piece of siding is cut into three pieces so that the second piece is four times as long as the first piece and the th
xeze [42]

Answer:

4 ft , 16 ft & 20 ft

Step-by-step explanation:

40 = x + 4x + 5x = 10x --> x = 4

3 0
2 years ago
Write it as a product: -<img src="https://tex.z-dn.net/?f=ax%5E%7B6%7D" id="TexFormula1" title="ax^{6}" alt="ax^{6}" align="absm
IrinaK [193]

Answer:

\frac{-abx^{6}+1 }{b}

Step-by-step explanation:

4 0
2 years ago
A friend asks to borrow $250 for 18 months and agrees to pay 12% annual simple interest. How much interest will you earn? Round
german

Answer: $29.70

Step-by-step explanation:

250 times the annual interest (12%) is converted to 250 times .12 = 29.70

7 0
3 years ago
In a recent year, the population of California was about 2.52 x 10^7 people. Its land area is about 4.05 x 10^5 km^2. What was t
andrezito [222]

The population of California = 2.52 \times 10^7 people.

Land area of California = 4.05 \times 10^5km^2.

We have to determine the average number of people per square kilometer.

Average number of people per square kilometer =

Land area of California \div Population of California

= 4.05 \times 10^5 \div 2.52 \times 10^7

= 1.6 \times 10^{-2}

Therefore, the average number of people per square kilometer is  1.6 \times 10^{-2}.

It is represented in scientific notation as Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

4 0
3 years ago
8 numbers have a sum of 90. Whats the average number?
ehidna [41]

Answer:

\huge\boxed{11.25}

Step-by-step explanation:

When finding the average of a set of numbers, we

  • A) Add up all the numbers
  • B) Divide that sum by the total number of numbers in the data set

Let's represent this with a formula, s being the sum of all numbers, n being the total number of numbers.

\frac{s}{n}

Since we <u>already know the sum</u> and we <u>know how many numbers there are</u> (8), we can substitute inside our expression \frac{s}{n} to find the average.

  • \frac{90}{8}
  • 11.25

Therefore, the average of all these numbers is 11.25.

Hope this helped!

4 0
3 years ago
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