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2 years ago

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

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IrinaK [193]

Answer:

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

Step-by-step explanation:

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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