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4 years ago

13

Find the distance between the points. (-3,2) and (3,2)

2 answers:

lubasha [3.4K]4 years ago

7 0

Answer:

6

Step-by-step explanation

jenyasd209 [6]4 years ago

4 0

If the line is linear, you can form a right triangle. If you subtract the initial values from the final, you’ll get the change in y and the change in x. That’s essentially the formula for displacement. Then to find the hypotenuse, you have to sum the squares and then take the square root of that. That’s straight from Pythagorean’s theorem.
Find the displacement of y:
2 - 2 = 0
Find the displacement of x:
3 - (-3) = 6

sqrt of 6^2 + 0^2 is just the sqrt of 36 which is 6

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Explain how to compute 3/4 x 4/5 using one diagram.

Drupady [299]

Answer:

The simplified form of given expression is 3/5.

Step-by-step explanation:

The given expression is

$\frac{3}{4}\times \frac{4}{5}$

We need to find the product of two factions using diagram.

For 3/4, draw a box and divide it in 4 equal parts by using vertical lines. The color three parts of it.

For 4/5, draw a box and divide it in 5 equal parts by using horizontal lines. Then color the four parts of it.

Now combined both boxes and shown below.

From the below figure it is clear that

The number of common shaded small boxes = 12

Total number of small boxes = 20

The required fraction is

$Fraction=\frac{\text{Number of common shaded small boxes}}{\text{Total number of small boxes}}$

$Fraction=\frac{12}{20}$

Cancel out common factor.

$Fraction=\frac{3}{5}$

Therefore, the simplified form of given expression is 3/5.

5 0

3 years ago

Madison needs to buy a new laptop for her music production. She borrows $2,100 and must pay the money back in equal amounts for

Bad White [126]

Answer:

304

Step-by-step explanation:

2100÷7=300

300+interest=300+4

=304

6 0

3 years ago

Read 2 more answers

Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amount

Nikolay [14]

Constant rates are used to illustrate linear functions.

The average rate of change is $9.0 per hour
The function that models the table is: $\mathbf{f(x) = 9x }$
The amount earned in 7.5 hours is $67.5

<u>(a) The average rate of change</u>

This is calculated using:

$\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}$

So, we have:

$\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}$

$\mathbf{Rate = \frac{9}{1.0}}$

$\mathbf{Rate = 9.0}$

Hence, the average rate of change is $9.0 per hour

<u>(b) A function that models the table of values</u>

Let x represent hours, and y represent the earnings.

So, we have:

$\mathbf{y =m (x - x_1) + y_1}$

Where:

m =Rate = 9.0

So, we have:

$\mathbf{y = 9(x - 2.5) + 22.5}$

Expand

$\mathbf{y = 9x - 22.5 + 22.5}$

$\mathbf{y = 9x }$

Represent as a function

$\mathbf{f(x) = 9x }$

Hence, the function that models the table is: $\mathbf{f(x) = 9x }$

<u>(c) Amount earned for 7.5 hours</u>

This means that x = 7.5

So, we have:

$\mathbf{f(7.5) = 9 \times 7.5 }$

$\mathbf{f(7.5) = 67.5}$

Hence, the amount earned in 7.5 hours is $67.5

Read more about constant rates at:

brainly.com/question/23184115

4 0

2 years ago

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Doss [256]

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Kobotan [32]

Answer:

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Step-by-step explanation:

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3 years ago