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3 years ago

Find the distance between the two points on the coordinate plane.

Mathematics

1 answer:

Jobisdone [24]3 years ago

4 0

Answer:

Step-by-step explanation:

Assuming that each square is one unit, you plug it into the distance formula.

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Ganezh [65]

All I know is number 9. Is -2/5

5 0

3 years ago

Find the inverse of the given function.

kodGreya [7K]

For this case we must find the inverse of the following function:

$f (x) = - \frac {1} {2} \sqrt {x + 3}$

We follow the steps below:

Replace f(x) with y:

$y = -\frac {1} {2} \sqrt {x + 3}$

We exchange the variables:

$x = - \frac {1} {2} \sqrt {y + 3}$

We solve for "y":

$- \frac {1} {2} \sqrt {y + 3} = x$

Multiply by -2 on both sides of the equation:

$\sqrt {y + 3} = - 2x$

We raise both sides of the equation to the square to eliminate the radical:

$(\sqrt {y + 3}) ^ 2 = (- 2x) ^ 2\\y + 3 = 4x ^ 2$

We subtract 3 from both sides of the equation:

$y = 4x ^ 2-3$

We change y by f ^ {- 1} (x):

$f ^ {- 1} (x) = 4x ^ 2-3$

Answer: $f ^ {- 1} (x) = 4x ^ 2-3$

7 0

3 years ago

Read 2 more answers

How do you factor this?

lubasha [3.4K]

Answer:

Step-by-step explanation:

What two numbers multiply to equal -48, but add to equal -2? The method is multiplying a*c and seeing if they add up to b. Those two numbers are -8 and +6.

$6x^2-2x-8=6x^2-8x+6x-8$

Now, factor by grouping

$(6x^2-8x)+(6x-8)=2x(3x-4)+2(3x-4)\\(2x+2)(3x-4)$

3 0

3 years ago

Consider the rule y = 5x + 7.

maksim [4K]

Answer:

see below

Step-by-step explanation:

Consider the rule y = 5x + 7.

a. How many tiles are in Figure 0?

In figure 0, we let x=0

y = 5*0+7 = 0+7 = 7

b. Which figure has 37 tiles?

This means y = 37

37 = 5x+7

Subtract 7 from each side

37-7 = 5x+7-7

30 = 5x

Divide by 5

30/5 = 5x/5

6 =x

Figure 6 has 37 tiles

c. In the equation y = mx + b, what do the letters m and b represent?

m is the slope or how much it is increasing each time x increases by 1 and b is how much we start with when x =0

5 0

3 years ago

The formula for the volume of a sphere is. What is the formula solved for r?

nataly862011 [7]

Answer:

$r = \sqrt[3]{\dfrac{3V}{4 \pi}}$

Step-by-step explanation:

$V = \dfrac{4}{3}\pi r^3$

$\dfrac{4}{3}\pi r^3 = V$

$\pi r^3 = \dfrac{3V}{4}$

$r^3 = \dfrac{3V}{4 \pi}$

$r = \sqrt[3]{\dfrac{3V}{4 \pi}}$

3 0

3 years ago