The radius is the distance from the center to a point anywhere along the edge of the circle. To find the distance between these two points, use the distance formula.

$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(1--3)^2 + (2-4)^2}\\ d = \sqrt{4^2 + -2^2}\\ d = \sqrt{16 + 4}\\ d = \sqrt{20} \\d = 2\sqrt{5}$

7 0

3 years ago

Read 2 more answers

In the table below, x represents the miles traveled and y represents the cost to travel by train.

Fudgin [204]

Answer:

2.25

Step-by-step explanation:

to find slope it is (y2-y1)/(x2-x1)

(15.25-8.50)/(5-2)

6.75/3

2.25 is the slope

3 0

3 years ago

Read 2 more answers

Solve 4e^2x-3=12 please help

Anestetic [448]

$4*e^{2x} -3 = 12$

Step 1:

Here we have -3 in subtraction on the left side, so when we take it to the right we apply opposite operation of subtraction that is addition.

$4*e^{2x} = 12+3$

$4*e^{2x} = 15$

Step 2:

Next we have 4 in multiplication on left side, so dividing right side by 4,

$e^{2x} = 15/4$

$e^{2x} = 3.75$

Step 3:

taking log on both sides

$ln ( e^{2x}) = ln(3.75)$

${2x} =ln 3.75$

Step 4:

Dividing right side by 2,

x= ln (3.75) /2 = 0.66088

Answer : x = 0.66088..

5 0

3 years ago

Read 2 more answers

There are 24 fish in an aquarium. If 1/8 of them are tetras, and 2/3 of the remaining fish are guppies, how many guppies are in

kiruha [24]

Answer:

14 guppies

Step-by-step explanation:

1/8th of 24 is 3 which leaves 21 remaining

2/3 of 21 is 14 as each third is 7

8 0

3 years ago

What is the value for x? ​

What is the value for x?