All categories

2 years ago

Jake throws a dart that hits the square shown below:

Mathematics

1 answer:

mrs_skeptik [129]2 years ago

7 0

21.5.......:::..............:.::.::..

You might be interested in

A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.

mario62 [17]

Answer:

$(x-7)^2+(y-5)^2=1$

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

Center of the circle:

The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)$

$(x_m, y_m) = (7,5)$

This is the center coordinate of our circle.

Radius:

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

$r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}$

$r = \sqrt{(6-7)^2+(5-5)^2}$

$r = \sqrt{1^2}$

$r = 1$

Equation of the circle:

The equation is written as:

$(x-a)^2+(y-b)^2=r^2$

here, (a,b) are the center points of the circle

in our case this is $(a,b)=(x_m,y_m)=(7,5)$

and r = 1

$(x-7)^2+(y-5)^2=1^2$

$(x-7)^2+(y-5)^2=1$

This is the equation of the circle!

3 0

2 years ago

Max points and brainliest

Paul [167]

Answer:

-2

Step-by-step explanation:

slope = (y1-y2)/(x1-x2)

= (3-1)/(0-1)

= 2/-1

= -2

3 0

3 years ago

Read 2 more answers

A line of best fit can be established with which of the following? Select all that apply.

garri49 [273]

Line of best fit also known as a linear regression or a trend line, the line of best fit is common tool for showing how two variables are related.This can be established by:
Positive correlation
all scatter plots
negative correlation
Line of best fit is used in order to demonstrate any observed trends in order to predict future outcomes regarding the data point variable in use.

6 0

2 years ago

Evaluate 5+5*5+5/5-5+5*5

rewona [7]

Answer:

Step-by-step explanation:

5*5=25

5/5=1

5+25+1-5+25

30+1-5+25

31-5+25

26+25

4 0

3 years ago

Read 2 more answers

Write 61/4℅ as a decimal

marta [7]

61/4 % converted into a decimal is 15.25

3 0

3 years ago