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3 years ago

Find an equation of the circle that has center (-1,2) and passes through (5,-4).

1 answer:

8 0

General equation for a circle
(x - a)² + (y - b)² = r²
with (a,b) represents the center, (x,y) represents one of the points lie on the circle, and r represents the radius

Determine r² by substituting the points into the general equation
(x - a)² + (y - b)² = r²
(5 - (-1))² + (-4 - 2)² = r²
(5 + 1)² + (-6)² = r²
6² + 36 = r²
36 + 36 = r²
72 = r²

Determine the equation of the circle
(x - a)² + (y - b)² = r²
(x - (-1))² + (y - 2)² = 72
(x + 1)² + (y - 2)² = 72 (This is the equation of the circle)

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which cost more. 8 printers priced at $145 per printer or 3 laptop computer priced at $439 per computer? explain.

Elodia [21]

8 printers for $145 each is a total of $1160.

3 laptops for $439 is a total of $1317.

Therefore, the price of 3 laptops for $439 each cost more than 8 printers for $145 each.

8 0

3 years ago

Read 2 more answers

Which equation have the same value of X as 3/5 ( 30x -15) = 72 Select 3 options A. 18x - 15 = 72 B. 50x -25=72 C. 18x -9= 72 D.

alex41 [277]

x= 4.5

18x - 9 = 72 are the equations

Stay safe!! God bless!

- Elisha

8 0

3 years ago

How to rewrite 3x4-1+2

igomit [66]

If you want to solve it the answer is 13...
If you want multiple ways to write that here are some:
3x4+2-1
3x4+1
12+2-1
12+1
Etcetera

4 0

4 years ago

The local high school is hosting the last soccer game. They charged adults, x, $5 to enter, and $3 for students, y. It costs the

Neporo4naja [7]

Answer:

(40,35)

Step-by-step explanation:

Well we can immediacy eliminate 2 options for ow becuase if you add them up they don’t equal 75 and in the equation it asked for x+y=75.

Now we just test out each x and y possibility

We know 5x+3 > 300

So lets try the first one

30 is x

45 is Y

5*30=150

45*3=135

Now if you add them

285

285 is not greater than 300 so thats wrong

SO B is correct

But lets check just in case

5*40=200

3*35= 105

305 IS greater than 300

305 > 300

SO B is correct

The point (40,35)

4 0

3 years ago

A right cone has radius 9cm and slant height 12cm. The radius and slant height are both multiplied by 2/3. Which of the followin

Olegator [25]

Answer:

<em>The surface area is multiplied by 4/9.</em>

Step-by-step explanation:

<u>Surface Area of a Cone</u>

Being r the radius and l the slant height of a cone, then its surface area is

$SA=\pi r^2+\pi r l$

Now let's think both the radius and the slant height are multiplied by the same factor k, i.e.

r'=kr

l'=kl

The new surface area is

$SA'=\pi r'^2+\pi r' l'=\pi (kr)^2+\pi \cdot kr\cdot kl=k^2\pi r^2+k^2\pi rl$

$SA'=k^2(\pi r^2+\pi rl)=k^2\cdot SA$

The new surface area is the $k ^2$ times original SA. Since k=2/3, then

$SA'=4/9\ SA$

The surface area is multiplied by 4/9.

6 0

3 years ago