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3 years ago

Start at (12, 3). Move 2 units right and 7 units up. Where do you end up?

Mathematics

1 answer:

Korolek [52]3 years ago

6 0

Answer: (10, 10)

Step-by-step explanation: well if you say start at (12, 3) move 7 units up then 3 units right then it would make it easier to figure it out cus as you can see start at 3 and go up 7 it would stop at 10 then if you go over 2 from 12 it would stop at 10

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Write the equation of circle b with center B(-2,3) that passes through (1,2)

professor190 [17]

Answer:

$(x+2)^2 + (y-3)^2 = 10$

Step-by-step explanation:

The standard equation for circle is

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

where point (a,b) is coordinate of center of circle and r is the radius.

______________________________________________________

Given

center of circle =((-2,3)

let r be the radius of circle

Plugging in this value of center in standard equation for circle given above we have

$(x-a)^2 + (y-b)^2 = r^2 \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2 \\=>(x+2)^2 + (y-3)^2 = r^2 (1)$

Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.

Plugging in the point (1,2 ) in equation 1 we have

$\\=>(x+2)^2 + (y-3)^2 = r^2 \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=> r^2 = 10\\$

now we have value of r^2 = 10, substituting this in equation 1 we have

Thus complete equation of circle is $=>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10$

7 0

3 years ago

What is the solution to this equation -4x + 2=26

wolverine [178]

$-4x+2=26$ <em>subtract 2 from both sides</em>

$-4x=24$ <em>divide both sides by (-4)</em>

$\boxed{x=-6}$

8 0

3 years ago

Read 2 more answers

My soccer team has 16 players. I have to choose a starting lineup of a goalie and 10 regular players (the regular players are in

ASHA 777 [7]

Answer:

3003

Step-by-step explanation:

We want to find out how many ways we can choose 10 players among 15 players (since the goalie is not interchangeable)

The number of different lineups you can have can be found by using combination:

$^{15}C_{10} = \frac{15!}{(15 - 10)! 10!}\\ \\= \frac{15!}{5! * 10!} \\\\= 3003$

There are 3003 different lineups that can be chosen.

6 0

3 years ago

For her college fund jenny's parents invested $5000 four years ago. the account has now reached $6312. what is the approximate a

Tasya [4]

Answer:

Rate = 6.56%

Step-by-step explanation:

Principal (P) = $5000

Interest (I) = $6312

Time (T) = 4 years

Rate (r) = ?

This question is involves simple interest and with the formula, we can easily plug in the values to find the rate.

S.I = P(1 + rt)

S.I = simple interest

P = principal

R = Rate

T = Time

6312 = 5000(1 + r*4)

6312 = 5000 + 5000*4r

6312 - 5000 = 20000r

1312 = 20000r

r = 1312 / 20000

r = 0.0656

Rate are calculated in percentage hence we'll multiply it by 100

R = 6.56%

4 0

3 years ago

Arabella's password consists of 1 letter followed by two digits. What is the probability of correctly guessing Arabella's passwo

Alchen [17]

The answer is 1/2600

Hope this helps

6 0

3 years ago