Answer:
( x+1)^2 + (y+2)^2 = 25
The center is (-1, -2) and the radius is 5
Step-by-step explanation:
x^2 + 2x + y^2 + 4y = 20
Complete the square
2/2 =1 1^2 =1 so add 1 for x 4/2 =2 2^2 = 4 so add 4 for y
x^2 +2x +1 +y^2 +4y+4 = 20 +1 +4
( x+1)^2 + (y+2)^2 = 25
(x+1) ^2 + (y+2)^2 = 5^2
(x - -1) ^2 + (y - -2)^2 = 5^2
This is in (x-h)^2 + (y-k)^2 = r^2 form where (h,k) is the center and r is the radius
The center is (-1, -2) and the radius is 5
Answer:4x
Step-by-step explanation:
Answer:
a.b=[-1]
Step-by-step explanation:
This is a dot product of a and b
a.b =[6,-2,3].[2,5, -1] = [12-10-3] =[-1]
Answer:
$511.5
Step-by-step explanation:
Given: Selling price of bike at Danny´s shop is $550
Bike is sold 7% less at competitor´s shop.
Lets find the discounted amount at Danny´s competitor shop.
∴ 
Now, finding the cost of bike at Danny´s competitor.
Cost of bike at Danny´competitor= 
Cost of bike at Danny´s competitor= 
∴ Cost of bike at Danny´s competitor is $511.5.
Answer:
There are 110 children total in the sports club
Step-by-step explanation:
To get this answer, its actually easier than it seems. You might need a calculator however.
First you start with the 11 children who play both badminton and squash, then, you divide that by 0.25 (25%) to get 44.
Next you take 44 and divide it by 0.4 (40%) to get 110.
And there you go! If you want to make sure you got it right simply start with 110 and multiply it by 0.4 then multiply the number/decimal you get by 0.25. You should get 11 to confirm your answer :)
