Answer:
(x-3)^2 + (y+2)^2 = 9^2
Step-by-step explanation:
x^2 -6x+y^2+4y-68 = 0
Complete the square
x^2 -6x+y^2+4y-68+68 = 0+68
x^2 -6x+y^2+4y = 68
Find the term to add for x
-6 /2 = -3 -3^2 = 9
Find the term to add for y
4/2 =2 2^2 = 4
Add 9 and 4
x^2 -6x+9+y^2+4y+4 = 68+9+4
(x-3)^2 + (y+2)^2 = 81
(x-3)^2 + (y+2)^2 = 9^2
The standard form is
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
Answer: c. 150g of sugar dissolved in 300ml water
Step-by-step explanation:
The concentration of sugar syrup will decide which syrup is sweetest. Concentration is defined as the amount of solute dissolved per unit volume of solution.
a) 50g of sugar dissolved in 150ml water
b) 100g of sugar dissolved in 500ml water
c) 150g of sugar dissolved in 300ml water
d) 250g of sugar dissolved in 1000ml water
Thus 150 g of sugar dissolved in 300ml water has highest concentration and is sweetest.
Answer:
y=2x +3
Step-by-step explanation:
The slope hits the points (-1,2) and (0,2). If you count how many units are right and up, then that's your slope. In this case, the distance between those two points are 1 right and 2 up which is the same thing as 2. The y-intercept is 3 since the slope crosses the y-axis there.
Answer:
The possible number that Hall could be thinking of is 144.
Step-by-step explanation:
Difference between 17 and the square root of my mystery number
This is represented by:
is 5
Then:
What are two possible numbers that Hall could be thinking of?
We have to solve the equation, for x. So
The possible number that Hall could be thinking of is 144.
Answer:
let jivesh score x runs so rajat scores 3x runs
total runs = 300-8 = 292 runs
so x+3x = 292
4x = 292
x = 292/4
x = 73
so jivesh score 72 runs and rajat scores 216 runs
Step-by-step explanation: