The circle equation is in the format (x – h)² + (y – k)² = r², with the center being at the point (h, k) and the radius being "r".
QUESTION 11.
Equation x²+y²+10x-14y-7 =0 can be rewritten as: x²+10x+25 + y² -14y + 49 -7 - 25 - 49=0
It can be factories as (x + 5)² + (y – 7)² = 9²
Therefore the radius equals 9 and the center is (-5,7)
QUESTION 12.
From equation (x + 4)² + y² = 121
The radius equals √121 = 11 and the center is (-4,0)
QUESTION 13.
As there are missing information in the question, I can't assist. However, you can use the general circle equation (x – h)² + (y – k)² = r² to solve the question.
Finally equations 14 & 15 aren't linear.
Hope that helps you :)
If its multiplication sipmlest form is, 6/10
If its addition simplest form is, 7/9
If its any other just tell me! Hope i was right :p
Answer:
The equation is 3n + 13 = 40 The triplets are 9 years old
Step-by-step explanation:
You want to draw 2 kings from a 52 card deck. And you do it with replacement.
There are 4 kings in a standard deck. The probability of getting one of them is
4/52 on the first draw.
For the second draw the probability is the same.
4/52
The probability for both happening is
(4/52)*(4/52) = (1/13)*(1/13) = 1/169 = 0.001597
Answer:
2. 3.913 kg (3 dp)
3. light cream
4. 240 CoffeeStops
5. 7 CoffeeStops per square mile
6. 2,861 cups of coffee each day
Step-by-step explanation:
Given:
- Skim milk density at 20 °C = 1.033 kg/l
- Light cream density at 20 °C = 1.012 kg/l
- 1 liter = 0.264 gallons
<u>Question 2</u>

Therefore, the mass of 1 gallon of skim milk is 3.913 kg (3 dp)
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<u>Question 3</u>
Given:
- Volume of liquid = 9 liters
- Mass of liquid = 9.108 kg

Therefore, the container holds light cream.
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<u>Question 4</u>
Given:
- 15 CoffeeStops per 100,000 people
- Population of Manhattan ≈ 1,602,000 people

Therefore, there are 240 CoffeeStops.
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<u>Question 5</u>
Given
- Manhattan ≈ 34 square miles

Therefore, the density of CoffeeStops is 7 per square mile.
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<u>Question 6</u>
Given:
- Each person buys 3 cups of coffee per week


Therefore, each Manhattan CoffeeStop serves approximately 2,861 cups of coffee each day.