Answer:
centre = (-5, -4)
radius = 7.42
Step-by-step explanation:
The general form for center-radius is
(x - h)² + (y - k)²= r²
Center = (h, k)
Radius = r
Rearrange the equation.
(x² + 10x) + (y² + 8y) - 14 = 0
Add 14 on both sides.
(x² + 10x) + (y² + 8y) = 14
(10/2)² = 25
(8/2)² = 16
Add 25 and 16 to both sides.
(x² + 10x + 25) + (y² + 8y + 16) = 14 + 25 + 16
Factor left side of the equation.
(x+5)² + (x+4)² = 55
(55) = (7.416198)²
(x+5)² + (x+4)² = 7.42²
The radius is 7.42.
The centre is at (-5, -4).
Answer:
Every value of x.
Step-by-step explanation:
The function is a zero-order polynomial, whose value remains constant for all value of x.
Answer:
Probabilities
Likely to happen (L) Unlikely to happen (U)
a. 4/5 5/8
b. 3/5 3/8
c. 4/5 4/7
d. 0.3 0.09
e. 5/6 and 4/5 2/3
Step-by-step explanation:
Probabilities in Percentages:
a. The probability of 4/5 = 80% and 5/8 = 62.5%
b. The probability of 3/8 = 37.5% and 3/5 = 60%
c. The probability of 4/5 = 80% and 4/7 = 57%
d. The probability of 0.3 = 30% and 0.09 = 9%
e. The probability of 2/3 = 67% and 4/5 = 80% and 5/6 = 83%
b) To determine the relative values of the fractional probabilities, it is best to reduce them to their fractional or percentage terms. When this is done, the relative sizes become obvious, and then, comparisons can be made.
Answer:
12/25
Step-by-step explanation
First you count the amount of odd numbers there are.
Then whatever that number is , is you numerator.
Answer:
The sum of the first 41 terms is 6232
Step-by-step explanation:
The sequence is an arithmetic progression with:
-- first term
--- common difference (this is calculated by 19 - 12 or 26 -19)
Required
The sum of the first 41 terms
This is calculated as:
![S_n = \frac{n}{2}(2a + (n-1)*d)](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7Bn%7D%7B2%7D%282a%20%2B%20%28n-1%29%2Ad%29)
In this case: ![n = 41](https://tex.z-dn.net/?f=n%20%3D%2041)
So:
![S_{41} = \frac{41}{2}(2*12 + (41-1)*7)](https://tex.z-dn.net/?f=S_%7B41%7D%20%3D%20%5Cfrac%7B41%7D%7B2%7D%282%2A12%20%2B%20%2841-1%29%2A7%29)
![S_{41}= \frac{41}{2}*304](https://tex.z-dn.net/?f=S_%7B41%7D%3D%20%5Cfrac%7B41%7D%7B2%7D%2A304)
![S_{41} = 6232](https://tex.z-dn.net/?f=S_%7B41%7D%20%3D%206232)