Answer:
(h+8)^2 + ( y +1)^2 = 9
Step-by-step explanation:
The equation of a circle can be written as
(x-h) ^2 +(y-k) ^2 = r^2
where (h,k) is the center and r is the radius
(h- -8)^2 + ( y - -1)^2 = 3^2
(h+8)^2 + ( y +1)^2 = 3^2
(h+8)^2 + ( y +1)^2 = 9
Sum of internal angles of any triangle = 180∘
∴x + 2x + 3x = 180∘
∴6x = 180∘
∴ x = 30∘
So the angles are: 30∘, 60∘ and 90∘
Answer:
g(f(x)) = -6x+6.
Step-by-step explanation:
It is given that,
f(x) = -3x + 2 and g(x) = 2x – 5
We need to find g(f(x)).
Put it into g(x).
g(f(x)) = 2(-3x + 2)+2
= -6x+4+2
=-6x+6
Hence, the value of g(f(x)) is -6x+6.
Answer:
Step-by-step explanation:
7 marks
6 same colors
from 12 red 6 same exactly the same
12 x 11 x 10 x 9 x7 x6
1 remainig
from 9 green 6 saem exactly the same
9 x 8 x 7 x 6 x5 x4
1 remaining
add the results above to get your final answer
26 markers in total
6 to be chosen of the same color from 7
Answer:
The 95% confidence interval is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 26
The mean is 
The standard deviation is 
From the question we are told the confidence level is 95% , hence the level of significance is
=> 
Generally from the normal distribution table the critical value of 
is
Generally the margin of error is mathematically represented as
=> 
=> 
Generally 95% confidence interval is mathematically represented as
=> 
=>
