Answer:
The radius of the circle 'r' = 5
Equation of the circle
(x - 2 )² + (y+1)² = (5)²
center of the circle ( h,k) = (2 , -1) , 'r' = 5
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given circle is x² - 4 x + y² + 2 y - 20 =0
x² - 2(2) x + (2)²-(2)²+ y² + 2 y(1) +(1)²-(1)² - 20 = 0
We know that
(a+b)² = a²+2 a b+b²
(a-b)² = a² -2 a b+b²
⇒(x - 2 )² - 4 + (y+1)² -21 =0
⇒ (x - 2 )² + (y+1)² = 25
<u><em>Step(ii):</em></u>-
Equation of the circle form
( x- h)² + (y -k)² = r²
Given circle (x - 2 )² + (y+1)² = (5)²
center of the circle ( h,k) = (2 , -1)
radius of the circle 'r' = 5
Answer:
4095
Step-by-step explanation:
This can be evaluated by substituting n = 1 to n = 6 into the expression and summing the terms, that is
3(
)
= 3( 
+ 
+ 4² + 4³ + 
+ 
)
= 3(1 + 4 + 16 + 64 + 256 + 1024)
= 3(1365)
= 3 × 1365
= 4095
Answer:
C.(0.8) (120)
Step-by-step explanation:
0.8 = 80%
of means multiply, therefore, 0.8 x 120 equals 80% of 120.
Answer:
B. 4
Step-by-step explanation:
(g o f)(x) means that we put the expression for f(x) in for x in g(x):
(g o f)(x) = g(f(x)) = (x - 2)²
We want to find (g o f)(4), so plug 4 in for x:
(g o f)(x) = (4 - 2)² = 2² = 4
The answer is thus B.
<em>~ an aesthetics lover</em>
Answer:
(E) 29.0
Step-by-step explanation:
If a tag is drawn at random from each box, the expected value of the sum of the tags is the sum of the expected values for each tag.
The expected value for each tag is the mean value of the numbers in its box.
The expected value of the sum of the numbers on the two selected tags is 29.
