Answer:
Equation of the circle =
80 = ( x - 1)^2 + (y + 1)^2
Step-by-step explanation:
Center = (1 , -1)
Point = ( 5 , 7)
Eqn of a circle is
r^2 = (x - h)^2 + (y - k)^2
We are not given the radius of the circle, fortunately we are provided the information that the circle contains a point ( 5, 7), so we use the above information to find r
Using the center (1, -1)
h - 1
k - -1
r^2 = (x - 1)^2 + ( y - -1)^2
r^2 = (x - 1)^2 + (y + 1)^2
With the point ( 5,7)
x = 5
y = 7
r^2 = ( 5 - 1)^2 + ( 7 + 1)^2
= 4^2 + 8^2
= 16 + 64
= 80
r^2 = 80
r = square root of 80
r = 8.94
The r = 8.94 , which means the equation of the circle is
80 = (x - 1)^2 + ( y + 1)^2
Answer:
1/7776.
Step-by-step explanation:
The probability of rolling a six in 1 throw = 1/6.
Rolling a 6 5 times in a row = (1/6)^5
= 1/7776.
The probability is multiplied because each roll is independent from other rolls.
Multiply 7 by 9 and you will get 63 which is x.
Answer: day 11
equation: 100-3d=20+5e
Step-by-step explanation:
do a table. 100-3: 20+5: 97-3:25+5 until you get to the same number. I think that's how you do it. I hope it helps.
Answer:
Step-by-step explanation:
Given the algebraic expression;
To make n the subject of formula.
Cross-multiplying, we have;
Rearranging the equation, we have;