To write the number is standard form we need to move the decimal point six times to the right, then:
therefore the answer is b.
Answer:
1. C 2. D
Step-by-step explanation:
Answer:
x < -15
Step-by-step explanation:
Here is the solution:
-3x-42 > 3
Add the numbers
-3x > 45
Divide both sides of the inequation by -3 and flip the inequality sign.
x < -15
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
Lets look for square numbers in the factors of 112:-
112 = 2*2*2*2*7
2*2*28" = 16
so sqrt 112 = sqrt16 * sqrt7 = 4 sqrt7 answer
