Hello!
The standard equation of a circle is x² + y² = r², when the center is at the origin.
So therefore, we just need to substitute the radius into the equation to find the appropriate equation.
x² + y² = (3)²
x² + y² = 9
Therefore, the equation of the circle is C, x² + y² = 9.
Answer:
B
Step-by-step explanation:
We have 4 being multiplied by itself 8 times. this is written as
4 × 8 → B
Answer:
14 and 6
Step-by-step explanation:
Let's start by naming the first number x.
We can name the second number y.
We can set up equations to model our situation.
x+y=2x-8
x-y=2y-4
Let's simplify the equations.
x+y=2x-8
Subtract 2x from both sides
-x+y=-8
__________
x-y=2y-4
Subtract 2y from both sides.
x-3y=-4
Add the two equations together to eliminate x.
x-3y=-4
-x+y=-8
________
0x-2y=-12
-2y=-12
Divide both sides by -2.
y=6
The second number is 6.
Plug that back in.
x+6=2x-8
Subtract x from both sides
6=x-8
Add 8 to both sides
x=14
The first number is 14
Answer:
40%.
Step-by-step explanation:
Prob( Rolling a 4) = 12/50
Prob( Rolling a 3) = 8/50
When the combined probabilities contain an 'OR' we Add the probability values:
Probability of a 3 or a 4
= 12/50 + 8/50
= 20/50
= 2/5
= 40%.
None of the offered choices is correct.
f(3) = 0.02·2³ = 0.02·8 = 0.16
f(8) = 0.02·2⁸ = 0.02·256 = 5.12
Then the average rate of change is
... (f(8) - f(3))/(8 - 3) = (5.12 -0.16)/5 = 4.96/5 = 0.992
