Answer: A. 30
Step-by-step explanation:
The formula for the area of a circle is pi*r^2, where r is the radius of the circle.
900pi = pi*r^2
Divide both sides by pi.
900 = r^2
Square root both sides.
r = +/- 30.
Since the radius cannot be negative, the answer is 30 units.
Answer:
(-3,4)
Step-by-step explanation:
x + 2y = 5
-3 + (2*4) = 5
-3 + 8 = 5
5 = 5
2x + 3y = 6
(2*-3) + (3*4)=6
-6 + 12 = 6
6 = 6
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question
y = 7/5x - 3
Comparing with the above formula
<h3>Slope / m = 7/5</h3><h3>c/ y intercept = - 3</h3>
Hope this helps you
Just multiply by 0.15 to get the tip amount and add to your original number. This gives you 32.43
Answer:
Step-by-step explanation:
9 - x ≤17
At some point you are going to have to turn the equation around. This would not normally be your first step, but this time it is better to start with it.
We won't do it directly. The best way to do it is to add x to both sides before you do anything else. This is not the usual way to solve these equations, but it's a good time to learn.
Inequality Rule: you must always solve for x. If it is -x then you are going to have to make an adjustment to get the x to be positive.
9 - x ≤ 17 Add x to both sides
9 - x+x ≤ 17 + x Combine
9 ≤ 17 + x Subtract 17 from both sides.
9 - 17 ≤ 17 - 17 + x
8 ≤ x
Notice that you have effectively changed the ≤ sign around, not because you have, but because the x reads differently now. It started out 9 - x ≤ 17 and when you finish solving it you get 8 is less than or equal to x. Entirely different.