Formula for circumference: C = 2pi*r
This becomes 201 cm = 2(3.14) r
Divide both sides of this eqn by 6.28:
201
------- = r = 32 cm (approx).
6.28
Answer:
(3, -3)
Step-by-step explanation:
Use the midpoint formula.
x = (x₁ + x₂) / 2
-1.5 = (-6 + x) / 2
-3 = -6 + x
x = 3
y = (y₁ + y₂) / 2
1 = (5 + y) / 2
2 = 5 + y
y = -3
The other endpoint is (3, -3).
Graph: desmos.com/calculator/aze920ns2h
Answer:
x^2 - 10x + 25 = 17
Step-by-step explanation:
Please use " ^ " to denote exponentation:
x^2 - 10x = -8
x^2 - 10x + 25 = 17
x^2 - 10x + 25 = -8
x^2 - 10x - 25 = -33
Begin with x^2 - 10x = -8. Here's the process for completing the square:
1. Take half of the coefficient of x and square the result:
(1/2)(-10) = -5, and then (-5)^2 = + 25
2. Add this 25 to the first two terms of x^2 - 10x = -8 and also to the constant -8: x^2 - 10x + 25 = -8 + 25, or x^2 - 10x + 25 = 17
3. Match this result to one of the given possible answers. Turns out that the given possible answer matching our result is the first one:
x^2 - 10x + 25 = 17
Answer:
2.
3.
Step-by-step explanation:
<em>In general we can write a polynomial in standard form as </em>

<em>Given</em> 
<em>Combine the like terms: 4m and -4m</em>
<em>4m-4m=0</em>
<em>We have 4m-4m=0</em>
<em>So, write the remaining terms</em>

= 
<em>This is in decreasing order of powers.</em>
<em>Hence the answer is the standard form is</em>

<em>But in the given options, you can choose option 2 and option 3 are in standard form.</em>
<em>Because they are in decreasing order of powers.</em>
<em>In other two options, the constants term is first and the highest power term is at the last. So, they are not in standard form.</em>
<em>-2m^4-6m^2+4m+9</em>
<em>-2m^4-6m^2-4m+9</em>
<em>I hope this helps you.</em>
<em>And please comment if I need to do corrections.</em>
<em>Please let me know if you have any questions.</em>