Answer:
undefined, stays on x so straight vertical - vertical line is undef slope
Answer:
6.3 yards
Step-by-step explanation:
mathematically, to get the circumference of the circle, we will have to use the formula for the circumference of a circle
we have this as;
C = 2 * pi * r
r is 1 yard
c = 2 * pi * 1 = 2pi yards = 6.3 yards
Answer:
<h3>$490</h3>
<h2><em>MARK </em><em>ME </em><em>AS </em><em>BRAINLY</em></h2>
<h3><em>#</em><em>C</em><em>a</em><em>r</em><em>r</em><em>y</em><em> </em><em>On </em><em>Learning</em></h3><h3 />
<h3>To ProvE :- </h3>
- 1 + 3 + 5 + ..... + (2n - 1) = n²
<u>Method</u><u> </u><u>:</u><u>-</u>
If P(n) is a statement such that ,
- P(n) is true for n = 1
- P(n) is true for n = k + 1 , when it's true for n = k ( k is a natural number ) , then the statement is true for all natural numbers .
Step 1 : <u>Put </u><u>n </u><u>=</u><u> </u><u>1</u><u> </u><u>:</u><u>-</u><u> </u>
Step 2 : <u>Assume </u><u>that </u><u>P(</u><u>n)</u><u> </u><u>is </u><u>true </u><u>for </u><u>n </u><u>=</u><u> </u><u>k </u><u>:</u><u>-</u>

- Add (2k +1) to both sides .
- RHS is in the form of ( a + b)² = a²+b²+2ab .
- Adding and subtracting 1 to LHS .
- P(n) is true for n = k + 1 .
Hence by the principal of Mathematical Induction we can say that P(n) is true for all natural numbers 'n' .
<em>*</em><em>*</em><em>Edits</em><em> are</em><em> welcomed</em><em>*</em><em>*</em>