Answer:
B: a = 1, b= 7, c = -2
Step-by-step explanation:
<u>Quadratic Formula</u>

Given:

Comparing the terms of the given x-value with those of the quadratic formula:

Therefore:
Using the found values of a and b to solve for c:






In summary: a = 1, b = 7, c = -2

Therefore, <u>option B</u> is the correct solution.
<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>
First arrange them in ascending order:-
17 20 24 25 30 32 35 38 40 42
The median = mean of middle 2 numbers = (30+32)/2 = 31
Lower quartile = 24 and upper quartile = 38
Inter quartile range = 38 - 24 = 14
Its the first choice.
Answer:
D. 10 units
Step-by-step explanation:
Use pythagorean theorem


Answer:
god
Step-by-step explanation: