Raj's conjecture is valid i.e an even number times an even or odd number will always be even.
Even numbers are number that can be divided by 2 without leaving a remainder. Examples are: 4, 6, 8, 20, 50 etc. While odd numbers can not be divided evenly by 2. Examples are: 7, 11, 17, etc
Thus, the conjecture can be proved as follows:
i. Even number times an even number
- 4 x 12 = 48
- 6 x 8 = 48
- 2 x 10 = 20
- 12 x 16 = 192
Thus, an even number multiplied by an even number would give an even number.
ii. Even number times an odd number
- 4 x 11 = 44
- 6 x 5 = 30
- 2 x 7 = 14
- 8 x 17 = 136
- Thus, an even number multiplied by an odd number would always give an even number.
Therefore, Raj's conjecture is valid.
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Answer:
x^2+y^2 = 3^2
Step-by-step explanation:
We need to eliminate the parameter t
Given:
x = 3 cos t
y = 3 sin t
Squaring the above both equations
(x)^2=(3 cos t)^2
(y)^2 =(3 sin t)^2
x^2 = 3^2 cos^2t
y^2=3^2 sin^2t
Now adding both equations
x^2+y^2=3^2 cos^2t+3^2 sin^2t
Taking 3^2 common
x^2+y^2=3^2 (cos^2t+sin^2t)
We know that cos^2t+sin^2t = 1
so, putting the value
x^2+y^2=3^2(1)
x^2+y^2 = 3^2
Hence the parameter t is eliminated.
U put the FILLED IN circle on top of the -5 with the arrow going left
Answer:
10x² - 12
Step-by-step explanation:
4x² - 7 + 6x² - 5 (combine like terms)
10x² - 12
Answer:
y-intercept (0,2.5)
x intercept (3.5,0)
Step-by-step explanation: