Answer:
Divide 8x^3 by 2x
Step-by-step explanation:
Here, we want to identify the first step to take in the polynomial division.
When working with a polynomial division, what to do is to divide the first term of the dividend by the first term of the divisor ( the divisor is arranged in descending powers of x)
The number we want to divide is the dividend, while the number we are using to divide is the divisor.
In this case, the first term of the dividend is 8x^3 while that of the divisor is 2x
We are given coordinates of A, B, C and D :
A(2, 4), B(9, 8), C(-1, 2), and D(3, -5).
Now, we need to find the slopes of AB and CD.
Slope of AB is :
.
Slope of CD is:
.
<em>Slope of CD is negative reciprocal of slope of slope of AB. </em>
<h3>Therefore, lines AB are CD are perpendicular.</h3>
Answer:
Step-by-step explanation:
The trick is to realize what your choices are.
if m or n or both are divisible by 5, then 2mn will be divisible by 5
I don't know if you know about x mod(5), but in that case there can only be 4 possibilities for m and n
m mod (5) = +/- 2 or m mod(5) = +/- 1
In the first case m^2 = 4 mod(5) and in the second case m^2 = 1 mod(5) N has the same considerations.
If m and n have the same modular results (both are [say] 2 ) then m^2 - n^2 which be 0
If they are different, then (m^2 + n^2) mod 5 = 0
Total number of pieces of paper = 11
Number of pieces with a vowel = 4
Probability of picking a vowel = 4/11 (answer)
