Step-by-step explanation:
y = kx, where k is the constant of proportionality. (1)
Therefore y = x and line B depicts that.
You have to solve the two equations by eliminating x or y
<span>2x+5y=10 </span>
<span>x-3y=1 </span>
<span>Multiply all terms of second equation by two and subtract from first equation, thus eliminating x </span>
<span>2x+5y-2x+6y=10-2 </span>
<span>11y=8 </span>
<span>y=8/11 </span>
<span>x=3y+1=3* 8/11+1=25/11 </span>
<span>11x+11y= 11*25/11+ 11*8/11 </span>
<span>= 25+8=33</span>
The total possibilities can be 756 ways.
<h3>What is combination?</h3>
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.
Given:
The number of ways in which we can select atleast 3 men in the committee are 756.
Number of men = 7
Number of women = 6
Number of people that should be selected in the committee = 5
Now,
N(M = 3) = 7C_3* 6C_2
=35*15
=525
N(M = 4) = 7C_4* 6C_1
=35*6
=210
N(M = 3) = 7C_5* 6C_0
=21*1
=21
So, total possibilities can be = 525 + 210 + 21 = 756 ways.
learn more about combination here:
brainly.com/question/28390900
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• rearrange into the form y = mx + c to find the gradient:
5x -3y = 2
-3y = 2 -5x
y = (-5/-3x) + (2/-3)
y = 5/3x - 2/3
gradient of line m is 5/3
• use formula to find perpendicular gradient, m1 X m2 = -1, and rearrange:
5/3 X m2 = -1
m2 = -3/5 is the slope of the perpendicular line :)
Answer:
35 degrees
Step-by-step explanation: