Answer:
(x, y) = (1, -1)
Step-by-step explanation:
We'll write these equations in general form, then solve using the cross-multiplication method.
43x +67y +24 = 0
67x +43y -24 = 0
∆1 = (43)(43) -(67)(67) = -2640
∆2 = (67)(-24) -(43)(24) = -2640
∆3 = (24)(67) -(-24)(43) = 2640
These go into the relations ...
1/∆1 = x/∆2 = y/∆3
x = ∆2/∆1 = -2640/-2640 = 1
y = ∆3/∆1 = 2640/-2640 = -1
The solution is (x, y) = (1, -1).
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<em>Additional comment</em>
The cross multiplication method isn't taught everywhere. The attachment explains a bit about it. Our final relationship changes the order of the fractions to 1, x, y from x, y, 1. That way, we can use the equation coefficients in their original general-form order. (The fourth column in the 2×4 array of coefficients is a repeat of the first column.)
a). Three people can be selected from a group of ten in
(10 · 9 · 8) = <em>720 ways</em>.
(But every group of 3 different people can be selected in 6 different ways. So there are actually only (720/6) = 120 different groups of 3 different people.)
b). Three women can be selected from a group of five women in
(5 · 4 · 3) = <em>60 ways</em>.
(But every group of 3 different women can be selected in 6 different ways. So there are actually only (60/6) = 10 different groups of 3 different women.)
c). Start with 3 men and 3 women.
The probability of the first selection being a woman is (3/6) = 50% .
Then there are 3 men and 2 women.
The probability of the 2nd selection being a woman is (2/5) = 40% .
Then there are 3 men and 1 woman.
The probability of the 3rd selection being a woman is (1/4) = 25% .
The probability of all 3 selections being women is
(50% ·40% ·25%) = (0.5 ·0.4 ·0.25) = <em>0.05</em>
The probability that the selected group will consist of all women is <em> 5%</em> .
Answer:
yes
Step-by-step explanation:
multiply 6 for the numerators and denominaters
46 meters in total i think
Answer:
37
Step-by-step explanation:
Anything multiplied by 0 is 0 then you just add the 37
