Compute the permutations and combinations.From a committee consisting of 5 men and 6 women, a sub-committee is formed consisting of 4 men and 3 women. How many different subcommittees are possible?
100
360
600
Answers
From 5 men you can form 5x4x3x2 /(4!) different committes of 4 men = 5 different committes.
From 6 women, you can form 6x5x4 / (3!) different committes of 3 women = 20 different committes.
Total combinations: 5 x 20 = 100.
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A y = 12x + 55
By = 12x + 165
Cy 55x + 12
Dy - 165x + 12
А
B
Answers
Answer:
The answer is B!
Hope you do Great!
Step-by-step explanation:
Answer:
B 12x + 165
Step-by-step explanation:
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Answer:
mp3 your welcome
Step-by-step explanation:
smile all day
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Give the coordinates of the image triangle A'B'C' after a 90° counterclockwise rotation about the origin.
Answers
Answer: A'(-2, -3), B'(-4, 0), C'(-6, -10)
Step-by-step explanation:
To rotate a point (x, y) counterclockwise by 90 degrees about the origin, we can use the following formulas:
x' = -y
y' = x
Let's apply these formulas to each vertex of triangle ABC:
For point A(-3, 2):
x' = -2
y' = -3
So, the coordinates of A' are (-2, -3).
For point B(0, 4):
x' = -4
y' = 0
So, the coordinates of B' are (-4, 0).
For point C(-10, 6):
x' = -6
y' = -10
So, the coordinates of C' are (-6, -10).
Therefore, after a 90° counterclockwise rotation about the origin, the coordinates of the image triangle A'B'C' are A'(-2, -3), B'(-4, 0), and C'(-6, -10).
I hope this helps :)
Answers
The equation of the line in slope-intercept form is:
Where,
m: slope of the line
b: cutting point with the y axis.
For the slope of the line we have:
Substituting values we have:
Rewriting we have:
Then, we choose an ordered pair:
Substituting values in the generic equation of the line we have:
Rewriting we have:
Answer:
The equation of the line in slope-intercept form is:
Answer:
y =
Step-by-step explanation:
The slope-intercept form is y = mx + b, where "m" is the slope and 'b" is the y-intercept.
Given: G(-6, -4) and E(4, 8)
Now we can use these points G(-6, -4) and E(4, 8) and find the slope.
Slope (m) =
Here x1 = -6, y1 = -4, x2 = 4 and y2 = 8
Plug in these values in the above formula, we get
slope(m) =
=
Slope (m) =
Now we can use the formula (y - y1) = m(x - x1) and find the required equation.
We can plug in m value and (x1, y1) value and find the equation.
y - (-4) = 6/5(x - (-6))
y + 4 = 6/5(x + 6)
Using the distributive property a(b + c) = ab + ac, we get
y + 4 = 6/5 x + 36/5
y = 6/5 x + 36/5 - 4
y =6/5 x +(
y =
when b in the quadratic formula is greater than the radicand
when the radicand equals zero
when the radicand is not a perfect square
Answers
d = b2 - 4acwhen there are two identical real roots, then the discriminant is equal to zero. The answer is C.
Answer:
When the radical equals 0 or C.
Step-by-step explanation: I got it right on a test.