Which models selecting a combination of 3 objects taken from a group of 8 items?

Mathematics

1 answer:

Natalka [10]3 years ago

6 0

The correct answer would be C.) 8C3 = 8!/(5!)3!.

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Find the coordinate that divides the directed line segment from A(-2,-4) to B(8,1) in the ratio of 2 to 3

zalisa [80]

We have that
A(-2,-4) B(8,1) 

let
M-------> the coordinate that divides the directed line segment from A to B in the ratio of 2 to 3

we know that

A--------------M----------------------B
2 3
distance AM is equal to (2/5) AB
distance MB is equal to (3/5) AB
so

step 1
find the x coordinate of point M
Mx=Ax+(2/5)*dABx
where
Mx is the x coordinate of point M
Ax is the x coordinate of point A
dABx is the distance AB in the x coordinate
Ax=-2
dABx=(8+2)=10
Mx=-2+(2/5)*10-----> Mx=2

step 2
find the y coordinate of point M
My=Ay+(2/5)*dABy
where
My is the y coordinate of point M
Ay is the y coordinate of point A
dABy is the distance AB in the y coordinate
Ay=-4
dABy=(1+4)=5
Mx=-4+(2/5)*5-----> My=-2

the coordinates of point M is (2,-2)

see the attached figure

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3 years ago

Madeline was completing the square and her work is shown below. Identify the line where she made her mistake.. . f(x) = 3x^2 + 6

MAVERICK [17]

In completing the square, the first step is to factor out the first and second term so that the factor (x+a) is highlighted. This is seen in line 1. However, in line 2, the subtracted value should be 3 so as to compensate for the added value. This affects then line 3 as well. The answer is line 2.

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3 years ago

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Help answer question 2

Effectus [21]

All you have to do is add them. So using the number line by looking at the -3 mark and find the -5 mark. Then you just add them together and you have your answer of -8!!

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An auto mechanic charges (C) an initial fee of $50 and then $40 per hour. If (h) represents hours, how much will the mechanic ch

liraira [26]

The charging rate equation for the auto mechanic is C = 50 + 40h(50 for the initial fee and 40 times h for every hour). If he works 10 hours in one day we have to plug in 10 into the hours spot, h.

C = 50 + 40(10)

Now we solve for C

C = 50 + 400

C = 450

The auto mechanic charges $450 for 10 hours.

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3 years ago

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An angle bisector is a ray starting at the vertex of an angle and divides the angle into two obtuse angles

AVprozaik [17]

False. An angle bisector is a bisector starting at the vertex and cutting an angle in half. It could be obtuse angles, but not always. It is usually two smaller angles. It is a ray, though.

I hope this helps!
~kaikers

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3 years ago