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LenKa [72]
3 years ago
12

1. For a 30 student speech course, in how many ways can the student be selected to give the first 5 speeches?

Mathematics
1 answer:
liraira [26]3 years ago
8 0

Combination problem:

1) 30 C 5 = 142506

2) 13 C 4 = 715

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A line passes through the points (-1, -1)
Allisa [31]

Given:

A line passes through the points (-1, -1) and (5,8).

To find:

Which points lie on the same line?

Solution:

If a line passes through two points, then the equation of the line is:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

A line passes through the points (-1, -1) and (5,8). So, the equation of the line is:

y-(-1)=\dfrac{8-(-1)}{5-(-1)}(x-(-1))

y+1=\dfrac{8+1}{5+1}(x+1)

y+1=\dfrac{9}{6}(x+1)

y+1=\dfrac{3}{2}(x+1)

Multiply both sides by 2.

2(y+1)=3(x+1)

2y+2=3x+3

2y=3x+3-2

y=\dfrac{3}{2}x+\dfrac{1}{2}

So, the equation of the line is y=\dfrac{3}{2}x+\dfrac{1}{2}.

Now, check each point for this equation.

Putting x=-3, we get

y=\dfrac{3}{2}(-3)+\dfrac{1}{2}

y=\dfrac{-9+1}{2}

y=\dfrac{-8}{2}

y=-4

Similarly,

For x=9,y=15.

For x=1,y=2.

For x=4,y=6.5.

For x=3,y=5.

For x=-2,y=-2.5.

Therefore, the points (-3,-4), (9,14), (1,2) and (3,5) lie on the same line but the points (4,7) and (-2,-2) are not on that line.

6 0
3 years ago
Converting measures 48ft= yd​
Vera_Pavlovna [14]

Answer:

48 Feet (ft) 16.000 Yards (yd)

1 ft = 0.333333 yd 1 yd = 3.000000 ft

Step-by-step explanation:

5 0
3 years ago
Solve for n: a= p(1+nr)
Harrizon [31]
N=    1     a          this is the answer hope i helped
     -  _ +  _
         r      pr
8 0
3 years ago
Read 2 more answers
What is the positive solution to 4x2 + 2x= 42? NEED HELP
VikaD [51]

Answer:

Step-by-step explanation:

first multiply 4 X 2= 8

8+2x=42

Now you are going to pass 8 to the other side by adding -

2x=42-8

2x=34

Now you are going to divide 34 between 2 to eliminate the 2 multiplying in the other side. 34 between 2= 17

X=17

Hope this helps :)

7 0
3 years ago
Explain how you can use a quick picture to find 3 x 2.7
Nat2105 [25]
3 x 2.7 is the same as 3 x 3 x 0.9 = 9 x 0.9 = 8.1
8 0
3 years ago
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