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3 years ago

six runners are entered in a race.Assume there are no ties In how many ways can first and second place be awarded

1 answer:

7 0

P(6,2) = 6!/(6-2)!
P(6,2) = 6!/4! 6! = 1*2*3*4*5*6 4! = 1*2*3*4
P(6,2) = (1*2*3*4*5*6)/(1*2*3*4)
P(6,2) = (5*6)/1
P(6,2) = 30
I hope this makes sense. Let me know if you don't understand any of this. ☺♥

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Need help thank you very much

Zarrin [17]

Answer:

a) - 9/2 or -0,45

b) - 3/5 or -0,6

c) -4

d) 1

e) -2

d) 0

Step-by-step explanation:

4 0

2 years ago

Suppose the lengths of two sides of a right triangle are represented by 2x and 3 (x + 1), and the longest side is 17 units. Find

densk [106]

Answer:

x=4

Step-by-step explanation:

Step 1:-

given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.

AB = 2x and BC = 3(x+1) and longest side AC= 17

by using Pythagoras theorem

$AC^2 = AB^2 + BC^2$

step 2:-

The hypotenuse is longest side is AC = 17 units

(17)^2 = 4x^2 +9(X+1)^2

on simplification, we will use formula

$(a + b)^2 = a^2 +2ab+b^2$

289 = 4x^2 +9(x^2+2x+1)

$13x^2 +18x-280 = 0$

finding factors 70 X 52 = 3640

$13x^2 +70x-52x-280 = 0$

$13x^2 -52x+ 70x-280 = 0$

Taking common , we get

13x(x-4)+70(x-4)=0

x-4=0 and 13x+70=0

x=4 and $13x =-70$

x=4 and $x=\frac{-70}{13}$

we can not choose negative value so x value is 4

Final answer:- x = 4

verification:-

$AC^2 = AB^2 + BC^2$

289 = 4(4)^2+9(4+1)^2

289 = 64 +9(25)

289=289

6 0

3 years ago

Read 2 more answers

Please help ASAP I am so confused

mixer [17]

Here are the steps, hope it helps!

3 0

3 years ago

Read 2 more answers

the table shows miles driven by a car and the gallons of gas used to drive those miles. how many miles did the car travel on a g

yawa3891 [41]

Answer:

May we see the graph?

Step-by-step explanation:

6 0

3 years ago

Solve the following system of equations graphically on the set of axes below. y=x 1 y=-1/2 -8 PLEASE HELP ME QUICKLY

postnew [5]

Step-by-step explanation:

y=x+1

y= -½x -8

x+1= -½x -8

1½x= -9

x = -9/ 1½

x = -6

y = -6+1 = -5

the solution (-6, -5)

7 0

2 years ago