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Don't know, MS.....look back at your earier  question .....I'll answer what I can

1)  The terms are already in decreasing order

We know the opposite side and  hypotenuse....we  can use the arcsin to find x

arcsin (6/11)  ≈  33°

x - 2y  =7  →    2y  = x - 7    →  y = (1/2)x - 7/2   the slope of  t  =  (1/2)

The slope of a line perpendicuar to this   = -2

And it contains the point ( 4, -4)

Equation of p

y = -2(x - 4)  -4

y = -2x + 8 - 4

y = -2x + 4

x intersectionof these lines

(1/2) x  - 7/2 =  -2x + 4

2x + (1/2) x  = 4 + 7/2

(4/2)x + ( 1/2) x  = 8/2 + 7/2

(5/2) x  = 15/2        

x  = (15/2) ( 2/5)   =  30/10   = 3

See the graph, here :  https://www.desmos.com/calculator/s0denwkyj8

571428571429/100000000000.

incorrect it is 26

(x , y)   reflected in  the  x  axis  →  (x, -y)

(x, -y)   rotated 90°  counter-clockwise  →  (y, x)

(y , x)   reflected in the line y = x  →  (x , y) = image point

The constant term is

C(5,2)  (  10x^3)^2  * [ -1/ (2x^2) ]^3   = [ 10 * 100x^6 ] *[ -1/8 ] [ 1/x^6 ]   = -(1000/8)  = -125

A (sector)  = (1/2) r^2 θ

21  =  (1/2) r^2  ( 9/14)pi

42 = (9/14) pi r^2

42 / [ (9/14 * pi)]  = r^2

196 / (3pi) = r^2

14 / sqrt (3pi)  = r ≈ 4.6 m

B

Here's a more simple way

Amount spent on each nephew = N

Amount spent on  each  sister= N + 10

So

2N  + 3(N + 10) = 180     simplify

2N + 3N + 30   =180       subtract  30 from both sides and simplify the left side

5N  = 150    divide both sides by  5

N = $30   = amt spent on each nephew

N + 10 = $ 40  = amt spent on each sister

What is the answer Do you know

(75/2.25) * ( 1.79)  ≈  $59.66

I NEED HELP PLEASE ASAP

According to your "counting scheme", the 100th Lucas Number is:

  7 9207083984 8372253127  = Lucas Number 100

9!    * 10 *11 *12 = 12!    Take it from here ....

constant term is     -125

Width =W
Length =2W =L

L = 2W.........................(1)
2[L + W] = 168.............(2), solve for L, W

Use substitutions to get:

L=56 meters - Length of the enclosure
W=28 meters - width of the enclosure.

4 P 3 = 4! = 24

{2, 4, 6} | {2, 4, 7} | {2, 6, 4} | {2, 6, 7} | {2, 7, 4} | {2, 7, 6} | {4, 2, 6} | {4, 2, 7} | {4, 6, 2} | {4, 6, 7} | {4, 7, 2} | {4, 7, 6} | {6, 2, 4} | {6, 2, 7} | {6, 4, 2} | {6, 4, 7} | {6, 7, 2} | {6, 7, 4} | {7, 2, 4} | {7, 2, 6} | {7, 4, 2} | {7, 4, 6} | {7, 6, 2} | {7, 6, 4} (total: 24)

Well maybe not.....since the order is specified in the Q....

I think you can add the fact that the secretary VP and Pres positions can be listed in 6 different orders  (3P3)

2,073,600 ways  x 6  =........

Incorrectt Cphill

40x   and  be  written as  4*10^2  + 0*10 + x  =  400 + x

1x  can be written as    1*10  + x  =  10 + x

So we  have

[ 400 + x ] / ;[ 10 + x ] =  31     multiply both sides by 10 + x

400 + x  +  31 [ 10 + x ]    simplify

400 + x  = 310 + 31x

400 - 310  =  31x - x

90  = 30x  diivide  both sides  by 30

x = 3

Check   403 / 13 =  31

Sorry, jugoslav.....we are not  given any info as to what  the length of  legs RT and ST might be....we cannot assume that  this is a 3-4-5 right  triangle

6!  ways to list the presidential candidates  = 720

4! ways to list the vice-presidential candidates  = 24

5! ways to list the secreterial candidates = 120

So    720 * 24 * 120  = 2,073,600 ways