CPhill

0 and 10 are the roots....and the verex is at  x = 5

So...the point   (5, -100) is on the graph

The x coordinate of the vertex  = -b/[ 2a]  = 5  →  b = -10a

And the product of the roots  = c/a.....so    0 * 10  = 0 =   c/a →  c = 0

And we know that

a(5)^2 - 10a(5)  = -100

25a - 50a  = - 100

-25a  = - 100      divide by -25 

a = 4

And b  = -10(4)  = - 40

So....the function is :

y = 4x^2 - 40x

Here's a graph :

https://www.desmos.com/calculator/lt3x4r8nt7

√[ 8.3-5.7]  *  √8.3   - 5.7  =

√ 2.6 * √8.3  -  5.7  =

√ [ 2.6 * 8.3 ] -  5.7  =

√21.58  -  5.7  ≈

-1.05457

It's my "trademark"......LOL!!!!!

See ????

756= 3^3 x 2^2 x 7

k = 3 * 7  = 21

756 (3 *7)  =  3^4 x 2^2 x 7^2  =  3^2 x 3^2 x 2^2 x 7^2  = ( 3 * 3 * 2 * 7)^2  =

(9 * 2 * 7)^2  = (126)^2

W = 42cos(50)  ≈  27 in

cos ( x) =  0.4

arcos (0.4)  = x ≈ 66.42°  + n*360°, -66.42°  + n*360°,  

We can first use this.....  [ We're using 13.413 mi......??? ]

tan (6.1)  = h/x   →  h = x*tan(6.1)

And then we have

tan (8.1) = h/ [13.413 - x]  =  [ x*tan(6.1)] / [13.413 - x] ....so we have

tan (8.1) =   [ x*tan(6.1)] / [13.413 - x]

[13.413 - x] tan (8.1)  =  x*tan(6.1)

13.413 tan (8.1) - x* tan (8.1) = x* tan (6.1)

13.413 tan (8.1) = x* tan (8.1) + x* tan (6.1)

13.413 tan (8.1)  = x * [ tan (8.1) +  tan (6.1)]

x = 13.413 tan (8.1) / [ tan (8.1) +  tan (6.1)]  ≈  7.66 mi

And the height is x*tan(6.1)  = 7.66 * tan(6.1)    ≈ .8187 mi

Here's a pic :

The distance to the middle of the square from home plate  = 63/√2  ≈ 44.55 ft

So.....we figure the angle thusly  [ it will be < 90° ]

Distance picther is from 3rd [using Law of Cosines] 

D^2  = 63^2 + [63/√2]^2  - 2(63)(63/√2)cos (45)

D =  √[ 63^2 + [47]^2  - 2(63)(47)cos (45) ]  ≈  44.615 ft

So we can use the Law of Sines to find the angle, θ

sinθ/ 63  =  sin45 / 44.615   →  sinθ = 63 *  sin45 / 44.615

arcsin  [ 63 *  sin45 / 44.615 ] = θ  ≈ 86.85°

Here's a pic :

Welcome to the forum, Yogirl....but....DO NOT give Melody ANY points...!!!

Give them to me, instead...and some of these will be coming your way......

I think you want to know this ....????

S = 1000(1 +.01/12)^300  ≈ $1283.89