Hi, how did they get -500? And what do I do for the A part because i know it’s not to solve it since that’s what you do in B so I’m a bit confused please help. Thank you

Explainations to part A is written below.

Part B : x = 25 is the solution as length cannot be negative.

Step-by-step explanation:

Hey there, it's pretty simple!

The formula for the volume of a cube is

Volume = Length × Width × Height.

Let's assume length = x, height = 2x - 30, and width as 10

also note that volume is 5000, plugging this into the equation, we get

(x)(10)(2x - 30) = 5000

10x (2x-30) = 5000

x(2x-30) = 500

(this is how they got 500 and hence the -500 when we shift this to another side to create a quadratic equation).

2x^2 - 30x = 500

2x^2 - 30x - 500 = 0

Part b)

Factoring 2(x^2 - 15x - 250) = 0, we get

2 (−25) (+10)

tadah!

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

$9.89

step-by-step explanation:

9.90 = p x .06 x .25 (3/12 changed to a decimal)

9.90 = p x 0.015

9.90 - 0.015 = p

9.89 = p