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zubka84 [21]
3 years ago
6

A pet store sells aquariums that are rectangular prism the volume v of the aquarium is given by the formula V equals l w h where

L is the length W is the width and h is too height so the formula of H
Mathematics
1 answer:
brilliants [131]3 years ago
3 0

For this case we have:

The volume of the aquarium, given by a rectangular prism, is:

V = l * w * h

Where:

  • l: It is the length of the aquarium
  • w: It is the width of the aquarium
  • h: It's the height of the aquarium

If we want to clear the height of the aquarium, we must divide both sides of the volume equation between l * w, so we have:

\frac{V}{(l*w)}=\frac{l*w*h}{(l*w)}

\frac{V}{(l*w)}=h

Thus, the height of the aquarium is given by: h=\frac{V}{(l*w)}

Answer:

h=\frac{V}{(l*w)}


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Axis of sym: x =
marta [7]

Answer:

<h2>SEE BELOW</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • quadratic function
  • PEMDAS
<h3>let's solve:</h3>

vertex:(h,k)

therefore

vertex:(-1,4)

axis of symmetry:x=h

therefore

axis of symmetry:x=-1

  • to find the quadratic equation we need to figure out the vertex form of quadratic equation and then simply it to standard form i.e ax²+bx+c=0

vertex form of quadratic equation:

  • y=a(x-h)²+k

therefore

  • y=a(x-(-1))²+4
  • y=a(x+1)²+4

it's to notice that we don't know what a is

therefore we have to figure it out

the graph crosses y-asix at (0,3) coordinates

so,

3=a(0+1)²+4

simplify parentheses:

3 = a(1 {)}^{2}  + 4

simplify exponent:

3 =  a + 4

therefore

a =  - 1

our vertex form of quadratic equation is

  • y=-(x+1)²+4

let's simplify it to standard form

simplify square:

y =  - ( {x}^{2}  + 2x + 1)  + 4

simplify parentheses:

y =  -  {x}^{2}  - 2x - 1 + 4

simplify addition:

y =  -  {x}^{2}  - 2x + 3

therefore our answer is D)y=-x²-2x+3

the domain of the function

x\in \mathbb{R}

and the range of the function is

y\leqslant 4

zeroes of the function:

-  {x}^{2}  - 2x + 3 = 0

\sf divide \: both \: sides \: by \:  - 1

{x}^{2}  + 2x - 3 = 0

\implies \:  {x}^{2} +   3x  - x  +  3 = 0

factor out x and -1 respectively:

\sf \implies \: x(x + 3)   - 1(x  + 3 )= 0

group:

\implies \: (x - 1)(x + 3) = 0

therefore

\begin{cases} x_{1} = 1 \\  x_{2}  =  - 3\end{cases}

4 0
3 years ago
Scarlett is trying to find the height of a dam. She stands 90 meters away from the dam and records the angle of elevation to the
andrew-mc [135]
90(tan26) + 1.65 = about 107.7378 meters
3 0
3 years ago
Complete the square than convert to vertex form. y=2x^2+8x-9​
8_murik_8 [283]

y=2x^2+8x-9\\D=b^2-4ac\\D=64-4(2)(-9)\\D=64+72 > 0

There are 2 roots so the only way to complete the square is,

y=2x^2+8x-9\\y=2[(x^2+4x)]-9\\y=2[(x^2+4x+4)-4]-9\\y=2[(x+2)^2-4]-9\\y=2(x+2)^2-8-9\\y=2(x+2)^2-17

Just factor 2 out of 2x^2+8x (just ignore the -9) then find the number that will make the terms be able to complete the square.

then complete the square and multiply 2 inside the brackets.

subtraction as you already get the vertex form and know how to complete the square.

Vertex Form: y=2(x+2)^2-17

3 0
3 years ago
What is the volume of the pyramid?<br> 10 in<br> 120 in<br> 320 in<br> 480 in<br> 960 in.
QveST [7]

Answer:

320

Step-by-step explanation:

THe formula is (lwh )*3

l is length

w is width

h is height

6 0
3 years ago
2x=24−2 Find value of x​
Alja [10]

Answer:

\sf\longmapsto \: x = 11

Step-by-step explanation:

\sf\longmapsto \: 2x = 24 - 2

\sf\longmapsto \: 2x = 22

\sf\longmapsto \: x =  \frac{22}{2}

\sf\longmapsto \: x = 11

6 0
2 years ago
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