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3 years ago

Factor: 64v^4 - 225w^10

Mathematics

1 answer:

love history [14]3 years ago

6 0

Answer:

( $8v^2-15w^5)(8v^2+15w^5)$

Step-by-step explanation:

STEP 1:

$8^{2}$ $v^{2*2}$ - $15^{2}$ $w^{2*5}$

STEP 2:

$8^{2}$ * $(v^{2})^{2}$ - $15^{2} * (w^{5})^{2}$

STEP 3:

$(8v^2)^2 - (15w^5)^2$

STEP 4:

( $8v^2-15w^5)(8v^2+15w^5)$

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Find the volume of the prism.

Alex_Xolod [135]

Answer:

c. 120 units^3

Step-by-step explanation:

L x W x H = V

3 x 4 / 2 = 6

6 x 20 = 120

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3 years ago

Mi padre compró un radio por cierta suma de dinero, un televisor que costó 10 veces más que el radio y un reproductor cuyo preci

Maru [420]

Answer:

For radio = $40.43

Television = $444.73

Player = $364.73

Step-by-step explanation:

The computation of the each device cost is shown below:

let us assume the following things

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television x + 10x

player x + 10x - $80

Now the equation is

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Television = $40.43 + 10(40.43)

= $40.43 + $404.3

= $444.73

and, the player would be

= $444.73 - $80

= $364.73

7 0

3 years ago

The equation of the line WX is 2X plus Y equals -5 what is the equation of a line perpendicular to line WX in slope intercept fo

tensa zangetsu [6.8K]

Answer:

$y = \frac{1}{2}x - \frac{3}{2}$

Step-by-step explanation:

The equation of the line WX is, 2x + y = - 5

⇒ y = - 2x - 5 .......... (1)

This equation is in slope-intercept form and the slope is - 2 and the y-intercept is - 5.

Now, if a line perpendicular to equation (1) having slope m then, m × (- 2) = - 1

⇒ $m = \frac{1}{2}$

{Since the product of slopes of two mutually perpendicular straight line is - 1}

Therefore, the equation of the perpendicular line is

$y = \frac{1}{2}x + c$ , where c is a constant and we have to find it.

This above line passes through the point (-1,-2) and hence

$- 2 = \frac{1}{2}(- 1) + c$

⇒ $c = - \frac{3}{2}$

Therefore, the equation of the line will be $y = \frac{1}{2}x - \frac{3}{2}$ (Answer)

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4 years ago

You employ 28 people making an average of $33,000 per year. You want to give every employee a 5% increase for next year. What wi

PilotLPTM [1.2K]

I think the average would increase by $1,650. 5% of 33000 is 1,650. So the the total amount would increase by that.

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3 years ago

Y= - x^2 + 4x + 6 in vertex form

serg [7]

<h3>HI THERE!</h3>

$\rm \color{lime}(2,10)$

step-by-step explanation:

$\rm \color{lime}y = - {x}^{2} + 4x + 6$

identify the coefficients

<h2 /><h2> $\rm \color{lime}a = - 1,b = 4$ </h2>

substitute the coefficient into the expression
find the x-coordinate of the vertex by substituting a = - 1 and b=4 
 $\tt \tiny \: x = - \frac{b}{29}$

 $\rm \color{lime}x = - \frac{4}{2x( - 1)}$ 

solve the equation for X
find the y-coordinate of the vertex by evaluating the function for x = 2

 $\rm \color{lime}y = - {x}^{2} + 4x + 6,x = 2$ 

calculate the function value for x = 2

$\rm \color{lime}y = 10$

since the value of the function is 10 for x = 2 the vertex of the graph of the quadratic function is a (2,10)

 $= \rm \color{hotpink} (2,10)$ 

hope it helps

4 0

3 years ago

Read 2 more answers