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3 years ago

Which choice is equivalent to the quotient shown here when x>=0 square root of 35x^5 divided by the square root of 7x^3

Mathematics

1 answer:

natita [175]3 years ago

3 0

Answer:

x√5 = x square root 5

Step-by-step explanation:

√35x^5 ÷ √7x^3 = √(35x^5 / 7x^3)

√(35x^5 / 7x^3) = √(5x^5 / x^3)

√(5x^5 / x^3) = √5x^(5-3) = √5x²

√5x² = x√5

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Sasha performs an experiment. She chooses one marble from each of three sacks. The first sack has black (B) and white (W) marble

Paladinen [302]

Answer:

Option D is correct

Step-by-step explanation:

From the question, we have:

$Sack\ 1: B, W$

$Sack\ 2: G, Y$

$Sack\ 3: S, R$

Required

The tree diagram

The selection process is as follows:

$Sack\ 1: B, W$

$Sack\ 1\ and\ Sack\ 2: B (G,Y); W(G,Y)$ -- i.e. we write sack 2 as a subset of 1

$Sack\ 1, 2\ and\ 3: B (G(S,R),Y(S,R)); W(G(S,R),Y(S,R))$ -- i.e. we write sack 3 as a subset of 2

<em>The only tree diagram that illustrates this is: option D</em>

5 0

3 years ago

Area of octagon with radius 5?

Montano1993 [528]

I got 200 from a octagon with the diameter of 10

3 0

2 years ago

Which statement best

V125BC [204]

Answer:

C. The function is increasing when x > 0.

Step-by-step explanation:

6 0

2 years ago

A line includes the points (-39,49) and (0,0). What is its equation in slope-intercept form?

malfutka [58]

Answer:

The equation in the slope-intercept form will be:

$y=-\frac{49}{39}x+0$

Step-by-step explanation:

Given the points

(-39,49)

(0,0)

Finding the slope between the points using the formula

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-39,\:49\right),\:\left(x_2,\:y_2\right)=\left(0,\:0\right)$

$m=\frac{0-49}{0-\left(-39\right)}$

$m=-\frac{49}{39}$

We know that the point-slope of the line equation is

$y-y_1=m\left(x-x_1\right)$

substituting $m=-\frac{49}{39}$ and (-39,49) in the equation

$y-y_1=m\left(x-x_1\right)$

$y-49=\frac{-49}{39}\left(x-\left(-39\right)\right)$

Now writing the equation in slope-intercept form

$y=mx+b$

where m is the slope and b is the y-intercept

$y-49=\frac{-49}{39}\left(x-\left(-39\right)\right)$

$y-49=\frac{-49}{39}\left(x+39\right)$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}$

$y-49=-\frac{49}{39}\left(x+39\right)$

$\mathrm{Add\:}49\mathrm{\:to\:both\:sides}$

$y-49+49=-\frac{49}{39}\left(x+39\right)+49$

$y=-\frac{49}{39}x+0$ ∵ $y=mx+b$

Where

$m=-\frac{49}{39}$ and the y-intercept i.e. $b=0$

Therefore, the equation in the slope-intercept form will be:

$y=-\frac{49}{39}x+0$

5 0

3 years ago

HELP ASAP PLEASE ILL GIVE BRAINIEST!!! <br> I’m stuck !!!!

rosijanka [135]

Answer:

Therefore the value of EC is 13 unit.

Step-by-step explanation:

Given:

ABCD is a Rectangle

EC = 6x + 1

AE = x +11

To Find:

EC = ?

Solution:

ABCD is a Rectangle .........Given

Diagonal of Rectangle Bisect each other. .......Property of Rectangle

$AE = EC$

Substituting the values we get'

$x+11=6x+1\\6x-x=11-1\\5x=10\\x=\dfrac{10}{2}\\\\x=2$

Substituting 'x' in EC we get

$EC=6\times 2+1=13\\EC=13\ unit$

Therefore the value of EC is 13 unit.

7 0

3 years ago