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3 years ago

What is the simplest form of the radical expression?

1 answer:

7 0

I believe the equation is
$4 \sqrt[4]{2x} + 6 \sqrt[4]{2x}$
In this case, you would simplify it by adding them together.
$4 \sqrt[4]{2x} + 6 \sqrt[4]{2x}$ = $10 \sqrt[4]{2x}$
And can even be changed to an exponential equation:
$10(2x)^{ \frac{1}{4} }$

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PLS HELP!!! factor: a. 16b^2c^12-0.25 b. 81x^6y^2-0.36a^2

mafiozo [28]

Answer:

Step-by-step explanation:

a. 16b^2c^12-0.25 can be rewritten as follows because it is the difference of two squares:

(4bc^6 - .5)(4bc^6 + .5)

b. 81x^6y^2-0.36a^2

is the difference of two squares, just like (a) (above); its factors are:

(9x^3y - 0.6a)(9x^3y + 0.6a)

7 0

3 years ago

What is the distance between the two points (5,-2) and (-3,8)

bearhunter [10]

You need to use the distance formula
$d = \sqrt{ {(x - x)}^{2} + {(y - y)}^{2} }$

$\sqrt{ {(5 + 3)}^{2} + {( - 2 - 8)}^{2} }$
so the distance between points (5,-2) and (-3,8) is
$2 \sqrt{41}$
which won't simplify so it stays as is

4 0

3 years ago

Solve x2 – 8x = 3 by completing the square. Which is the solution set of the equation?

vazorg [7]

Answer:

x = 4 ± $\sqrt{19}$

Step-by-step explanation:

Given

x² - 8x = 3

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 3 + 16

(x - 4)² = 19 ( take the square root of both sides )

x - 4 = ± $\sqrt{19}$ ( add 4 to both sides )

x = 4 ± $\sqrt{19}$

8 0

3 years ago

Read 2 more answers

PLZ HURRY IT'S URGENT!!!! Find the volume of the prism.

harina [27]

Answer:

Step-by-step explanation:

5 0

3 years ago

Which is the graph of the solution set of −2x + 5y > 15? Image for option 1 Image for option 2 Image for option 3

Masteriza [31]

To make that graph you follow these steps.
1) Set the cartesian coordinate system:
- vertical axis: y
- horizontal axis: x
- positive x-semi axis: to the right
- negative x-semi axis: to the left
- positive y-semi axis: upward
- negative y semi axis: dwonward

2) solve the inequality for y:
given:                   -2x + 5y > 15
transpose-2x:            5y > 15 + 2x
divide by 5:                  y > 3 + (2/5)x

3) Graph

- draw the line y = 3 + (2/5)x, using a dotted line (i.e. - - - - - -)
- remember that 3 is the y intercept, and 2/5 is the slope
- the line is dotted because the solution does not include the points in the line.

- the solution is the region above and to the left of the dotted line.

4) See the figure attached for better visualization: the pink region is the solution of the inequality.

8 0

4 years ago

Read 2 more answers