All categories

3 years ago

Write this expression in radical form (27m^6)^4÷3

Mathematics

1 answer:

Gnoma [55]3 years ago

5 0

Answer:

Step-by-step explanation:

You might be interested in

Evaluate the definite integral

Georgia [21]

$\displaystyle\int_{x=9}^{x=10}x\sqrt{x-9}\,\mathrm dx$

Let $y=x-9$ , so that $x=y+9$ and $\mathrm dx=\mathrm dy$ . The integral is then equivalent to

$\displaystyle\int_{y=0}^{y=1}(y+9)\sqrt y\,\mathrm dy=\int_0^1(y^{3/2}+9y^{1/2})\,\mathrm dy=\dfrac{32}5$

7 0

3 years ago

Susan bought 12 ounces of candy. How many pounds did she buy? Show the proportions needed

DedPeter [7]

Answer:

If Susan bought 12 ounces that would equal to .75 pounds

Step-by-step explanation:

4 0

3 years ago

For the past 5 years, Frank and Peggy have deposited $15,000 in a retirement account with a simple interest rate of 7%. They pla

VMariaS [17]

next 25 years addition of 1050x25 = $26250 they

will get

8 0

3 years ago

Read 2 more answers

Find an equation for the perpendicular bisector of the line segment whose endpoints

TEA [102]

Answer:

y= -2x -8

Step-by-step explanation:

I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.

A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).

Let's find the gradient of the given line.

$\boxed{gradient = \frac{y1 -y 2}{x1 - x2} }$

Gradient of given line

$= \frac{1 - ( - 5)}{3 - ( - 9)}$

$= \frac{1 + 5}{3 + 9}$

$= \frac{6}{12}$

$= \frac{1}{2}$

The product of the gradients of 2 perpendicular lines is -1.

(½)(gradient of perpendicular bisector)= -1

Gradient of perpendicular bisector

= -1 ÷(½)

= -1(2)

= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.

$\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }$