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3 years ago

PLEASE HELP Solve. m^-5 = 1/32 m = ________ ?

1 answer:

3 0

$a^{-n}=\frac{1}{a^n}\\\\m^{-5}=\frac{1}{32}\iff m^5=\frac{1}{\frac{1}{32}}\to m^5=32\iff m=\sqrt[5]{32}\to m=2\\\\because\ 2^5=32\\\\Answer:\boxed{m=2}$

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ExtremeBDS [4]

Distance between two points is
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So here X2 is 0 X1 is 0 as the origin is 0,0
Root of Y2-Y1 squared is what we are left with
Root of -2- -3 squared
Root of 1 squared
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5 0

3 years ago

A rectangular flying carpet is 1 1/2 m wide and 2 m long what is the area of the carpet

d1i1m1o1n [39]

Hi there! :)

Answer:

The area of the carpet is 3m².

Step-by-step explanation:

First off, the formula to calculate the area of a rectangle is this: A = L × W

Where "A" is the area, "L" the length and "W" the width.

Now that you have that, replace all the information you know in the equation in order to find the value of "A", which is what we are looking for:

- Just keep in mind that 1 1/2 is the same thing as 1.5

- The term "wide" is used to give the "width"

- The term "long" is used to give the "length"

A = L × W

A = 2 × 1.5

A = 3

There you go! I really hope this helped, if there's anything just let me know! :)

4 0

3 years ago

Find an equation for the line parallel to 3y+6X=6 and goes through the point (-3,-7) please write in y=mx+b

seropon [69]

Answer: y=-6x-25

Step-by-step explanation:

Find slope of original line by solving for y

3y+6x=6

y+6x=2

y = -6x+2 <--- we have found the slope is -6

Using y-y1 = m (x-x1) find the equation for the parallel line:

y-(-7)= -6(x-(-3)) <--- plug in the point coordinates and slope into the equation and solve for y

y+7=-6x-18

y=-6x-25

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2 years ago

Find the equation of the line through (6,8) which is parallel to the line y=4x−6.

Ratling [72]

Answer:

$y=4x-16$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when x is 0)
Parallel lines always have the same slope

1) Determine the slope (m)

$y=4x-6$

4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into $y=mx+b$ :

$y=4x+b$