Divide: x^10/x^4. thank you very much

Answers

Answer 1

Answer: Simple,

you have $( x^(10) )/( x^(4) )$

This really means that you have...

$(x*x*x*x*x*x*x*x*x*x)/(x*x*x*x)$

just cancel out the x's that you have, it's simple...

leaving you $x^(6)$

Thus, your answer.

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Find the distance between the pair of parallel lines, y = x-11 & y = x-7

Answers

$k:\ y = x-11\ \ \ \Leftrightarrow\ \ \ x-y-11=0\n and\n l:\ y = x-7\ \ \ \Leftrightarrow\ \ \ x-y-7=0\n\nthe\ distance:\n\n d(k;l)= \frac{\big{|-11-(-7)|}}{\big{ √(1^2+1^2) }} =\frac{\big{|-11+7|}}{\big{ √(2) }} =\frac{\big{|-4|}}{\big{ √(2) }} =\frac{\big{4\cdot √(2) }}{\big{ √(2)\cdot √(2) }} =\frac{\big{4 √(2) }}{\big{2 }} =2 √(2)$

$Given \ the \ equations \ of \ two \ non-vertical \ parallel \ lines:\n\ny = mx+b_1\ny = mx+b_2\n\nthe \ distance \ between \ them \ can \ be \ expressed \ as : \n\nd= (|b_(1)-b_(2)|)/( √( m^2+1) )$

$y = x-11 \n y = x-7 \n\n\nd= (| -11- (-7)|)/( √( 1^2+1) ) =(| -11+7|)/( √( 1+1) ) = (|-4|)/( √(2) ) = (4)/( √(2) )\cdot (√(2))/(√(2))=(4√(2))/(2)=2√(2)$

-5, _____, _____, 7, 11

Answers

Answer:

the missing numbers are -1, 3,

Step-by-step explanation:

11-7=4

sooo

-5+4= -1

-1+4=3

Help me im having trouble on slopes

Answers

Answer:

The slope-intercept form of an equation looks like this: y=mx+b

The m stands for the slope and the b stands for the y-intercept.

We need two points from the line to write out this equation.

For example (-2,0) and (1,2)

Now that we have the slope, we can plug it into our equation: y= 2/3x + b

To get b, our y-intercept, we just need to plug in one of the points found and solve. For example (-2,0)

Now that we have both our m and b values, we can plug them in to get our equation: y=2/3x + 4/3

Step-by-step explanation:

$m= (y1-y2)/(x1-x2) = (0-2)/(-2-1)$

$m=(-2)/(-3) = (2)/(3)$

$0=(2)/(3)(-2)+b$

$0=-(4)/(3)+b\n 0+(4)/(3)=-(4)/(3)+(4)/(3)+b\n 0+(4)/(3)=b\n (0*3)/(3)+(4)/(3)=b\n (4)/(3)=b$

An object is sold for $2 but is on sale for 40% off. What is the final price?

Answers

5 cents or $1.20 I'm not fully sure but it's one of the two

Find the range for the measure of the third side of a triangle given the measures of two sides.

Answers

Answer:

1.625 (1 5/8)

Side 1-4

Step-by-step explanation:

Hi I just need help finding x in this math equation:x/2 + x/4 = 12
Also please explain. Thanks!

Answers

x/2 +x/4 =12
(1/2+1/4)x= 12
3/4x =12
by multiple both sides by 4/3
so x = 16

x/2 + x/4 = 12
Find the LCD, which is 4.
2x/4 + x/4 = 12
3x/4 = 12
Multiply both sides by 4 to remove the fraction.
3x/4 • 4 = 12 • 4
3x = 48
To find x, divide both sides by the coefficient of x, which is 3.
3x/3 = 48/3
x = 16

Check:
16/2 + 16/4 = 12
2(16)/4 + 16/4 = 12
32/4 + 16/4 = 12
8 + 4 = 12
12 = 12

Thus, the answer to x is 16.

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