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mote1985 [20]
2 years ago
13

I need help with this question

Mathematics
2 answers:
d1i1m1o1n [39]2 years ago
6 0
The answer is: 1/64

The only advice I can give you when solving such problems is to memorize your exponent rules.


The exponent rules I used to solve this problem was the quotients rule and the negative exponents rule.


Quotients rule: x^m/x^n= x^m-n

Negative Exponents rule: x^-n= 1/x^n

laiz [17]2 years ago
5 0

Answer:

Option B 1/64

Step-by-step explanation:

\frac{4^{-\frac{11}{3} } }{4^{-\frac{2}{3} } } =4^{-11/3+2/3} =4^{-9/3} =4^{-3} =\frac{1}{4^{3} }=\frac{1}{64}

Hope this helps

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write the equation of a line in slope intercept form that passes through (2 -2) and is parallel to 2x+4y=8
Ne4ueva [31]

Answer:

y= -1/2x-1

Step-by-step explanation:

1) put the equation in y-intercept form to find the slope of the original line 2x+4y=8

y=8/4-2x/4

y=2-1/2x

slope of second line will be -1/2

2) put point into the point-slope form (2,-2)

y-(-2)= -1/2(x-2)  now simplify

y+2= -1/2x+2/2

y+2 = -1/2x + 1

y+2-2=-1/2x + 1 -2 ====>>>>  y= -1/2x-1

8 0
3 years ago
8x + 20y = 20<br> 14x + 35y = k<br> For the above system of equations to be consistent, k must equal
Goshia [24]

Answer:

  35

Step-by-step explanation:

The equations will be "consistent" when they describe lines that are not parallel.

<h3>Slopes</h3>

The slope of a line whose equation is written in this form is the opposite of the ratio of the y-coefficient to the x-coefficient:

  line 1 slope = -8/20 = -2/5

  line 2 slope = -14/35 = -2/5

These lines have the same slope, so will be parallel unless they have the same y-intercept.

<h3>Y-intercept</h3>

The y-intercept of each line is the ratio of the constant to the y-coefficient:

  line 1 y-intercept = 20/20 = 1

  line 2 y-intercept = k/35

We want these lines to have the same y-intercept so that they are not inconsistent. This requires ...

  k/35 = 1

  k = 35

For the equations to be consistent, we must have k = 35.

__

<em>Additional comment</em>

Linear equations are generally categorized as "consistent" or "inconsistent," and "dependent" or "independent."

Equations are "inconsistent" if there are no values of the variables that satisfy all of the equations. They are "dependent" if they describe exactly the same relation between the variables. "Consistent" equations may be "dependent" (describing the same line, as here), or "independent" (describing lines with different slopes.)

7 0
2 years ago
A square with side lengths of 3x + 3. An equilateral triangle with side lengths of 5 x + 0.5. The perimeters of the square and t
aleksklad [387]

Answer:

1) 4(3x+3)=3(5x+0.5)

2) 3.5

3) 54 units

4 0
3 years ago
Read 2 more answers
An airplane covers 94 miles in 1/6 of an hour. How many miles the plane can cover in 6 hours?
jeyben [28]

Let's find what 1/6 of an hour is.

1/6×60=10

So, ten minutes is equal to 1/6 of an hour. Let's find hour many sets of 10 minutes are in six hours. Let's first find the amount of minutes.

6×60=360

360÷10

36

Let's multiply that by 94.

94×36

3,384 miles in 6 hours.

7 0
3 years ago
Read 2 more answers
Simplify the expression using long division <br> (3x ^ 3 - 97x + 32) / (x ^ 2 - 32)
lisov135 [29]

Answer:

-x+32

Step-by-step explanation:

x^2 ÷ 3x^3-97x+32

3 0
3 years ago
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