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Amanda [17]
3 years ago
15

What is the quotient in simplified form ? Need help please

Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0

Answer:

  -\dfrac{4a^{12}b^8}{5}

Step-by-step explanation:

The applicable rules of exponents are ...

  \dfrac{1}{a^{-b}}=a^b\\\\a^ba^c=a^{b+c}

Your ratio simplifies to ...

  \dfrac{-8a^8b^{-2}}{10a^{-4}b^{-10}}=-\dfrac{4}{5}a^{8-(-4)}b^{-2-(-10)}\\\\=-\dfrac{4a^{12}b^8}{5}

_____

Please note that simplifying the constants, -8/10 to -4/5, eliminates half the answer choices. Since exponents are only multiplied when a power is raised to a power, you can pretty much eliminate the second choice as being unreasonable. ((a^b)^c = a^(bc))

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Answer:

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Step-by-step explanation:

The tick marks show that they are congruent by SSS

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2 years ago
1) Write an equation in slope-intercept form of the line with slope of 6 and y-intercept of -3. Then graph the line. 2) Write an
asambeis [7]

Answer:

An equation in the slope-intercept form is:

y = a*x + b

Where a is the slope, and b is the y-intercept.

a)

Here we have a slope of 6 and a y-intercept of -3

Then the equation is:

y = 6*x - 3

Now we want to graph this.

To graph it, we first need to find two points (x, y) that belong to this equation, then we can graph the points, and connect them with a line.

To find the points, we evaluate in two different values of x.

x = 0

y = 6*0 - 3 = -3

Then we have the point (0, -3)

x = 1

y = 6*1 - 3 = 3

Then we have the point (1, 3)

The graph of this line can be seen in the image below (the red one)

b) Similar to before, here the slope is -3/5, then the equation is something like:

y = (-3/5)*x + b

Now we also know that the line passes through the point (-10, 8)

This means that when x = -10, we must have y = 8

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8 = 6 + b

8 - 6 = 2 = b

Then this equation is:

y = (-3/5)*X + 2

The graph can be found in the same way as before, the graph of this function can also be seen in the image below (the green one)

6 0
2 years ago
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\huge\color{yellow}\boxed{Question}

<h3>A glass of lemonade took 2 1/2 scoops of sugar to make in it. If you wanted to make 3 glasses how many scoops of sugar would you need</h3>

<h3>\huge\color{red}\boxed{Answer}</h3>

<h3>First,</h3><h3>Change the fraction to decimal. 2½=2.5</h3><h3 /><h3>Second,</h3><h3>Simply Multiply it by 3! 2.5×3=7.5</h3>

<h3>Therefore, you need 7.5 (7½) scoop of sugar to make 3 glasses of lemonade.</h3>
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