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2 years ago

Which of the following is a valid exclusion for the algebraic fraction 8ab^2x/4a^2b - 8ab^2

Mathematics

1 answer:

avanturin [10]2 years ago

7 0

The valid exclusion of the algebraic fraction is (c) a =0, b =0, a =2b

<h3>How to determine the valid exclusion?</h3>

The expression is given as:

8ab^2x/4a^2b - 8ab^2

Set the denominator to 0

4a^2b - 8ab^2 = 0

Divide through by 4ab

a - 2b = 0

Add 2b to both sides

a = 2b

Hence, the valid exclusion of the algebraic fraction is (c) a =0, b =0, a =2b

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Mishka is on a long road trip, and she averages 75 mph for 2 hours while she's driving on the highway. While she's driving on si

slega [8]

If she goes 75 mph for 2 hours, that's 150 miles altogether. 45 mph for 1 hour is 45 miles, so 150 + 45 is 195 miles.

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3 years ago

The morales family is driving for Philadelphia to Boston so far they have driven 167 miles this is 129 miles less than the total

andrezito [222]

Answer:

296 miles

Step-by-step explanation:

The total distance is the sum of the distance traveled so far and the distance left to go:

167 + 129 = 296

The total distance they must travel is 296 miles.

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3 years ago

Solve for x and state the measure of the angles with an x in them

Arada [10]

Answer:

x = 83

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360

75+x+97+105 = 360

Combine like terms

x+277=360

Subtract 277 from each side

x+277-277=360-277

x = 83

5 0

3 years ago

Read 2 more answers

Find all exact solutions on [0, 2π). (Enter your answers as a comma-separated list.)

nalin [4]

Answer:

$0, \dfrac{\pi}{6}, \dfrac{5\pi}{6}, \pi$

Step-by-step explanation:

Given the equation:

$sin(x)-2sin(x) tan(x)=0$

To find:

The solutions of given equation in the range [0, 2 $\pi$ ) i.e. 0 can be in the answer but $2\pi$ can not be there in the answer.

Solution:

Taking $tan(x)$ common, we get:

$tan(x) (1-2sin(x))=0$

The solutions can be given as:

$tan(x) = 0$ OR $1-2sin(x) = 0$

Let us solve both the equations one by one:

First equation:

$tan(x) = 0\\ \Rightarrow x=0, \pi$

Second equation:

$1-2sin(x) = 0\\\Rightarrow 2sinx=1\\\Rightarrow sinx=\dfrac{1}{2}\\\Rightarrow x = \dfrac{\pi}{6}, \dfrac{5\pi}{6}$

Therefore, the answers as a comma separated list are:

$0, \dfrac{\pi}{6}, \dfrac{5\pi}{6}, \pi$

7 0

3 years ago

Which step in the construction of copying a line segment ensures that the new line segment has

Nesterboy [21]

The steps 5 and 6 in the construction of a new line segment ensures the lengths are equal.

A line segment in geometry has two different points on it that define its boundaries. Alternatively, we may define a line segment as a section of a line that joins two points.

Below are the steps for copying a line segment:

1. Let's begin with a line segment we need to copy, AB.

2. we take a point C at this stage. That will be one endpoint of the new line section, either below or above AB.

3. Now we place the the compass pointer on the point A of line segment AB.

4. We spread the compass out until point B, making sure that its breadth corresponds to the length of AB.

5. We place the compass tip on the point C created in step 2 without adjusting the compass's width.

6. We now draw a rough arc without adjusting the compass's settings. we add a point D oh the arc . The new line segment will be formed by this.

7. From C, draw a line to D;CD thus formed is equal to AB.

Hence steps 5 and 6 are the steps in the construction of a new line segment which ensures the lengths are equal.

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5 0

1 year ago