A 35 -inch long stick is cut into two pieces. If the ratio of their lengths is 2:3, how long is each piece?

Answer: U, W, Z and Y

Step-by-step explanation:

4 points are not coplanar if there does not exist any plane that contains the 4 points.

So, a plane is formed by a line and one point outside of it.

Then, we want to select the last point in such a way that it lies outside of the plane generated by the first 3 points selected.

For example:

If first we select Point U and Point W, we will have a line, as shown in the image.

Now we can select the Point  Z, that is outside the line, and now we have the plane M that you can see in the image.

Now we need to select a point that is not in the plane, the only two options are Point X and Point Y, we can select any of those two, let's take the Point Y.

So, here we have that:

Points U, W, Z and Y are not coplanar.

Answer:

1 5/36

Step-by-step explanation:

need a common denominator which would be 36

to get from 9 to 36 you multiply by 4 so 5 would be multiplied by 4 to get the fraction 20/36

do the same with 7/12 12x3 is 36 and 7x3 is 21 so 21/36

then add 20+21=41

put over 36       41/36

Find if you can lower it which you can:

41 is bigger than 36 by 5 so your ending fraction would be 1 and 5/36 because 5 and 36 don't have a common factor.

The factors of the given expression are (x-7)(2x+8). Therefore, option B is the correct answer.

The given expression is 2x²-6x-56.

How do factor the quadratic expression?

Factoring an expression means rewriting it as the product of factors.

• Write each term as the prime factorization.
• Identify the factors that all of the terms have in common.
• Multiply those common factors.

Now, the factorisation of the given expression is as follows:

By splitting the middle term method we can write the expression 2x²-6x-56 as 2x²-14x+8x-56.

=2x(x-7)+8(x-7)

=(x-7)(2x+8)

Therefore, option B is the correct answer.

To learn more about the factorisation visit:

brainly.com/question/13496719.

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