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Expand (x-2) (x-1). Must be in polynomial form.

Ludmilka [50]

To expand two terms such as these, we can use the method called FOIL (stands for First, Outer, Inner, Last). Here is what I mean:

We have two terms: (x - 2)(x - 1)

We should first multiply the First two terms of each term in order to complete the F stage:

(x)*(x) = $x^{2}$

So then, we take the two outer terms and multiply them together to complete the O stage:

(x)*(-1) = -x

So far we have two things that we have calculated; at the end of the FOIL process we will have four.

To keep going with the FOIL, we now multiply the two inner terms to complete the I stage:

(-2)*(x) = -2x

Last but not least, we need to complete the L stage - so we multiply the two last terms of each term:

(-2)*(-1) = 2

Now that we have our four terms, let us add them together and combine like terms:

$x^{2} + (-x) + (-2x) + 2$

Since -x and -2x both have the x portion in common and they are added together, we can add them to create one single term:

-x + (-2x) = -3x

So now that we have our terms completed, we can combine into one polynomial equation:

$x^{2} + (-3x) + 2$ or $x^{2} -3x+2$

6 0

3 years ago

Evaluate the expression 3.14(a2 + ab) when a = 4 and b = 3. (Input decimals only, such as 12.71, as the answer.)

Natasha2012 [34]

Answer:

87.92

Step-by-step explanation:

3.14(a² + ab) where a = 4 and b = 3

Plug the given numbers into the appropriate values. Remember to follow PEMDAS.

3.14((4)² + (4)(3))

3.14(16 + 12)

3.14(28)

87.92

5 0

3 years ago

What's -3 1/8 divided by -1 2/3?

choli [55]

1.875 is what you are looking for.

4 0

3 years ago

Read 2 more answers

Help, I don't remember

GenaCL600 [577]

Answer:

x = 144

Step-by-step explanation:

What you need to remember about this geometry is that all of the triangles are similar. As with any similar triangles, that means ratios of corresponding sides are proportional. Here, we can write the ratios of the long leg to the short leg and set them equal to find x.

x/60 = 60/25

Multiply by 60 to find x:

x = (60·60)/25

x = 144

_____

<em>Comment on this geometry</em>

You may have noticed that the above equation can be written in the form ...

60 = √(25x)

That is, the altitude from the hypotenuse (60) is equal to the geometric mean of the lengths into which it divides the hypotenuse (25 and x).

This same sort of "geometric mean" relation holds for other parts of this geometry, as well. The short leg of the largest triangle (the hypotenuse of the one with legs 25 and 60) is the geometric mean of the short hypotenuse segment (25) and the total hypotenuse (25+x).

And, the long leg of the large triangle (the hypotenuse of the one with legs 60 and x) is the geometric mean of the long hypotenuse segment (x) and the total hypotenuse (25+x).

While it can be a shortcut in some problems to remember these geometric mean relationships, you can always come up with what you need by simply remembering that the triangles are all similar.

3 0

3 years ago

In the diagram below of triangle UVW, X is a midpoint of UV and Y is a midpoint

NeTakaya

Step-by-step explanation:

Given: X is midpoint of UV and Y is midpoint of VW.

$\therefore XY || UW$

(By mid-point theorem)

$\therefore \angle XYV \cong \angle UWY\\.. (corresponding\: \angle 's) \\\therefore m\angle XYV = m\angle UWY\\\therefore 98 - 6x = 63- x\\\therefore 98 - 63= 6x- x\\\therefore 35= 5x\\\\\therefore x = \frac{35}{5}\\\\\huge \orange {\boxed {\therefore x = 7}} \\\\m\angle UWY = (63 - x) °\\\\\therefore m\angle UWY = (63 - 7) °\\\\\huge \purple {\boxed {\therefore m\angle UWY = 56 °}}$

5 0

3 years ago

Answer the questions​

Answer the questions