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zalisa [80]
3 years ago
5

Which expression is equivalent to the expression shown below

Mathematics
2 answers:
bulgar [2K]3 years ago
8 0

Answer:

The expression is not on the question

Step-by-step explanation:

german3 years ago
5 0

Answer:

where is it

Step-by-step explanation:

?

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Really need help with this pls help!!
worty [1.4K]

Let's carry this math sentence over to its natural, "shapey" element. We're going to look at each term not as an ordinary number, but as <em>the area of some shape</em>.

x² (read as "x <em>squared"</em>) can be seen as the area of a square with side lengths of x. 2x can similarly be seen as the area of a <em>rectangle </em>with a length of x and a width of 2. (Picture 1)

What's our question actually asking, though? Something about <em>perfect squares</em>. More specifically, we're looking for something to add on that'll <em>make this thing a perfect square</em>. We're trying to find a missing piece we can slot in to make a square, in other words. Problem is, our shapes don't look much like a square if we put them together right now. We need to do a little cutting and gluing first.

First, we're gonna cut the 2x rectangle lengthwise, getting two rectangles with an area of x, a length of 1, and a width of x. Next, we're going to attach them to the x² square, creating this shape that looks, strangely, like a square with a little bit missing from it (picture 2). What we're trying to do is <em>complete this square, </em>to find the area of that little missing chunk.

As it turns out, we have all the information we need for this. Notice that, using the lengths of the x rectangles, we can find that the square's dimensions are 1 x 1, which means that its area is 1 x 1  = 1.

If we tack this new area on to our original expression, we've "completed the square!" We now have a perfect square with side lengths of (x + 1) and an area of (x + 1)² (picture 3).

So, our final expression is x² + 2x + 1, and the missing constant - the area of the "missing square" we had to find to complete our larger one - is 1.

5 0
3 years ago
Read 2 more answers
Which of the following is an example of the difference of two squares
True [87]

Complete Question: Which of the following is an example of the difference of two​ squares?

A x² − 9

B x³ − 9

C (x + 9)²

D (x − 9)²

Answer:

A. x^2 - 9.

Step-by-step explanation:

An easy way to spot an expression that is a difference of two squares is to note that the first term and the second term in the expression are both perfect squares. Both terms usually have the negative sign between them.

Thus, difference of two squares takes the following form: a^2 - b^2 = (a + b)(a - b).

a² and b² are perfect squares. Expanding (a + b)(a - b) will give us a^2 - b^2.

Therefore, an example of the difference of two squares, from the given options, is x^2 - 9.

x^2 - 9 can be factorised as x^2 - 3^2 = (x + 3)(x - 3).

8 0
3 years ago
Use Newton's method to approximate a root of the equation 3x^7+2x^4+3=0 Let x1 =1 be the initial approximation. The second appro
liubo4ka [24]

Answer:

3.3

Step-by-step explanation:

logging in and answering

5 0
3 years ago
Jefferson is plotting the vertices of an isosceles right triangle on a coordinate graph. He has plotted the two points shown. Wh
DENIUS [597]

Answer: (-2 -9)

Step-by-step explanation:

Have no time

3 0
2 years ago
I need help finding the measures of the other angles.
Alex Ar [27]

<7 and <10 are each 84 degrees

5 0
3 years ago
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