1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergeinik [125]
3 years ago
6

Fill in the blanks so the left side of each is a perfect square trinomial. That it complete the square

Mathematics
1 answer:
Bond [772]3 years ago
3 0

Answer:

1

Step-by-step explanation:

Look at the LHS: you have the square of x, then you have 2 times x, times -1. to complete a square you just need to add the square of -1, that is 1. That becomes

x^2-2x +1 = (x-1)^2

You might be interested in
Tickets to the zoo cost $12 for adults and $8 for children. The school has a budget of $240 for the field trip. An equation repr
Oxana [17]

Answer:

18 children

Step-by-step explanation:

Given

240 = 12x +8y

<em>Required (missing part of the question):</em>

<em>Number of children that will be able to go to the zoo if 8 adult tickets are purchased</em>

 

<em>The graph is missing. However, the question can be solved without the graph.</em>

<em />

From the question and equation, we can deduce the following:

  • x represents adults
  • y represents children

So, when 8 adult tickets were sold.

This means

x = 8

Substitute 8 for x in 240 = 12x +8y

240= 12 * 8 + 8y

240= 96+ 8y

Subtract 96 from both sides

240 - 96 = 96 - 96 + 8y

144 =  8y

8y = 144

Solve for y

y= \frac{144}{8}

y= 18

<em>This means that 18 children will be able to go</em>

5 0
2 years ago
Im totally NOT giving away points and this totally IS a real question so pls help (jkjk)
Sloan [31]

Answer:

Super Hyper Ultra Ultimate Deluxe Perfect Amazing Shining God 東方不敗 Master Ginga Victory Strong Cute Beautiful Galaxy Baby 無限 無敵 無双 senchou here, thank you for the points :D

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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
When an integer is subtracted from 5 times the next consecutive integer, the difference is 17. Find the value of the greater int
Mars2501 [29]

Answer:

4

Step-by-step explanation:

5(x + 1) -x = 17  Distribute the 5

5x + 5 - x = 17 Combine like terms

4x + 5 = 17  Subtract 5 from both sides

4x = 12  Divide both sides by 4

x = 3  

Three is the smaller integer and 4 is the greater integer.

5 0
1 year ago
How is 7.7 x 1.4 = 10.78
stellarik [79]
Do 77 times 14

770+308=1,078

Divide 1,078 by 100
=10.78
8 0
3 years ago
Read 2 more answers
Other questions:
  • Your computer monitor has a width of 13.93 inches and a height of 10.45 inches. what is the area of the monitor display in squar
    12·1 answer
  • The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 10
    6·2 answers
  • F(x)=0 if f(x)=-8x^2+6x+5
    13·1 answer
  • Which of the following is not a prime number? A-3163, B-263,C-157,AND D-1057
    6·1 answer
  • Which expression is equivalent to (2−√−4)+(1+√−49)? <br> 3−5i <br> 3+5i <br> 8+0i <br> −2+0i
    11·1 answer
  • What equals thirty eight?
    15·2 answers
  • Priscilla can make 4 bracelets in 18 minutes. At this rate, how many bracelets can she make in 54 minutes?
    6·1 answer
  • If the coordinates of a point p(m-3,-6)=p(-7,-6), then find the value of m​
    12·1 answer
  • Which of the following represents a moderate negative correlation? Explain.
    6·2 answers
  • What is the slope of the line that passes through the points (2, 3) and (8, 6)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!