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Flauer [41]
3 years ago
8

A student is asked to factor, if possible, the given expression. The student's response demonstrates which common misconception?

Simplify: a2 + b2 Student's response: (a + b)(a − b)
Mathematics
1 answer:
dlinn [17]3 years ago
8 0

Answer:

The student assumed he was asked to factor

(a^2 - b^2)

Which is equal to

= (a+b)*(a-b)    (His response)

But, he was asked to simplify

(a^2 + b^2)

Which has imaginary roots, and can be factored as:

(b +ai)(b-ai)

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Answer:

there is only one solution

3x - 1 = 2x

x - 1 = 0

x = 1

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Please help me with this, thanks guys
tangare [24]

Answer:

1) 1 | 3, 5, 8

2| 2, 4, 6, 6

3| 4, 8, 9

4| 5, 5

5| 1, 5, 6

Step-by-step explanation:

You put the tens place in the "stem" section and the ones in the "leaf" section. For 3 digit number you but both the hundreds and tens in the stem spot. Ex) 23 | 1, 5, 8, 9

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James needs to buy some poster board to build a box for a project. The box needs to be 10 inches long, 5 inches wide, and 4 inch
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1200 Inches

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Determine the surface area of each triangular prism. Round to the nearest tenth if necessary.
slamgirl [31]

Answer:

  1. 108 cm^2
  2. 211.2 cm^2
  3. 308.8 mm^2
  4. 560 yd^2

Step-by-step explanation:

In each case, you can use the given formula to find the surface area. The area of the triangular base (B) is ...

  A = 1/2bh

where b is the base of the triangle, and h is the height of the triangle perpendicular to that base.

You will notice that B is multiplied by 2 in the area formula, because there is a triangular base at either end of the prism. That means we can save some work by not multiplying by 1/2, and then by 2.

__

For figures 1, 3, 4, the triangle is a right triangle, so the base and height make up two of the three sides of it. The perimeter is finished by adding the length of the hypotenuse. That sum is then multiplied by the "height" of the prism (distance between bases) to find the lateral area as part of the area formula (Ph).

In figure 3, the triangle is equilateral, so the perimeter is not the sum of the base and height and a third side. In the attached spreadsheet, we have used a value "rest of perimeter" to make the sum be the right value for use in computing the value of Ph. For figure 3, that is 6+6-5.2=6.8. Then the sum 6 +5.2 +6.8 is 18, the proper perimeter for that figure.

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The idea here is to let a spreadsheet do the tedious work of applying the same formula to different sets of numbers. The areas are ...

  1. 108 cm^2
  2. 211.2 cm^2
  3. 308.8 mm^2
  4. 560 yd^2

__

By way of example, we can "show work" for problem 1:

1. S = Ph +2B

  S = (4 +3 +5)(8) +2(1/2)(4)(3) = 12(8) +12 = 96 +12 = 108 . . . cm^2

4 0
2 years ago
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Could -2 be used to rewrite 32
Ostrovityanka [42]

Answer:Look at this list of whole number powers of -2:

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Step-by-step explanation:

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