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11111nata11111 [884]
3 years ago
11

A perfect square trinomial can be represented by a square model with equivalent length and width. Which polynomial can be repres

ented by a perfect square model
x2 – 6x + 9

x2 – 2x + 4

x2 + 5x + 10

x2 + 4x + 16
Mathematics
2 answers:
olchik [2.2K]3 years ago
5 0
From the given options, x^2 - 6x + 9 = (x - 3)^2 is a perfect square.
nikdorinn [45]3 years ago
5 0

Answer:

  Option A is the correct answer

Step-by-step explanation:

For a perfect square quadratic equation discriminant b²-4ac is zero.

<u>Option A</u>

    x²-6x+9, a = 1 , b = -6 and c = 9

    b²-4ac = 36 - 4 x 1 x 9 = 0

    Correct answer.

<u>Option B</u>

    x²-2x+4, a = 1 , b = -2 and c = 4

    b²-4ac = 4 - 4 x 1 x 4 = -12

    Wrong answer.

<u>Option C</u>

    x²+5x+10, a = 1 , b = 5 and c = 10

    b²-4ac = 25 - 4 x 1 x 10 = -15

    Wrong answer.

<u>Option D</u>

    x²+4x+16, a = 1 , b = 4 and c = 16

    b²-4ac = 16 - 4 x 1 x 16 = -48

    Wrong answer.

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4 years ago
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Identify the variation as direct, inverse, joint or combined.
Len [333]

Answer: Third option.

Step-by-step explanation:

<h3> The exercise is actually: "Identify the variation as direct, inverse, joint or combined:  V=r^2h"</h3><h3> </h3>

For this exercise it is important to remember that, by definition, a Joint variation is that variation in which one variable depends on two or more variables and  there are a direct relation between these variables.

In this case, you have the following equation given in the exercise:

V=r^2h

 Let's assume that "r" and "h" are variables.

You can identify that:

  1. The variable "V" depends on the variables "r" and "h".
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So, based on this, the variation can be read as:

<em>"V" varies jointly with the square of "r" and "h".</em>

Therefore, you can conclude that the  given variation is: Joint.

4 0
3 years ago
13_,644 130,000 this # was rounded to nearest ten thousand list the possible digits that could go in the thousands place to make
Nady [450]

We have two rules in case of rounding off digits,

Rule 1:

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40.

Rule 2:

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

We are given the number 13_,644 which rounds off to 130,000.

Now as we can see the number is rounded down, so we can apply rule number 2 here.

If we place the digit 0, 1, 2, 3 or 4 then the number will round off to 130,000.

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Divide and we get:

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Make sense?

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