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Svetlanka [38]
3 years ago
6

The square of a number I see equal to two less than three times the number. What are two possible values of the number? A. 1,2 B

. -1,2 C. 1,-2 D. -1,-2 E. 2,3
Mathematics
1 answer:
Nady [450]3 years ago
7 0

Answer:

Option A

Step-by-step explanation:

Let us take this number as x, translating this description of the equation into mathematical language;

x^2 = 3x - 2

Now let us solve for x;

x^2 = 3x - 2,\\x^2+2=3x-2+2,\\x^2+2=3x,\\x^2+2-3x=3x-3x,\\x^2-3x+2=0,\\\\Factored = \left(x-1\right)\left(x-2\right)=0,\\Zero Factor Principle, \\x = 1, x = 2\\\\Solution - Option A

* Note that for the the previous problem I solved, I set up a similar equation that had two values for the width, one negative and the other positive. Now the width could only be a positive number, so there was only one solution out of the two.

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When each side of an equation has been simplified, equations that have BLANK coefficients and BLANK constants on each side have
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Answer:

The answer is below

Step-by-step explanation:

An equation shows the relationship between two or more variables. An equation is a statement that shows the equality between expressions. An equation with infinitely many solution is when all numbers are solutions, that is there is no one solution. Example is: x + 3 = x + 3.

When each side of an equation has been simplified, equations that have the same coefficients and the same constants on each side have infinitely many solutions

7 0
2 years ago
A 11 and 1/4
solong [7]

Answer:

Step-by-step explanation:

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3 0
2 years ago
Anna can buy 3 sweatshirts for a total of $45.H
Masteriza [31]

Answer: Anna could buy 5 sweatshirts for $60.


Step-by-step explanation:

lets figure out the price of one sweatshirt.

45/3 = 15

one sweatshirt is $15

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so 5 sweatshirts cost $60

6 0
3 years ago
1. Assume O P || NM.
ipn [44]

1. Assuming OP || NM, considering the triangle proportionality theorem possible measurements for the segments are: ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units

2. The possible values are decided by assuming  \frac{ON}{LO} = \frac{PM}{LP} = 3 using the triangle proportionality theorem.

3. Another method is applying the AA Similarity Theorem to compare corresponding side lengths of the triangles that are proportional to each other.

<h3>What is the Triangle Proportionality Theorem?</h3>

Triangle proportionality theorem states that if a line is parallel to one of the sides of a triangle intersects two of the other two sides, it divides the two sides into proportional corresponding segments.

1. Assuming that OP || NM, we would apply the triangle proportionality theorem to have the following ratio:

\frac{ON}{LO} = \frac{PM}{LP}

Using the above ratio, we can choose the following possible lengths for the segments:

ON = 3 units

LO = 1 unit

PM = 6 units

LP = 2 units

2. The values are decided assuming that the ratio, \frac{ON}{LO} = \frac{PM}{LP} = 3

This means that the ratio of the proportional segments, irrespective of the their measurement should give you an assumed equal ratio of 3:1.

Therefore, since:

\frac{3}{1} = 3\\\\\frac{6}{2} = 3

The measurements, ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units are therefore possible measurements.

3. Using the AA Similarity Theorem to prove that ΔLPO ≅ ΔLMN, the corresponding sides of both triangles will be proportional.

LP/LM = LO/LN = PO/MN

We can use this to choose possible measurements while assuming a ratio between the proportional sides of both triangles.

Let's assume that: LP/LM = LO/LN = PO/MN = 1/4

Let,

LO = 1 unit

LN = 4 units

Therefore, ON = LN - LO = 4 - 1 = 3 units.

Same way the other possible measures can be gotten provided a ratio is assumed.

Learn more about triangle proportionality theorem on:

brainly.com/question/24804474

4 0
2 years ago
I lied-<br> (21.2) x (0.02)<br><br> (2.05) x (0.004)
Llana [10]

Answer:

oof

21.2 x 0.02 = 0.424

2.05 x 0.004 = 0.0082

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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