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PilotLPTM [1.2K]
3 years ago
8

Is 8 - square root 3 the conjugate of 8 + square root 3

Mathematics
2 answers:
sladkih [1.3K]3 years ago
8 0
Yes ... the conjugate are the factors of a^2-b^2=(a-b)(a+b). Used in rationalizing denominators.
Trava [24]3 years ago
3 0

Answer:

<u><em>Yes</em></u>

I had the same question on my Odyssey exam but it was flopped and this was the answer.

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- If you divide a number by four and then add six, you<br> get eighteen. What is the number?
stiks02 [169]

Answer:

48

Step-by-step explanation:

Create an equation to represent this, where x is the unknown number.

\frac{x}{4} + 6 = 18

Solve for x, by first subtracting 6 from both sides:

\frac{x}{4} = 12

Multiply each side by 4:

x = 48

So, the number is 48

8 0
3 years ago
Read 2 more answers
Which collection of three side lengths can be used to form a triangle?
kvv77 [185]
Hello!

In order to create a complete triangle, the sum of the two smaller sides must be greater than the largest side. This can be expressed using the following formula:

(S1) + (S2) > (S3)

We'll begin by inserting the first set of values into the inequality above:

3 + 6 > 10

Simplify the left side:

9 > 10

The inequality (9 > 10) is false. Therefore, the first set of values can be eliminated. Now complete the same process for the next set of values:

3 + 6 > 9
9 > 9

The inequality (9 > 9) is false. Therefore, we can eliminate the second set of values as well. Now complete the same process for the third set of values:

4 + 6 > 9
10 > 9

The inequality (10 > 9) is true. Therefore, we can confirm the third set of values (4 ft - 9 ft - 6ft) as a valid answer.

I hope this helps!
4 0
4 years ago
Please anwser fast !!
tiny-mole [99]

Answer:

y = 10x - 2

Step-by-step explanation:

From the table attached,

Let the equation of a line passing through two points (x_1,y_1) and (x_2,y_2) is,

y = mx + b

Here, m = slope of the line

b = y-intercept

Since, m = \frac{y_2-y_1}{x_2-x_1}

Slope of the line passing through (0, -2) and (1, 8) will be,

m = \frac{8+2}{1-0}

m = 10

y-intercept 'b' = -2 [Output value at x = 0]

Therefore, equation of the line will be,

y = 10x - 2

5 0
3 years ago
5)
EleoNora [17]

9514 1404 393

Answer:

  C) 8 miles per hour

Step-by-step explanation:

To find miles per hour, divide miles by hours.

  (1/4) ÷ (1/32) = 1/4 × 32/1 = 32/4 = 8 . . . . miles per hour

3 0
3 years ago
Read 2 more answers
Bob spent 25% more time on his research project than he had planned. He had spent an extra h hours on the project. What expressi
gizmo_the_mogwai [7]

Let the projected number of work hours be w.

Then the number of hours he actually worked was 1.25w.  This represents the number of hours that Bob actually spent on the project.


Another way in which to answer this would be as follows:

Actual work hours = w + h (h hours beyond the projected w work hours).

This w + h is equivalent to 1.25w.   This means that h = 0.25w.



7 0
3 years ago
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