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3 years ago

What constant term should be used to complete the square?

Mathematics

1 answer:

Andrews [41]3 years ago

5 0

Answer:

25/4

Step-by-step explanation:

x² - 2(x)(5/2) + (5/2)²

x² - 5x + 25/4

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Which of the following expressions represents "twelve diminished by six times a number"?

ahrayia [7]

Diminished means "made smaller", so in other words, subtracted. This makes the phrase "twelve subtracted by six times a number", or more simply "twelve minus six times a number".

Answer:
A. 12 - 6n

4 0

3 years ago

Read 2 more answers

Based on the side lengths given (a, b, and o, which triangles are right triangles?

Cloud [144]

Answer:

2 & 3

Step-by-step explanation:

Pythagorean Theorem is $a^2+b^2=c^2$ .

If the values given in each option satisfy the theorem, the sides will make a right triangle.

<h3>For Option One:</h3>

$4^2+6^2=8^2\\=> 4^2=16\\=> 6^2=36\\=>8^2 =64\\16+36=64\\\boxed{52\neq 64}$

The sides would not make a right triangle.

<h3>For Option Two:</h3>

$6^2+8^2=10^2\\=> 6^2 = 36\\=> 8^2=64\\=> 10^2=100\\36+64=100\\\boxed{100=100}$

The sides would make a right triangle.

<h3>For Option Three:</h3>

$5^2+6^2=\sqrt{61}^2\\ => 5^2=25\\=>6^2=36\\=>\sqrt{61}^2=61\\ 25+36=61\\\boxed {61=61}$

The sides would make a right triangle.

<h3>For Option Four:</h3>

$6^2+9^2=12^2\\=> 6^2=36\\=>9^2=81\\=>12^2=144\\36+81=144\\\boxed{117\neq 144}$

The sides would not make a right triangle.

The correct answer should be options two and three.

6 0

2 years ago

If a < 0 and b > 0, then the point (a, b) is in Quadrant

Archy [21]

Answer: The answer is C) lll.

A) I.

B) II.

C) III.

D) IV.

Step-by-step explanation:

If a < 0 and b < 0, then the point (a, b) is in Quadrant

7 0

3 years ago

You roll a dice three times what is the probability that you roll an even number on the first roll, and odd on the second roll a

Dafna1 [17]

<h3>Answer:</h3>

D. 1/24

<h3>Step-by-step explanation:</h3>

Assuming the die is fair and the events are independent, the probability of the series of events is the product of the probabilities of the individual events.

p(even) = 3/6 = 1/2

p(odd) = 3/6 = 1/2

p(5) = 1/6

Then the joint probability is ...

.. (1/2)·(1/2)·(1/6) = 1/24

7 0

3 years ago

Graph the line with slope <br> 3/4<br><br><br> passing through the point (1,4)<br><br><br> .

Valentin [98]

To graph the line, we must first find out the equation for the line in slope-intercept form (y = mx + b). So far, we only have the slope, so the line's equation is y = 3/4x + b. But, by inserting the values of x and y in the point we know, we can find the y - intercept.

4 = 3/4 + b

b = 13/4

That means that the equation of our line is y = 3/4x + 13/4. Now we can graph. But, there is another way to go about (slightly faster too). Since we know the coordinates of 1 point, we can put that line down. Then, since we know that slope is rise over run, we can say, that with a slope of 3/4, one would go 3 points up for every 4 to the right. Now we can go 3 points up and 4 points to the right of point (1,4). That would be (5, 7). Now we can graph (since we have 2 points, or an equation).

The graph looks like this:

3 0

3 years ago