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3 years ago

Factor a number, variable, or expression out of the trinomal shown below

Mathematics

1 answer:

monitta3 years ago

3 0

Ok, to start, let's look at the terms given in this trinomial: 6x^2, -12x, and 9.
Now, let's try to find the greatest common factor of the three terms, which would be 3. One way to do this would be to take each term and break it down using prime factorization, which would look like this:
6x^2= 2*3*x*x
-12x= -1*3*2*2*x
9= 3*3

When you look at the numbers when they are broken down, they all seem to share one factor, which is 3. This would be the greatest common factor you would factor out of the trinomial, and when you do so it should look like this

3(2x^2-4x+3) which would be your answer

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If a 30-foot silo casts a 20-foot shadow, what is the approximate measure from the tip of the shadow to the top of the silo?

KATRIN_1 [288]

9514 1404 393

Answer:

(d) 36 feet

Step-by-step explanation:

Use your sense of geometry.

The hypotenuse of a right triangle will never be less than the longest side, and will never be greater than 1.5 times the longest side*.

That means the only reasonable answer choices will be between 30 and 45 feet. There is only one such choice.

The measure is about 36 feet.

If you like, you can find a more exact value using the Pythagorean theorem. The distance d of interest is ...

d^2 = 20^2 +30^2 = 1300

d = √1300 = 10√13 ≈ 36.0555 ≈ 36 . . . feet

_____

* The longest hypotenuse will be √2 ≈ 1.4142 times the longest right triangle leg when the two legs are equal length.

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2 years ago

Someone help please i am so bad at point slope stuff

Fynjy0 [20]

1) Write the point-slope form of the equation of the horizontal line that passes through the point (2, 1). y = 1/2x

2)Write the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1).
m = (-9 - 1) / (6 - 7) = -10/-1 = 10
y + 9 = 10 (x - 6)
y = 10x - 69

3) A line passes through the point (-6, 6) and (-6, 2). In two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line.

4)Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4).
m = (5 - 4) / (-3 - -1) = 1/-2
y - 5 = (-1/2) (x +3)
y = (-1/2)x + 7/2

5) Write the point-slope form of the equation of the line that passes through the points (6, 6) and (-6, 1).
m = (6-1)/(6 - -6) = 5 / 12
y - 6 = (5/12) (x-6)
y = (5/12)x + 17 / 2

6) Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4).
m = (2 - -4) / (-8 -1) = 6 / -7
y - 2 = (-6/7) (x + 8)
y = (-6/7)x - 50 / 7

7) Write the point-slope form of the equation of the line that passes through the points (5, -9) and (-6, 1).
m = (-9 - 1) / (5 - -6) = -10 / 11
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3 years ago

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insens350 [35]

Answer:

Step-by-step explanation:

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3 years ago

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Margarita [4]

Answer :-

9(3+√3) feet

Step by step explanation :-

A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .

Now here the other angle will be = (90°-30°)=60° .

In ∆ABC ,

=> sin 30 ° = AB / AC

=> 1/2 = AB / 18ft

=> AB = 18ft/2

=> AB = 9ft .

Again In ∆ ABC ,

=> cos 30° = BC / AC

=> √3/2 = BC / 18ft

=> BC = 18 * √3/2 ft

=> BC = 9√3 ft .

Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .

<h3>Hence the perimeter of the triangular pathway shown is 9 ( 3 + √3 ) ft .</h3>

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2 years ago

How do you put 2.303,2.3,2.33 and 2.03 from least to greatest

ser-zykov [4K]

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2 years ago

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