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lisov135 [29]
3 years ago
10

What is the greatest common factor of the terms in the polynomial 12x4 + 27x3 + 6x?? ЗХ

Mathematics
1 answer:
mamaluj [8]3 years ago
8 0

Answer:

3x

Step-by-step explanation:

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Point M is located at (4,6) on a coordinate grid. Point M is translated 8 units to thr left and 9 units down to create point M'.
nata0808 [166]
Well, i would use the distance formula to find the distance between the two points. Only issue- you do not have the other point, so lets find it!

We have the point 4,6. 4 is the x, and 6 is the y.

Lets start with 4 since the x works with the left and right aspect of the location. It says M has been translated 8 units to the left, meaning we go back 8. So if we are at 4, and we go back (A.K.A. Subtract) 8, we will be at -4.

Now lets move onto the y, which works with the up and down aspect of the location. It says M has been translated 9 unites down, meaning the point will be heading down and getting smaller. So if we are at 6, and we go down (A.K.A. subtract) 9, then we will be at -3.

So now we have the coordinates of point M (4,6) and point M' (-4,-3) so we can now complete the distance formula!

The distance formula helps determine the distance between two points. It looks like this: D = √(x₂-x₁)²+(y₂-y₁)²

Though it does not matter which order you use the coordinates in, i am choosing to use M and then M'.

So, starting with the X, X₂ will be -4 and X₁ will be 4.
Again, starting with the Y, Y₂ will be -3 and Y₁ will be 6.

So, the formula plugged in will look like this: d = √(-4 - 4)² + (-3 - 6)²

Solving it out, we first need to work within the parenthesis. Can you solve it?

Our outcome will be this: -8² + -9². But, since we are squaring (And a negative times a negative equals a positive) you can just write 8² + 9²

8²= 64
9²= 81

64+81 = 145.

So, the distance between point M and point M' would be 145 units

Hope this helps!

If it does not, please let me know so i can try to help!

4 0
3 years ago
A) A man spends 1/5 part of his income on his life insurance and 1/3 on food. If he deposites the remaining sum of Rs 8400 in a
svp [43]
The answer is Rs 126000.

Explanation:

8400 ÷ 1/3 ÷ 1/5

= 8400 * 3/1 * 5/1

= 8400 * 3 * 5

= 126000
6 0
2 years ago
Find the area and the circumference of a circle with radius 6cm.
OLga [1]

Answer:

Step-by-step explanation:

The formula for determining the circumference of a circle is expressed as

Circumference = 2πr

Where

r represents the radius of the circle

π is a constant whose value is 3.14

From the information given,

Radius = 6 cm

Therefore,

Circumference = 2 × 3.14 × 6

Circumference = 37.68 cm

The formula for determining the area of a circle is expressed as

Area = πr²

Area = 3.14 × 6² = 113.04 cm²

4 0
3 years ago
Solve each system by substitution <br> Y=2x+7<br> 3x-4y=-13
natali 33 [55]
The correct answer is (-3,1)

4 0
3 years ago
9. A contestant on a game show must guess the price of a new car. The contestant will
iren [92.7K]

Given :

A contestant on a game show must guess the price of a new car. The contestant will  win if his guess is within $1000 of the price of the car.

To Find :

If the price of the car is  $24,995 and the contestant's guess is represented by g, what absolute value  inequality represents this situation.

Solution :

Let, range in which participant guess would be considered correct is r.

So, r should be in range $( 24,995 ± 1000 ).

( 24,995 - 1000 ) ≤ r ≤ ( 24,995 + 1000 )

23,995 ≤ r ≤ 25,995

Therefore, the correct inequality is 23,995 ≤ r ≤ 25,995 .

Hence, this is the required solution.

4 0
3 years ago
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