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3 years ago

What is the simplest form of 2(4x+y)+3(x-6y)+x^2

Mathematics

2 answers:

kipiarov [429]3 years ago

7 0

Answer:

8x+2y+3x-18y+x^2

final answer: x^2+11x-16y

*edited*

OverLord2011 [107]3 years ago

7 0

(For full answer you might have to go to the comments)

Answer: 11x-16y+x^2

Step By Step:

1. Expand
8x+2y+3(x-6y)+x^2
((^ MEANS EXPONENTS OR TO THE POWER OF))

2. Expand
8x+2y+3x−18y+x^2

3. Collect like terms
(8x+3x)+(2y-18y)+x^2

4. Simplify
11x-16y+x^2

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enyata [817]

Answer:

the 3rd one

Step-by-step explanation:

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3 years ago

When 4 is subtracted from the square of a number, the result is 3 times the number. Find the positive solution

vitfil [10]

Answer is 4 = x. Write out The equation. Then converted to a polynomial. Then use the formula in the top upper right and then do the simple arithmetic to find a positive solution for X. it also makes logical sense as well, 3×4 is 12. I hope this helps and makes sense my Hand writing is not the Best

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3 years ago

Segment BD is an altitude of triangle ABC. Find the area of the triangle.

Sever21 [200]

Answer: The correct option is A, i.e., 7.5.

Explanation:

It is given that ABC is a triangle and BD is an altitude.

Since BD is an altitude, therefore the height of the triangle is BD and the base of the triangle is AC.

The distance formula to find the distance between two points is,

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

First, we find BD, where B(-1,4) and D(2,4).

$BD=\sqrt{(2+1)^2+(4-4)^2}=\sqrt{9} =3$

So, the height of the triangle is 3.

Now, we find the value of AC, where A(2,1) and C(2,6).

$AC=\sqrt{(6-1)^2+(2-2)^2}=\sqrt{25} =5$

So, the base of the triangle is 5.

The formula to find the area of a triangle is,

$A=\frac{1}{2}\times {\text{base}}\times {\text{height}}$

$A=\frac{1}{2}\times 5\times 3=\frac{15}{2}=7.5$

Therefore, the area of the triangle is 7.5 unit square and the correct option is A.

6 0

3 years ago

Read 2 more answers

A.4 -3 B. 3 - 4 C. 3 4 D. 4 3

Paul [167]

The answer should be A

8 0

3 years ago

The sum of the interior angles of a hexagon is equal to the sum of six consecutive integers. What is the measure of the smallest

kipiarov [429]

Answer:

Look to the explanation

Step-by-step explanation:

* Lets explain how to solve the problem

- The consecutive integers are the integers after each other like

1 , 2 , 3 , ......

- The rule of the sum of the interior angles of any polygon is:

(n - 2) × 180° , where n is the number of the sides of the polygon

- The sum of the interior angles of a hexagon is equal to the sum of

six consecutive integers

* Lets find the sum of the interior angle of the hexagon

∵ The hexagon has 6 sides

∴ n = 6

∴ The sum of its interior angles = (6 - 2) × 180° = 720°

* Lets find the sum of six consecutive integers

- Assume that the smallest integer is x

∴ The numbers are x , x + 1 , x + 2 , x + 3 , x + 4 , x + 5

∵ Their sum = x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5)

- Add like terms

∴ Their sum = 6x + 15

- Equate the sum of the 6 numbers by the sum of the angles of

the hexagon

∴ 6x + 15 = 720

- Subtract 15 from both sides

∴ 6x = 705

- Divide both sides by 6

∴ x = 117.5

- But 117 .5 not integer

∴ The sum of the interior angles of a hexagon can not equal the

sum of six consecutive integers

- But it can be if the numbers are consecutive odd integers

because the consecutive odd numbers are

x , x + 2 , x + 4 , x + 6 , x + 8 , x + 10

∴ Their sum = 6x + 30

∵ 6x + 30 = 720

- Subtract 30 from both sides

∴ 6x = 690

- Divide both sides by 6

∵ x = 115

∵ x represents the measure of the smallest angle

∴ The measure of the smallest interior angle of the hexagon is 115°

7 0

4 years ago

What is the simplest form of 2(4x+y)+3(x-6y)+x^2​

What is the simplest form of 2(4x+y)+3(x-6y)+x^2