Helppp pleaseeee!!!!

Answer:

x = 4

Step-by-step explanation:

2/3x + 1/6 = 4/3x

Easiest way to solve is by multiplying the entire equation by 6x.

6x (2/3x + 1/6 = 4/3x)

4 + x = 8

subtract 4 rom both sides

x=4

3420°

explanation:

the equation of the sum of interior angles are (n-2)x180

polygon above has 21 sides so you sub n as 21 and plug the equation in the calculator

Answer: 3420

Step-by-step explanation: To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.

Therefore the formula is (n-2)×180, n being the number of sides. Therefore it's (21-2)×180 which gives you 3420.

Answer:

1) x = 6 + 2√19 or x = 6 - 2√19

2a) (x + 5)²

2b) (x + 5/2)²

3) x = 22 or 18

Step-by-step explanation:

1) x² - 12x = 40

First step is;

We take ½ of the x-term and square it.

Thus;

(½ × -12)² = (-6)² = 36

Second step is to add the result in step 1 to both sides;

x² - 12x + 36 = 40 + 36

x² - 12x + 36 = 76

On the left, is a perfect square that can be written as (x - 6)²

Thus, the new equation is;

(x - 6)² = 76

Taking square root of both sides gives;

x - 6 = ±√76

x - 6 = ±2√19

x = 6 + 2√19 or x = 6 - 2√19

2a) we want to find the value of c that makes x² + 10x + c the perfect square.

From completing the square in question 1 above, we see that;

c = (b/2)²

From ax² + bx + c, we can see that in this case, b = 10

Thus;

c = (10/2)²

c = 5²

c = 25

Thus, the trinomial is;

x² + 10x + 25

As a perfect square, it is;

(x + 5)²

2b) x² + 5x + c

Similar to 2a above;

b = 5

Thus; c = (5/2)²

c = 25/4

Trinomial is; x² + 5x + 25/4

As a perfect square, we have;

(x + 5/2)²

3) We want to solve x² - 40x + 396 = 0

This can be rewritten as;

x² - 40x = -396

First step is;

We take ½ of the x-term and square it.

Thus;

(½ × -40)² = 400

Second step is to add the result in step 1 to both sides;

x² - 40x + 400 = -396 + 400

x² - 40x + 400 = 4

On the left, is a perfect square that can be written as (x - 20)²

Thus;

(x - 20)² = 4

Taking square root of both sides gives;

x - 20 = ±√4

x - 20 = ±2

x = 20 + 2 or x = 20 - 2

x = 22 or 18

Multiply the starting height (60) by the height of each bounce (3/4) raised to the number of bounces (x)

H = (60)(3/4)^x

The answer to the given expression is:

H = 60(3/4)^x

A number is raised by another number which is called the power/exponent which implies that the number is multiplied by itself for that many number of times.

After every release, it bounces 3/4th of the previously released height.

After 1st bounce H = 60(3/4)

After 2nd bounce, it will be 3/4th of the previous H,

∴ H = 60(3/4)(3/4) = 60(3/4)^2

Similarly, after the 3rd bounce, it will be 3/4th of the previous H,

∴ H = 60(3/4)^2 * (3/4) = 60(3/4)^3

So it goes on like this. After x bounces,

H = 60(3/4)^x

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Answer:

[tex]y = 2.5x + 75[/tex]

Step-by-step explanation:

Answer:

x = 137

Step-by-step explanation:

To find the value of x you must first set up an equation to solve for x. We are told that Hannah has written 142 more lines than Sam so we can make an equation by subtracting Sam's total from Hannah's total.

(7x + 78) - (6x + 73) = 142

Hannah - Sam = Difference

We then begin to solve. First we must distribute the subtraction to all parts of Sam's equation, creating a new equation of:

7x + 78 - 6x - 73 = 142

Then put like terms together

7x - 6x + 78 - 73 = 142

7x - 6x = x

78-73 = 5

x + 5 = 142

Then isolate the x by subtracting the 5.

x + 5 (-5)= 142 (-5)

x = 137

Then plug it back into the equation to check and see if your x is correct

(7x + 78) - (6x + 73) = 142

(7(137) + 78) - (6(137) + 73) = 142

(959 + 78) - (822 + 73) = 142

(1037) - (895) = 142

MARK ME BRAINLIEST PLEASE ❤️

The value of x is 137.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Hannah has created: 7x+78 lines of code

Sam has written: 6x + 73 lines of code.

Now, Hannah has written 142 more lines of code then sam.

So, Hannah - Sam = Difference

(7x + 78) - (6x + 73) = 142

7x + 78 - 6x - 73 = 142

7x - 6x + 78 - 73 = 142

x + 5 = 142

x = 142 (-5)

x = 137

Hence, the value of x is 137.

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Answer:

p = 18

Step-by-step explanation:

given : n = -3

p = 2n^2

p=2*(-3)^2

p=2*8

p=18

Answer:

4 th option

Step-by-step explanation:

Using synthetic division to find the quotient

- 2  |  1    - 4    + 5    - 2

         ↓   - 2     + 12   - 34

      ------------------------------

        1    - 6     + 17      - 36 ← remainder

The quotient is x² - 6x + 17

Then

[tex]\frac{x^3-4x^2+5x-2}{x+2}[/tex] = x² - 6x + 17 - [tex]\frac{36}{x+2}[/tex]

Answer:

7y - 4x

Step-by-step explanation:

Given

- 3(2x - y) + 2y + 2(x + y) ← distribute parenthesis

= - 6x + 3y + 2y + 2x + 2y ← collect like terms

= 7y - 4x

Answer:

B. 3 x 3 x 3 x 3 = 81

Step-by-step explanation:

exponential expression 3⁴

This means multiplying 3 four times

= 3 × 3 × 3 × 3

= 81

B. 3 x 3 x 3 x 3 = 81 is the answer

Similarly, if you have 5³

This means you'll multiply 5 three times

5³ = 5 × 5 × 5

= 125

And

3¹ =

3 one time

3¹ = 3

Answer:

C.

Step-by-step explanation

make a line with that dots, and you will find the y-intercept, -2.

Answer:

dilation with a scale factor of 3/2, centered at origin

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Rigid transformation are transformations that preserve the shape and size of an object. That means that they produce an image which is congruent to the object. Examples of rigid transformation is rotation, reflection and translation. Dilation is not a rigid transformation because it does not preserve the shape and size of the object.

All the transformation of the triangle will be congruent except the dilation with a scale factor of 3/2, centered at origin.

Answer:

[tex]b + 3 + \frac{4}{3b}[/tex]

Step-by-step explanation:

[tex]\frac{3b^2 + 9b + 4}{3b}[/tex]

=> 3b²/3b = b

=> 9b/3b = 3

=> 4/3b = 4/3b

Therefore the final answer would be;

[tex]b + 3 + \frac{4}{3b}[/tex]

Hope this helps!

Answer:

A/C

Step-by-step explanation:

Since the sum of the angles in a triangle equals 180°, and angle C is 90°.

That means angles A and B add up to 90°, that is, they are complementary angles. Therefore the cosine of B equals the sine of A.

We saw on the last page that sin A was the opposite side over the hypotenuse, that is, a/c. Hence, cos B equals a/c.

Your welcome! :)

Answer:

its c

Step-by-step explanation:

Answer:

A=2πrh+2πr2

Step-by-step explanation:youre welcome

Step-by-step explanation:

πr^2+2πrh

(r= radius, h= height)

The 3 inside angles of a triangle need to equal 180 degrees.

This is a right triangle so the bottom left corner is 90 degrees.

This means the other two angles when added need to equal 180-90 = 90 degrees.

Now you have 8x + 7x = 90

Combine like terms:

15x = 90

Divide both sides by 15

X = 6

Now you have the value for x solve the two angles:

8x = 8(6) = 48

7x = 7(6) = 42

Top left = 48 degrees

Bottom right = 42 degrees

Answer:

The measure of the top-left angle in the triangle is 48 ° and the measure of the bottom-right angle is 42 °.

Step-by-step explanation:

We know that , the sum of angles of triangle is 180 °.

And , It is the right triangle so, bottom left is 90 °.

8 x ° + 7 x ° + 90 ° = 180 °

15 x + 90 ° = 180 ° ..( combine like terms)

Subtract each side by 90°

15 x° + 90° - 90° = 180° - 90°

15 x° = 90 °

15 x° / 15 = 90 ° / 15 ..(Divide each side by 15°)

x° = 6 °.

Using value of x to finding the

Answer:

Step-by-step explanation:

The word "opposite" is indicated by the - sign out front. Mathematically, we multiply a -1 into the parenthesis which, not coincidentally, changes the signs of everything inside the parenthesis, making them "opposite". The opposite of this polynomial is

- a - b - c

x = 3

y = 8

(3, 8)

Hope this helps! :)

Answer:  B) -56i - 24

This is the same as -24 - 56i

=============================================

Explanation:

The 'i' refers to the imaginary number [tex]\sqrt{-1}[/tex]

In other words, [tex]i = \sqrt{-1}[/tex]

Squaring both sides gets us [tex]i^2 = -1[/tex]

So,

[tex]x = -8(7i - 3i^2)\\\\x = -8(7i - 3(-1))\\\\x = -8(7i + 3)\\\\x = -8(7i) -8(3)\\\\x = -56i -24 \ \ \text{ .... Answer: Choice B}\\\\x = -24 - 56i\\\\[/tex]

The result is in the form a+bi where a = -24 is the real part and b = -56 is the imaginary part.

Answer:

√200 and 5, √125 and 10

Step-by-step explanation:

Answer:345678098321

Step-by-step explanation: I think so lol

Answer:

x+5x=180( adj.suppl.ls)

6x=180

6x÷6=180÷6

x=30

Answer:

-195.34

Step-by-step explanation:

Given data :

-49(4)+[tex]\frac{2}{3}[/tex]

It can be calculated as :

-196+0.66

-195.34

Therefore, given expression is equivalent to -195.34

Answer:

5/12

Step-by-step explanation:

Here, we want to select the probability that the selected student is a sophomore given that he is a boy

In this case;

P(B) = P(boy)

P(A) = P(sophomore)

What we know is that the probability for any section is simply the number of that section divided by the total number of students which is 12 + 18 = 30

From the table;

P(B) = 12/30

P(An B) = 5/30

So;

P(A|B) = 5/30 divided by 12/30

= 5/30 * 30/12 = 5/12

Answer:

c)

Step-by-step explanation:

please don't trust ;-;

Answer:

The answer is "[tex]\frac{A}{(x-2)} + \frac{B}{(x+3)}[/tex]"

Step-by-step explanation:

Let the given value is: [tex]\frac{x-6}{x^2+x-6}[/tex]

[tex]\to \frac{x-6}{x^2+x-6}=\frac{x-6}{x^2+(3-2)x-6}\\\\[/tex]

                [tex]=\frac{x-6}{x^2+(3-2)x-6}\\\\ =\frac{x-6}{x^2+3x-2x-6}\\\\ =\frac{x-6}{x(x+3)-2(x+3)}\\\\ =\frac{x-6}{(x+3)(x-2)}\\\\=\frac{A}{(x-2)} + \frac{B}{(x+3)}[/tex]

Answer:

The energy, 'E', increases by a factor of 1000,000,000

Step-by-step explanation:

The given equation relating moment magnitude of an earthquake and the energy (in ergs) released by it obtained from a similar question online is presented as follows; [tex]M_W = \dfrac{2}{3} \times log_{10} (E) - 10.7[/tex]

Where;

[tex]M_W[/tex] = The moment magnitude

E = The energy

If [tex]M_W[/tex] is increased by 6, we have;

Δ[tex]M_W[/tex] = 6

[tex]\Delta M_W = M_{W2} - M_{W1} = 6[/tex]

From which we get;

[tex]\Delta M_W = M_{W2} - M_{W1} = 6 = \dfrac{2}{3} \times log_{10} (E_2) - 10.7 - \left(\dfrac{2}{3} \times log_{10} (E_1) - 10.7 \right)[/tex]

[tex]6 = \dfrac{2}{3} \times log_{10} (E_1) - 10.7 - \left(\dfrac{2}{3} \times log_{10} (E_2) - 10.7 \right) = \left(\dfrac{2}{3} \right ) \times \left ( log_{10} (E_2) - log_{10} (E_1) \right)[/tex]

[tex]6 = \left(\dfrac{2}{3} \right ) \times \left ( log_{10} (E_2) - log_{10} (E_1) \right) = \left(\dfrac{2}{3} \right ) \times log_{10} \left( \dfrac{E_2}{E_1} \right)[/tex]

[tex]6 = \left(\dfrac{2}{3} \right ) \times log_{10} \left( \dfrac{E_2}{E_1} \right)[/tex]

[tex]log_{10} \left( \dfrac{E_2}{E_1} \right) = 6 \times \left(\dfrac{3}{2} \right ) = 9[/tex]

Therefore;

[tex]\dfrac{E_2}{E_1} = 10^9[/tex]

E₂ = E₁ × 10⁹ = 1000,000,000 × E₁

Therefore, when the moment magnitude, [tex]M_W[/tex], increases by 6, the energy increases by a factor of 1000,000,000

If we solve for Y then answer is..

Y=b-4

If we solve for B then answer is..

b=Y+4

Answer:

Angle 1 - 148

Angle 2 - 32

Angle 3 - 73

Angle 4 - 148

Angle 5 - 105

Step-by-step explanation:

Angle 1 forms a line with angle 32 and equals 180, therefore Angel 1 = 180 - 32 = 148

Angle 2 has the same value as the opposing angle, 32

Angle 3 combined with 32 and 75 equals 180, therefore

Angle 3 = 180 - 32 - 75

Angle 3 = 73

Angle 4 is equal to angle 1

Angle 5 combined with 43 and Angle 2 (32) equals 180

Angle 5 = 180 - 43 - 32

Angle 5 = 105