in the design a regular hexagon is inscribed in a circle point q will map onto which point after a 120 degree clockwise rotation around the center

The (C) solution of the equation is the value of the variable that causes an equation to be a true statement.

So, the Root or solution of the equation is the value of the variable that turns an equation into a true statement. ​

For instance,

The equation's solution in this case is x = - 2.

Here, the equation's roots or solutions are x = 1 and -1.

Therefore, the (C) solution of the equation is the value of the variable that causes an equation to be a true statement.

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The complete question is given below:

The value of the variable which makes an equation a true statement is called the ________ of the equation.​

A. Coefficient

B. Equation

C. Solution

D. Algebraic expression

E. Constant

F. Variable

Answer:

k = 7

Step-by-step explanation:

y = 3x

The slope is 3

Parallel lines have the same slope so a line parallel will have a slope of 3

Using the slope formula

m = (y2-y1)/(x2-x1)

3 = ( 7-1)/(k-5)

3 = 6/(k-5)

Multiply each side by k-5)

3 * (k-5) = 6

Divide each side by 3

k-5 = 6/3

k-5 = 2

Add 5 to each side

k = 7

Answer:

x = 11

Step-by-step explanation:

(3x + 12) + (7x + 15) = 137 (exterior angle: angle KFG = angle g + angle h)

10x + 27 = 137

10x = 110

x = 11

Answer:

x=16

Step-by-step explanation:

Simplifying

3x + 16 = 4x

Reorder the terms:

16 + 3x = 4x

Solving

16 + 3x = 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

16 + 3x + -4x = 4x + -4x

Combine like terms: 3x + -4x = -1x

16 + -1x = 4x + -4x

Combine like terms: 4x + -4x = 0

16 + -1x = 0

Add '-16' to each side of the equation.

16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0

0 + -1x = 0 + -16

-1x = 0 + -16

Combine like terms: 0 + -16 = -16

-1x = -16

Divide each side by '-1'.

x = 16

Simplifying

x = 16

1. Variable

• x: number of passengers

From the description of the problem, the number of passengers must be at most 3000. Mathematically:

x ≤ 3000

This inequality can be represented in a number line as follows:

Answer:

A) 670

B) 192 and 670

C) 670

Answer:

a) 670

b) 192, 670

c) 670

Step-by-step explanation:

670 is divisible by 5 because 670/5=134, also because 670 ends in 0

192 and 670 is divisible by 2 because they both end in even numbers, and also 192/2=96, 670/2=335

670 is divisible by 10 because 670/10=67, and it ends in a 0 as well

a) x-intercept: the y coordinate will be zero while the x coordinate will have a value different from zero.

b) y-intercept: the x coordinate will have a value of zero while the y-coordinate will have a value that is non-zero.

c) The x-intercept: (2, 0)

The y-intercept: (0, 1)

5) a) x-intercept is the value of x when the value of y is zero.

To determine if an ordered pair is an x-intercept, the y coordinate will be zero while the x coordinate will have a value different from zero.

b) y-intercept is the value of y when x is equal to zero.

To determine if an ordered pair is a y-intercept, the x coordinate will have a value of zero while the y-coordinate will have a value that is non-zero.

c) To get the x-intercept: From the table, we will check for the of x when the value of y = 0

The value of y = 0 when x = 2

The ordered pair: (x, y)

The x-intercept: (2, 0)

To get the y-intercept: we will check for the value of y when x = 0

The value of x = 0 when y = 1

The ordered pair: (x, y)

The y-intercept: (0, 1)

The non-rigid transformation will not result in congruent figures because they will change the size or shape.

Hence, the answer is dilation because if we dilate the figures they will not be congruent after the transformation.

To find the GCF of an expression, find the greatest number that every term can divide by. One way we can do this is by factoring the expression.

[tex]5xy+10xy^2+5x[/tex]

Here, each term has the variable x. Factor this out by dividing each term by x:

[tex]x(5y+10y^2+5)[/tex]

Now, each term has a factor of 5. Divide each term by 5:

[tex]5x(y+2y^2+1)[/tex]

Now, there are no more common factors between each term.

Therefore, the GCF is 5x.

5x

The quadratic equations are 2b(b - 7) + b = 0 and (4a + 2)(2a - 1) + 1 = 0 .

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a ≠ 0) for an equation to be a quadratic equation. The x² term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term.

Given:

a) 2b(b - 7) + b = 0

2b² - 14b + b = 0

2b² - 13b = 0

b) (4a + 2)(2a - 1) + 1 = 0

8a² - 4a + 4a + 1 =0

8a² 1 =0

c) 2y + 2(3y - 5) = 0

2y+ 6y- 10 = 0

8y -10=0

d) 8 - 5x = 4(3x - 1)

8- 5x= 12x- 4

Hence, the quadratic equations are 2b(b - 7) + b = 0 and (4a + 2)(2a - 1) + 1 = 0 .

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The 4th term of the expansion is  8z³.

The expression to be expanded is  (y + 2z)³

To expand a bracket means to multiply each term in the bracket by the expression outside the bracket

Therefore,

(y + 2z)³ =  (y + 2z)(y + 2z)(y + 2z)

Therefore,

(y + 2z)(y + 2z) = y² + 2yz + 2yz + 4z²

y² + 2yz + 2yz + 4z² = y² + 4yz + 4z²

Hence,

y² + 4yz + 4z² (y + 2z) = y³ + 2y²z + 4y²z + 8yz² + 4yz² + 8z³

Therefore,

(y + 2z)³ =  y³ + 2y²z + 4y²z + 8yz² + 4yz² + 8z³

(y + 2z)³ = y³ + 6y²z + 12yz² + 8z³

Therefore, the 4th term is 8z³

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A parallelogram is an easy quadrilateral with two pairs of parallel aspects. the other or dealing with facets of a parallelogram are of equal length and the other angles of a parallelogram are of equal measure. Hence, proved  p + q = r.

A parallelogram has four sides overall and two pairs of facets that might be parallel. A square is a parallelogram that has four equal sides. the other facets are parallel and all corners of the rectangular shape the right attitude. A rectangle is a parallelogram that has 4 contrary, parallel, congruent aspects.

proving p + q = r;

q = ∠OCD = ∠BAO   ( alternate angle)

In Δ AOB

∠OAb  + ∠DBA = p + q -------------------(1)

& ∠AOD + ∠BOA = 180° ------------(2)

Also,

∠OAB + ∠OBA + ∠BOA = 180° --------- some of angle in a triangle.

⇒ ( p + q) + (180° - ∠BOA) = 180° --------using 1 & 2

⇒  p + q - r = 0

⇒  p + q = r

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Given data:

The given circle.

The quadrilateral inside the circle is cyclic in nature, the expression for the cyclic quadrilateral is,

The value of angle V is,

Thus, the value of angle V is 150 degrees.

The quadratic function that includes the given points is given by y = 3/5x² + 6/5x + 6.

When a polynomial function has one or more variables and the highest exponent of any one of the variables is two, the function is said to be quadratic. A "polynomial function of degree 2," then, is a quadratic function.

A quadratic function is one that has the formula f(x) = ax2 + bx + c, where a, b, and c are all integers with a not equal to zero. A parabola is the shape that makes up the graph of a quadratic function. The basic "U" shape of a parabola is the same whether it opens upward or downward, or with a different "width" or "steepness."

If we put the values of points in the above equation, then we get.

Putting point (0,6) we get

6 = 0 + 0 + c

=> c = 6

Putting point (2,8) we get

8 = 4a + 2b + 6

=> 2 = 4a + 2b

=>  = 2a + b                  ......(1)

Putting point (3,-3) we get

-3 = 9a + 3b + 6

=> -9 = 9a + 3b

=> -3 = 3a + b                 ......(2)

From equation (1) b = 2a. Substitute the value of b in equation (2) we get

3 = 3a +  2a

=> a = 3/5

Now, b = 6/5

The quadratic function that includes the given points is given by y = 3/5x² + 6/5x + 6.

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Evaluate the value of expression.

So answer is 9/2 or 4 1/2.

We have The mean of a data-set is given by the sum of all values in the data-set divided by the number of values, so:

data set has 10 values

mean data set is 80

The 9 readable scores have a mean of 84, this is: 9 x 84 = 756

the value of the unreadable score is x

Therefore, the mean is:

then solve for x:

Answer: the value of unreadable score is 44

Given: the vector v

To Determine: The direction of the given vector

The vector diagram is as shown below

The direction of a vector is calculated by the formula

From the given vector, determine x and y

Note, the vector is on the fourth quadrant

Hence, the direction of v is 344.1⁰(nearest one decimal place)

This is a simple question.

The run is related to the x-axis and the rise to the y-axis and the slope is the relation between the two and we can calculate in the following form:

To do so, we need to choose 2 different points in the line and calculate. For our explanation, we will choose points (-1,9) and (3,-3). So let's calculate:

And that is our Slope.

Now we can draw it as follows:

And that is our final answer.

19770609664 is simple power of 52⁶ .

What is exponent and power?

= 52⁶

= 52 × 52 × 52 × 52  × 52 × 52

=  19770609664

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The values of x and y that makes the expression are x = 4 and y = -5

The expression is given as

(4 + 5i)(x + yi)

The above expression is a complex expression

As a general rule, complex expressions are represented as a + bi

Where a is the real part and bi is the complex part

Also, we have

i = √-1

Using the above as a guide, we have

(4 + 5i)(x + yi)

For the above expression to be a real number, then the following must be true

(4 + 5i) must be a conjugate of (x + yi)

This means that

x + yi = 4 - 5i

By comparison, we have

x = 4 and y = -5

Hence, the values are x = 4 and y = -5

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The correct option is D.

The value of r for the given complex number is calculated below:

now,

Since the complex number lies on the positive y-axis.

Therefore, the polar form of the given complex number is

Check the answers below, please

1) Since we have this linear function:

a) We can proceed to state the Domain, the set of inputs for this function as:

Since this Linear function does not have any restraint or discontinuity.

b) The Range, i.e. the set of outputs for this function will be defined for this function as:

c) The Zero, can be found algebraically by plugging f(x)=0

d) Y-intercept is the point in the y-axis where the line intercepts it. Looking at the rule of the function, we can state the y-intercept as:

e) Slope, the measure of how steep a line of a function is, it's always the coefficient of x, in this case:

f) Type of slope. Since the slope is -1/3 , i.e. lesser than 0, then we can classify it as decreasing

g) Evaluating f(3):

h) The value of x, where f(x)= -4 Similarly to the previous item, we can plug into that f(x)= -4 like this:

i) The graph can be traced having the zero, the y-intercept the type of the slope we can plot this:

Answer:

182

Step-by-step explanation:

728 divided by 4 is 182.

Let's determine the sum of the following:

Step 1: Make the two fractions into similar fractions.

The LCM of 4 and 7 is 28, thus, let's convert each fraction into one with a denominator of 28.

We get,

Step 2: Add the fractions.

Therefore, the answer is 15/28.

ANSWER

SA = 26π

EXPLANATION

The total surface area is the sum of the areas of the sides of the cylinder:

In this problem r = 1cm and h = 12cm. The areas to sum are the area of the top and the base, which are identical circles, and the area of the rectangle that forms the side:

To answer this question we will use the following:

Notice that the given set consists of the real numbers that are greater than or equal to 3 or that are less than or equal to -3, the above statement in algebraic notation is:

Using the first equations we get that the given set can be represented by the following absolute value inequality:

Answer:

The simple interest is given by:

Where:

PV = Present value or principal

I = Interest

r = rate

t = time

Solve for PV:

Answer:

$602.4

The quadratic equation is,

The value of coefficients of square term, x term and constant terms are,

a = -3

b = -4

and c = c.

For two real roots,

Dubstitute the values in the equation to obtain the value of c.

So value of c should be greater than -1.333, and from from the options it can be observed that value more than -1.333 is only c = -1.

So answer is c = -1.