In NOP, PNOP and m2O = 32. Find m P.

sides of the rectangle:

4

x+1

Area of the rectangle = product of the sides

4 (x+1 )

Apply distributive property:

4(x)+4(1)

4x+4

So, the correct options are:

C. 4x+1

E.4x+4

Solution:

Given:

We have the angle between each hands of the clock to be

12. For the first part we rotate 90° and reflect on the y-axis

Then we reflect on the x-axis

13. First we reflect on the y-axis, then we rotate 90° and finally we reflect on the x-axis

Given:

Solution

We are required to solve the equation for c.

First, we open the bracket:

Next, we make c the subject of formular:

Answer: c = 8

Parallel lines have the same slope, thus, using the equation of the parallel line, we can find out the slope of the line that passes through the given points.

To find the slope of a line given its equation, we have to put the equation into the slope-intercept form, whcih we can do by solving the equation for y:

The slope of the line is the coefficient multiplying x, which is 2/3 in this case.

So, let's name the slope m:

Since the lines are parallel, both have the same slope m.

Also, if we want to find the slope given two numbers on the line, we can use the following equation:

So, we have the points (a, 4) and (2, -5) and we have the slope m = 2/3. Substituting these, we have:

Thus, the value of a is 31/2.

To find f(-3) we have to substitute x = -3 in the equation.

Since the opposite sides of a parallelogram are congruents, we can write the following equations:

From the first one, we have:

From the second one, we have:

So we have x = 24 and y = 11, therefore the correct option is the second one.

To find this area, it is necessary to solve an integral, actually the sum of 2 integrals

The first one must be evaluated from -3 to 2 and the second one from 2 to 3

Evaluate the first integral

Evaluate the second integral

Now, solve the sum

The area is 169/6

Answer: Probability is 1/3

Step by step explanation:

The probability (P) of an event is:

The probability that a randomly selected student has 0 siblings and is iiresponsible is:

a pet store has c tanks of fish. Each tank has 24 fish. Using c, write an expression for the total number of fish in the store​

the equation is equal to

Multiply the number of tanks by 24

so

24c

Part 2

1/13 is the reciprocal of 13

because

(13)(1/13)=1

a number multiplied by its reciprocal is equal to 1

3x + 3y = 6 (eq. 1)

9x - 5y = -24​ (eq. 2)

Multiplying equation 1 by 3,

3(3x + 3y) = 3*6

3(3x) + 3(3y) = 18

9x + 9y = 18 (eq. 3)

Subtracting equation 2 to equation 3,

9x + 9y = 18

-

9x - 5y = -24​

---------------------

14y = 42

y = 42/14

y = 3

Replacing this result into equation 1,

3x + 3(3) = 6

3x + 9 = 6

3x = 6 - 9

3x = -3

x = -3/3

x = -1

We will to use the formula to a sector areaa, which is given for:

Where r is the radius and θ is the central angle.

We can rewrite the formula to obtain the central angle like this:

We replace with the values of the track:

Then we change radians to degrees:

Then the correct answer is 102°.

Firstly, let x represent Alex's age, y represent George's age and z represent Carl's age.

from the question;

Alex is 12 years older than George, So;

Carl is three times older than Alex, So;

The sum of their ages is 68, So;

Now we have three equations and three unknowns, so it is solvable.

Let us substitute equation 2 into equation 3; that is replace z with 3x in equation 3.

Next, let us substitute equation 1 into equation 4. that is replace x with y+12 in equation 4.

we can now solve for the value of y from equation 5.

let us now replace y with 4 in equation 1 to get the value of x. since y = 4;

then, since x =16 let us replace x with 16 in equation 2 to get z.

so we have;

We now need to find the ratio of George, Carl and Alex's age.

So the ratio of their ages are;

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

f(x) = x³ + 2x² - 5x - 6

zero:

x = 2

Step 02:

roots:

solution set:

2 | 1 2 -5 -6

| 2 8 6

________________

1 4 3 0

x² + 4x + 3 = 0

(x + 3)(x + 1) = 0

x = - 3

x = - 1

The answer is:

solution set:

{-3 , -1 , 2}

We need to take the values of the table and check which of the options fit with the results.

In the first line of the table we have p=2 and C=27.54.

Using the equation in option A, for p=2 we would get:

Which is not value for C in the table. Thus we discard option A.

Using the equation for option B, for the value of p=2, we would get:

Which is indeed the value of the table.

To confirm, we try now with the next value of p, p=3, and check if we get the same result with equation B as with the table:

Which is also the value for C in the table.

Thus we confirm that option B is the correct equation

Okay, here we have this:

Considering the provided information, we are going to calculate the requested value, so we obtain the following:

Accordingly, since the amount of salt remains the same, then we have the following equality, where x represents the amount of water that must be added:

0.4(85)=0.17(x+85)

Let's solve for x:

34=0.17x+14.45

0.17x=34-14.45

0.17x=19.55

x=19.55/0.17

x=115

Finally we obtain that must be added 115 ounces of water to make a solution that is 17% salt.

The domain of a function is the set of all values that the x-variable can take.

On the other hand, the range of the function is the set of all values that the function takes when it is evaluated at elements of the domain.

For the given expression:

The denominator is (x-1)^2. Since the denominator must be different from 0, then:

Then, the only restriction for the variable x is not to be equal to 1. Then, the domain of p(x) is the set of all real numbers except 1, which can be written using interval notation as:

Since the exponent of the denominator is 2, then the denominator is always positive. Since the coefficient of the term 1/(x-1)^2 is -1, then the whole expression must always be negative. Additionally, there is no way in which the expression can be equal to 0.

Then, the range of the function is the set of all negative numbers, which can be expressed using interval notation as:

Therefore, the answers are:

Answer:

Below

Step-by-step explanation:

A  yes     all values of y

B  yes    slope is undefined for a vertical line

C  no      there is no  y axis intercept for this line

D  yes     the line intercepts the x-axis at x = -2

E   no       the domain is only  x = -2

Given:

Strip diagrams are given.

Option D represents the 175% .

Option D is the correct answer.

The amount of tax to be paid on the assessment of the house is $4522.

Given that the taxes on a house assessed at 90,000 are $3420 a year, the tax rate will be:

= Tax / Total value.

= 3420 / 90000

= 3.8%

Therefore, when the assessment is raised to 119,000 and the tax rate did not change, the value of the tax will be:

= Tax percentage × New assessment

= 3.8% × 119000

= $4522

The tax is $4522.

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the given expression is

so the quotient will be 2.4

Step 1

Given;

Required; To

1) write an expression to find what was paid by Ron before taxes

2)Find the total cost before taxes of the comic books, if each one costs $2.50

Step 2

Write the expression of what Ron paid before taxes

Step 3

If each book was regularly $2.50, find the total cost before taxes

The intervals where the graph is negative are those where it goes below the x-axis. With the figure we can easily identify the following negative portion of the graph:

As you can see, these negative values are located for all the points within (-5, -1), this is equivalent to the interval -5 < x < -1. Then option B is the correct answer

The question is given as : -3A +2 B

[2 5] + { 6 5 }

[7 0 } { 1 1 }

For the first matrix , multiply by -3 and the second matrix multiply by 2

To multiply a matrix, every value in the bracket is multiplied by the scalar.

For -3A multiply the values in the bracket with -3 as;

For 2B

Now perform the addition as; -3A + 2B

This will give the following;

The percent change in the price of television from initial price $500 to final price $199 is 60.2.

What are Percentages?

The term 'per cent' means 'out of a hundred'.

Percentage is a way to define  parts of a whole.

To convert fraction to a percentage, first convert fraction to decimal,

then multiply decimal value with 100, with '%' sign.

So, Percentage change = [tex]\frac{initial-final}{initial}[/tex]×100%

      Percentage change = { ( $500 - $199 ) / $500 } × 100%

                                        = { $301 / $500 } × 100%

                                        = .602 × 100%

                                        = 60.2%

Hence, the percentage change in tv price is 60.2%.

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answer is one solution

We need to find the equation in slope-intersect form

of the given lines.

For the horizontal line, we can see that it passes through points

the its slope (m) is given by

Then, the line equation has the form

where b is the y-intercept. From the picture, we can see that the line crosses the y-axis at y=7, therefore, b=7. Then, the line equation for the horizontal line is

Similarly, we can apply the same procedure for the other line. We can see that it passes through points

Then, the slope (m) of this line is given by

Then, the line equation has the form

Since this line crosses y-axis at y=-2 then b=-2. Hence, the equation is

In summary, the system of linear equations is: