Write an equation for the line parallel to the given line that contains B. B(3, 8) ; y = - 4x + 7

Centroid theorem: the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.

For the given triangle:

XA is the sum of XM and MA:

Use the two equations above to find MA:

Answer:

0.12

Explanation:

The expected value of a probability distribution can be obtained using the formula:

Therefore, the expected number of accidents will be:

The expected number of accidents each day is 0.12.

Generating ordered pairs is to solve for "y" using the function above with the given "x" values -4, -2, 0, 2, and 4.

If x = -4, then y = 7.

y = (-4)² - 9

y = 16 - 9

y = 7

If x = -2, then y = -5.

y = (-2)² - 9

y = 4 - 9

y = -5

If x = 0, then y = -9

y = 0² - 9

y = 0 - 9

y = -9

If x = 2, then y = -5

y = 2² - 9

y = 4 - 9

y = -5

If x = 4, then y = 7

y = (4)² - 9

y = 16 - 9

y = 7

To summarize, the ordered pairs for the function y = x² - 9 using the given x - values are:

1. (-4, 7)

2. (-2, -5)

3. (0, -9)

4. (2, -5)

5. (4, 7)

Below is the graph of the equation. Due to the nature of the equation, the graph is a parabola.

We are given the following expression:

To simplify this expression we will use the following property of radicals:

Applying the property we get:

Now, the first radical is equal to 9 since 9 x 9 = 81, therefore, we get:

For the second radical we will use the following property of absolute values:

Replacing we get:

Therefore, the expression reduces to the product of 9 and the absolute value of "x".

Given:

Population =300000

Growth rate = 4.5 %.

time = 14 years.

consider the exponential growth equation.

where a is the initial value and r=growth rate.

Let y be the number of population after t years.

Substitute a=300000, r=4.5/100. t-14 in exponential growth equation, we get

Hence the population after 14 years is 555584 people.

SOLUTION

A 15-sided die has 15 faces numbered 1 to 15.

So the total possible outcome is 15.

Of all the numbers from 1 to 15, only 6 and 12 are divisible by 6. Therefore the numbers divisible by 6 is 2.

So the required outcome = 2

Probability =

So,

The system of equations given are

Solve the given system of equations using elimination method

Subtract equation 1 by equation 2.

Now find the value of y by substitute the value of x in equation 1.

Hence the coordinates of x and y to the system of equations is

A circle is the set of all points in a plane at a given distance called the radius of a given point called the center. In this sense the points that lie on the circle represent the solutions for the equation of a given circle. Therefore, the statement is true

It’s c counting your heartbeats

My reasoning is that a wrist watch, a calendar and a stop watch all function on metered, constant intervals of time. A heart beat doesn't. It changes from person to person, from moment to moment. It isn't regular enough to be a precise unit of measure.

Answer:

[tex]\frac{3\pi }{4} \ and \ \frac{5\pi }{4} .[/tex]

Step-by-step explanation:

[tex]1. \ cosx=-\frac{\sqrt{2} }{2};\\x=^+_-\frac{3 \pi}{4}+2 \pi n, \ where \ n=Z.[/tex]

2. finally, the answer is

[tex]\frac{3\pi }{4} \&\frac{5\pi }{4} .[/tex]

We need to find the period of the sinusoidal function in this case we have the next form

First, we need to find the amplitude in this case

The amplitude is 3

Then we need to find the period

and the the displacement b is 2

Then for a we have

Therefore we have

ANSWER

To be able to determine the bags of fertilizer that the gardener will need, let's first determine the area of the garden.

Since the shape of the garden is a trapezoid, we will be using the following formula:

We get,

Let's determine how many bags of fertilizer will be used.

We get,

Therefore, the gardener will be needing 22 Bags of Fertilizer.

We know 1 day = 24 hours

Let's convert 5 days to hours:

Now, we have the ratio:

22 hours to 120 hours

We can write it as a fraction:

This is not in its lowest terms. We can divide numerator and denominator by "2", to get:

Thus, final answer is:

11/60

or

Answer:

Explanation:

Here, we want to write the given equation in standard form

The equation of a line in standard form is as follows:

What we have to do now is to bring the x and y terms together

We can have this as follows:

-4 - 2y = -x

We want to leave -4 alone on the left

That means we have to transfer -2y that is there with it

To transfer -2y over the equality sign , its sign changes

-4 = +2y - x

But +2y can be written as 2y only

Finally by re-arrangement:

-x + 2y = -4

The formula to find the sequence is given by:

Where a1 is the first term of the sequence, n is the number of terms and d is the common difference. We can find the common difference by the following formula:

With the given terms of the sequence we can find d:

The common difference is d=5.

Now, apply the formual to find the next 4 terms of the sequence:

The next 4 terms are: A. 16,21,26,31

ANSWER :

EXPLANATION :

From the problem, we have an expression :

The divisor is (5k - 4)

Step 1 :

Divide the 1st term by the first term of the divisor.

The result is 10k^2

Step 2 :

Multiply the result to the divisor :

Step 3 :

Subtract the result from the polynomial :

Now we have the polynomial :

Repeat Step 1 :

The result is 10k

Repeat Step 2 :

Repeat Step 3 :

Now we have the polynomial :

Repeat Step 1 :

The result is 1

Repeat Step 2 :

Repeat Step 3 :

Since -3 is a number, this will be the remainder.

Collect the bold results we had from above :

(10k^2 + 10k + 1) remainder -3

Note that the remainder can be expressed as remainder over divisor.

That will be :

Given:

The second step is writing the terms individually and the addition sign between them, so, we will use the property of the opposite addition

For example, instead of writing: (1 - a), we can write it as 1 + (-a)

So, the expression will be:

2)

A polygon has an infinite number of sides and they are connected to each other end to end. This means that it is an enclosed figure. Looking at the figure, it has all these characteristics. Thus,

It is a polygon

Next, we would count the number of sides. In this case, it is 10. A 10 sided polygon is called a Decagon. Thus, the given figure is a Decagon

Sum the lengths that the person cuts:

To sum mixed numbers:

1. Add the whole numbers:

2. Add fractions

Then, the person cuts 7 9/8 ft, substract it from the initial 12 ft roll of rubber hose:

Given that the current model of the car cost;

We are informed that the next model of a sports car will cost 14.4% more than the current model.

The price increase in dollars will then be given as;

Answer 1: Price increase in dollars is $5904

The cost of the next model will then be the sum of the current model and the price increase in dollars.

This would give;

Answer 2: The cost of the next price model is $46904

Given:

The monthly cost is 37 min is $13.21

70 min cost is $17.50

Find-:

The monthly cost for 45 minutes of calls

Explanation-:

The linear equation is:

Where,

The formula of the slope is:

The point is:

So, the slope is:

Slope is:

The general equation of a line:

The value of "c" is:

The equation is:

Cost at 45 min. is:

The 45 min cost is $14.25

Empirically we can see the σ ranges of a Gaussian distribution in the following figure

From exercise we know that:

We will calculate how many sigmas the given range is to know what the percentage of scores :

The score 131.3 is 2 sigmas from the mean

The score 168.9 is 2 sigmas from the mean

The only formulas you have to know are:

When you do not know the root of a number, you have to express its root like a product of its main factors, for example:

To find these factors, we can divide the original number among other numbers and multiply them, for example:

When we know those factors, we can use the laws of roots to simplify:

With this in mind, we can now solve the exercise:

First term:

Second term:

*Notice that

Third term:

*Notice the followings:

Finally,

we know that

The central angle is 90 degrees

so

18+R=45 degrees

R=45-18

Answer:

b: a rotation of 90° about B

Explanation:

A transformation down and right of the figure look like this:

Where the figure is just translated, so the orientation of the figure is the same.

In the same way, a rotation of 360° doesn't change the figure, because it is equivalent to make a full turn of the figure.

Finally, a rotation of 90° about B looks like this:

Where each segment of the initial figure forms an angle of 90° with its corresponding segment of the reflected figure. For example, BA is perpendicular to B'A'

Therefore, the answer is b: a rotation of 90° about B.

3. 6c

It multiplication between six and c.

Six times a number c.

4.

x-1

Its a subtraction.

A number minus one.

5.

t/2

A number divided by two.

6.

3t-4

Three times a number minus 4

Recall that the diagonals of a rhombus are perpendicular bisectors of each other, therefore all the right triangles formed by the diagonals as shown in the given diagram are congruent, therefore:

Solving the last equation for angle 1 we get:

Answer:

The quadrants on a xy frame are numbered as below:

The image is originally in the Quadrant I, if we reflect it in the x-axis, then it'll be placed on the fourth quadrant. So the answer is D Quadrant IV.

The Solution:

We are required to give an example of a quadratic equation.

Describe a chosen method for solving the quadratic equation.

Solve it using the method you described.

A quadratic equation is an equation in the form:

So, an example of a quadratic equation is:

My chosen method of solving the quadratic equation is the Formula Method.

The quadratic formula (also known as Formula Method) is given as

Where

Solving the above quadratic equation using the formula method.

Substituting these values in the formula, we get

Therefore, the correct answer is x = 2 or -3

We have the following, L, of the beam varies as the product of the width and the square of the height:

And varies inversely as the lenght of the wooden beam:

therefore:

where k is the proportionality constant

w = 4, h=8, l = 216 and L = 5050

now, if w = 2, h = 5, l = 144: