A quadrilateral is formed by the points A(1,-1), B(0,3), C(5,5), and D(6, 1). Plot the points and use the distance formula to find the lengths of all 4 sides. What type of quadrilateral is this?

-34 = x*y

15 = x +y

17 and -2

__________________________

_____________

9 = x*y

6 = x +y

_

Given:

Thesis about question is given

Required:

To select which option is correct

Explanation:

assumption S1 is the distance to the grocery store

assumption S2 is the distance to the south post office

assumption S3 is the distance to the north bank

assumption S is the total distance

according to the question

S1= 10 miles S2=6 miles S3=8 miles

S=S1+S2+S3=10+6+8=24 miles

Required answer:

option D

We know that the multiplication of both sides of the rectangle is the area of it.

In this case

We have a quadrilateral ABCD and we want to calculate the area.

We can divide it in three areas (two triangles and one rectangle) and then add the surfaces.

As it is rotated 45 degrees, we can define a "new unit" that is the diagonal of a square of 1 by 1 unit, in the scale of the graph.

This new unit, the diagonal that we will call "d", by the Pythagorean theorem, has a value of:

We will start then with the triangle ABF. It has a side BF that has a value of 2 diagonals (2d) and a side FA that has a value of 3 diagonals (3d). The area of a triangle is half the multiplication of this two sides, so we have:

The second triangle is CED. We repeat the process and we have:

The rectangle BCEF has an area of:

Now we have the three areas. If we add them we get the area of ABCD:

The quadrilateral ABCD has an area of 26 units^2.

We will have the following:

*First:

**We stablish that x will represent the number of 20 paise coins.

**We stablish that y will represent the number of 25 paise coins.

Second: From this we will then have:

&

[This 850 is due to the fact that 8.50 Rupees are equal to 850 paise].

*Third: We solve for either x or y in the first equation:

Now, we replace this in the second equation and solve for y:

So, we have that there are 18 25 paise coins.

Now, using this we solve for x in the first equation:

So, we have that there are 20 20 pais coins.

We know that

• The path is 3 miles long.

• Amber's goal is 4.5 miles a day.

To find the number of times she will walk around the park, we have to divide.

The domain is the set of all possible values for x. All x values ( horizontal axis) that are going to be used

Domain = (-4,-1,0,4)

The range is the set of all possible y-values . All the y-values (vertical axis) that are used.

Range = (-5)

Explanation:

The difference is:

To solve this we need the exponent of 10 be the same for both terms of the substraction. It is better is we change the exponent of the area of Texas, by moving the decimal point two places to the right:

Now we can substract the numbers and leave the 10³ out:

Scientific notation has always only one place with a number before the decimal point. Therefore 267.79x10³ is not in scientific notation, we have to move the decimal point two places to the left and add 2 to the exponent of 10:

Answer:

The difference is 2.6779 x 10⁵ square miles

The sum of integers should be written like:

9 + (-22) = -13

because the are asking in fact for a SUM of integers

The two integers are 9 and -22

when added you get:

9 + (-22) = 9 - 22 = -13

The formula of compound interest is,

6=a/4+2

Subtract 2 from both sides of the equation:

6-2 = a/4+2-2

4 = a/4

Multiply both sides by 4

4 (4) = a/4 (4)

16 = a

a= 16

We will have that the equation with no real solution is:

Because:

The farmer would like to eclose a rectangle

First we know that the perimeter of the rectangle is

We also know that we have 36 ft of fence, that is we only can enclose a rectangle of 36 ft of perimeter. Then

From this we can find y

The area of the rectangle is

But we know the value of y, plugging this value into the last equation we have that

To find three possible values for the area we only have to give values to x. This values have to be positive (since we can't have a negative lenght). We also notice that the value can't exceed 18 since that would mean a zero area. With those point in consideration we choose three values between zero and 18.

If x=3, then the area is

If x=9, then the area is

if x=15, then the area is

Then we have three possible areas for the rectangle.

The maximum value for the area is 81, and we see that because the equation for the area is a parabola that opens down with vertex in the point (9,81)

You have the following expression:

it means that the number 3 is multipled by itself five times (because of the exponent), then, the previous expression can be written as follow:

The area of the floor plan for the office is 2200 m².

We are given a diagram. The diagram shows the floor plan of an office. The height of the office is 50 meters. The length of the floor of the office is 55 meters. The width of the floor of the office is 40 meters. We need to find the area of the floor of the office.

The shape of the floor of the office is a rectangle. The area of a rectangle is calculated as the product of its length and width. Let the area of the floor of the office be represented by the variable "A".

A = 55*40

A = 2200

Hence, the area of the floor of the office is 2200 m².

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Given the polynomial:

We know that (x + 1) is a factor of f(x). We divide f(x) by (x + 1):

Then:

For the quadratic term, we solve the following equation:

Using the general solution for quadratic equations:

The zeros of f(x) are:

Based on the diagram, the base length of the new shape is half the circumference of the circle as indicated by 1/2C.

The numerator of the left hand side can be rewritten as:

Then, the given equation can be written as:

Since

we have

We can to can cancel out one term x+3 and get

which gives

Finally, in order to check that this value corresponds to a real answer, we need to subsitute this value into the equation and compute the limit when x approaches to -3, that is,

which gives

Since the limit has the form 0/0 we can to apply L'Hopital rule, that is,

which gives

Since the limit exists and is equal to zero then the solution of the equation is: x= -3

We have a rectangle of base 6 and height 4. We have a rectangle like this:

Now, we have a scale factor of 3. We need to multiply each side by 3:

Now the rectangle has a height of 12 and a base of 18.

The area of a rectangle is h*b. Then, the area of the scaled copy is:

Therefore, the scaled copy has an area of 216 square units.

she already had 44 photos

She took 24 photos each day for 6 days.

The function is:

y= 44+24x

where y is the total number of photos and x is the number of days.

The initial value is when x=0

y= 44+24(0) =44

The initial value is 44.

The expression would be:

Where x are the meters climbed.

For 2,000 m we'll have:

A 20°C decrease in temperature.

Solution:

Given:

It is a function in which more than one formula is used to define the output over different pieces of the domain.

The function h(x) given has three outputs for three different domains.

Therefore, the graph using a graph plotter (desmos) is as shown below;

Explanation

We need to present the information given in a table as follows:

The second column shows the probability of obtaining each event. Since they are equiprobable events, their probability are 1/6.

The next column determine the cost of obtaining each event; keeping in mid that each play costs $15.

The last column shows the expected value.

We know that If the value of the game is zero i.e. there is no loss or gain for any player, then the game is fair.

According to the table, there is a loss of 25/6, hence, the game is not fair.

Okay, here we have this:

Considering the provided measures, we are going to calculate the requested surface area, so we obtain the following:

So to calculate the surface area we will use the following formula:

A = a(a + √(a^2 + 4h^2))

A = 8 cm(8cm + √((8 cm)^2 + 4(3 cm)^2))

A = 8 cm(8cm + √(64 cm^2 + 4*9 cm^2))

A = 8 cm(8cm + √(64 cm^2 + 36 cm^2))

A = 8 cm(8cm + √(100 cm^2))

A = 8 cm(8cm + 10 cm)

A = 8 cm(18 cm)

total surface areaA = 144 m^2

Finally we obtain that the total surface area is equal to 144 m^2

Each term is 6 greater than the previous term.

First term is "7".

So,

a = 7

d = 6

Let's find the formula for the series,

We can immediately eliminate the firsst and third choice.

The variable is "t", so the general formula will be:

How many terms are there?

The series starts from t = 1,

since 6(1) + 1 = 6 + 1 = 7

and 6(2) + 1 = 12 + 1 = 13

The terms match!

So, 2nd answer choice is correct!!

Recall that:

Therefore:

Then:

Now, notice that:

Then:

Therefore:

Then:

Therefore:

Since:

we get that:

Answer:

If there are 10 questions with 5 answer choices, then first we need to find out the probability of getting the first questions randomly correct.

Therefore, that is:

The answer is D. 0.0003

We have here working with estimating a population proportion.

We have the following information from the question:

• The sample size, n, is equal to 1200 (n = 1200).

• We have that the fraction that responded "Yes" is 800.

• We need to find a 95% level of confidence for the margin error associated with the poll.

Now, we have the sample proportion for the sample size, n = 1200 is as follows:

Therefore, the sample proportion for the sample size is 800/1200, which is, approximately, 0.67.

The margin of error, in this case, is given by the next formula:

Where:

Now, we have that, for a level of confidence of 95%, the critical value is equal to z = 1.96:

Now, using all of the values at our disposal, we can use the formula to find the margin of error as follows:

Therefore, in summary, we have that:

1. The sample proportion is:

2. The margin of error associated with the poll is:

The equation of the line which represents the given graph is -3x + 6y = 36

We can infer from the graph that the equation of the line passes through the points (0,6) and (-12,0).

Therefore the slope of the line passing through these two points is given by:

m = (0-6)/(-12-0)

or, m = 1 / 2

Now we can use the general equation of the line to get the required equation.

y-6 = 1/2 (x-0)

or, 2y - x = 12

Now we will multiply throughout by 3 we get:

6y - 3x = 36

or, -3x + 6y = 36

The general equation for a straight line is y = mx + c, where m stands for the line's slope and c for its y-intercept. The most frequently used straight line equation is one that has to do with geometry.

There are numerous ways to express the equation of a straight line, such as slope-intercept form,  point-slope form, standard form, general form,  etc.

Hence the required equation is -3x + 6y = 36 .

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Let's begin by listing out the given information: