What is the area of quadrilateral WXYZ?

What Is The Area Of Quadrilateral WXYZ?

Answers

Answer 1

Answer:

[tex]Area = 105[/tex]

Step-by-step explanation:

Given

[tex]W = (-5,4)[/tex] ---- [tex](x_1,y_1)[/tex]

[tex]X = (3,4)[/tex] ------ [tex](x_2,y_2)[/tex]

[tex]Y = (6,-6)[/tex] ----- [tex](x_3,y_3)[/tex]

[tex]Z = (-7,-6)[/tex] ---- [tex](x_4,y_4)[/tex]

Required

Determine the area;

Area is calculated as thus:

[tex]Area = \frac{1}{2}[(x_1.y_2 +x_2.y_3 + x_3.y_4 + x_4.y_1)-(x_2.y_1 +x_3.y_2 + x_4.y_3 + x_1.y_4)][/tex]

Substitute values

[tex]Area = \frac{1}{2}[(-5*4 +3*-6 + 6*-6 + -7*4)-(3*4 +6*4 + -7*-6 + -5*-6)][/tex]

[tex]Area = \frac{1}{2}[(-102)-(108)][/tex]

[tex]Area = \frac{1}{2}[-102-108][/tex]

[tex]Area = \frac{1}{2}[-210][/tex]

[tex]Area = -105[/tex]

[tex]Area = 105[/tex]

None of the options answer the question:


Related Questions


1 point
Translate the words to an algebraic expression. "The first integer plus the next consecutive integer plus the next consecutive integer."



Answers

Answer:

3x+3

Step-by-step explanation:

The given expression is "The first integer plus the next consecutive integer plus the next consecutive integer."

Let the first integer is x.

Next consecutive integer of x = x+1

Other next consecutive integer of x+1 = x+1+1=x+2

ATQ,

The expression is :

=x+x+1+x+1+1

=3x+3

A population’s instantaneous growth rate is the rate at which it grows for every instant in time. Function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.

r(x) = 0.05(x^2 + 1)(x - 6)

Consider the graph of function r.

Function r has (blank) and (blank). Based on the instantaneous growth rate, the population decreased (blank) hours and the population increased (blank) hours.

Answers

Answer:

Decreased 4 days-96 hours

Increased 6 days-144 hours

Step-by-step explanation:

In order to solve this you just have to look at the graph and after the start of the experiment which is basically the origin of the graph and as you can see immidiately goes down after the start and it reaches the turning point in the day four which is when the graph starts to go up in the Y axis, so that day it would start the increase, and it increases from day 4 to 10 that would be 6 days, and the decrease would be from the origin to day 4.

Find the exponential function evaluate of
Y=2.5x

Answers

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: 2.52.5

y-intercept: (0,0)

x y

0 0

1 2.5

The following is the correct way to show the product for 0.297×7.1:

Answers

the answer is 2.1087

Answer:

2.1087

Step-by-step explanation:

0.297

7.1 +

2.1087

Write the equation of the line the that is parallel to 21x-7y=12 and goes through the point (1, -3).

Answers

Work:
21x-7y=12
-7y=12-21x
y= -12/7+3x

Point: (1,-3)

y-y1=m (x-x1)
y+3= -12/7 (x-1)
y+3= -12/7x + 12/7
y= -12/7x -9/7

The equation is y= -12/7x- 9/7

Question:
7x^2 + 8x = x^2

Answers

Answer:

x1= -4/3 and x2= 0

Step-by-step explanation:

That answer is correct

Help please
-x^3 = 216
a. +/- 6
B. 6
C. -6 ∛6
D. -6

Answers

Answer:

D. -6

Step-by-step explanation:

SInce x is negative, the - before the six would be cancelled out leaving the equation to be 6^3=216 which is correct

what is the sum of all even integers between 9 and 39?​

Answers

Answer:

360

Step-by-step explanation:

10+12+14+16+18+20+22+24+26+28+30+32+34+36+38=360

it is very easy

hope it helps you

PLS HELP MARKING BRAINLY ASAP!!!!!!!!!!!!!!!!!!

Answers

first you would have to go on the right side of the X axis and put a point on 2 and go up 3 and place a point there.

next you can do the same thing but got the the left side of the X axis and that will be the negative side of the numbers.

The midpoint of AB is M(3,3). If the coordinates of A are (2, -1), what are the

coordinates of B?

Answers

Answer:

(4, 7)

Step-by-step explanation:

Given that:

Midpoint of AB = M(3, 3)

Coordinate of A = (2, - 1)

Let coordinates of B = (x, y)

Recall :

Midpoint of AB = [(Ax + Bx) / 2, (Ay + By) / 2]

Mx = (Ax + Bx) / 2

My = (Ay + By) / 2

Mx = 3

Mx = (Ax + Bx) / 2

3 = (2 + x) / 2

2*3 = 2 + x

6 = 2 + x

6 - 2 = x

4 = x

My = 3

My = (Ay + By) / 2

3 = (-1 + y) / 2

2*3 = - 1 + y

6 = - 1 + y

6 + 1 = y

7 = y

Hence,

B = (4, 7)

Which type of data would be BEST displayed in a dot plot?

Answers

Answer:

Fourth Option

Step-by-step explanation:

One lap around the track at Kathleen’s school is 0.4 kilometer. If Kathleen ran 3.5 laps, how many kilometers did she run?

Answers

Answer:

Kathleen ran  2 3/16miles

Answer:

The correct answer is option B


LUCILLES PENCIL POUCH WOULD HOLD 3/8
OF THE 48 PENCILS THAT SHE PURCHASED AT
THE BEGINNING OF THE NEW SCHOOL YEAR.
HOW MANY PENCILS WILL FIT IN HER POUCH. will give brainlist

Answers

Answer:

18

Step-by-step explanation:

You would divide 48 by 8 and multiply it by 3. Otherwise, you could do

3/8 = x/48

x * 8 = 3 * 48

x * 8 = 144

 /8        /8

x = 18

Water flowed out of a tank at a steady rate. A total of 18 and one-half gallons flowed out of the tank in 4 and one-fourth hours. Which expression determines the quantity of water leaving the tank per hour?

Answers

Answer:

D. 37/2 divided by 17/4

Step-by-step explanation:

Answer:

D) 37/2 / 17/4

Step-by-step explanation:

Change 18 1/2 and 4 1/4 into improper fractions.

18 1/2 = 37/2

4 1/4 = 17/4

So the answer is 37/2 / 17/4.

Please correct me if I am wrong, have a great day! :)

what is 20 1/6% as a fraction

Answers

Answer:

1.6

Step-by-step explanation:

1 x 20

6 x 1

=

20

6

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 20 and 6 is 2.

We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.

20/2 = 10

6/2 = 3

10/3

The complete and simplified answer to the question what is 1/6 of 20 is:

3 1/3 = 1.6

so basically what i did is convert 3 1/3 as a simplified fraction and got 1.6

the average or the blank is the blank divided by the blank or the amount of numbers being divided is what ​

Answers

Answer:

Numerrator is the denominator divieded by the other equations is the sum.

Step-by-step explanation:

Hope I helped

Please help, I'm not sure how to do this one!

The average teacher salary in a certain state is $52,300. If the standard deviation is $8,260, find the standard score for the following teacher salaries.

Teacher A: $56,236

Teacher B: $36,875

Answers

Deviation means possible distance in between sometimes 52,300-8,260 is 44,050 so that rules out b because 36,875 us belie 44,050 making the answer a but its always best to check anyways so 52,300+8,260 is 60,550 and 56,236 is in 60,550 so the answer is A

multiply


97.062x12.5

Answers

Answer:

1213.275

or

48,531/40​

PLZ HELP FAST
Suppose x and y give the populations of two different cities where x >y and y > 0. Compare the expressions and select which of the given pair is greater. X/ x +y (select) x+y /X​

Answers

Answer:

(x + y)/x is greater than x/(x + y)

Step-by-step explanation:

Given.

x > y

y > 0

Required

Which is greater?

x/(x + y) or (x + y)/x

Since x is greater than y & y > 0

Then definitely,

x + y > x

By the above analysis:

(x + y)/x is an improper fraction because the numerator (x + y) is greater than the denominator (x)

While

x/(x + y) is a proper fraction because the numerator (x) is lesser than the denominator.

All improper fractions are greater than all proper fractions,

Hence:

(x + y)/x is greater than x/(x + y)

To further explain this:

Take

x = 3 and y = 2

x/(x + y) = 3/(3 + 2) = 3/5 = 0.6

(x + y)/x = (3 + 2)/3 = 5/3 = 1.67

See that (x + y)/x is greater than x/(x + y)

And this is so for all values of x and y

Where x > y and y > 0

Answer:

is less than

Step-by-step explanation:

(9x+5)+(-2x^2+10x)
(9x+5)+(−2x
2
+10x)

Answers

Answer:

If i´m correct and read the answer correct it should be:

-18x³+80x²+65x+5

Step-by-step explanation:

Hopefully this is correct, I couldn't understand if (-2x 2+10x) was spaced or if it was being multiplied.

Rewrite in simplest terms: 4(-5u +3) – 4(8u - 1)

Answers

Answer:

You distribute then combine

your answer is -52u+16

Step-by-step explanation:

Determine the intercepts of the line
X-intercept: (__ , __)
Y-intercept: (__, __)

Answers

I’m gonna try to help you. So in the graph the line on the x intercept is between 100 and 150. Meaning it is at 125. The Y intercept line is marked at 275.

Therefore the answer should be
x-intercept: (125, 0)
y-intercept: (0, 275)

At Nancy's Newsstand, 3 magazines cost $18.00. How many magazines could you buy with $72.00?

Answers

Answer:

12

Step-by-step explanation:

if 3 magazines = $18

$72/$18 = 4 sets of 3

4 x 3 = 12 magazines

Three statistics professors and seven chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors?

Answers

Answer:

P[2qp] = 0,467      or    46,7 %

Step-by-step explanation:

The probability of two of seven chemistry professors is equal to:

P[2 qp] = quantity of combinations of seven elements taken in groups of two, over total quantity of events, therefore

The total quantity of combinations is:

3 statistics professors + 7 chemistry professors taken in groups of 2 that is:

Te  = (3 + 7) ! / 2!*(10-2)!

Te = 9!/ 2!*5!        ⇒    Te = 9*8*7*6*5!/2!*8!    ⇒ Te = 9*8!/2*8!

Te = 45

And successful events are:

C₇,₂  =  7!/2!*(7-2)!

C₇,₂  = 21

Finally, the probability that both professors are chemistry professors is:

P[2qp] = 21/45

P[2qp] = 0,467      or    46,7 %

The probability of selecting both professors are chemistry professors will be 0.4667 or 46.67%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Three statistics professors and seven chemistry professors are available to be advisors to a student organization.

The student organization needs two of the professors to be advisors.

If each professor has an equal chance of being selected.

The probability that both professors are chemistry professors will be

The total quantity of combinations will be

[tex]\rm T = \ ^{10} C _ 2 = 45[/tex]

And successfull events will be

[tex]\rm F = \ ^7C_2 = 21[/tex]

Then the probability will be

[tex]\rm P = \dfrac{F}{T}\\\\\\P = \dfrac{21}{45}\\\\\\P = 0.4667 \ or \ 46.67 \%[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

1. Compare using >,<, or =. d. 24 tenths ______2.5

Answers

Answer:

<

Step-by-step explanation:

[tex]24 \: tenths = \frac{24}{10} = 2.4 \\ \\ 2.4 \: \: \red{\bold{ < }} \: \: 2.5[/tex]

Can you help me please

Answers

It would be 94/2 because bisect is half of the angle and 94 divided by 2 is 47

A 168-inch board is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.

Answers

Answer:

42

Step-by-step explanation:

168 Inches. One is three times the length of the other so, the bigger piece is 3/4 while the shorter is 1/4. Simply multiply 1/4 by 168. You get 42.

why are these similar or not similar​

Answers

Answer:

not similar

Step-by-step explanation:

A similarity would be that they are both scalene triangles.

The function h is defined by h(x)= 2x^2+3. find h (3z).

Answers

h(3z) = 2(3z)^2 + 3 = 18z^2 + 3

h(3z) is equal to 18z² + 3

To find h(3z), we substitute 3z into the function h(x). This means we replace x with 3z in the expression for h(x).

h(3z) = 2(3z)² + 3

Simplifying this expression, we have:

h(3z) = 2(9z²) + 3

h(3z) = 18z² + 3

So, h(3z) is equal to 18z² + 3. This means that if we input any value of z into the expression, the function h will output the corresponding value by evaluating 18z² + 3.

The function h(3z) represents a quadratic expression in terms of z, where the coefficient of z² is 18 and there is a constant term of 3 added to the result.

Learn more about function here

https://brainly.com/question/33615657

#SPJ2

Select the postulate of equality or inequality that is illustrated. 5=5 addition postulate of inequality the multiplication postulate of inequality the symmetric postulate of equality the transitive postulate of equality comparison postulate the reflexive postulate of equality the transitive postulate of inequality​

Answers

Answer:

Reflexive postulate of equality

Step-by-step explanation:

Given

[tex]5 = 5[/tex]

Required

Which option answers the question

From the list of given options, the correct answer is: reflexive postulate of equality

This is so, because:

Reflexive postulate of equality implies that: [tex]a = a[/tex]

So, take [tex]a = 5[/tex]

This gives:

[tex]a = a[/tex]

[tex]5 = 5[/tex]

Hence:

Reflexive postulate of equality answers the question

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