Mathematics High School

Is the figure shown in the xy- plane a parallelogram? Why or why not. use the coordinates to history your answer.
Please help!!! Due in 15 mins !!

Is The Figure Shown In The Xy- Plane A Parallelogram? Why Or Why Not. Use The Coordinates To History

Answers

Answer 1

Answer:

Step-by-step explanation:

It is a parrallelogram, the two lines are Parallel to each other meaning they will never cross each other

Answer 2

The given xy- plane is a parallelogram.

When a plane figure is called a parallelogram?

A plane figure is called a parallelogram when it have four sides, in which opposite sides are parallel to each other and each side is equal in length to its opposite side.

How to find the distance between two points?

If [tex](x_{1},y_{1} })[/tex] and [tex](x_{2},y_{2})[/tex] are the two points then the distance between these points is given by

[tex]d=\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1} ) ^{2} }[/tex]

Where, d is the distance between two points.

According to the given question

We have a plane figure PSTO

And the coordinates of points P, S, T, and O are (a, b), (a + c, b), (c, 0) and (0,0) respectively.

Now, the length of the sides by distance formula

PS = [tex]\sqrt{(a-a-c)^{2}+(b-b)^{2} }[/tex]

PS = [tex]\sqrt{c^{2}+0 }[/tex]

PS = c

Similarly,

ST =[tex]\sqrt{(a+c-c)^{2}+(b-0)^{2} }[/tex]

ST = [tex]\sqrt{a^{2} +b^{2} }[/tex]

TO = [tex]\sqrt{(c-0)^{2}+(0-0)^{2} }[/tex]

TO = [tex]\sqrt{c^{2} }[/tex]

TO = c

And, PO = [tex]\sqrt{(a-0)^{2}+(b-0)^{2} }[/tex]

PO = [tex]\sqrt{a^{2} +b^{2} }[/tex]

From the above calculation we found that

PS = TO

PO = ST

⇒ Length of the  opposite sides of the plane figure are equals.

And from the given figure we can see that the opposite sides are also parallel to each other.

Therefore, the given xy- plane is a parallelogram.

Learn more about parallelogram here:

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Related Questions

Write and solve a system of THREE inequalities that models the situation below.
Terrence is going to make and sell cupcakes and giant cookies as a fundraiser to earn money for his bank uniform. He sells the cupcakes for $1.25 each and the cookies for $0.75. He knows he will sell at least 10 cupcakes and 24 cookies. He wants to make at least $50. Find a possible combination of cupcakes and cookies he needs to sell to meet his goal.

Answers

Answer:

x = cupcakes

y = cookies

3x + 1y ≥ 205

x cupcakes at $3 each plus y cookies at $1 each is greater than or equal to $205

Step-by-step explanation:

Write equation of the line containing (-3,4) and (-1,-2)

Answers

Answer:

y=-3x+1

Step-by-step explanation:

Answer:

It will be the last one.

Step-by-step explanation:

How do u solve this

Answers

2 should be the answer

We can describe 3x - 2 as an expression.
How can we describe the parts of the expression that the arrows point to?
3x- 2

Answers

Given:

3x - 2

To find:

Describe the parts of the expression

Solution:

3x - 2Let us consider, f (x) = 3x - 2

The standard equation of the straight line is given by, y = mx + c

comparing the given equation with straight line equation, we get,

f (x) = y

m = 3

c = -2

m is the gradient of line

c is the y intercept (the graph crosses the y - axis)

evaluate the expression when x= 2and y= -3 x+y

Answers

Answer:

- 1

Step-by-step explanation:

x + y ← substitute x = 2 and y = - 3 into the expression

2 + (- 3)

= 2 - 3

= - 1

You are to paint the globe held aloft by a statue of Atlas. The diameter of the globe is 10.5 in. How much surface area must you cover with paint if 27 square inches does not need to be painted (to the nearest hundredth)?

Answers

Answer:

Step-by-step explanation:

We have been given that we need to paint the globe held aloft by a statue of Atlas. Its diameter is 10.5 in.

First of all we will find the area of globe using area of sphere formula.

, where r represents the radius of sphere.

Since diameter is 2 times the radius, so the radius of our given globe will be:

Since 27 square inches does not need to be painted, so the area we must cover with paint will be:

Upon rounding our answer to nearest hundredth we will get,

Therefore, we must cover 319.36 square inches with paint.

: If 10 less than 5 times a number is two more than 3 times the number, then the number is ​

Answers

Answer:

x = 1

Step-by-step explanation:

If 10 less than 5 times a number is two more than 3 times the number, then the number is ​

10 - 5x = 2 + 3x

10 - 2 - 5x - 3x = 0

8 - 8x = 0

x = 1

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

check

10 - 5 * 1 = 2 + 3 * 1

5 = 5

the answer is good

Plzz help meeee plzzzz help

Answers

Answer: A. 20%

Step-by-step explanation:

First, to find the total number of teachers, we can add 25+32+18+5+20=100

Next, we divide the number of teachers in 2014 (20) by the total number of teachers (100) as follows:

20 ÷ 100 = 0.2

Finally, to make 0.2 a percentage, we can multiply 0.2 X 100 = 20

Therefore, the correct answer is A.

Write an equation in slope-intercept form of the line that passes through the points (2, 4) and (3.6).

Answers

Answer:

Step-by-step explanation:

slope-intercept form is y=mx+b

m = slope = change in y/change in x

  change in y/change in x = 2/1

  m = 2

b = y intercept = y value when x = 0

  using the slope, go left 2 units and down 4

  when x = 0, y = 0

  b = 0

y = mx+b when m = 2 and b = 0

y = 2x+0

y = 2x

PLEASE I AM IN DESPERATE NEED OF HELP

Answers

Answer:

A

Step-by-step explanation:

The open side means thats number is bigger. Ex: 1 < 2 or 2 > 1

Hope that helps

If a - 5b - 3 = 8, then the straight line ax + by + c = 0 must pass through the point
I) (1, 5)
II) (1, -5)
III) (5, -1)
IV) (-1, 5)
Please show your work...No spam.. Thank you.​

Answers

Answer:

III) (5, -1)

Step-by-step explanation:

Given relationship between the constants of the line ax + by +c = 0:

a - 5b - 3c = 8

We can try options, the obvious one is:

a = 0, b = - 1, c = - 1

In this case the line becomes:

0x - y - 1 = 0y = - 1

This gives us the point (5, - 1), the option III

Hey! i need some help with a math question if anyone doesn't mind helping-
35 = 4x + 7
yes, this is a very simple equation but i have the brain of a 5th grader lol.

Answers

ANSWER: 7

EXPLANATION:
35=4x+7
4x=35-7
x=28/4
x=7

Can I get the brainliest please
The answer is 7
You do 7 minus 35 then divide it by 4

California Cafe has a maximum capacity of
45 customers. If there are currently 27
customers in the cafe, how many more
customers can they seat?

Answers

18 duh just subtract the numbers
It’s 18 hope it helps.

value of complex number i^7+1/i^4​

Answers

[tex]i^7 + \dfrac 1{i^4}\\\\=i^2 \cdot i^2 \cdot i^2 \cdot i + \dfrac 1{i^2 \cdot i^2}\\\\=(-1)(-1)(-1)i + \dfrac 1{(-1)(-1)} ~~~;[ i^2 = -1] \\\\\ = (-1)^3 i+ \dfrac 1{(-1)^2} \\\\=-i+1[/tex]

In a teacher's math course, a linear regression line was calculated to predict
a student's final exam score from the score he received on the midterm. The equation was
Y = 25.5 + 0.82 where y is the final exam score and x is the score on the midterm. AJ scored 90 on the first test. AJ actually scored 99 on his final exam. What is the value of his residual?

A. -1.5
B. 1.5
C. 95
D. 97.5
E. None of these

Answers

The given equation is the best line that approximates the linear

relationship between the midterm score and the score in the final exam.

AJ's residual is 0.3, which is not among the given options, therefore, the correct option is. E. None of these.

Reasons:

The given linear regression line equation is; [tex]\hat y[/tex] = 25.5 + 0.82·[tex]\mathbf{\hat x}[/tex]

Where;

[tex]\hat y[/tex] = Final exam score;

[tex]\hat x[/tex] = The midterm score;

AJ score in the first test, [tex]\hat x[/tex] = 90

AJ's actual score in the exam = 99

Required:

The value of AJ's residual

Solution:

By using the regression line equation, we have;

The predicted exam score, [tex]\hat y[/tex] = 25.5 + 0.82 × 90 = 99.3

The residual score = Predicted score - Actual score

∴ AJ's residual = 99.3 - 99 = 0.3

AJ's residual = 0.3

Therefore, the correct option is option E;

E. None of these

Learn more about regression line equation here:

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https://brainly.com/question/7361586

https://brainly.com/question/14747095

-x - 11 and the opposite of -11

Answers

Answer:

The opposite of -11 is 11, and I dont understand what else you're asking

Step-by-step explanation:

Please help fast!!!!

Answers

i think it’s 3 not sure!

May I please receive help?

Answers

[tex]h = 2 \sqrt{2} [/tex]

[tex]c = \frac{8}{ \sqrt{3} } = \frac{8 \sqrt{3} }{3} \\ [/tex]

solve the equation using elimination

Answers

Answer:

1 1/3

Step-by-step explanation:

you would take 3x+2y=7 and put y=-3x+11 in place of y so it would be 3x+2×-3x+11=7

Which equation could have been used to create this table?


y = 3x


y = x + 3

y = x + 2


y = 4x

Answers

Answer:

y = 3x

Step-by-step explanation:

5x=30
AAAA
Help.. -v-

Answers

Answer:

x equals 6:

5x=30

x=30/5

x= 6

Answer:

x=6

Step-by-step explanation:

to help you understand whatever you do on one side you do on the other so

in this case to find x we need to divide x by 5 and if we divide x by 5 we also

need to divide 30 by 5

∵5x=30

∵5x÷5=30÷5

∵x=6

Write a two-column proof.

I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!
refer to images for question
MUST WRITE FULL PROOF

Answers

Proof:-

In ∆XYZ and ∆VWZ

[tex]\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf <XZY\cong <WZV(Opposite angles)\end{cases}[/tex]

Hence

∆XYZ[tex]\cong[/tex](Side-Angle-Side)

Annie is planning a business meeting for her company she a budget of $1,325 for meeting room at a hotel she expects 26 people to attend the meet cost of rental meet room $270 which is inequality shows to find the amount x Annie can spend on lunch for each person

Answers

Answer:

[tex]1,325\geq 26x+270[/tex]

Step-by-step explanation:

Need help ASP!!! Math-help

Answers

Answer:
Could not lie on the same line
Explanation:

Help please !!!!!!!!!!

Answers

Answer:

35.5225685536425675555

Answer:

67 and 82

Step-by-step explanation:

The values of Y are increasing by 15 everytime, so to find the fourth value we do 52+15 which equals to 67 and then to find the fifth value we do 67+15 which equals to 82. Hope this helps.

4x−1<11 answer my question

Answers

Answer:

Step-by-step explanation:

20 ÷ ____ = 5 need your help

Answers

Answer:

4

Step-by-step explanation:

How can you best describe the outside of one of these objects using polygons? The object has sides, so it is. It appears to be because the sides and angles appear to be congruent.

Answers

The classification of a polygon is described on the basis of the number of sides and vertices of these objects using polygons. It appears to be because the sides and angles appear to be congruent.

The object has 6 sides, so it is. It appears hexagon because the sides and angles appear to be congruent.

We have to describe,

The outside of one of these objects uses polygons, The object has sides, so it is. It appears to be because the sides and angles appear to be congruent.

According to the question,

A polygon shape is any geometric shape that is classified by its number of sides and is enclosed by a number of straight sides. However, a polygon is considered regular when each of its sides measures equal in length.

A minimum of three line segments is needed to draw any closed figure. The corners or points where two line segments meet each other are known as the vertex of a polygon.

The classification of a polygon is described on the basis of its number of sides and vertices.

For example, a polygon of three sides and three angles is known as a triangle whereas a polygon of four sides and four angles is known as a quadrilateral.

A polygon shape is any geometric shape that is classified by its number of sides and is enclosed by a number of straight sides.

However, a polygon is considered regular when each of its sides measures equal in length.

The lengths of each side of a regular hexagon are equal.

The angles of each side of a regular hexagon are equal.

Hence, The object has 6 sides, so it is. It appears hexagon because the sides and angles appear to be congruent.

For more details about Polygon refer to the link given below.

https://brainly.com/question/2416235

Answer:

6, hexagon, and regular

Step-by-step explanation:

The object has  6 sides, so it is a hexagon

It appears to be regular because the sides and angles appear to be congruent.

factor 6 out of [tex]6x^2[/tex] - 18

Answers

Answer:

See below

Step-by-step explanation:

6x² - 18 = 6*x² - 6*3 = 6(x² - 3)

[tex]\\ \sf{:}\Rrightarrow 6x^2-18[/tex]

Take 6 common in order to factor out6x^2=6(x^2)18=6(3)

[tex]\\ \sf{:}\Rrightarrow 6(x^2-3)[/tex]

I need help with the multiple choice ​

Answers

Answer:

d

Step-by-step explanation:

they intersect but aren't perpendicular.

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