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 !!
Answers
Answer:
Step-by-step explanation:
It is a parrallelogram, the two lines are Parallel to each other meaning they will never cross each other
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:
https://brainly.com/question/11220936
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Related Questions
May I please receive help?
Answers
Answer:
Length of the shadow = 20.5 cm
Step-by-step explanation:
Given the 32-meter height of a tall building, and its casted shadow of 38 meters, we can find the unknown length of the shadow by using the Pythagorean Theorem.
Definition:The Pythagorean Theorem states that the squared length of the hypotenuse of a right triangle is equal to the sum of the squared lengths of the legs.
The algebraic representation of the Pythagorean Theorem is:
c² (hypotenuse) = a² (leg₁) + b² (leg₂)
SolutionTo solve for the given problem:
Let c = 38 m (distance from the top of the building to the tip of the shadow)
a = unknown length of the shadow
b = 32m (height of the building)
Since we have to solve for the value of a (unknown length of the shadow), we must algebraically solve for a:
c² = a² + b²
Subtract b² from both sides:
c² - b² = a² + b² - b²
a² = c² - b²
Substitute the given values into the formula for solving a :
a² = c² - b²
a² = (38)² - (32)²
a² = 1444 - 1024
a² = 1444 - 1024
Next, take the square root of both sides to solve for a:
[tex]\displaystyle\mathsf{\sqrt{(a)^2}\:=\:\sqrt{420}}[/tex]
a = 20.49 or 20.5 cm
Therefore, the length of the shadow is 20.5 cm.
Mrs phillubum has $200 in her bank account and is saving at a rate of $25 each week.
Answers
To become a member of the book-of-the-month club there is a $40 sign-up fee and a $2 monthly fee. Write an equation in slope-intercept form that models this situation.
Answers
Answer:
y = 2x + 40
Step-by-step explanation:
slope-intercept formula: y = mx + b
x = number of months
y = total cost
slope is 2 and y-intercept is 40
14.) Which numbers are in order from least to greatest?
O 79%, 0.55, 1/4
O 1/4, 0.55, 79%
0.55, 1/4, 79%
O 79%, 1/4,0.55
Answers
Answer:
The second one or B
Step-by-step explanation:
1/4 = 0.25 then 0.55 then 79% = 0.79
what is the tangent ratio of angle x°
Answers
Answer:
tan x = 3/4
Step-by-step explanation:
The hypotenuse of the triangle is 10 ft.
For angle x, the opposite leg is 6 ft, and the adjacent leg is 8 ft.
tan A = opp/adj
tan x = 6 ft / 8 ft
tan x = 3/4
At a restaurant your total bill is $45. Sales tax is 5%. What is your total bill after tax?
Answers
Answer:
47.25
Step-by-step explanation:
Heres how I found the answer:
if sales tax is 5%, then we need to find 5% of 45 and add it to 45!
5% of 45= 2.25
(I found this by doing 45*5%, or 45*.05)
Now, add 2.25 to 45!
Total bill=47.25 dollars
Hope I could help!
HELP ME PLEASE!
Find the value of the discriminant for the quadratic equation. Then, describe the number and type of roots for the equation.
25x^2 -20x + 4 = 0
Answers
Answer:
real and equal roots
Step-by-step explanation:
because at end of calculation,0=0
In the figure shown below find the value of a, round to the nearest tenth.
Answers
What Pic or Figure Lol
Erin and Jamie are collecting shells while the tide is out Erin has 27 shells and she has 9 more shells than Jamie write an equation for this situation and find how many shells Jamie has collected
Answers
Answer:
27-9= 18
Step-by-step explanation:
Erin's total shells is 27, her total is 9 more shells than Jamie has. Thus you subtract 9 from 27 to get the number of shells Jamie collected.
does 7x+3x-8 = 2(5x-4) have one solution, no solution, or infinitely many solutions?
Answers
Answer: only has one solution
Step-by-step explanation: If you find the answer for 7x+3x-8, youll get 10x+8. This will be the same answer for 2(5x-4). Making them equal and having only one solution
Answer:
x has infinite values.
Step-by-step explanation:
7x+3x-8 = 2(5x-4) = 7x+3x-8 = ||10x-8 = 10x-8||
In this case this we have the same eqations on both sides, x = anything.
In other words, x have infinite values.
what is .072 divided by 345.00
Answers
Answer:
Step-by-step explanation: if its .072
or if it 0.72/345.00
0.00208695652
WILL GIVE BRAINLIEST! what are the values of a and b so the system of equations has infinitely many solutions?
y=6x+b
y=ax+3/4
Answers
Answer:
a = 6
b = 3/4
Step-by-step explanation:
They both need to have the same slope.
The slope in the first equation is 6
That means that the second equation must have a = 6
They both need to have the same y intercept
The second equation has a y intercept of 3/4
Therefore b in the first equation, must be 3/4
heeeeeelllllppppppp please
Answers
Answer: D. <Q ≅ <T
Step-by-step explanation:
This satisfies the ASA Congruency Theorem.
WHAT IS 10x+55 = 100
Answers
Answer:
[tex]x=\cfrac{9}{2}\: or\: x=4.5[/tex]
Step-by-step explanation:
[tex]10x+55 = 100[/tex]
[tex]10x+55-55=100-55[/tex]
[tex]10x=45[/tex]
[tex]\cfrac{10x}{10}=\cfrac{45}{10}[/tex]
[tex]x=\cfrac{9}{2}[/tex]
HOPE IT HELPS!
Subtract 55 from both sides.
10x=100-55
Simplify 100-55 to 45.10x=45
Divide both sides by 10.
[tex]x = \frac{45}{10} [/tex]
Simplify[tex]x = \frac{9}{2} [/tex]
An ant looks up at an angle of elevation of 30degrees to the top of a tree. If the ant is 40 feet from the base of the tree, what is the height of the tree, to the nearest tenth?
a.
23.1 feet
b.
25.2 feet
c.
32.8 feet
d.
34.6 feet
Answers
Anaswer Let the height of the tree be
y
ft. By condition;
tan
38
=
y
43
or
y
=
43
tan
38
or
y
=
33.6
ft [Ans]
Step-by-step explanation:
Answer:
Step-by-step explanation:
The CORRECT answer is
C. 32.8 feet Got it correct
Help for points! please
Answers
Answer:
B 5/12
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
i just did it
have a nice dayyyyyyyyyyyyyyyy
What did the wall say to the bookcase 4. 2 puzzle time answers.
Answers
Answer:
meet you at the corner
Step-by-step explanation:
identify the coefficient in the term 7x^2y^3
Answers
The coefficient in the term 7x^2y^3 is 7
The term of the expression or equation is given as:
7x^2y^3
For an expression represented as 2x, the coefficient is 2.
Similarly, the coefficient in the term 7x^2y^3 would be 7
Hence, the coefficient in the term 7x^2y^3 is 7
Read more about terms and coefficients at:
https://brainly.com/question/13602562
Use the function z=7c to find the value of z when c=8.
Answers
Answer:
z = 56
Step-by-step explanation:
z = 7(8)
is it Substitution or linear combination?
Answers
Answer:
Substitution
Step-by-step explanation:
You would solve this system using the substitution method as one of the variables are define.
In other words y = x + 3 defines y with the expression "x + 3" and we are easily able to substitute this into the other equation for y and solve of x.
2,38 x 5,6 + 9,52 hljkjkk
Answers
Answer:
22.848
Step-by-step explanation:
just type it into a calculator dawg
(WILL GIVE BRAINLIEST)
The points (2, -4), (x,y), A and B all lie on the line in the applet below. Find an equation relating x and y
Answers
Answer:
y=3/4x-5.5 this should be your answer
Step-by-step explanation:
sorry of im wrong
have a wonderfull day!
Pls pls I just need the equation to this thank you so much!
Answers
Answer:
5.00+5.5+5.10+5.15+5.20+5.25= x
x is whatever the cost is.
if you want x, it is.... 31.2
or
y=5.00+5.5+5.10+5.15+5.20+5.25
If you want the equation in linear form (as in y= _x+b), then it is:
y=0.001x
sorry if im wrong! :D
Step-by-step explanation:
Just ask!
Hope this helps... :)
Which pairs of angles are alternate interior angles? Select all that apply.
A. 3 and 6
B. 3 and 8
C. 4 and 5
D. 4 and 7
E. 1 and 8
PLEASE HURRY!!
Answers
10x1+2x60/10
Hi! Um I have only four questions on an assignment thats due Friday, this is one of them and I keep getting stuck, can someone please help me out?
Answers
Answer:
2
Step-by-step explanation:
Evaluate 5−1/−90. Write your answer as a fraction in simplest form.
Answers
Answer:
2/-45
Step-by-step explanation:
5-1 = 4
4/-90 = 2/-45
Hope that helps
Sally's Stuffed Animal Company charges $0.75 per pound to ship stuffed animals. Part A: Write an equation to determine the total cost, c, to ship p pounds of stuffed animals. Use your equation to determine the cost of shipping 2 pounds of stuffed animals. (6 points) Part B: If the company reduces the cost to ship the stuffed animals by $0.05 per pound, write an equation to determine the total cost, c, to ship p pounds of stuffed animals with the reduced cost. (4 points)
Answers
Rate of shipping per pound of stuffed animal = $0.75
Therefore total cost for P pounds = C = 0.75 P
Cost of shipping 2 pounds of stuffed animals = 0.75*2 = $1.50
Part B :
If the cost is reduced by $0.05 per pound then the reduced cost per pound = 0.75 - 0.05 = $0.70
Therefore total reduced cost for P pounds = C = 0.70 P
Answer:
i think the person on top of me is correct :)
Step-by-step explanation:
Deshaun has 38 carnival tickets.
It costs 5 tickets to ride the roller coaster.
How many rides can he take?
Answers
Answer:
7 rides
Step-by-step explanation:
38/5=7 with a remainder of 3. He need 5 tickets to ride so he can only take 7 rides.
Explanation in steps: 38/5=7 with a remainder of 3. He can only take 7 rides because he needs 5 tickets to ride.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
72
The measure of angle is 4. The measure of its reference angle is
and tan eis
Answers
Step-by-step explanation:
the reference angle is the smallest angle difference between the defining terminal arm of the angle and the x-axis. it is always positive.
if an angle is smaller than 90°, then it is is own reference angle.
7pi/4 is 1pi/4 (or simply pi/4) short of a full circle (2pi or 8pi/4).
therefore, if is easy to see that this pi/4 is the reference angle (45°).
tan(7pi/4) = -1, while tan(pi/4) = 1.
for every 45° angel in every quadrant the absolute values of sine and cosine are equal.
but in quadrant 1 both, sine and cosine, are positive, while in quadrant 4 sine is negative and cosine is positive.
and since tan = sine/cosine, this gives us the results above.
Can somebody please help me
Answers
Answer:
b is 62 a is 118 c is 59 I have to get 20 characters