Answers
The values of x and y that make the quadrilateral a parallelogram are x=3 and y=1.
What is parallelogram and its properties?A parallelogram is a four-sided flat shape with opposite sides that are parallel and equal in length.
Properties are:-
Opposite sides if parallelogram are equal.
The consecutive angles of a parallelogram are supplementary (their sum is 180 degrees).
The diagonals of a parallelogram bisect each other (they intersect at their midpoint).
The slope of the line between the points (4x+6, 4y-3) and (7x-3, 3y+1) is:
slope = (3y+1 - 4y+3) / (7x-3 - 4x-6)
= (-y + 4) / (3x-9)
The slope of the line between the points (7x-3, 3y+1) and (3y+1, 4y-3) is:
slope = (4y-3 - 3y-1) / (3y+1 - 7x+3)
= (y-4) / (7x-3 - 3y-1)
= (y-4) / (7x-3 - 3y-1)
Setting these two slopes equal to each other, we have:
(-y + 4) / (3x-9) = (y-4) / (7x-3 - 3y-1)
Simplifying this equation, we get:
(7x-3 - 3y-1)(-y+4) = (3x-9)(y-4)
-7xy + 28x + 3y^2 - 13y - 7 = 3xy - 12x - 9y + 36
Rearranging and simplifying, we get:
3x + 2y = 11 ... (1)
Similarly, we can find the slope of the line between the points (4x+6, 4y-3) and (3y+1, 4y-3) and the slope of the line between the points (7x-3, 3y+1) and (4x+6, 4y-3) and set them equal to each other. We get another equation:
4x - 3y = 9 ... (2)
We now have two equations with two variables. Solving for x and y, we get:
x = 3
y = 1
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Related Questions
What is the product of -4 and 8.1?
A. -32.4
B. -12.1
C. 12.1
D. 32.4
Answers
Answer:
-32.4
Step-by-step explanation:
What you do is the -4 x the 8. after that you should get 32. Then you do 4 x the 1. Hence, you should get 4. Because of that you put the 32 and 4 together. your final answer is -32.4
Answer:
The answer is A. -32.4
Step-by-step explanation:
What you do is the -4 x the 8. after that you should get 32. Then you do 4 x the 1. Hence, you should get 4. Because of that you put the 32 and 4 together. your final answer is -32.4
Hope this helps :)
-2(x – 3) - 2
simplify the expression
Answers
Answer:
-2x+4
Step-by-step explanation:
-2(x-3)-2
-2x+6-2
-2x+4
Rewrite log: 512 = 3 into exponential
form
A. 3° = 512
B. 8 = 512
C.512 = 8
D. 512 = 3
A
B
С
OD
Answers
The exponential form of equation log₈512 = 3 is 8³ = 512.
What is inverse form of Exponential Equation?The inverse of the exponential function y = aˣ is x = [tex]a^{y}[/tex]. The logarithmic function y = logₐx is defined to be equivalent to the exponential equation is x = [tex]a^{y}[/tex].
Here,
log₈512 = 3 compare with y = logₐx
we get, a = 8, x = 512, and y = 3
Now Exponent equation is x = [tex]a^{y}[/tex]
512 = 8³
Thus, The exponential form of equation log₈512 = 3 is 8³ = 512.
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What is the proportion of 36 / x equals 8/7
Answers
Answer:
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
36/x=8/7
x times 36/x=x times 8/7
Cancel multiplied terms that are in the denominator
cancel both x’s for you should have 36=x times 8/7
Combine multiplied terms into a single fraction
36=8x/7
Multiply all terms by the same value to eliminate fraction denominators
36=8x/7 so you multiply 7 times 36=7 times 8x/7
so you simplify so you get 252=8x
then you Divide both sides of the equation by the same term
252=8x 252/8=8x/8 so you get 63/2
so your final answer is x=63/2
I hope that I helped you have a nice day or night!
Adam and Mags win £2400. They split the money in the ratio 1:5. How much does Adam get?
Answers
Answer:
Adam gets £400
Step-by-step explanation:
Adam : Mag
1:5 1+5=6
2400÷6=400
400x1=400
400x5=2000
A golf ball of diameter 1.68 inches rolls a distance of 4m in a straight line. How many times does the ball. completely? (1 inch = 2.54cm)
Answers
Answer: 29.9
Step-by-step explanation:
We know that
1 m = 100 cm
4 m = 400 cm
Circumference of ball
= 3.14 x
= 13.37 cm
400 / 13.37
What is coordinate L?
Answers
Answer:
(5,2)
Step-by-step explanation:
The x is 5, and y is 2.
Answer:
L: (5,2)
Step-by-step explanation:
Mr. Nguyen drove 34.8 miles in June, 357.09 miles in july and 468.4 miles August.
How many miles did Mr. Nguyen drive during the three month period?
Answers
Answer:
860.29 miles
Step-by-step explanation:
just add up the miles he drove in June, July, and August, and you'll get 860.29 miles
(3h + 4) -6(5-1.4h) what is the answer?
Answers
Answer:
11.4h - 26
Step-by-step explanation:
I used MathPapa
HURRY HELP NEEDED!!!!!!!!
Answers
Answer:
Step-by-step explanation:
number 4
Which expression is equivalent to -8(5m - 7.4)?
A -40m - 7.4
B. -40m + 59.2
C.-3m – 15.4
D. -3m + 0.6
Answers
Step-by-step explanation:
-8(5m - 7.4)
= -40m + 59.2
find what is x + 2½ = 10?
Answers
Answer:
10 its just 10 or smthing
Answer:
71/2
Step-by-step explanation:
7+2=9
1/2+1/2= 1
9+1=10
Work out (3.42 x 10^-7) divided by (7.5 x 10^-6)
Give your answer in standard form.
Answers
through (-6,4), slope:2
Answers
Answer:
y - 4 = 2(x + 6)
Step-by-step explanation:
Use the point-slope formula y - k = m(x - h):
y - 4 = 2(x + 6)
Can someone help
Please
Answers
Answer:
length× breadth = 20× 5 =100
Answer:100
Hope this helps you :)
please help
if x = 3 and y=-4 find x2 + y2 and x2 -y2
Answers
(3)2 + y2 = for x2 + y2
(3)2 - y2 = for x2 - y2
This would get you for both equations..
6 + y2 = for x2 + y2
6 - y2 = for x2 - y2
2. Now let’s plug in the value of y which is -4:
6 + (-4)2 = for x2 + y2
6 - (-4)2 = for x2 + y2
This would get you for both equations...
-2 = x2 + y2
14 = x2 - y2
Hope this helped, have an awesome day!
Plz help fast will mark brainliest
Answers
Answer:
The answer is 2.89 in 2dp
3 cube is 27
27 minus 6.8 is 20. 2
20. 2 decide by 7 is 2.89
Answer:
the answer would be 3
Step-by-step explanation:
Because 3 to the third power is 27 and 6 times 8 is 48 so you subtract 27 and 48 and you get 21 so you divided 21 and 7 and you get 3. sorry if that's confusing but I hope it helped.
Help show work pls for brisnly
Answers
Answer:
6
Step-by-step explanation:
Ok, so all we have to do is multiply 8 * 3/4, because each child needs 3/4 of the sandwich, and there are 8 of them. The easiest (My opinion) way to do this is by turning 8 into a fraction. Turning whole numbers into fractions is really simple, just slap a /1 under them to make them a fraction. And so, our fraction is 8/1. Now, all we have to do is multiply the top part of the fraction, and then the bottom part of the fraction. So, 8 * 3 = 24, and 1 * 4 = 4. So, just put 24/4 as an answer. But, wait! We have to simplify it! 24 divided by 4 is 6, so 6 is our final answer.
Write an equation in point-slope form for the line that passes through
each point with the given slope (-1,-2) m=3
Answers
Answer:
y+2=3(x+1)
Step-by-step explanation:
y-(-2)=3(x-(-1))
y+2=3(x+1)
help me please this is timed!!
Answers
Answer:
i think a
Step-by-step explanation:
Write the equation in slope intercept form x + 2y = 6
Answers
Answer:
y=-1/2x+3
Step-by-step explanation:
2y=6-x
y=-x/2+3
y=-1/2x+3
Answer:
y=-1/2(x)+3
Step-by-step explanation:
2y=-x+6
y = -1/2(x)+3
2(x+1.25)=3.5
Solve for X
Answers
Answer:
x= 1/2
Step-by-step explanation:
2(x+1.25)=3.5
(2)(x)+(2)(1.25)=3.5(Distribute)
2x+2.5=3.5 2x+2.5−2.5=3.5−2.5
2x=1 2x /2 = 1 /2
una cámara fotográfica tiene un precio 5200 sin iva ¿cuanto se pagará de iva 16%
Answers
Answer:
el tiempo es de 46% caracteres fotográficos ya que si el precio es de 5200 la mitad es 3890
the ratio of students to laptops in a school is 3:2 if there are 1,200 students, how many laptops are there?
Answers
Answer:
1200:800
Step-by-step explanation:
1200÷3=400
400×2=800
800 laptops
Answer:
800 Laptops
Step-by-step explanation:
3:2 = 1200:x
I first divide 1200 with 3 because that is the ratio of the students. WE can see that 1200/400 equals 3. So if I multiply 2 times 400, then we get 800 Laptops.
Find the perimeter of a square with a side length of 1.25 miles. The perimeter is
Answers
Answer:
Step-by-step explanation:
perimeter of a square + 4 x side
side = 1.25 miles
perimeter = 4 x 1.25
=5 miles
Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:
Color of Tile Purple Pink Orange
Number of times the tile is drawn 6 18 26
What is the experimental probability that Jenny will pull out a pink tile?
Answers
Answer:
Step-by-step explanation:
The experimental probability of choosing pink is
18/50
9/25
Answer:
The answer would be 18/50
Step-by-step explanation:
First part
Prob(Pink) = 18/50
Give me a diagram of a human body that you can find on the internet.
Do it quick!!!!
Answers
Answer:
I found a picture of a male human body diagram and a woman human body diagram. I attached both of the pictures to this answer because I am not sure which one you wanted.
Step-by-step explanation:
1. I searched up human body diagram
2. I found a male one and a female one
3. I attach them both to this answer
4. Voila here is my answer
ALGEBRA 1
1. Explain what the notation means. Explain what the letters f and x mean in this notation.
2. Provide the inputs and outputs of the function .
3. Explain how the graph of is obtained.
Use the following equation to answer the remaining questions.
4. Naming the function , write the function in function notation. Explain what the notation represents in this equation.
5. Provide the domain and range of the function. Explain how to obtain a graph of .
Answers
C
C.
Look at the structure of equation and find the value of x. Explain your
reasoning. *
5x + 3x = 5x + 18
Answers
Step-by-step-explanation:
5x + 3x = 5x + 18
5x + 3x - 5x = 18
3x = 18
x = 18/3
x = 6
Hope this helps
Blah blah blah I am in college and I need help
Answers
Answer:
C.
Step-by-step explanation:
I'm pretty sure it's C. because it makes the most sense when you read the expression because it fits.
Hope this helps you, have a wonderful day!