The vertices of parallelogram DEFG are E(-1,4) F(5,6) and G (8,0). Find the coordinates of D
Answer:
The coordinates of D are (2,-2)
Step-by-step explanation:
The coordinates of point D are (2,-2)
The coordinates of the parallelogram are given as:
E(-1,4), F(5,6) and G (8,0)
For the coordinates to represent a parallelogram, the following must be true
[tex]x_D - x_E = x_G - x_F[/tex]
[tex]y_D - y_E = y_G - y_F[/tex]
So, the equations become
[tex]x_D -(-1) =8-5[/tex] and
[tex]y_D -4 =0-6[/tex]
Solve for x and y in the above equations
[tex]x_D -(-1) =8-5[/tex]
[tex]x_D +1 = 3[/tex]
[tex]x_D = 3-1[/tex]
[tex]x_D = 2[/tex]
[tex]y_D -4 =0-6[/tex]
[tex]y_D - 4 = -6[/tex]
[tex]y_D = 4-6[/tex]
[tex]y_D =-2[/tex]
Hence, the coordinates of point D are (2,-2)
Read more about parallelograms at:
https://brainly.com/question/11874218
what is 8.154 to 1 decimal place?
Answer fast!!!!!!!!!!!!!!
Help please ASAP rn
Answer, population: 359 million
Answer:
Step-by-step explanation:
It went up 98 ten-tousandth, from 1950 to 1990 divide 2030, by 1990 and then multiply that answer by 98 ten-tousandth
The perimeter of a rectangle is 260 yards. The length is 30 yards greater than the width. Find the dimensions of the rectangle.
Answer:
width: 50 yards
length: 80 yards
Step-by-step explanation:
I would write an equation to start
x = width
260 = 2x + 2(x + 30)
260 = 4x + 60
200 = 4x
x = 50
Width = 50 yards
Length = width + 30
Length = 50 + 30
Length = 80 yards
Another submarine's descent can be represented as `y=-240x`, where u is the elevation and x is time in hours. How long will it take this submarine to make the descent (2,100 feet below the surface)?
Answer:
The time it will take is 8hours 45mins.
Step-by-step explanation:
Since y = –240x represents a submarine descent. We are looking for how long, that is the time, it will take for the submarine to make a descent of 2100. We know that y is the elevation, if it is descending it will be in the negative direction, making it -ve.
A descent of 2100 means y = –2100. Hence,
–2100 = –240x
x = –2100/–240 = 8.75hours = 8hours 45minutes. (0.75hours = 3/4hours = 3/4 x 60mins = 45mins).
Equation
Number of Solutions
6(2.1 + 1) - 2 = 12.1 + 4
How many solutions does it have?
525 metres in 30 minutes
Answer:
what you want to know...
Step-by-step explanation:
please write complete question.....
So,I can understand it
Please help if you can, thanks
Answer:
what does the picture say
The vertex of the graph of g(x) = 3|x| + 4 is
On the first day of ticket sales the school sold 8 senior citizen tickets and 1 child ticket for a total of $97. The school took in $102 on the second day by selling 6 senior citizen tickets and 4 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
Answer:
A senior citizen ticket costs $11, and a child ticket costs $9.
Step-by-step explanation:
Let s = price of 1 senior citizen ticket, and let c = price of 1 child ticket.
First day:
8s + c = 97
Second day:
6s + 4c = 102
We have a system of 2 equations in 2 unknowns.
8s + c = 97
6s + 4c = 102
We will use the addition method to solve the system.
Multiply both sides of the first equation by -4. Write the second equation below it and add the equations.
-32s - 4c = -388
(+) 6s + 4c = 102
----------------------------
-26s = -286
Divide both sides by -26.
s = 11
Now substitute s with 11 in the first original equation and solve for c.
8s + c = 97
8(11) + c = 97
88 + c = 97
Subtract 88 from both sides.
c = 9
Answer: A senior citizen ticket costs $11, and a child ticket costs $9.
Answer fast!!!!!!!!!
Answer:
$0.52 = 0.52
Step-by-step explanation:
I think so.....
Savings Accounts
Alyssa starts with $30 and saves $5 each week. Bill has $16 and saves $7 each
week. At what week will Alyssa and Bill have the same amount of money?
Answer:
7 weeks
Step-by-step explanation:
Given data
Alyssa starts with $30 and saves $5 each week
let the number of weeks be x
y= 30+5x----------1
Bill has $16 and saves $7 each
week.
y= 16+7x----------------2
equate 1 and 2
30+5x= 16+7x
30-16= 7x-5x
14= 2x
x= 14/2
x= 7 weeks
Find the perimeter of this parallelogram:
8.2 cm
6.5 cm
Find the perimeter of this triangle:
7.3cm
6.1cm
9.6cm
Answer:
parallelogram 's perimeter =2(8.2+6.5)
""" =2×14.7
... = 29.4
perimeter of triangle=7.2+6.1+9.6
""""" =22.9
Similar polygons have corresponding sides that are proportional and corresponding angles that are -
A congruent
B parallel
C similar
D proportional
Find a ratio for the tangent of 32
Answer:tan c
Step-by-step explanation:
114.3 is what percent of 288? Round to the nearest hundredth. Please don’t get this wrong.
Answer:
39.69%
Step-by-step explanation:
Hope this helps!!
if you know what’s going on pls help thanksss
basically u are representing the graphs below in symbols and words if that makes any sence
Answer:
1. > less than
2. =< (I can't find the symbol for this but a line should be under the < and thats it) Greater than or equal to
3. < greater than
4. >= less than or equal to
What is the slope of the line whose equation is -2y = -3x + 5?
Answer:
[tex]m = \frac{3}{2}[/tex]
Step-by-step explanation:
Use the slope-intercept form y = mx + b to find the slope m.
In this way, we can conclude that we can write it in slope-intercept form, y = mx + b:
[tex]y = \frac{3}{2} x - \frac{5}{2}[/tex]
Your correct answer would be:
[tex]y = \frac{3}{2} x - \frac{5}{2}[/tex]
Have a marvelous day.
Rick has $8x and Helen has twice that amount. They save $3 each per week.
What amount will be the sum of their money 4 weeks from now?
Answer:(24x - 22)
Step-by-step explanation:
(24x - ww)
The price of a technology stock was 9.57 yesterday. Today, the price rose to 9.66 . Find the percentage increase. Round your answer to the nearest tenth of a percent
ILL GIVE BRAINLIESAT FOR FIRST ANSWER!
Divide
3÷1/12
Step-by-step explanation:
is 36 hello my name is santiago i am fron Colombia
1/3 x 2/3, Please help me with this, I am struggling.
Answer:
2/9
Step-by-step explanation:
i search it up
I need help:(
Find x and y
Please let me know if my answer is right! Thanks!
the table shows a summary of the number of spots counted on 20 ladybug calculate the mean number of spots per lady bug
Answer:
bcbdjdsjxbxifjfbdbdbbxbxhxhdhdhbdbdbxbxbxbxbbxnxnxnxx
Rename 2/3 and 4/5 so they have common denominators.
Answer:
2/3 multiply by 5 to get 10/15
4/5 mulitply by 3 to get 12/15
Step-by-step explanation:
Answer:
i mean wouldn't it be more like 2,3,4 2 , 3 , 4 is 2⋅2⋅3=12 2 ⋅ 2 ⋅ 3 = 12 ..
Step-by-step explanation:
Keelin’s hourly rate went from $9.50 per hour to $10.26 per hour. What is the percent increase?
Answer:
8%
Step-by-step explanation:
6. In a vegetable store, a customer paid $8.80
for 3 pounds of tomatoes and 5 pounds of
potatoes. A second customer paid $15.15
for 7 pounds of tomatoes and 6 pounds of
potatoes. What is the positive difference in the
price per pound of tomatoes and potatoes?
Please answer the correctly in the picture below 8TH GRADE MATHENMATICS?!
Answer:
B 3.5
Step-by-step explanation:
Hope it Helps!
MANUFACTURING. The number of cars built varies
directly as the number of hours the production line
operates. What is the ratio of cars built to hours of
production? At this rate, how many cars can they
build in 5 hours?
Answer:
60 cars per hour
Step-by-step explanation: