Quadrilateral ABCD is translated 2 units left and 3 units up to form quadrilateral A'B'C'D'
What are the coordinates of the vertices of the new figure?
A)
A' (-3, 0)
B' (-3, 3)
C' (0, 2)
D' (0.5, 0)
B)
A' (-8, 5)
B' (-8, 8)
C' (-5, 7)
D' (-4.5, 5)
C)
A' (5, -8)
B' (8, -8)
C' (-5, 7)
D' (5, -4.5)
D)
A' (-3, 5)
B' (-3, 8)
C' (-6, 7)
D' (-5.5, 5)
Answers
B)
A' (-8, 5)
B' (-8, 8)
C' (-5, 7)
D' (-4.5, 5)
The coordinates of the vertices of the new figure A'B'C'D' are A'(-8, 5), B' (-8, 8), C' (-5, 7), and D' (5, -4.5).
The coordinates of the vertices of quadrilateral ABCD are A(-6, 2), B(-6, 5), C(-3, 4), and D(-2.5, 2).
To translate the quadrilateral 2 units left and 3 units up, we subtract 2 from the x-coordinates
and add 3 to the y-coordinates of each vertex.
Therefore, the coordinates of the vertices of quadrilateral A'B'C'D' are A'(-8, 5), B' (-8, 8), C' (-5, 7), and D' (5, -4.5).
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Related Questions
Which line in the graph contains the point (4,3) and has a slope of 2/5?
A.) Line s
B.) Line t
C.) Line r
D.) Line p
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What is the solution of the system? y = -8x - 2 and y = -6x + 4
A. (-3, 22)
B. (-8/3, 1/22)
C. (-14/3, 6/22)
D. (3/14, - 6/14)
Answers
Equation 2: y = - 6x + 4
Equation both equations, we get:
- 8x - 2= - 6x + 4
-8x + 6x = 4 + 2
-2x = 6
x = -3
Using the value of x in first equation, we get:
y= -8(-3) - 2 = 24 - 2 = 22
So, the solution to the given equations is (-3, 22)
So, the answer is option A
Please help I’m stuck
Answers
I hope this helps. If it does, please rate as Brainliest
Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly travel in 24 hours if it continues to fly at the same speed? (look at the image below)
The dependent variable is distance, the equation is x = 20y, and the dragonfly will travel 360 miles.
The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.
The dependent variable is time, the equation is x = 20y, and the dragonfly will travel 360 miles.
The dependent variable is time, the equation is y = 20x, and the dragonfly will travel 480 miles.
Answers
so
y = 20x
y = distance (miles) and x = time (hours)
so if x = 24 then y = 20x = 20(24) = 480
answer
The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.
Answer:
The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.Step-by-step explanation:
According to the graph, the dependent variable is Distance in miles, because it's on the vertical axis. Additionally, the independent variable is time in hours, because it's on the horizontal axis. However, you always put time as independent, because nothing affects time.
To find the equation, we just need to find the slope, using two points (0,0) and (2,40).
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{40-0}{2-0}=20[/tex]
Therefore, the equation is [tex]y=20x[/tex], which shows a direct proportion between variables.
Now, in 24 hours, it would travel
[tex]y=20(24)=480[/tex]
It would travel 480 miles.
Therefore, the right answer is the second choice.
a traffic light on a busy north-south street is programmed according to this pattern: green for 4 minutes followed by red for 2 minutes. mr gomez goes through this intersection on his way to an from work everyday. last week, he kept a record of the number of times it was green as he approached the intersection and the number of times he had to stop because the light was res. his record is as follows green green red green green green green green green green, what is the therorerical probability that the light will be green each time mr gonez approaches the intersection
Answers
The theoretical probability is the expected amount of times that the light would be green. The light is green for 4 minutes and red for 2 minutes for each series. That means 4 out of the total 6 minutes are green.
4/6 = 2/3
Sandra has four color cards: one blue, one red, one green, and one yellow. If she puts them in a box, in how many different orders could she draw them out?
A. 16
B. 24
C. 32
D. 64
Answers
a rectangular box has a volume of 105 cubic centimeter the width of the rectangular box is X centimeters the length is 2x - 3 cm and the height is 3 cm
Answers
105 = 3x(2x - 3)
105 = 6x² - 9x
6x² - 9x - 105 = 0
2x² - 3x - 35 = 0
(x - 5)(2x + 7) = 0
x = 5 0r x = -7/2 (rejected, because it is negative)
Answer: x = 5
Which number has the greatest value?
Answers
A research company produced a study to find out what percentage of people in the state of Mississippi would purchase a new product being developed. Out of the 24 participants polled, 12 stated that they would buy the new product. The research company concluded that about 50% of the residents of Mississippi would purchase the new product. Identify a problem with the study.
Answers
The conclusion is based on a small sample.
Gracie uses 10 beads on each necklace she makes. She has 60 beads to use. How many necklaces can Gracie make?
Answers
60 divided 10 = 6
Hope this helps lol
What is the measure of X
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Answer:
we can know the answer by using phorem therom so
Step-by-step explanation:
all are 90 degree so x angle will also be 90 degree
now h^2 =p^2+b^2 so
What is the angle of this triangle
Answers
[tex]\text{Area = } \dfrac{1}{2} \text{(12)(8)} \sin(\text{65}\textdegree)[/tex]
[tex]\text{Area = }43.5 \text{ cm}^2[/tex]
Find M angle P
The diagram is not a scale
Answers
What is the area of the shaded region to the nearest tenth of a foot?
Part a) Explain what formulas you will use to find the area of the shaded area.
Par b) Explain how you find the area of the shaded region. What was your thought process?
Answers
Area of rectangle = length*width
Area of circle = (π/4)*diameter²
b) The figure shows the width of the rectangle is 14 ft, the same as the diameter of the circle. The length of the rectangle is shows as 21 ft. The shaded area is the difference ...
Shaded Area = Area of rectangle - Area of circle
Shaded Area = (21 ft)*(14 ft) - (π/4)*(14 ft)²
Evaluating this expression, we have
Shaded Area ≈ 294 ft² - 153.9 ft² = 140.1 ft²
what is 88.6 times 5.01
Answers
What are the answers to problem one and to WILL GIVE BRAINLEST AND SHOW YOUR WORK
Answers
4 * $4.89= $19.56
Please help on these!
Answers
Area = 1/2 x 14 x 5 = 35 unit²
Answer: 35 unit²
Area of the rectangle = length x width
Area of the triangle = 1/2 x base x height
Area = (13 x 8) + (1/2 x 6 x 8) = 104 + 24 = 128 in²
Answer: 128 in²
[tex]A=\dfrac{14\cdot5}{2}=\dfrac{70}{2}=35[/tex]
2. Look at the picture.
[tex]A_I=8\cdot13=104\ in^2\\\\h=19-13=6\ in\\\\A_{II}=\dfrac{8\cdot6}{2}=\dfrac{48}{2}=24\ in^2\\\\A=104+24=128\ in^2[/tex]
8, 15, 14, 9, 1, 6, 3
What number would come next in the sequence above, 4, 7, 10, or 12? Explain your answer.
Answers
The next number in the sequence will be 12.
Explanation
The given sequence is: 8, 15, 14, 9, 1, 6, 3
If we express these numbers in words, then we can see that the words are in alphabetical order, like....
Eight, Fifteen, Fourteen, Nine, One, Six, Three
There are two numbers 10 and 12 in the options which starts with letter 'T' , but alphabetically 'Twelve' will be the next number after 'Three'
So, the next number in the sequence will be 12.
Food express is running a special promotion in which customers can win a free gallon of milk with their food purchase if there is a star on the receipt so far 147 of the first 156 customers have not received a star in the receipts what is experimental probability of winning a free gallon of milk
Answers
P(nw) = no wins / total
no wins = 147
Total = 156
Calculation for no wins
P(nw) = 147 / 156 = 0.9423
Calculation for winners.
P(w) = 1 - 0.9423
P(w) = 0.05769
Another way.
You could calculate the winners from the total
156 - 147 = 9
P(w) = 9/156 = 0.05769 Same answer as before. Pick the method you like best.
stuck on question x/-4 -5=4
Answers
*-4 *-4 *-4
x+20=-16
x=-36
How is the expression (5 + y) ⋅8 described by its factors and terms?
It has two factors and the factor (5 + y) has one term.
It has three factors and the factor (5 + y) has one term.
It has three factors and the factor (5 + y) has two terms.
It has two factors and the factor (5 + y) has two terms.
Answers
The factors are the two things that are multiplied together to make the expression. In this expression, (5+y) and 8 are multiplied, so these are the two factors.
The factor (5+y) has two terms, 5 and y.
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Question: Kara and Steven are biking around a 1,800 kilometer path. They start biking from the same place, at the same time, and in the same direction. Kara bikes at a speed of 15 km/h and Steven bikes at a speed of 30 km/h. How long will it take before Steven and Kara will be at the same place of the path next time?
Answers
============================================================
Explanation:
The path is 1800 km. Kara's speed is 15 km/h. If this speed is held the same throughout the path, then it will take her d/r = 1800/15 = 120 hours to travel the entire path until she gets back to her starting point.
For Steven, it takes him d/r = 1800/30 = 60 hours to make the same journey.
The LCM of 60 and 120 is 120
Every 120 hours, both Kara and Steven will be back at the starting point together.
Note: this is a very very large time value, and this is not considering the fact that the bikers slow down or stop to take a break.
Need help on this question
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It has two right angles, the other letters do not have at least one right angle
Can someone HELP ME DO THIS??
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43.00+8.60 = 51.60
Tip= 20%
Total= Meal + (Meal * 20%)
= $43 + ($43 * 20%)
convert % to decimal (20% ÷ 100 or simply move decimal 2 places left)
= 43 + (43 * 0.20)
multiply inside parentheses
= 43 + 8.60
= $51.60 total
ANSWER: The total, including a 20% tip, is $51.60.
Hope this helps! :)
how to draw a model to show 5.5 divided by 5
Answers
Answer:
1.1
Step-by-step explanation:
It takes a ship 3 hours to cover 72 km with the current and 4 hours against the current. Find the speed of the ship in still water and the speed of the current.
Answers
a- speed of current
(x+a)- speed with current
(x-a) - speed against current
(x+a)*3=72
(x-a)*4=72
x+a=24
+ x-a=18
2x =42
x = 21
x+a=24, 21+a=24, a=3
The speed of the ship in still water = 21 km/h,
the speed of the current =3 km/h.
Answer:
ship = 21 km/h,
current =3 km/h.
Step-by-step explanation:
What is the volume of a 8 by 4.5 by 3.5 prism
Answers
Hope this was helpful
What is the answer to this question?
Answers
Write an equation for a line g(x) perpendicular to f(x) = 4x − 5 and passing through the point (4, 20). plz.....
Answers
Now we need to find the equation of a line that has slope -1/4 and passes through the point (4, 20).
We use the point-slope form of the equation of a line, where m = slope, and the point is (x1, y1).
y - y1 = m(x - x1)
y - 20 = -1/4(x - 4)
-4y + 80 = x - 4
x + 4y = 84
Final answer:
The equation for the perpendicular line g(x) is g(x) = (-1/4)x + 21, found by using the negative reciprocal of the original slope and the point-slope form of a line.
Explanation:
To find the equation for a line g(x) that is perpendicular to f(x) = 4x - 5 and passes through the point (4, 20), we need to determine the slope of the perpendicular line and then use the point to find the specific equation.
Since the slope of the line represented by f(x) is 4, the slope of any line perpendicular to it will be the negative reciprocal, which is -1/4.
Now, we can use the point-slope form of a line equation, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point the line passes through.
Substituting the given point and the slope into the point-slope form, we get:
y - 20 = (-1/4)(x - 4)
Expanding this we have:
y - 20 = (-1/4)x + 1
Adding 20 to both sides to solve for y gives us the final equation of line g(x):
g(x) = (-1/4)x + 21
What is eight and nineteen thousandths in decimal form
Answers
Hope this helps!
Decimal form of eight and nineteen thousandths is 8.019.
Eight and nineteen thousandths in decimal form is written as 8.019.
To represent this in decimal form, we can think of the place value chart: 8 (whole number part), 0 (tenth place), 1 (hundredth place), and 9 (thousandth place).
Therefore, 8.019 is the decimal form of eight and nineteen thousandths.