Triangle UML has coordinates U (-3, -4), M(-1, -1) , and L(-2, -5). If the triangle is translated 5 units up and 1 unit left to form triangle U’M’L’, what will be the coordinates of L’?
Answers
After the translation the coordinates of L' are (-3, 0) for the new triangle of U’M’L’.
What is defined as the translation?In geometry, translation refers to a function which moves an object a specified distance. The object is not elsewhere altered. It is not rotated, mirrored, or resized.Every location of the object should be moved within the same direction for the same distance during a translation.When performing a translation, this same initial object is referred to as the pre-image, and also the object just after translation is referred to as the image.The coordinates of triangle are-
U (-3, -4), M(-1, -1) , and L(-2, -5).
The triangle is translated 5 units up and 1 unit left to its original place.
Thus, for the 5 units up translation 5 units will get added to the y-coordinates.
New y-coordinate of L' is -5 + 5 = 0.
For 1 unit left , 1 units will get reduced from the original x-coordinate.
New x-coordinate = -2 - 1 = -3
Thus, the new coordinates L' becomes (-3, 0).
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Related Questions
Write out the sample space for the given experiment. Use the letter r to indicate red, g to indicate green, and b to indicate blue. A die shows 3 different colors on it. Give the sample space for the next 2 rolls.
Answers
The sample space for the given experiment is
{ (r,r) , (r,g) , (r,b)
(g,r) , (g,g) ,(g,b)
(b,r) , (b,g) , (b,b)}
What is Sample Space?A sample space is a set of potential results from a random experiment. Events are the subset of possible experiment results. An event is set of possible outcomes.
The die consists of 3 different colors namely red, green and blue
Here, the number of variables is 3 i.e red, green and blue.
The subset will contain
= [tex]2^{3}[/tex]
=8 elements.
The red color is indicated by 'r'
The green color is indicated by 'g'
The blue color is indicated by 'b'
The events that can appear in a single roll is r, b or g.
Sample space for the next 2 rolls
={ (r,r) , (r,g) , (r,b)
(g,r) , (g,g) ,(g,b)
(b,r) , (b,g) , (b,b)}
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a child puts $1.00 into a piggy bank. one week later, he puts $1.25 in the bank. two weeks later, he puts $1.50 in the bank, and so on. how much money does he put in the bank on the 25th week?
Answers
He puts 100$ in the bank on the 25th week.
What is a bank?An example of a financial institution that lends money is a bank, which both collects deposits from the public and creates demand deposits. Through the capital markets, the bank may engage in lending activities directly or indirectly.
Banks are heavily regulated in most countries because they are essential to the financial stability and economic health of a nation. The fractional reserve banking system, in which banks maintain liquid assets that are only partially comparable to their current liabilities, has been institutionalized in the majority of countries. In addition to other constraints intended to assure liquidity, banks are often subject to minimum capital requirements based on an international set of capital norms known as the Basel Accords.
Explanation:
First term([tex]a_{1}[/tex])= 1
Common difference= 1.25-1=0.25
[tex]a_{25}[/tex]=1+(25-1).25
=1+(24)(.25)
= 1+6
=7
[tex]S_{25}[/tex]=25/2 (1+7)
=25/2 (8)
=100
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reggie drew a scale drawing of a swimming pool. the scale of the drawing was 4 millimeters : 3 meters. the pool is 24 meters long in real life. how long is the pool in the drawing?
Answers
The pool that Reggie drew will be 24 millimeters long, compare to real life which is 24 meters long.
As we can't create a real-life dimension in a small sheet of paper, we opted for a small scale that covers up the large length. As we are given, the scale of the drawing is 4 millimeters: 3 meters, which means 1 millimeter is equal to 3/4 meters, and the size of the pool in real life is 24 meters.
So, the length of the pool in the drawing is = 24*(3/4)
= 24 millimeters
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√x-3 +3=x
is it extraneous or not?
Answers
Answer:
extraneous
Step-by-step explanation:
extraneous
What are the key features of the function below
NEED TO ANSWER ASAP
Answers
The function is positive on (-4, -3), and (-1, 4),
the function is negative on (-3, -1),
the function increases on (-2, 2), and
the function decreases on (-4, -2) and (2, 4).
The key features of the function given in the graph are:
Positive intervalsNegative intervalsIncreasing intervalsDecreasing intervalsPositive intervals:
Here we need to say at which intervals the value of the graph is positive.
That is at which intervals the graph is above the x-axis.
It is clear from the graph that the function is positive on (-4, -3), and (-1, 4)
Negative intervals:
Here we need to say at which intervals the value of the graph is negative.
That is at which intervals the graph is below the x-axis.
It is clear from the graph that the function is negative on (-3, -1).
Increasing intervals:
Here we need to say at which intervals the value of the function increases.
That is at which intervals the graph goes upwards when the value of the x increases.
It is clear from the graph that the function increases on (-2, 2).
Decreasing intervals:
Here we need to say at which intervals the value of the function decreases.
That is at which intervals the graph goes downwards when the value of the x increases.
It is clear from the graph that the function decreases on (-4, -2) and (2, 4).
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Meena drove 245 miles in 5 hours. if she continued at the same rate, how long would it take to travel 196 miles
Answers
Meena would take 4 hours to drive 196 miles.
We will begin with calculation of number of miles Meena drives in 1 hour. We need to perform division as per the formula given below to find the speed. Then we will calculate the time required for driving 196 miles.
So, formula stating rate or speed of driving -
Speed = distance ÷ time
Keep the values in formula to find the speed
Speed = 245 ÷ 5
Performing division
Speed = 49 miles per hour
So, Meena drives 49 miles in 1 hour.
For driving 196 miles, the time required = (1 ÷ 49) × 196
Performing multiplication and division
Time required = 4 hours
Hence, Meena will require 4 hours to drive 196 miles.
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Please answer the two question in the photo [ Brainliest + points ]
Answers
Answer:
i think there both obtuse
Rocky finished a 200-meter race in 5/12 of a minute. The winner of the race used of Rocky's time to finish the race. How much time did the winner use to finish the race?
Please answer this and I'll give 30 points!
Answers
I will solve up to what I can do.
the fraction 5/12 is equivalent to 25/60 (times it by 5). this would mean Rocky finished the race in 25 seconds. With that knowledge, you can get the fraction of the winner and find his seconds.
the sum of 3 and p divided by q ( its not 3+p/q apparently because thats wrong on my thing)
Answers
Answer:
[tex] \frac{3 + p}{q} [/tex]
Step-by-step explanation:
Because it says 3 and p then you divide both of them by q
Hope this helps!
If you have any questions ask!
You have to add 3 and p before dividing by q.
(3 + p)/q
Can someone please help with this
Answers
Answer:
a=57 degree
b = 24 degree
c = 39 degree
d = 60 degree
Step-by-step explanation:
angle a = YWX = YZX = 57
angle b = ZWY = ZXY = 24
angle c = WYX = WZX = 39
angle d = WYZ = WXZ = 60
What is the slope of the line that passes through the points (−4,−6) and (1,−6)?
Answers
how many significant digits are there in the number 2.25x10 using significant digits
Answers
Answer:
3
Step-by-step explanation:
2.25×10=22.5
If there is 0 in front of the number:eg(02.25) 0 does not count but it counts if it comes after nonzero digits.
what does X equal? 3/ax - 4 = 20
X=
Answers
Answer:
3/ax-4=20
first add 4 to both sides
3/ax=20+4
multiply by a/3
24a/3
so x=8a
Answer: 1/8a
Step-by-step explanation: add 4 to both sides first, which will give you 3/ax = 24. Now multiply both sides by ax/3 to get rid of the 3/ax, which will then give you 1 = 24 * ax/3, which equals to 1 = 24ax/3. This can be simplified further and you'll get 1 = 8ax. now divide both sides by 8a to isolate x, you will end up with 1/8a = x.
20. The population of a town increased from 60,450 to 95,610 in one decade. What was the
relative change of the population?
(a) 58.2% (b) 36.8% (c) 158.2% (d) -36.8%
Answers
A. 58.2%
this is because
(95610-60450)/60450 =0.5816377171215 which rounds to 0.582 which is 58.2%
Answer:
A
Step-by-step explanation:
Change in population/ original number
[tex]\frac{95610 - 60450}{60450}[/tex] = [tex]\frac{35160}{60450}[/tex] = .58163771712 This is the answer as a decimal. Multiple this by 100 to get 58.2% increase rounded to the nearest tenth of a percent.
The area of a square garden is 9 m2 . how long is each side of the garden
Answers
Answer:
A=9cm square
or,l square=9 cm square
or,l=3 cm.
Gary, the school chef, needs to make 40 tacos for every 15 students. How many tacos
would Gary need to prepare for 3 students?
Answers
Answer:
8 tacos
Step-by-step explanation:
40 tacos to 15 students
8 tacos to 3 students
15/3 =5, so divide 40 by 5 to get 8
sal's sandwich shop sells wraps and sandwiches as part of its lunch specials. the profit on every sandwich is $2, and the profit on every wrap is $3. sal made a profit of $1,470 from lunch specials last month. the equation 2x 3y
Answers
(1) y-intercept is 490 and the slope is -2/3.
(2) First, plot the point(0,490). Then utilize the slope (-2/3) to compute the direction and angle the line moves.
(3) The function's equation is f(x) = (-2/3)x + 490.The graph depicts how many wraps could have been sold for each amount of sandwich sales in order to keep the same $1,470 revenue.
(4) The graph of the function is attached below.
(5) The profits have the same slope, but the y-intercept is greater than that of the previous month.
(6) The equation is y = (-2/3)x + 300.
(1) 2x + 3y = 14703y = -2x + 1470y = (-2/3)x + 490y = mx + cHence, the y-intercept is 490 and the slope is -2/3.(2) First, plot the point (0,490) and then utilize the slope -2/3 to compute the direction and angle the line moves.(3) The function's equation is f(x) = (-2/3)x + 490.The graph depicts how many wraps could have been sold for each amount of sandwich sales in order to keep the same $1,470 revenue.(4) The graph of the function is attached below.(5) 2x + 3y = 15933y = -2x + 1593y = (-2/3)x + 531y = mx + cThe profits have the same slope, but the y-intercept is greater than that of the previous month.(6) y-intercept is 300.slope = (0 - 300)/(450 - 0)slope = -2/3The equation is y = (-2/3)x + 300.To learn more about slope, visit :
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Subtract the algebric expression 4a - 3ab + 1 from 6a - 5ab - 9b + 8.
Answers
Answer: 2a-2ab+7
Step-by-step explanation:
6a-5ab+8-(4a-3ab+1)=
6a-5ab+8-4a+3ab-1=
2a-2ab+7
Answer:
2a - 2ab - 9b + 7
Step-by-step explanation:
The step here is to collect the like terms available like this;
6a - 5ab - 9b + 8
- 4a - 3ab - 0 + 1
which is = 2a - 2ab - 9b + 7
I need help asap!! (Geometry)
Answers
Answer:
Below
Step-by-step explanation:
Flower bed A
C = 2πr
C = 2π(5)
C = 2(5)π
C= 10π
A= πr²
A= π(5)²
A= π25
A= 25π
____________________________________________________
Flower bed B
C = 2πr
C = 2π(6)
C = 2(6)π
C = 12π
A = πr²
A = π(6)²
A = π36
A = 36π
How to solve this????
Answers
Answer:
3 x 2 5/6 y 7/6 x 8/3
^3 x
Step-by-step explanation:
simplify (-1 + 6i) + (5 - 2i) - (8i)
Answers
-1 + 6i +5 -2i - (8i)
-1 + 6i + 5 -2i =8i
4+6i-2i-8i
4+4i-8i
4-4i
4-4i is ur answer, i hope this helps u!
What is the answer to this problem?
Answers
Answer:
8
Step-by-step explanation:
Given: x=2
Then,
5x-2 = 5(2)-2
= 10-2
=8
what is the value of 125 ⅔ ?
Answers
Answer:125.666
Step-by-step explanation:
Find f(4)
if f(x) = -2x² + 4
Answers
====================================================
Work Shown:
[tex]f(\text{x}) = -2\text{x}^2+4\\\\f(4) = -2(4)^2+4\\\\f(4) = -2(16)+4\\\\f(4) = -32+4\\\\f(4) = -28\\\\[/tex]
Explanation:
Replace every x with 4. Then use the order of operations PEMDAS to simplify to a single number.
Sove for x: 3 - (2x - 5) < - 4(X + 2)
Answers
Inequality Form:
x<−8
Interval Notation:
(−∞,−8)
Simplify
3−(2x−5),
−2x+8<−4(x2)
Simplify −4(x+2).
−2x+8−4x−8
Move all terms containing x to the left side of the inequality.
2x+8<−8
Move all terms not containing x to the right side of the inequality.
2x<−16
Divide each term in 2x<−16by 2 and simplify.
x<−8
The result can be shown in multiple forms.
Inequality Form:
x<−8
Interval Notation:
(−∞,−8)
What is inequality form ?
The notation a ≠ b means that a is not equal to b; this inequation sometimes is considered a form of strict inequality. It does not say that one is greater than the other; it does not even require a and b to be member of an ordered set.
What is interval notation?
Interval notation is a way to describe continuous sets of real numbers by the numbers that bound them. Intervals, when written, look somewhat like ordered pairs. However, they are not meant to denote a specific point. Rather, they are meant to be a shorthand way to write an inequality or system of inequalities.
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Please find the slope
Answers
2. Slope: 0 Y- intercept (0,-3)
3.Slope: -6 Y- intercept (0, 2/5)
4. Slope: -2/5 Y- intercept (0,-4)
5.Slope: 0 Y- intercept (0,0)
April received a $75 gift card to the book store. she wants to purchase some books that cost $9 each. she also found a movie that cost $12. how many books (b) can she buy?
Answers
Answer:
Step-by-step explanation:
$75 gift card
$12 for movie
$9 for book
$75 - $12 = $63
$63 divided by $9 = 7
So she can by 7 books
Select all of the equations that represent linear relationships.
5+2y=13
y=1x²³+7
y-5=2(x-1)
=x+7
x=-4
Answers
A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.
(1). 5+2y= 13
2y=13-5
2y= 8
y=4.
So this is the form of mx+b
Where b=4 and x=0.
(2). y = x²³+7
It is the form of mx+b .
where mx = x²³ and x=7
(3). y-5= 2(x-1)
y-5 = 2x-2
y=2x-2+5
y=2x+3
It is completely the form of mx+b .
where m= 2 and b = 3.
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Hi please help and show how you got to your answer! Thank you
Answers
Answer: PQ=15
Step-by-step explanation:
XY=(PQ+SR)/2
PQ+SR=2*XY
PQ+35=2*25
PQ+35=50
PQ=15
What is 2x - 4/2 = 11
Answers
Answer: 13/2
Step-by-step explanation: