Answers
Answer:
The correct options are presented as follows;
ΔABC is reflected across the y-axis to become ΔA'B'C' is rotated 90° counterclockwise about the origin to become ΔA''B''C''. Because the transformations are rigid transformations the preimage and image are congruent
Step-by-step explanation:
The coordinate of the preimage point A = (-2, 1)
The coordinate of the image point A' = (2, 1)
Similar for points B(-5, -2) and B'(5, -2), C(-3, -4) and C'(3, -4)
Which is equivalent to a reflection across the y-axis
Similarly, we have;
The coordinate of the preimage point A' = (2, 1)
The coordinate of the image point A'' = (-1, 2)
Which is equivalent to rotation of 90° counterclockwise which involves transforming a preimage (x, y) to an image (-y, x)
Similar for points B and B', C and C'
Therefore, because the reflection transformation, and the rotation transformation, are rigid transformation, the figures of the preimage and the image are congruent
Therefore, we have;
ΔABC is reflected across the y-axis to become ΔA'B'C' is rotated 90° counterclockwise about the origin to become ΔA''B''C''. Because the transformations are rigid transformations the preimage and image are congruent.
Related Questions
A car uses 8.4 liters of petrol for a 112 mile journey. When the tank is full, the car holds 54 liters of petrol. How far should the car be able to travel on a full tank of petrol.
Answers
Answer:
720 miles
Step-by-step explanation:
A car uses 8.4 liters of petrol for a 112 mile journey.
In 1 litres = [tex]\dfrac{112}{8.4}\ \text{miles}[/tex] of journey
We need to find far should the car be able to travel on a full tank of petrol i.e. 54 litres of petrol.
[tex]54\ l=\dfrac{112}{8.4}\times 54\\\\=720\ \text{miles}[/tex]
So, the car can travel 720 miles when it holds 54 lirres of petrol.
Jaime purchased both a trumpet and a violin for the same amount of money for his music store where he sells used instruments. He marked the trumpet up 40% and sold it for $84. He marked the violin up 45% and sold it to a customer who had a coupon for 15% off any instrument. How much did the customer pay for the violin?
Answers
Answer:
12
i think this correct answer
Hey, can someone help me with my math homework?
Answers
aqueell ears hanan pus
To convert 36 mL to L, you would move the decimal point ____ places to the ____.
Answers
Answer:
3
left
Step-by-step explanation:
1000/36=0.036
hope this helps
At a football stadium, 4% of the fans in attendance were teenagers. If there were 120 teenagers at the football stadium, what was the total number of people at the stadium?
Answers
Answer:
3000 people
Step-by-step explanation:
4% teenagers --> 120 teenagers were there
120/4 means 1% so 30 is 1%
1% times 100 is 100% so 30 times 100 equals 100% so 3000 is 100% of the people at the stadium
120/1= 120*25= 3000
.04*3000= 120
3000 people in total
What is the distance between the
two points
(7.8)
{3,2)
Answers
To find the exact difference, we have to subtract the two decimal points.
1. First, we'll subtract the whole number. Then, we'll subtract the decimal number. This will make mental math easier.
a. 7 - 3 = 4
b. 8 - 2 = 6
2. Add the answers together to get your final answer.
a. = 4.6
The exact distance between the two points is 4.6. If you can't figure this strategy out, do algorithm. The simplist way to solve this is to use a calculator, which I checked my answer on. Have a nice day! :)
Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?
Answers
Answer:
the answer is 6x or by and ax6x 9x
Step-by-step explanation:
Help? Please I’m desperate
Answers
Answer:
its called a calculator division and multiplication
Step-by-step explanation:
Is 23 x 10^8 written in scientific notation
Answers
Answer:
yes,it is written in scientific notation.
Yes, the given number is written in scientific notation.
What is scientific notation?
A method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy.
Yes, 23 x 10^8 is showing a specified degree of accuracy.
Therefore, it is written in scientific notation.
For more references on scientific notation, click;
https://brainly.com/question/18073768
#SPJ1
the 15% tip on craig's lunch bill came to $2.40 what was the amount of bill before the tip? show workouts
Answers
Remember to write the percent as a decimal for the calculations
Think of the tip as the question 2.40 is 15% of what number?
2.40/x = 15/100
Multiply both sides by x
2.40 = 15x/100
2.40 = 0.15x
So the tip 2.40 = 0.15x
Divide both sides 0.15 to solve for x
And that makes the cost before the tip 2.40/0.15 = 16.00
$16.00
The total bill for his lunch would be the cost before the tip plus the tip
We can calculate the final bill as $16.00 + $2.40 = $18.40
What is the equation of the línea perpendicular to y= -3x + 3/5 that Goes through point (-2, 3 )
Answers
Answer:
y=1/3x+11/3
Step-by-step explanation:
y=mx+b
y=1/3x+b
3=1/3(-2)+b
3 = -2/3+b
+2/3 +2/3
11/3=b
So the equation of the line that perpendicular to y= -3x + 3/5 that Goes through point (-2, 3 ) is y=1/3x+11/3.
What is the value of a?
Answers
Step-by-step explanation:
The value of a is 3 million points
Answer:
What is the question, so we can help you.
Step-by-step explanation:
Daikwon and Chris are about to record a new CD. They have a choice between two back up bands. One band charges $50 plus $20 for each take. The second band charges S20 plus $25 for each take.
Answers
Answer:
The second band
Step-by-step explanation:
50+20=70
20+25=45
If three coins are tossed, how many outcomes are favourable to getting 1 head a 2 tails. Present the answer as a fraction.
Answers
Answer:
There are 8 possible outcomes
h h h
t t t
h t h
t h h
h h t
h t t
t t h
t h t
One head and 2 tails occurs in the sixth, seventh and eighth rows.
So, the probability is 3 out of 8 or 3/8 or .375
Step-by-step explanation:
pls help with this one -4 divided by - 2/3
Answers
Answer:
6
Step-by-step explanation:
what you do is because you are dividing -4 by -2/3 you have to flip -2/3 to make it -3/2..
so ...
-4/ -2/3 = -4 x -3/2 ( so here you take -2/3 and flip it and multiply by -4)
now all you do is multiply
12/2 you get 6 ! HOPE this helped out alittle
Considere la siguiente ecuación: 16a – ( 3a – (6 – 9a) ) = 30a + ( – (3a + 2) – (a + 3) ) III) Al romper paréntesis, agrupar términos semejantes y simplificar. La ecuación queda:
Answers
Answer:
La ecuación simplificada es [tex]a = \frac{11}{19}[/tex].
Step-by-step explanation:
Tenemos la siguiente ecuación simultánea: [tex]16\cdot a - [3\cdot a - (6-9\cdot a)] = 30\cdot a +[-(3\cdot a+2)-(a+3)][/tex]. El procedimiento consiste en destruir los paréntesis desde dentro hacia fuera, agrupar los términos semejantes y simplificar. Presentamos el proceso paso por paso:
1) [tex]16\cdot a - [3\cdot a - (6-9\cdot a)] = 30\cdot a +[-(3\cdot a+2)-(a+3)][/tex] Dado
2) [tex]16\cdot a -\{3\cdot a + (-1)\cdot [6+(-1)\cdot 9\cdot a]\} = 30\cdot a +\{(-1)\cdot (3\cdot a +2)+(-1)\cdot (a+3)\}[/tex] [tex]-b = (-1)\cdot b[/tex]
3) [tex]16\cdot a -\{[(-1)\cdot (6)+(-1)\cdot (-1)\cdot 9\cdot a]\}= 30\cdot a +\{\left[(-1)\cdot (3\cdot a) + (-1)\cdot (2)\right] +[(-1)\cdot a +(-1)\cdot (3)] \}[/tex] Propiedad distributiva
4) [tex]16\cdot a -(-6+9\cdot a) = 30\cdot a +(-3\cdot a -2-a-3)[/tex] [tex]-b = (-1)\cdot b[/tex]/ [tex](-b)\cdot (-c) = b\cdot c[/tex]
5) [tex]16\cdot a +(-1)\cdot (-6+9\cdot a) = 30\cdot a -4\cdot a-5[/tex] Propiedad distributiva/Definiciones de adición y sustracción/[tex]-b = (-1)\cdot b[/tex]
6) [tex]16\cdot a +[(-1)\cdot (-6)+(-1)\cdot (9\cdot a)] = 26\cdot a -5[/tex] Propiedad distributiva/Definiciones de adición y sustracción/Propiedad modulativa.
7) [tex]16\cdot a +6-9\cdot a = 26\cdot a - 5[/tex] [tex]-b = (-1)\cdot b[/tex]/ [tex](-b)\cdot (-c) = b\cdot c[/tex]
8) [tex]7\cdot a +6 = 26\cdot a - 5[/tex] Propiedad distributiva/Definiciones de adición y sustracción.
9) [tex]6+5 = 26\cdot a -7\cdot a[/tex] Compatibilidad con la adición/Definición de sustracción.
10) [tex]11 = 19\cdot a[/tex] Propiedad distributiva/Definiciones de adición y sustracción.
11) [tex]19\cdot a = 11[/tex] Simetría de la igualdad.
12) [tex]a = \frac{11}{19}[/tex] Compatibilidad con la multiplicación/Existencia del inverso multiplicativo/Propiedad modulativa/Definición de división/Resultado.
La ecuación simplificada es [tex]a = \frac{11}{19}[/tex].
Solve the function below for y when x=12.
y=−3x+20
Answers
Answer:
y = -16
Step-by-step explanation:
y = -3(12) + 20
y = -36 + 20
y = -16
Hope this helps and pls do mark me brainliest if you can:)
Please help me I am doing a timed test I will choose brainliest
Write the standard form of the equation of a line with a slope of 2 passing through the point (-4, -3).
Select one:
a. 2x - y + 5 = 0
b. -x + 2y + 2 = 0
c. x - 2y - 2 = 0
d. -2x + y - 5 = 0
Answers
Step 1: We need to determine b by using slope-intercept form, the given slope, and the given line.
[tex]-3 = 2(-4) + b\\\\-3 = -8 + b\\\\5 = b[/tex]
Step 2: Now we create the slope-intercept form for the line.
[tex]y = 2x + 5[/tex]
Step 3: We can now change the above equation to standard form.
[tex]y = 2x + 5\\\\-2x + y = 5\\\\-2x + y - 5 = 0[/tex]
The equation of the line in STANDARD FORM is: D. -2x + y - 5 = 0.
Use the chart to help u ;-;"
Answers
Yesterday, the temperature at noon was 10.4°F. By midnight, the temperature has decreased by 16.7 degrees. What was the temperature at midnight?
I'm in 7th grade by the way
Answers
Answer:
-6.3 degrees
Step-by-step explanation:
First I formed the equation 10.4-16.7=x, which the answer came to be -6.3 degrees.
In a certain Algebra 2 class of 28 students, 7 of them play basketball and 5 of them
play baseball. There are 18 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?
Answers
Games at the carnival cost $2.50 each. The prizes awarded to winners cost $135.00. How many games must be played to make at least $45?
Question 1 options:
71
71.5
72
72.5
I WILL GIVE BRAINLIST POINTS
Answers
Answer:
72
Step-by-step explanation:
I DIVIEDE 180 DIVIEDED BY $2.50=72
Find the distance between each pair of parallel lines with the given equations y=3x, y=3x+10
Answers
Answer:
sqrt10
Step-by-step explanation:
Since the closest distance between two parallel lines is a line that is perpindicular to them, we first find the line of the slope that is perpindicular to both lines. Since slope of line y = 3x+10 is 3, the slope of the line that is perpinduclar is -1/3. Therefore y = -1/3x is perpindicluar to both lines. We then find the intersection point of each line. We find said points by setting the lines equal to each other. 3x+10=-1/3x, x = -3 therefore y = 1. For the second line we get we find the origin is the intersection. Therefore since this forms a right triangle with the x axis, we find that the distance is 3^2+1^2 = sqrt10
The median of the set (n, n+5, n+6, n+9, n+15) is 9. What is the mean?
HELP ME
Answers
Answer: 10
Step-by-step explanation:
tbh its too long to explain i gtg now but plz just trust me
2) The value of y is directly proportional to the value of x. Given y = 12 when x = 36.
What is the value of y when x = 60? Show your work to receive full credit.
Answers
Answer:
I believe the answer is 20
Step-by-step explanation:
Mrs. Hoffman's Corner Store sells fuzzy socks for $4.00 a pair. Mrs. Hoffman buys the socks from a wholesale company for $1.00 a pair. What is the percent markup Mrs. Hoffman is using for these socks?
Answers
Answer:
3%
Step-by-step explanation:
Answer:
100%
Step-by-step explanation:
Markup % = ( Selling Price - Coast) / ( Coast) * 100
( $4 - $3) / ($3) * 100
1 * 100 = 100
what relations are functions?
Answers
Answer:
all
Step-by-step explanation:
because they all got x and y
Answer:
A and C
Step-by-step explanation: cause of that rule that says there is only one output for every input also for graphs you can use see if there are two points on a line then its not a function that's why D isn't cause there are two on X axis (2,-1) and (2,1) :))
Help me solve this problem please
Answers
Answer:
y= 2/3x+6
Step-by-step explanation:
if we multiply we can get the answer
Sally was walking to Ocean Front Housing Complex, In miles, how far is her distance?
mi,
Sally plans to stop half way and pick up something to eat at the deli. What coordinate is the deli?
Answers
Answer:
Sally is 10 miles
The coordinate ofthe deli is (1, -1)
Step-by-step explanation:
✍️Coordinate of Sally = (-3, 2)
Coordinate of Ocean Front = (5, -4)
The distance of Sally to Ocean Front Housing Complex = the distance between point (-3, 2) and (5, -4).
Use the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to calculate the distance between (-3, 2) and (5, -4):
[tex] d = \sqrt{(5 -(-3))^2 + (-4 - 2)^2} [/tex]
[tex] d = \sqrt{(8)^2 + (-6)^2} [/tex]
[tex] d = \sqrt{64 + 36} [/tex]
[tex] d = \sqrt{100} = 10 [/tex]
✅The distance of Sally is 10 miles
✍️the coordinate of Deli would be half the distance between Sally and Ocean Front.
Therefore, use the midpoint formula to calculate the coordinate of the midpoint between Sally (-3, 2) and Ocean Front (5, -4).
Midpoint of (-3, 2) and (5, -4).
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Plug in the values
[tex] M(\frac{-3 + 5}{2}, \frac{2 +(-4)}{2}) [/tex]
[tex] M(\frac{2}{2}, \frac{-2}{2}) [/tex]
[tex] M(1, -1) [/tex]
✅The coordinate ofthe deli is (1, -1)
[tex]\sqrt{8}+\sqrt{18}-\sqrt{32}[/tex]
Answers
√8+√18−√32
√2^2·2+√3^2·2−√2^4·2
√2^ 2·√2+√3^2·√2−√2^4·√2
√2 is the answer