Triangle A is reflected in the x axis to give triangle B, which is then reflected in the line y=x to give Triangle C. Draw Triangle C.
Answers
Answer:
The coordinates of triangle C on the grid are
(-5,4) , (-2,2) and (-2,4)
Step-by-step explanation:
We can identify the coordinates of the vertices of the triangles so as to get a diagram
For the first triangle, we have the following coordinates;
(4,5) , (2,2) and (4,2)
Now, let us get the coordinates of triangle B after reflecting triangle A in the x-axis
what we have in this case is that the x-axis coordinates stays same while the y-axis values are negated
Hence, the coordinates of triangle B are;
(4,-5) , (2,-2) and (4,-2)
Lastly we are to reflect triangle B in the line y = x so we get triangle C
A reflection over the line y= x means that we are going to switch the place of the x and y coordinates of the pre-image
So, the coordinates of triangle C are;
(-5,4) , (-2,2) and (-2,4)
The coordinates of triangle C are (-5,4) , (-2,2) and (-2,4)
From the given image the vertices of the triangles are
Triangle A has coordinates (4,5) , (2,2) and (4,2)
After reflecting triangle A in the x-axis, triangle B is obtained
On reflection in x-axis, the x-axis coordinates remain same while the y-axis coordinates become negative with the same magnitude.
Hence, the coordinates of triangle B are (4,-5),(2,-2) and (4,-2)
Now as triangle B is reflected by the line y = x to get triangle C, the x and y coordinates of triangle B are interchanged.
So, the coordinates of triangle C are (-5,4),(-2,2) and (-2,4)
Learn more about transformation by reflection on axis:
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Related Questions
Solve the system of equations using elimination.
3x-2y=5
x+2y=3
Answers
Answer:
x = 2
y = 1/2
Step-by-step explanation:
3x - 2y = 5
x + 2y = 3
We don't have to mutiply anything because we have values that we can eliminate.-2y and 2y can be crossed off becuase they have the same value and plus and minus cancel out. We can add instead of changing the signs.
4x = 8
x = 2
Now we know that x = 2. To find y we have to plug in x into one of the equations. I am going to use x + 2y = 3.
2 + 2y = 3
2y = 1
y = 1/2
Now we figured out y. I hope I helped!
Which are shown on the diagram? Check all that apply.
Answers
Answer:
i think b,c,d and f
Step-by-step explanation:
Chase lives 1 and one half blocks west of Ellie. They draw a number line to model this situation. Because Ellie lives 1 and three fifths blocks east of school, they give her house the coordinate 1 and three fifths . Chase incorrectly claims that the coordinate of his house is 3 and one tenth . What is the correct coordinate of Chase's house? What is Chase's likely error?
Answers
Answer:
1/10
Step-by-step explanation:
A number line is a line which contains numbers marked at intervals (usually regular intervals). Points to the right of the origin are positive numbers while those to the left are negative numbers.
The school is used as the origin. Ellie house is 1 and three fifths blocks east (to the right) of the school. This means that it is + 1 and three fifths (+8/5).
Chase house is 1 and one half blocks (3/2) west of Ellie. Since it is west then it is to the left. Hence the coordinate of chase house = 8/5 - 3/2 = 1/10
Hence the coordinate of chase house is 1/10(one tenths).
The error may be as a result of thinking chase house is to the east of Ellie, hence adding to get 3 and one tenth.
Are 5 and 0.5 Equal to Each other?
Answers
Answer:
no
Step-by-step explanation:
5 is a whole number 0.5 doesn't equal to 1 it is half of 1
WHOEVERY ANSWERS RIGHT IT GETS BRAINIST
Answers
Answer:
It is (0,6)
Step-by-step explanation:
Find the x intercept, substitute 0 for y and slove for x
find the y intercept, substitue 0 for x and solve for y
the answer is c (0,6)
helpp meee pleaseeee
Answers
Answer:
I think its b:/ srry if I'm wrong
help please if you know the answer
Answers
Answer:D
Step-by-step explanation:
Solve the following linear inequality.
3 x - 15 5-6
A. x < 12
B.x > 12
C.x < -12 D.x > 12
Answers
Answer:
SOLVE FOR C
c=2−
x
6
−
x
2
3
,x
=0
SOLVE FOR X
{
x=
2−c
3
(
5−c
+
3
)
; x=
2−c
3
(−
5−c
+
3
)
,
x=−
2
1
,
c
=2 and c≤5
c=2
Complete the equation of the line through (2, 1) and (5, -8). Use exact numbers. y =
Answers
Answer:
Step-by-step explanation:
given: (2,1) & (5-8)
first find the slope,
m= (Y2-Y1) / (X2-X1)
m=(-8-1)/(5-2)
m=(-9)/(3)
m=-3
we have y=-3x+b
use any point to sub in x and y
1=-3(2)+b
1+6=b
b=7 therefore, y=-3x+7 is the equation
Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)
m = [tex]\frac{-8-1}{5-2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 1 ), then
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = - 3x + 7 ← equation of line
A shop keeper purchased 200 bulbs for Rs.10 each. However 5 bulbs were fused and had to
be thrown away. The remaining were sold at Rs.12 each. Find the gain or loss %
Answers
Answer: 17%
Step-by-step explanation:
A shop keeper purchased 200 bulbs for Rs.10 each. Therefore, the cost price:
= 200 × 10
= 2000
Since 5 bulbs were fused and had to
be thrown away and the remaining were sold at Rs.12 each. Therefore, selling price would be:
= 195 × 12
= 2340
Gain would be:
= 2340 - 2000
= 340
Gain percent would be:
= Gain / Cost price × 100
= 340/2000 × 100
= 17%
please help me this is turned in a couoke of minutes!!!!!!!!!!
Answers
Answer:
mince is the answer
Shakespeare wrote 38 plays: 16 comedies, 12 tragedies, and 10 histories. What is the ratio of comedies to the number of plays? (express in simplest form - that means reduce the fraction)
Answers
Answer:
8/19
Step-by-step explanation:
.....................................
A demon possessed woody and turned him into a monster!
He now hunts children aged 7-16 because he likes his meals chewy.
His head turns 360 degrees to spot prey.
If you look at the picture he will rise out of your sheets and put snakes in your shoes.
And he's right behind you.
Answers
Answer:
Ë
Step-by-step explanation:
Im literally going to poop my pants that is SO scawwwy. I deserve compensation for this. My lawyers are coming after you
Answer:
i looked behind me and yes i did see a monster, my brother
Step-by-step explanation:
The data in the table are linear. Use the table to find the slope.
2
4
6
8
1
-2.
-5
-8
a.
b.
3
2
3
2
او را
d. 2
3
Answers
Answer:
[tex]m = -\frac{3}{2}[/tex]
Step-by-step explanation:
Given
x 2 4 6 8
y 1 -2 -5 -8
Required
Determine the slope
First, pick any two corresponding x and y values.
[tex](x_1,y_1) =(2,1)[/tex]
[tex](x_2,y_2) =(8,-8)\\[/tex]
The slope (m) is then calculated using:
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
Substitute in, the x and y values
[tex]m = \frac{1 - (-8)}{2- 8}[/tex]
[tex]m = \frac{1 +8}{-6}[/tex]
[tex]m = \frac{9}{-6}[/tex]
[tex]m = -\frac{9}{6}[/tex]
Divide numerator and denominator by 3
[tex]m = -\frac{9/3}{6/3}[/tex]
[tex]m = -\frac{3}{2}[/tex]
Hence, the slope is -3/2
Answer:
Is -3/2.
Step-by-step explanation:
I just took the test!
Which line has a slope of 1/2 and passed through (2,-4)
Answers
Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups. After the party, 4 cups of juice were left over. At the party, how many cups did people drink? Show your work and complete the explanation of how you found your answer.
Answers
Answer:
60 cups
Step-by-step explanation:
Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups.
From the above question:
1 gallon of juice = 16 cups
Then:
4 gallons of juice = c
Cross Multiply
1 × c = 4 × 16 cups
c = 64 cups of juice
Hence, 4 gallons of juice = 64 cups of juice
We are told that :
After the party, 4 cups of juice were left over.
The cups of juice people drank at the party is calculated as:
Total cups of juice - Number of cups of juice left over.
64 cups of juice - 4 cups of juice
= 60 cups of juice
Which congruence theorem can be used to prove angle BDA triangle DBC?
С
B
D
A
OHL
O SAS
O AAS
O SSS
Answers
The answer is actually A. HL
The congruence theorem can be used to prove Δ BDA ≅ Δ DBC is HL.
Option A is the correct answer.
What is triangle congruency?There are ways to prove that two triangles are congruent.
- Side-Side-Side (SSS) Congruence.
The three sides of one triangle are equal to the corresponding three sides of another triangle.
- Side-Angle-Side (SAS) Congruence.
The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
- Angle-Side-Angle (ASA) Congruence.
The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.
- Angle-Angle-Side (AAS) Congruence.
We have,
We see that,
ΔBDA and ΔDBC are both right triangles.
Now,
DC = AB (hypotenuse) (given)
DB = DB ( Common sides )
CB = DA ( Remaining side of the right triangle )
ΔBDA ≅ ΔDBC
Proved by HL.
Thus,
The congruence theorem can be used to prove Δ BDA ≅ Δ DBC is HL.
Learn more about triangle congruency here:
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Micah downloads music from an online music store. He pays $1.00 for each song, but if he buys three songs he gets a fourth song for free. Does this relationship have a constant rate of change or a varying rate of change?
Answers
Answer: this relationship has a constant rate because the pattern will stay as buy three get the 4th one free
Step-by-step explanation:
Answer:
A varying rate of change.
Step-by-step explanation:
He will have spend 1 dollar for one song, making that point (1,1), 2 dollars for two songs (2,2), 3 dollars for 3 songs (3,3), but when he buys a fourth song, which is free, he has still only spent 3 dollars, making the point (4, 3).
(That's with the amount of songs as the x value and money spent as the y-value)
Ricardo open a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals . The account earns 1% simple interest. What is the total amount that Ricardo will have in his account at the end of 3 years ?
A:$168.00
B:$56.00
C:$576.80
D:$565.60
Answers
Answer:
C
Step-by-step explanation:
What is the least common Denominator for 29/40
Answers
Answer:
You need to know the least common denominator (LCD) of 40 and 29 if you want to add or subtract two fractions with 40 and 29 as denominators. The least common denominator, also called lowest common denominator (LCD), of 40 and 29 is 1160 .
Step-by-step explanation: hope this helps
Help please:):):):):):)
Answers
do eat popcorn in a tub
:)
poopy face
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The shwabble-dabble-wabble-gabble flibba blabba blab
I'm full of shwibbly liber-kind
I am the yeast of thoughts and minds
[Chorus]
Shwabble dabble glibble glabble schribble shwap glab
Dibble dabble shribble shrabble glibbi-glap shwap
Shwabble dabble glibble glabble shwibble shwap-dap
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[Bridge]
Ooh, ha ha ha, mmm, splendid
Simply delicious
Ohm, ha ha ha ha
[Verse 2]
I am the Glob-glo-gab-galab
The shwabble-dabble-wabble-gabble flibba blabba blab
I'm full of shwibbly liber-kind
I am the yeast of thoughts and minds
[Chorus]
Shwabble dabble glibble glabble schribble shwap glab
Dibble dabble shribble shrabble glibbi-glap shwap
Shwabble dabble glibble glabble shwibble shwap-dap
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A small town has two local high schools. High School A currently has 500 students and is projected to grow by 80 students each year. High School B currently has 700 students and is projected to grow by 30 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine how many students would be in each high school in the year they are projected to have the same number of students.
Answers
The equation that represent the number of students in High School A at time t is AA = 500 + 80tt.
The equation that represent the number of students in High School B at time t is BB = 700 + 30tt.
The number of students when both schools would have the same number of students is 820.
When would the school have the same number of students?
The equation that represent the number of students in High School A :
current number of students + (number of years x rate of increase)
AA = 500 + 80tt.
The equation that represent the number of students in High School B at time t is:
current number of students + (number of years x rate of increase)
BB = 700 + 30tt.
When the schools would have the same number of students, the two equations would be equal:
700 + 30tt = 500 + 80tt
700 - 500 = 80tt - 30tt
200 = 50tt
tt = 200 / 50
tt = 4
Population = 500 + (80 x 4)
500 + 320 = 820
To learn more about linear equations, please check: https://brainly.com/question/26434260
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If the 3 cans cost 0.78 how much will 2 cans cost
Answers
Answer:
.52
Step-by-step explanation:
math ting
A hybrid car can travel 40 miles per gallon. Approximately how many gallons of fuel will the car need to travel 20 km? (5 points) [1 mile = 1.6 km]
Answers
Answer:
To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.
Step-by-step explanation:
Proportions
The hybrid car can travel 40 miles per gallon.
Since one mile is equivalent to 1.6 Km, the distance traveled per gallon is 40*1.6 = 64 Km.
Now the distance is expressed in Km, we can find the gallons needed to travel 20 Km, by calculating 20/64 = 0.3125.
To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.
If a relation has more numbers in its range than in its domain, what has to be true?
Answers
Answer:
Both the domain and range are the set of all real numbers. For the absolute value function f(x)=|x| f ( x ) = | x | , there is no restriction on x . ... For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. this is the best i can do if its not helpful i guess u can ask ur teacher.
HELP ME, PLEASE. I REALLY NEED IT
Find x:
[tex]S=\frac{1}{sin2x}+\frac{1}{sin4x}+\frac{1}{sin8x}+...+\frac{1}{sin2^{n}x }[/tex]
Answers
Answer:
cotx - cot2ⁿxStep-by-step explanation:
Note: finding the sum not xFirst rewrite the first term as:
1/sin2x = sinx / (sinxsin2x) = sin(2x-x) / (sinxsin2x) =(sin2xcosx - cosxsinx) / (sinxsin2x) = (sin2xcosx)/(sinxsin2x) - (cos2xsinx)/(sinxsin2x) = cosx/sinx - cos2x/sin2x = cotx - cot2xNow the sum is:
S = cotx - cot2x + cot2x - cot4x +... + cot2ⁿ⁻²x - cot2ⁿx =cotx - cot2ⁿxWhat can you do if your struggling in Volume in Math?
Answers
Answer:
Study Harder
Step-by-step explanation:
The soccer club had a party in a private room at a restaurant. The restaurant charged $25 for the private room, and $9 per person. The cost (C) for p people to attend the party is modeled by the equation below. C = $25 + $9p How much did it cost if 18 people attended the party?
Answers
Answer:
$187
Step-by-step explanation:
C = $25 + $9(18 people)
C = 25 + 162
C = $187
Help me and I’ll give brainliest to u
Answers
Answer:
7p
Step-by-step explanation:
Since it is 7 dollars per person, and p stands for person, the admission fee would be 7p.
Thank you, I hope you learned from this answer! If it did help, please mark this as brainliest! Thank you!
halp plz my mommy sayd that i neda awnsur this to pas my test!!!!!! i wil brainlist!!!! :))
John has 4 apples, he gives 2 to Karen. How many apples will John have if he give 2 more apples to Becky?
thx for haplin me!! :)
Answers
Question:
Each week, Tasha saves 80% of the money she earns babysitting and spends the rest. This week she earned $80.00.
How much more money did she save than spend this week?
Answer:
none. i better be right or else im jumping off my roof