Answers
Answers:
D'' = (1, -3)
E'' = (1, -1)
F'' = (3, -1)
G'' = (3, -4)
A diagram is shown below.
========================================================
Explanation:
The center of dilation is point E, which means this point does not move when the dilation is applied. Every other point will move.
As your diagram indicates, segment DE is 4 units long. If we apply the scale factor 1/2, then D'E' will be half as long meaning D'E' = 2. So point D' is 2 units above point E at (1,3)
Point F is 4 units away from point E. The scale factor 1/2 will bring F closer to E leading to segment F'E' = 2. So we'll start at E and move 2 units to the right to land on F ' (3, 1)
From F to G is 6 units, which cuts in half to 3. So from F' to G' is 3 units telling us we start at F ' (3, 1) and go up three units to get go G ' (3, 4)
So far we have
D ' = (1, 3)
E ' = (1, 1) ... fixed point doesn't move
F ' = (3, 1)
G ' = (3, 4)
-------------
From here we'll apply the reflection over the x axis rule which says
[tex](x,y) \to (x, -y)[/tex]
the x coordinate stays the same, and the y coordinate flips from positive to negative (or vice versa).
Based on what was mentioned for D', E', F' and G', we get the following
D'' = (1, -3)
E'' = (1, -1) .... this point does move now
F'' = (3, -1)
G'' = (3, -4)
Points E' and E'' are in different locations because all fixed points in this reflection are along the mirror line y = 0 (aka the x axis). In other words, if E was on the x axis, then it would not move if we applied this reflection.
Check out the diagram below see a visual summary of what happened. Note how the red points moved in closer to point E (since the distances from the center E have been cut in half) compared to the blue counterparts.
Related Questions
What is the Remainder when using long Division?
Answers
Answer:
it's the number that u end up with at the bottomof the division process. hope this helps...
Step-by-step explanation:
Answer:
[tex] {2x}^{2} + 3x - 11 + \frac{19x + 23}{ {x}^{2} + 2x + 2} [/tex]
Also, the term remaining after the last subtract step is the remainder and must be written as a fraction in the final answer.
GEOMETRY HELP PLEASEEEEEEEEEE
Lesson 5-1 Exploring What Makes Triangles Congruent Practice and Problem Solving: A/B
Answers
2.YZ~PQ
3.P~Y
4.X~N
5.NQ~XZ
6.PN~YX
Similar triangles may or may not be congruent.
The corresponding parts of XYZ and NPQ are: [tex]\mathbf{Z \cong Q}[/tex] , [tex]\mathbf{YZ \cong PQ}[/tex] , [tex]\mathbf{X \cong N}[/tex] , [tex]\mathbf{NQ \cong XQ}[/tex] , [tex]\mathbf{PN \cong YX}[/tex].The unknown values are: [tex]\mathbf{y = 18}[/tex] , [tex]\mathbf{z = 12}[/tex] , [tex]\mathbf{L = 60}[/tex] , [tex]\mathbf{C = 60}[/tex], [tex]\mathbf{AC = 24}[/tex].The congruent parts are: KL and RQ, KJ and RS, QS and LJQuestion 1 to 6:
Triangles XYZ and NPQ are similar triangles.
This means that:
Angles Z and Q, lines YZ and PQ, angles P and Y, angles X and N, lines NQ and XZ, lines PN and YX are corresponding sides and angles
Question 7 to 12:
Triangles LMN and CBA are similar triangles.
This means that:
[tex]\mathbf{7z+6 = 5y}[/tex]
[tex]\mathbf{2y-12 = z + 12}[/tex]
Collect like terms
[tex]\mathbf{2y= z + 12+12}[/tex]
[tex]\mathbf{2y= z + 24}[/tex]
Make z the subject
[tex]\mathbf{z = 2y -24}[/tex]
Substitute [tex]\mathbf{z = 2y -24}[/tex] in [tex]\mathbf{7z+6 = 5y}[/tex]
[tex]\mathbf{7(2y -24) + 6 = 5y}[/tex]
[tex]\mathbf{14y -168 + 6 = 5y}[/tex]
[tex]\mathbf{14y -162 = 5y}[/tex]
Collect like terms
[tex]\mathbf{14y -5y = 162}[/tex]
[tex]\mathbf{9y = 162}[/tex]
Divide both sides by 9
[tex]\mathbf{y = 18}[/tex]
Recall that: [tex]\mathbf{z = 2y -24}[/tex]
[tex]\mathbf{z = 2 \times 18 - 24}[/tex]
[tex]\mathbf{z = 12}[/tex]
[tex]\mathbf{L = 60}[/tex]
[tex]\mathbf{LN = 2y - 12}[/tex]
[tex]\mathbf{LN = 2 \times 18 - 12}[/tex]
[tex]\mathbf{LN = 24}[/tex]
[tex]\mathbf{C = L}[/tex]
[tex]\mathbf{C = 60}[/tex]
[tex]\mathbf{AC = LN}[/tex]
[tex]\mathbf{AC = 24}[/tex]
Question 13:
The congruent parts are: KL and RQ, KJ and RS, QS and LJ
Read more about congruent and similar triangles at:
https://brainly.com/question/19589236
Amy earned $25 after babysitting for 3 hours. If she always charges the same rate, how much will she make after working for 7 hours?
Answers
Answer:
$58.33
Step-by-step explanation:
Set up a proportion where x is the amount she makes for 7 hours:
[tex]\frac{3}{25}[/tex] = [tex]\frac{7}{x}[/tex]
Cross multiply and solve for x:
3x = 175
x = 58.33
So, after working for 7 hours, she will make $58.33
Answer:
About 60-65$
Step-by-step explanation:
Because every 3 hours she gets $25 and she worked 7 hours so there's 6 in 7 hours so 25+25 is 50 and the other hour would be half of 25 so 12.5 so between 60-65. Im so sorry if its wrong hope it worked tho! <3
i might give the crown
Answers
Answer:
Area=88in squared
Step-by-step explanation:
Answer 128 to the second power
explanation:
its 128 to the second power because if you multiply 16*8 and you will get 128to the second power
The parents are making sandwiches for a class picnic. They have 72 turkey slices, 48 cheese slices and 96 tomato slices. What is the greatest number of sandwiches they can make if each sandwich has the same filing? how many slices of turkey cheese and tomato each sandwich will have.
Answers
Evaluate the expression 2[x(2y+3z)] when x=8, y=3, and z=1. Show all steps below.
plz help me and show steps
Answers
Answer:
Step-by-step explanation:
Putting values
2[8(2(3)+ 3(1)]
2(8(9)
2(72)
144
if you have s3x 365 times how much is it a day?
this was from my math book
Answers
Answer:
Okay first okay this was not from your math book people actually need help on questions and here you are.
Step-by-step explanation:
m to the power of 4 =
when m is 2/3
plz help me
Answers
Answer:
WAIT I MESSED UP DONT ANSWER THAT
Step-by-step explanation:
Answer:
[tex]\frac{16}{81}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} ^{4} = \frac{16}{81}[/tex]I hope this helps!
PLEASE PLEASE HELP I WILL GIVE EXTRA POINTS AND BRAINALIST TO FIRST PERSON THXXX
Answers
Answer:
x<1200
X is the number of seats
X>3
Step-by-step explanation:
If <5=135 degrees, find the value of <2
Answers
Answer:
<2 is 45°
Step-by-step explanation:
180° - 135° = 45° (<6){Sum of Angles on a straight line}
<6=<3=45°{ Alternate angles}
<3=<2=45°{vertically opposite angles are equal}
68 first-graders and 17 other students attended a school assembly. What percentage of the students at the assembly were first-graders?
Answers
Answer:
0.25
Step-by-step explanation:
WILL PAY 40 POINTS AND BRAINLIEST!!!!
A line goes through the points (-3 1) and (-2 4)
(a) What is the slope of the line? Show your work.
(b) Write the equation of the line in point-slope form. Show your work.
(c) Write the equation of the line in slope-intercept form. Show your work.
Answers
Answer:
Part A)
The slope is 3.
Part B)
[tex]\displaystyle y-1=3(x+3)[/tex]
Part C)
[tex]\displaystyle y=3x+10[/tex]
Step-by-step explanation:
We know that the line goes through the points (-3, 1) and (-2, 4).
Part A)
To find the slope of a line given two points, we can use the slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x₁, y₁) and (x₂, y₂) are our two points.
So, let’s let (-3, 1) be (x₁, y₁) and let (-2, 4) be (x₂, y₂). Substitute appropriately:
[tex]\displaystyle m=\frac{4-1}{-2-(-3)}[/tex]
Evaluate:
[tex]\displaystyle m=\frac{3}{-2+3}=\frac{3}{1}=3[/tex]
Hence, the slope of our line is 3.
Part B)
Point-slope form is given by:
[tex]\displaystyle y-y_1=m(x-x_1)[/tex]
Where m is our slope and (x₁, y₁) is a point.
So, let’s substitute 3 for m.
For our point, we can use either of the two given. Let’s use (-3, 1) for consistency. So, let (-3, 1) be (x₁, y₁). Therefore:
[tex]\displaystyle y-1=3(x-(-3))[/tex]
Simplify. Hence, our point-slope form is:
[tex]\displaystyle y-1=3(x+3)[/tex]
Part C)
To rewrite into slope-intercept form, we can just solve for y from our point-slope form. So, we have:
[tex]\displaystyle y-1=3(x+3)[/tex]
Distribute on the right:
[tex]\displaystyle y-1=3x+9[/tex]
Add 1 to boths sides. So, our slope-intercept equation is:
[tex]\displaystyle y=3x+10[/tex]
what is the slope intercept formula
Answers
Answer:
y=mx+b
Step-by-step explanation:
Answer:
y=mx+b
Explanation:
The slope-intercept formula is y=mx+b. The b represents the y-intercept, which is the point where a line on a graph meets the y-axis. The coordinates for this would be (0,b). The m represents the slope, which is the rate of change. The x represents any x variable that you plug in. The y represents the y variable.
ASAPP!!! Pls help meee :((
Answers
Answer:
H
Step-by-step explanation:
None of them share the same X
Mr. Yoshi has 75 papers. He graded 60 papers, and he has a student teacher grade the rest. What percent of the papers
did Mr. Yoshi grade?
Answers
Answer:
80%
Step-by-step explanation:
Need help please ASAP
Answers
Answer:
D
Step-by-step explanation:
You have 4 chairs originally, added 2 and if you separate the tables you would get T=whatever the number is. i think
TIME REMAINING
01:58:43
Which statement is a correct interpretation of the vertical line test?
If only one vertical line intersects the graph at exactly one point, the graph represents a function
If only one vertical line intersects the graph at exactly one point, the graph does not represent a function
If any vertical line can intersect the graph at more than one point, the graph represents a function
If any vertical line can intersect the graph at more than one point, the graph does not represent a function
Answers
Answer:
If only one vertical line intersects the graph at exactly one point, the graph represents a function.
Find the slope of the line through each pair of points. (-13, -3) (4, 5)
Answers
Answer:
the answer is [tex]m=\frac{8}{17}[/tex]
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (I use it all the time).
20 POINTS NO CAP PLEASE HELP ME NEED RIGHT ANSWER
Answers
Answer:
I think it might be the last answer
Step-by-step explanation:
sorry just tryna help ok dokie
Answer:
yaaa last one
Step-by-step explanation:
what is the measure of the line segment AB if D is between A and B, AD = 7, and DB = 12?
Answers
Answer:
Given AD = 7 and DB = 12, to find AB you need to add them
AB = 12+7
AB = 19
The measure of the line segment AB is 19 units.
What are the coordinates of midpoint of the line segment AB?Suppose we've two endpoints of a line segment as:
A(p,q), and B(m,n)
Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:
[tex]x = \dfrac{p+m}{2}andy = \dfrac{q+n}{2}[/tex]
We are given that;
AD = 7, and DB = 12
Now,
To find the measure of the line segment AB, we need to use the segment addition postulate. The segment addition postulate states that if a point is between two other points on a line segment, then the sum of the lengths of the two smaller segments is equal to the length of the larger segment.
In this problem, D is between A and B, so we can apply the segment addition postulate and write:
AD + DB = AB
Substituting the given values of AD and DB, we get:
7 + 12 = AB
Simplifying, we get:
19 = AB
Therefore, by the given point the answer will be 19 units.
Learn more about mid point here;
https://brainly.com/question/5127660
#SPJ2
⚠️PLEASE HELP FAST⚠️ Camie and Jorge each begin saving money
for a new computer. Camie saves $5 per
week plus $50 she receives for her birthday.
Jorge saves $7 per week. Which of the
following can be used to find w, the number
of weeks until Jorge has saved at least the
same amount as Camie?
A.7w = 5W + 50
B.50 + 5w < 7w
C.5W + 50 >_7w
D.7W >_5W + 50
Answers
Answer:
The answer is A
Step-by-step explanation:
Camie: $5x + $50 = $55 ( for now/i think)
Jorge: $7x
The equation to represent Jorge has saved at least the same amount as Camie is 7w = 5W + 50.
The correct option is (A)
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.
Given:
Camie saves $5 per week plus $50 she receives for her birthday.
Jorge saves $7 per week.
Now, Jorge have to achieve the same amount as Camie.
let w be the number of weeks.
Then equation can be represented as
7w = 5W + 50
Here 7w is amount by Jorge and 5W + 50 is amount of Camie.
Hence, the equation to represent Jorge has saved at least the same amount as Camie is 7w = 5W + 50.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ2
A baker has 5 bags of raisins in the cupboard. Each bag weighs 24 ounces. How many pounds of raisins does the baker have in the cupboard?
Answers
Answer:
7 1/2 pounds
Step-by-step explanation:
5 x 24 = 120
16oz = 1 pound
120oz = 7 1/2 pounds
Answer:
7.5 lbs of raisins
Step-by-step explanation:
24 x 5 = 120 ounce (oz)
1 lb = 16 oz
120 ÷ 16 = 7.5 lbs
y = 6x - 10
y = 2x + 2
Answers
Answer:
1. x= 5/3 or 1.6 and y= -10
2. x= -1 and y= 2
Step-by-step explanation:
1. y= 6x - 10, 0= 6x - 10, -6x= -10, x= 5/3
2. y= 2x + 2, 0= 2x + 2, -2x= 2, x= -1
\large{\dfrac{2.64\times 10^{-3}}{8.0\times 10^{0}}} =\ ?
8.0×10
0
2.64×10
−3
Answers
Answer:the answer is option a. it involves organizing events in the order in which they occurred.
Step-by-step explanation:
Determine the GCF of 18xy and 12xy
Answers
Answer:
If im correct im pretty sure its 6xy
The GCF of 18xy and 12xy is 6xy.
What is Greatest Common Factor?The largest factor that splits both numbers is said to be the greatest common factor. List the prime factors of each integer before calculating the greatest common factor.
18 and 24 share one 2 and one 3 in common.
, so 2 x 3 = 6 is the GCF of 18 and 24.
Given:
18xy and 12xy
now, factoring the above terms
18xy = 2 × 3 × 3 × x × y
12xy= 2 × 2 × 3 × x × y
So, 18xy & 12xy = 2 x 3 xy = 6xy
hence, the GCF of 18xy and 12xy is 6xy.
Learn mor about GCF here:
https://brainly.com/question/11444998
#SPJ2
slope for (1,5) (3,4)
Answers
Answer:
-1,2
Step-by-step explanation:
4-5=-1
3-1=2
y2-y1
x2-x1
Factor the expression completely, -12.75 + 4.25x
Answers
Explanation: when you add the two you get 8.25 but there are more negatives then positives so it’s gonna be negative and then you just add the x at the end
someone help me please, this topic is based on slopes.
Answers
Answer:
run / rise =5/1
Step-by-step explanation:
The run is 5 and the rise is 1
PLEASE HELP ME FAST... WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
Answers
Answer:
22.1
Step-by-step explanation:
divide 16.9 by 13= 1.3
17x1.3=22.1
what is 14+8.12 – 42
Answers
Answer:
-19.88
Step-by-step explanation:
hope this helps :)
❅ Answer:
-19.88
❅ Step-by-step explanation:
Add 14 + 8.12 which gives you 22.12. Now subtract 22.12 by 42 = -19.88
Hope this helps! By: BrainlyAnime~
♡ Thank you and have a wonderful day ♡
