Answers
Answer:
a) Center of dilation (0,0)
b) Scale factor = 2
Step-by-step explanation:
Dilation of Polygons
The triangle ABC has its vertices at A(-2,2), B(4,2), and C(-2,-2).
The triangle A'B'C' has its vertices at A'(-4,4), B'(8,4), and C'(-4,-4).
Since A'B'C' is a dilation of ABC, we check if all its vertices are proportional with the same scaling factor.
Both vertices of A' are twice the vertices of A: (-4,4)=2*(-2,2)
Both vertices of B' are twice the vertices of B: (8,4)=2*(4,2)
Both vertices of C' are twice the vertices of C: (-4,.4)=2*(-2,-2)
a)
The proportionality of the coordinates of the vertices tells us the center of dilation must be the origin of coordinates (0,0).
b)
The scale factor is the constant number all the vertices are multiplied by, that is, scale factor = 2
Related Questions
find f((1)/(3)) if f(n)=3n
Answers
Answer:
1Step-by-step explanation:
Given
f(n) = 3nTo find
f(1/3) =?Substitute n with 1/3 and calculate
f(1/3) = 3*1/3 = 1Answer: The answer is 1 sweetie
Step-by-step explanation: Given
f(n) = 3n
To find
f(1/3) =?
Substitute n with 1/3 and calculate
f(1/3) = 3*1/3 = 1
Substitution method
3x+2y=15
y=6x
Answers
3x + 2(6x) = 15
3x + 12x = 15
15x = 15
X = 1
Answer:
x = 1
Step-by-step explanation:
3x +2y = 15
y = 6x
Substitute y for 6x in 3x +2y = 15!
3x + 2(6x) = 15
3x + 12x = 15
Combine like terms
15x = 15
Divide both sides by 15
15x = 15
x = 1
Brainliest is much appreciated!
if the first and fifteen terms of A.P. are 8 and -48 respectively, obtain the progression
Answers
Answer:
8, 4, 0, -4, - 8, .........
Step-by-step explanation:
The n the term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and a₁₅ = - 48, then
8 + 14d = - 48 ( subtract 8 from both sides )
14d = - 56 ( divide both sides by 14 )
d = - 4
To obtain the progression subtract 4 from each term, that is
8, 4, 0, - 4, - 8, ......
Answer:
8, 4, 0, -4, -8, -12, -16, -20,...
Step-by-step explanation:
Arithmetic Progressions
The general term of an arithmetic progression (A.P.) is:
[tex]a_n=a_1+(n-1).r[/tex]
Where:
a1 = First term
an = Term number n
n = Number of the term
r = Common difference
We are given: a1=8, and a15=-48, n=15. Calculate r:
[tex]\displaystyle r=\frac{a_n-a_1}{n-1}[/tex]
[tex]\displaystyle r=\frac{-48-8}{15-1}[/tex]
[tex]\displaystyle r=\frac{-56}{14}[/tex]
r = -4
We can get the terms of the progression by subtracting 4 to the previous term.
Thus, the first terms of the progression are:
8, 4, 0, -4, -8, -12, -16, -20,...
figure is made from a part of a square and a part of a circle.
$
This figure
10
a) What is the perimeter of this
figure, to the nearest unit?
Answers
Answer:
Step-by-step explanation:
Answer:38
Step-by-step explanation:
Solve the equation that represents: The difference of five times a number and 6 is -2.
Answers
Answer:
5n-6= -2
Step-by-step explanation:
The difference of...... this means its asking us to subtract one number from another number
5 times a number...... that means 5n
6..... since it said DIFFERENCE, it would be -6
is -2........ this means the answer to the equation is -2
So the equation is 5n-6= -2
Hope this helps!
Vivian scored 8 out of 10 on a quiz. Ramona scored 3 out of 4. Did Vivian and Ramona get equivalent scores? Explain.
Answers
Answer:
Yes
Step-by-step explanation:
8/10 can be simplified to become 3/4
Choose the expression equivalent to 2^ -2 x
2^5.
Answers
Answer:
2³
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , thus
[tex]2^{-2}[/tex] × [tex]2^{5}[/tex] = [tex]2^{(-2+5)}[/tex] = 2³ [ = 8 ]
How would I Graph y = -3/2x - 3
Answers
Answer:the slope is negative is the one with the x , -3/2 so that means the top of the line points to the top left
Start with -3 which on the y axis start on -3 go down thats the first dot point then do slope which is -3 down /2 right the opposite start again on -3 on the y go up 3 and 2 to the left connect points
Step-by-step explanation:
Question 10
Evaluate 122 – 3 [4 () – (18)].
Answers
Answer:
here is the answer -(12)/(-3)
Step-by-step explanation:
PLEASE MARK BRAINILIEST!
Please help me out! I can’t do this on my own.
Answers
Answer:
y = 6x
Step-by-step explanation:
y = mx + b
Slope (m) = 6/1 up 6, right 1
Y-intercept (b) = 0
if f(x)=4^x+4, then calculate f(0)
Answers
ok so F (0) should be equaled to = 0
Answer:
f(0) = 5
Step-by-step explanation:
Note that [tex]a^{0}[/tex] = 4
To calculate f(0), substitute x = 0 into f(x), that is
f(0) = [tex]4^{0}[/tex] + 4 = 1 + 4 = 5
Hey I am super confused about the equation below. plzz help!!!
Answers
Answer:
50.
Step-by-step explanation:
12 x 45 = 540. 45 + 5 = 50.
PLEASE HELP!!!!
2. Toss 4 times Imagine tossing a fair coin 4 times . (a ) Give a probability model for this chance process . (b) Define event B as getting exactly three tails . Find P(B)
Answers
Answer:
If a coin is tossed 4 times; number of possible outcomes = (2^4) = 16. 3 heads and 1 tail can occur from 4 tosses in (4C3)*(1C1) = 4*1 = 4 ways. So, the probability = (4 / 16) = (1 / 4) = 0.25.
i didnt really understand the question but hope this helps
According to the information given, we have that:
a) A binomial model with [tex]p = 0.5[/tex] and [tex]n = 4[/tex] should be used.b) P(B) = 0.25.For each coin, there are only two possible outcomes, either it is heads, or it is tails. The result of the flip of a coin is independent of any other flip, hence, the binomial distribution is used to solve this question.
Binomial probability distribution[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.Item a:
The coin is tossed 4 times, hence [tex]n = 4[/tex].It is a fair coin, hence equally as likely to be heads and tails, which means that [tex]p = 0.5[/tex].Hence, a binomial model with [tex]p = 0.5[/tex] and [tex]n = 4[/tex] should be used.
Item b:
P(B) is P(X = 3), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25[/tex]
Hence, P(B) = 0.25.
To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377
What's y'all favorite tic tok sound?
Answers
Answer:
Laxed (SIREN BEAT)" by Jawsh 685
Step-by-step explanation:
Solve -17 = x/-3 for x. x =
Answers
Answer:
x equals 51
Step-by-step explanation:
1. Do the inverse operation of x/-3 which is multipulcation.
2. Multiply -17 by -3 to get the answer of 51.
Finish the equation by saying that x = 51, or 51 = x.
Answer:
X=51
Step-by-step explanation:
You would have to multiply 17 by 3.
10x3=30
7x3=21
then you add 30 and 21 which equals 51
As a part of your project studying tipping behavior, you ask people the question, How much should you tip a grocery bagger for carrying five bags to your car? The Grocery Bagger Surveys tab of this spreadsheet gives the responses to this question from 10 independent surveys, each with 50 respondents. The respondents were asked to round to the nearest quarter, since few people tip with pennies, nickels, and dimes. In the spreadsheet, you can calculate the mean, or average, of data using the Average function: Select the cell in which you want the mean to appear. Type =AVERAGE( in the formula bar. Select all the cells containing the values for which you want to find the average, and then press Enter. The average of the values in the cells will be calculated and displayed in the cell in which you entered the formula. Question 1 What is the sample mean of the responses in survey 1?
Answers
Answer:
The sample mean for survey 1 is $1.69.
Step-by-step explanation:
I just did this on edmentum plato.
La embotelladora La Pingüica llena de refresco cierta
cantidad de botellas por día. Calcula el número de
botellas llenadas sabiendo que la veinticincoava
parte del cuádruple de ellas menos 5 000 que se
rechazaron equivale a 3 640 de los envases. en lengua algebraico
Answers
Answer:
No hablo espanol.
puedes escribir en ingles
Step-by-step explanation:
Can someone please help me with this question?!
Answers
What is the next fraction in this sequence?
3/10, 1/4, 1/5,3/20...
Answers
Answer:
1/10
I hope this helps!
Answer:
1/10
Step-by-step explanation:
6/20, 5/20, 4/20, 3/20 2/20
The graph shows the cube root parent function.
Answers
Answer: C
Step-by-step explanation:
The function is always increasing
The function is increasing when x>0 for the graph of [tex]y= \sqrt[3]{x}[/tex] as parent function.
What is graph?" The graph is defined as the representation of relation between two variables on the coordinate plane."
According to the question,
Given graph of the cube root parent function
For function [tex]y= \sqrt[3]{x}[/tex]
x = 0 ⇒ y = 0
x = 1 ⇒ y = 1
x = 8 ⇒ y = 2
x = 27 ⇒ y = 3
Therefore, for x>0, function [tex]y= \sqrt[3]{x}[/tex] is increasing.
Hence, Option(D) is the correct answer.
Learn more about graph here
https://brainly.com/question/20381610
#SPJ2
Identify the terms, coefficients, and constants of the expression. a^2 + 2 + 7b
Answers
Step-by-step explanation:
constant=7
coefficient=2
Y=4x+2
A) Identify the slope (4,-2)
B)Identify the y-intercept:-2
Answers
Answer:
4 - slope
2 - y - intercept
Step-by-step explanation:
The equation is in slope-intercept form.
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The '4' is the slope of the equation.
[tex]y=\boxed{m}x+b\\\\y=\boxed{4}x+2[/tex]
The '2' is the y-intercept.
[tex]y=mx+\boxed{b}\\\\y=4x+\boxed{2}[/tex]
Hope this helps.
How do I solve this and check all the solutions?
Answers
Answer:
it is -6
Step-by-step explanation:
This is pretty confusing please help!!!!!
Answers
what 901 divided by 3
Answers
Answer:
300.33333
Step-by-step explanation:
pls help me
(answer choices)
a: 134
b:46
c:136
d:43
Answers
Answer:
i wanna say its 136 but im not completely sure
I hope this helps!!!
Which of the following represents the range of the relation below?
{(0, 0), (1, 4), (6, 2)}
{0, 1, 2, 4, 6}
{0, 2, 4}
{1, 6}
{0, 1, 6}
Answers
Answer:
{ (0,0),(1,4),(6,2)
Range = {0,2,4}
Jordan's dog with p.M. Pounds Emmett apostrophe s dog with 25% more than Jordan star which expression represents the weight in pounds of Emmett apostrophe s dog select all the apply a 0.25 P 1.25 p c p + 0.25 DP + 120.25
Answers
Answer: 1.25 p , where p= Weight of Jordan's dog
Step-by-step explanation:
Let p = Weight of Jordan's dog .
Given: Emmett apostrophe's dog with 25% more than Jordan star.
Then, weight (in pounds) of Emmett apostrophe s dog = p +25% of p
= p +0.25 p [We divide a number by 100 to remove %]
= p(1+0.25)
= p(1.25)
=1.25 p
Hence, the expression represents the weight in pounds of Emmett apostrophe's dog=1.25 p
Draw the dilation of ABCD using center D and scale factor 1/3. Label the dilation EFGH
Answers
Answer:
Please find attached, the required drawing of quadrilateral ABCD and the dilation of quadrilateral ABCD scaled down by a scale factor of 1/3
Step-by-step explanation:
The coordinates of the quadrilateral ABCD are;
A(0, 6), B(6, 6), C(9, 0), D(0, 0)
From the dilation by a scale factor of 1/3, using D as the center of dilation, we have from the attached drawing, the following coordinates of the quadrilateral EFGH as E(0, 2), F(2, 2), G(3, 0) H(0, 0) which is the quadrilateral ABCD scaled down by 1/3
Kayla's school is selling tickets to the annual dance competition. On the first day of ticket sales the school
sold 3 senior citizen tickets and 5 child tickets for a total of $70. The school took in $216 on the second day by
selling 12 senior citizen tickets and 12 child tickets. Find the price of a senior citizen ticket and the price of a
child ticket.
Answers
Answer:
senior ticket = $10 child's ticket = $8
Step-by-step explanation:
s = senior ticket
c = child's ticket
We need to write 2 equations, and we have 2 unknowns, s and c.
3s + 5c = $70
12s + 12c = $216
First solve for s using the first equation.
3s + 5c = 70 Subtract 5c from each side
3s + 5c - 5c = 70 - 5c
3s = 70 - 5c Divide each side by 3
3s/3 = (70 - 5c)/3
s = [tex]\frac{70 - 5c}{3}[/tex]
Now plug in s into the second equation.
12s + 12c = 216
12([tex]\frac{70 - 5c}{3}[/tex]) + 12c = 216
[tex]\frac{12}{3}[/tex] (70 - 5c) + 12c = 216
4 (70 - 5c) + 12c = 216
280 - 20c + 12c = 216
280 - 8c = 216 Add 8c to each side
280 - 8c + 8c = 216 + 8c
280 = 216 + 8c Subtract 216 from each side.
280 - 216 = 216 - 216 + 8c
280 - 216 = 8c
64 = 8c Divide each side by 8
64/8 = 8c/8
64/8 = c
8 = c
Now plug c into the first equation and solve for s.
3s + 5c = 70
3s + 5(8) = 70
3s + 40 = 70 Subtract 40 from each side.
3s + 40 - 40 = 70 - 40
3s = 70 - 40
3s = 30 Divide each side by 3
3s/3 = 30/3
s = 30/3
s = 10
So a senior ticket costs $10 and a child's ticket costs $8.