Answers
Answer:
The single transformation that takes shape 'p' onto shape 'q' is a dilation by a scale factor of 3 with the center point (1, 0)
Step-by-step explanation:
The coordinates of the vertices of shape ΔP are;
A(2, 3), B(2, 1), C(3, 1)
The length AB = 3 - 1 = 2
The length CB = 3 - 2 = 1
∴ The length AC = √(2² + 1²) = √5
The coordinates of the vertices of shape ΔQ are;
A'(4, 9), B'(4, 3), C'(7, 3)
The length A'B' = 9 - 3 = 6
The length C'B' = 7 - 3 = 3
∴ The length A'C' = √(6² + 3²) = √(45) = 3·√5
∴ Figure Q ΔA'B'C' is a dilation of figure P ΔABC by a scale factor of A'B'/AB = 6/2 = 3
The distance of point B(2, 1) from the point (1, 0) = √((2 - 1)² + 1²) = √2
The distance of point B'(4, 3) from the point (1, 0) = √((4 - 1)² + 3²) = 3·√2
Therefore, the distances of points on figure Q from (1, 0) = 3 × the distances of points on figure from (1, 0)
Therefore, figure 'Q' can be obtained from figure 'P' by a dilation of figure 'P' by a scale factor of 3 with the center of dilation at point (1, 0).
Related Questions
Noah says, "If I try to write 100 expanded, it should have zero factors that are 10, so it must be equal to 0." Do you agree? Why or why not?
Answers
Answer:
Disagree
Step-by-step explanation:
10^0
According to the laws of indices, anything raised to the power of 0 will equate to 1. Therefore, based on this established mathematical principle, Noah's assertion about 10^0 being equal to 0 is false.
Hence, I disagree.
The average of Blanca's first three test scores was 90. The average of her next two test scores was 95. What was the average of Blanca's first five test scores?
Answers
Answer:
92.5
Step-by-step explanation:
you would add 90+95 which is 185 then divide that by 2 to get ur answer
HELP ASAP! Find the area of the shaded region.
Answers
Answer:
73.4
Step-by-step explanation:
the answer is 73.3966
How many solutions does the equation
-2(x + 3) = 2x - (5 – x) have?
Answers
Step-by-step explanation:
-2(x + 3) = 2x - (5 – x)
-2x+6= 2x-5+x
-2x+6=3x-5
-2x-3x=-5-6
-5x=-11
x= 11/5
( 1 solution)
Answer:
Solution given:
-2(x + 3) = 2x - (5 – x)
-2x-6=2x-5+x
-6+5=2x+2x+x
5x=-1
x=[tex] \frac{-1}{5} [/tex]
It has one Solution.
640 divided by 16= 16 divided by 16 =1
Answers
I need this pleaseeee
Answers
Answer:
2(√17b³ )c⁵
Step-by-step explanation:
We are to simplify the expression given below
√68b³c¹⁰
Simplifying 68
= √(17 × 4)b³c¹⁰
Hence
= 2√17b³c¹⁰
= 2 √17b³ × √c¹⁰
= 2 √17b³ × c¹⁰/²
= 2(√17b³ )c⁵
What is the mean of 53,13,34,41 26,61,34,13,69?
Answers
the 2 is repeating
Use the distributive property to remove the parentheses. 5(v+6)
Answers
Answer:
5 x 6v
Step-by-step explanation:
Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 12)(0,12) and (3, 6144)(3,6144).
Answers
Answer:
y1 = abx1 and y2 = abx2
Step-by-step explanation:
Somebody help me with this
Answers
Answer:
D s>350000
Step-by-step explanation:
The difference in base salary is 7,000 (45,000-38,000). To earn an additional 7,000, sales must be at least 350,000.
350000 x.02 (2% commission) is 7,000
When a graph is symmetric about the origin, it is an function.
When a graph is symmetric about the y-axis, it is an function.
A function is considered if f(-x) =
f(x), and it is considered
=
if f(-x) = -f(x).
Answers
Answer:
odd; even; even; odd
Step-by-step explanation:
The answers are odd, even, even, and odd respectively the graph is symmetric about the y axis it is an even function.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We know when the graph is symmetric about the origin it is an off function.
When the graph is symmetric about the y axis it is an even function.
When f(-x) = f(x) it is an even function
When f(-x) = -f(x) it is an odd function.
Thus, the answers are odd, even, even, and odd respectively the graph is symmetric about the y axis it is an even function.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
Sally can paint a room in 9 hours while it takes Steve 5 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answers
Answer: About 3 hours and 5 minutes to paint the room together.
Step-by-step explanation:
Sally can paint 1/5 of the room in an hour and Steve can paint 1/8 of the room in an hour.
Room/Hour
1/5 ± 1/8 =8/40
8/40+5/40=13/40
How long to paint the room?
13/40 x 1= 40/13
40÷13=3.0777
So the answer will be Sally and Steve can paint the room in about 3 hours and 5 minutes
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answers
Answer:
5x=0
X=0 only one solution
Answer:
5x=0
x= 0 anly solution. helpful answer
Solve for x. Rolind to the nearest hundredth.
Answers
cos(51°) = x/7
x = 7 • cos(51)
x = 4.4052 = 4.41
How many 1/4 pound packages of cheese can the deli make with 12 pounds of cheese
Answers
Answer:
48 1/4 packages
Step-by-step explanation:
Select the correct answer.
Which statement is true about this equation?
-9(x+ 3) + 12 = -3(2x + 5) - 3x
OA
The equation has one solution, x= 1.
OB.
The equation has one solution, x= 0.
O C.
The equation has no solution.
OD. The equation has infinitely many solutions.
Answers
D. the equation has infinitely many solutions
step-by-step explanation:
-9(x + 3) + 12 = -3(2x + 5) - 3x
-9x - 27 + 12 = -6x - 15 - 3x
-9x - 15 = -15 - 9x
+15 +15
-9x = -9x
the equation has infinitely many solutions
I need help with this!!
Answers
Good luck on ur test
Super Salad Dressing is made with 8\text{ mL}8 mL8, start text, space, m, L, end text of oil for every 3\text{ mL}3 mL3, start text, space, m, L, end text of vinegar.
Which of the following mixtures will taste the same as Super Salad Dressing?
Choose 3 answers:
Choose 3 answers:
(Choice A)
A
80\text{ mL}80 mL80, start text, space, m, L, end text of oil with 30\text { mL}30 mL30, start text, space, m, L, end text of vinegar
(Choice B)
B
3\text{ mL}3 mL3, start text, space, m, L, end text of oil with 8\text { mL}8 mL8, start text, space, m, L, end text of vinegar
(Choice C)
C
56\text{ mL}56 mL56, start text, space, m, L, end text of oil with 21\text { mL}21 mL21, start text, space, m, L, end text of vinegar
(Choice D)
D
40\text{ mL}40 mL40, start text, space, m, L, end text of oil with 25\text { mL}25 mL25, start text, space, m, L, end text of vinegar
(Choice E)
E
48\text{ mL}48 mL48, start text, space, m, L, end text of oil with 18\text { mL}18 mL18, start text, space, m, L, end text of vinegar
Answers
Answer: A, C, and E! I just took this on Khan Academy! Please mark me brainliest because it it correct!
What is the domain and Range of the piecewise function?
A. All real numbers
B. X<0, X>4
C. -inf < x < -2, 0< x<4, x>4
Answers
Answer:
option A all real numbers
Step-by-step explanation:
domain is the all possible "X" values
and X has all real values
All the real numbers of X are domain and range of piecewise function .
What is piecewise function?
A Piecewise Function is a merge of several functions in a single graph. Each function takes a part of the x axis of the graph.
Graph
Domain: The domain of a piecewise-defined function is the union of its subdomains.
Range :The range of a piecewise-defined function is the union of the ranges of each subfunction over its subdomain.
Now,
Straight line graph of x having equation : y = mx + cconstant value of x : x= yexponential curve of x .Thus the domain and range of piecewise function is all real numbers .
Know more about piecewise function,
https://brainly.com/question/28225662
#SPJ2
A milk-dairy produces 25,545 litres of milk every day. It supplies 15,625 litres of milk to a milk-depot and rest to the market. How much milk is supplied to the market ?
Answers
Answer:
plz mark brainliest
Answer:12345678910
Step-by-step explanation:
In the diagram below, 'AB is parallel to cd. What is the value of y?
Answers
60 jdfjbdjdjdjd ah inebauwkwhiwiwnais
Answer:
60
Step-by-step explanation:
A rectangular rug feet long and wide feet wide with a perimeter of 60 ft both X and Y are whole numbers between 10 and 20
Answers
Complete Question
A rectangular rug feet is x ft long and y feet wide with a perimeter of 60 ft both X and Y are whole numbers between 10 and 20. Fill in the blanks to complete the sentence. The Area of the rug is greater than___but less than__.
Answer:
he Area of the rug is greater than but less than [tex]441ft[/tex]
Step-by-step explanation:
From the question we are told that:
Perimeter [tex]P=60ft[/tex]
Value Range:Between 10-20
Generally the Area of the rug is greater than for values of X and Y greater than 9
Therefore Area is greater than from whole number 9
Generally the equation for Area greater than [tex]A_g[/tex] is mathematically given by
[tex]A_l=X*Y[/tex]
Where
[tex]X=9\\Y=9[/tex]
Therefore
[tex]A_l=X*Y[/tex]
[tex]A_l=9*9[/tex]
[tex]A_l=81ft[/tex]
Generally the Area of the rug is less than for values of X and Y less than 21
Therefore Area is less than from whole number 21
Generally the equation for Area greater than A_l is mathematically given by
[tex]A_g=X*Y[/tex]
Where
[tex]X=21\\Y=21[/tex]
Therefore
[tex]A_g=X*Y[/tex]
[tex]A_g=21*21[/tex]
[tex]A_g=441ft[/tex]
Declan says that any number n, the product 4 times n is greater than 4. Which value of n shows why declan is incorrect
Answers
Answer: [tex]n>1[/tex]
Step-by-step explanation:
Given
The product of 4 times n is greater than 4 i.e.
[tex]\Rightarrow 4\times n>4\\\text{Dividing both side of inequality by 4}\\\\\Rightarrow \dfrac{4n}{4}>\dfrac{4}{4}\\\\\Rightarrow n>1[/tex]
It can be said that the value of n must be greater than 1.
The average commute times for employees of a large company is 23 minutes.
The commute time of 12 employees are
25, 33, 26, 29, 17, 29, 42, 19, 15, 52, 11, and 14.
Enter the sample mean and the population mean in the boxes.
x¯ =
min
μ =
min
Answers
Answer:
x¯ = 26 min
μ = 23 min
Step-by-step explanation:
I took the test and these were the answers.
ifa = 2 and b = 3, which is the value of 4a3b2, O A. 100 OB. 144 OC. 288 D. 4608 E. 31104
Answers
Answer:
144
Step-by-step explanation:
The simplified equation would be 4x2x3x3x2 and that put into a calculator is 144
(find the value of x from the given
figures.)
F
a)
120
3
solo
Answers
Answer:
sorry,
can u repost yr question with figure plz
stay safe healthy and happy.Find all solutions to the equation. cos x = -1/2
Answers
Answer:
^^
Step-by-step explanation:
Answer:
You didn't add the range. I'll use (0<x<2π)
cosx = -1/2
x=-cos-¹(1/2)
x= -60°
Cosine is negative in the second and 3rd quadrants
180-x ---- Second quadrant
x+180 ----- 3rd quadrant
So
Our answer
180-(-60)=240° or 4π/3 second quad
180+(-60) = 120° or 2π/3---- 3rd quad
4. My son's age is of my wife's age, my wife's age is of my age, and my age is of my father's age. Find
age of my son, if my father is 50 years old
Answers
Answer:
50?
Step-by-step explanation:
Answer:
The age of son is 50.THANK YOU.
ahhhh someone help pls!!!!
Answers
Answer:
I may be wrong but I think it's 90 I may be wrong but hey I tryed.
Step-by-step explanation:
how many 1/2 cups are needed to fill the gap in this prism
A. 2
B. 4
C. 6
D. 8
have a great day!♡
Answers
Answer:
I don't know what prism. once you see this put it in the description of this
Step-by-step explanation: