Graph the image of the figure after a dilation with a scale factor of 3 centered at (2, −7). Use the Polygon tool to graph the quadrilateral by connecting all its vertices.
Answers
Answer:
Here's what I get.
Step-by-step explanation:
Assume the figure is like Image 1 below.
We must dilate each point by a scale factor of 3 centred at (2, −7).
1. Determine the transformation rules
Each point moves to three times its original distance from the centre.
Let P = a point on the figure and
let O = the centre of dilation
and L = the distance from the point to the centre. Then
L = P - O
Three times that distance is
3L = 3P - 3O
We want to find the point P' that is 3L from O, so we add this distance to the coordinates of O.
P' = 3L + O = 3P - 3O + O = 3P + 2O
If P is at (x,y) and O is at (h,k), the transformation rule is
(x,y) ⟶ (3x - 2h, 3y - 2k)
2. Make a table of the new coordinates
[tex]\begin{array}{cclc}\textbf{Point} & \mathbf{(x,y)} &\textbf{Image Coordinates } \mathbf{(3x - 2h, 3y - 2k)}&\mathbf{(x',y')} \\A & (-2,-7) & (-6,-21) -2(2,-7) = (-6 - 4, -21 + 14) & (-10,-7) \\B & (0,-4) & (0,-12) -2(2,-7) = (0 - 4, -12 + 14)& (-4,2) \\C & (3,-3) & (9,-9) -2(2,-7) = (9 - 4, -9 + 14) & (5,5) \\D & (4,-5) & (12,-15) -2(2,-7) = (12 - 4, -15 +14) & (8,-1) \\\end{array}[/tex]
3. Graph the new shape
You should get a graph like Fig. 2.
The rays from Point O pass through corresponding points in the two shapes, so this is a dilation about O.
Point B is two units left of O and three units up.
Also, B' is six units left and nine units up, so the scale factor is three.
Related Questions
does anyone understand and can help me asap?
Answers
Answer:
see below
Step-by-step explanation:
Circumference of circle = 2πr =dπ
Area of circle =πr²
1) Circle1 d =4 in, r =2 in
Circumference of circle1 =4π in
Area of circle1 = 2²π =4π in²
2) Circle2: d =3 in, r =1.5 in
Circumference of circle2 =3π in
Area of circle2 = 1.5²π =2.25π in²
3) Circle3: r =1 in, d =2 in
Circumference of circle3 =2π in
Area of circle3 = 1²π =π in²
4) Circle4: r =2 1/2 in = 2.5 in, d =5 in
Circumference of circle4 =5π in
Area of circle4 = 2.5²π = 6.25π in²
5) 2/3 of the Area of circle1 = (2/3)*4π in²= (8/3)π in²
6) 1/2 of the Area of circle2 = (1/2)*2.25π in² = (1/2)*(9/4)π in² = (9/8)π in²
7) 1/4 of the Area of circle3 = (1/4)π in²
8) 1/3 of the Area of circle4 = (1/3)* 6.25π in² =(1/3)*(25/4)π in² = (25/12)π in²
A triangle on a coordinate plane is translated according to the rule T-8,4(x, y). Which is another way to write this rule?
A (x,y) - (x + 4, y - 8)
B (x,y) - (x - 4, y - 8)
C (x, y) - (x - 8, y + 4)
D (x,y) - (x + 8, y - 4)
Answers
Answer:
CStep-by-step explanation:
(x, y) → (x – 8, y + 4)A triangle on a coordinate plane translated according to the rule [tex]T_{-8,4}(x,y)[/tex]can also be written as [tex](x,y)[/tex] → [tex](x-8,y+4)[/tex] according to the translation rule.
What is translation rule ?According to translation rule [tex]T_{a,b}(x,y)[/tex] tells that translation of a point (x,y)
by (a,b) is given by [tex](x,y)[/tex]→[tex](x+a,y+b)[/tex].
How to use translation rule to find the answer?Given that [tex]T_{-8,4}(x,y)[/tex], a=-8 and b=4
Putting in the values given in the question to the translation rule we get
[tex](x,y)[/tex]→[tex](x+(-8),y+(4))[/tex]
[tex](x,y)[/tex]→[tex](x-8,y+4)[/tex]
Hence we get triangle on a coordinate plane translated according to the rule [tex]T_{-8,4}(x,y)[/tex]can also be written as [tex](x,y)[/tex] → [tex](x-8,y+4)[/tex]. Answer C is correct.
Learn more about translation rule here:
brainly.com/question/1678275
#SPJ2
Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw the coin once.
1. Which one of the following statements is, cotlrrect about the probability of Aadi getting Tails?
A. Sue's estimate is best because she throws it 50 times.
B. Sue's estimate is best because she gets more Tails.
C. Sue's estimate is best because she throws it more times than Eric
2. Use Eric's and Sue's results to work out an estimate for the probability that Aadi will get Tails. Write out your fraction in the form a/b
P. S WILL MARKS AS BRAINIEST AND THANK IF YOU ANSWER DECENTLY
Answers
Answer:
(1) The correct option is (A).
(2) The probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].
Step-by-step explanation:
It is provided that:
Eric throws a biased coin 10 times. He gets 3 tails.Sue throw the same coin 50 times. She gets 20 tails.The probability of tail in both cases is:
[tex]P(\text{Tail})=\frac{3}{10}[/tex] [tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex](1)
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
In this case we need to compute the proportion of tails.
Then according to the Central limit theorem, Sue's estimate is best because she throws it n = 50 > 30 times.
Thus, the correct option is (A).
(2)
As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:
[tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex]
Thus, the probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].
Answer:
Answer is C
Step-by-step explanation:
The more you throw the coin the more reliable the test becomes, therefore C is most definitely the correct answer :)
Help. I’m thinking this is either b,c,d not sure which one though
Answers
Answer:
D
Step-by-step explanation:
A line with slope of 4/5 and y-intercept 1 has the equation y = 4/5x + 1. Since our options are in standard form, let's convert out equation. We get:
5y = 4x + 5
5y - 4x = 5.
Answer:
It's C I THINK but it might be D.
Step-by-step explanation:
Find the distance between k and l
Answers
In the number
23.45, the digit
2 is in the Select...
place.
Answers
Answer:
tens place
Step-by-step explanation:
tens ones . tenths hundredths
2 3 . 4 5
I will give the brainliest answer
Answers
Answer:
96 cm²
Step-by-step explanation:
area of single square:16cm²
no. of square in cube:16*6: 96cm²
Answer:
[tex]96 \: \: {units}^{2} [/tex]
Step-by-step explanation:
[tex]A
=
6
{a}^{2}
\\
=
6
·
{4}^{2}
\\
=
96 \: \: {units}^{2}
[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
PLEASE HELP!! 25 POINTS
Answers
Answer:
1. f(x) and g(x)
2. g(x)
3. All
4. F(x) and H(x)
Step-by-step explanation:
graph them
please help
From an upstairs window, I can see my neighbor's fence. The angle of depression is 7 degrees. If my window is 15 ft off the ground, how far is my neighbor's fence from my house? Round to the nearest whole number, do not include units.
Answers
Answer:
122
Step-by-step explanation:
Let x ft. be the distance from neighbour's fence to the house.
Please see attached picture for full solution.
Thus, distance from neighbour's fence to the house is 122 ft. (nearest whole number)
Simplify.
Rewrite the expression in the form y^n
Y^9•y^2
Answers
Answer:
Step-by-step explanation:
When you multiply two terms with same base, add the exponents.
Example: x*x² = x* x*x = x³
In short, x*x² = x¹⁺² = x³
[tex]y^{9}*y^{2}=y^{9+2}\\\\ = y^{11}[/tex]
Solve by substitution
X^2= 2y + 10
3x-y = 9
Answers
Answer:
[tex]x=-4\\ x=-2\\ y=-21\\ y=-15[/tex]
Step-by-step explanation:
[tex]x^{2} =2y+10[/tex]
[tex]y=-9+3x[/tex]
[tex]x^{2} =2(-9+3x)+10[/tex]
[tex]x^{2} =-18+6x+10[/tex]
[tex]x^{2} =6x-8[/tex]
[tex]x^{2} -6x+8[/tex]
[tex]x=-4, -2[/tex]
[tex]y=-9+3(-4)[/tex]
[tex]y=-9-12[/tex]
[tex]y=-21[/tex]
[tex]y=-9+3(-2)[/tex]
[tex]y=-9-6[/tex]
[tex]y=-15[/tex]
Answer:
(4,3) (2,−3)
Step-by-step explanation:
x^2 =2(−9+3x)+10
2(−9+3x)+10
x2 = −18+6x+10
x2=6x−8
x2−6x+8=0
We now have to find integers that find product is 8 and whose sum is −6
= -4 -2 we find this is set to 4 2 as x−4=0
Add 4 to both sides of the equation. x=4
Set the next factor equal to 0
x−2=0 Add 2 to both sides of the equation.x=2
Confirms and proves x = 4, x = 2
We solve for y
2y+10=(4)2
2y+10=16
2y=16−10
2y = 6
y = 3
We rewrite and solve for y again
(2)^2=2y+10
2y+10=(2)*2
2y+10=4
2y = 4(-10)
2y = -6
y= -3
Given the piecewise function shown, find the value of h(–6). A) 1 B) 26 C) -23 D) -6
Answers
Answer:
-22
Step-by-step explanation:
Which part of the function is valid when x = -6
The first part
h(-6) = 4x+2 and let x = -6
=4(-6) +2
= -24 +2
=-22
Answer:
-22
Step-by-step explanation:
What is the inverse of the function f(x) = 4x - 12
Answers
Answer:
y=x+12/4
Step-by-step explanation:
y=4x-12
x=4y-12 (then make y the subject)
x+12=4y(divide both sides by 4)
y=x+12/4
There you go bud
What is the area of this triangle?
Answers
Answer:
8 units^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
A = 1/2 (7-3) * (4-0)
= 1/2 4*4
= 8
Which expression represents 10 in rational exponent form?
A. 10
B. (3)
C. 101/2
D. 102/1
E. 102
Answers
Answer:
its b i checked it
Step-by-step explanation:
The equivalent rational exponent form of the expression [tex]\sqrt{10}[/tex] is [tex]10^{\frac{1}{2}[/tex].
What are surds and indices?We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,
The other type of radicals are indices where a number is raised to such power that is greater than one.
We know the square root of a number indicated the number has been raised by half.
Given, An expression [tex]\sqrt{10}[/tex].
So, The rational form of the expression [tex]\sqrt{10}[/tex] should be [tex]10^{\frac{1}{2}[/tex].
learn more about radical expressions here :
https://brainly.com/question/1369233
#SPJ5
Please answer fast, dhehdhhd
Answers
I believe the answer is 142 degrees.
38 degrees and 7 are adjacent, meaning adding them up will get you 180 degrees. 180-38=142, so 7 is 142.
Number 7 and 5 are corresponding, so they are equal.
This means that 5 is 142 degrees.
(I think)
type 2 ways they are the same.
Answers
Answer:
if you divide the first 2 in half you get the one in the bottom, if you unite each 2 in bottom you get the ones in top, its all i could think of, sorry
Step-by-step explanation:
Solve.
-6x - 4y = -32
-2x + 7y = 6
A. (5, 3)
B. (5, 2)
C. (4, 3)
D. (4, 2)
Answers
Answer:
D
Step-by-step explanation:
-6x=4y-32
x=(2(2y-16))/-6
x=(2y-16)/-3
x=(-2/3)*y+16/3
solve for y:
-2((-2/3)*y+16/3)+7y=6
(4/3)y+21/3y+(-32/3)=18/3
(25/3)y=(18+32)/3
(25/3)y=50/3
25y=50
y = 2
solve for x:
-6x - 4y = -32
-6x - 8 = -32
-6x = -24
x = 4
answer: (4, 2)
Please help ASAP Very easy !!!!
Answers
Answer:
C. [tex]\frac{3}{4} / \frac{1}{8}=6[/tex]
Step-by-step explanation:
This is the expression that is shown in the graph:
[tex]\frac{3}{4} / \frac{1}{8}[/tex]
We need to calculate the answer, so...
An easier way to divide a fraction by a fraction is to multiply one of the fractions with the reciprocal of the other fraction:
[tex]\frac{3}{4} *\frac{8}{1}[/tex]
8 divided by 1 is just 8 so you can simplify it:
[tex]\frac{3}{4}*8[/tex]
[tex]=\frac{8*3}{4}[/tex]
[tex]=\frac{24}{4}[/tex]
[tex]=6[/tex]
aaaaaaaaassssssssssssssppppppppppaaaaaaaaaapppppppaaaaa
Answers
Answer:
12(3+5)
Step-by-step explanation:
The greatest common factor is 12
12*3 + 12*5
12(3+5)
Answer:
12(3+5)
Step-by-step explanation:
First, let’s list all the factors of the two numbers. Factors are numbers that evenly divide into a number.
The two numbers are 36 and 60.
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The GCF is the greatest common factor. The biggest factor both numbers share is 12.
Now let’s find the expression.
36+60
We know the GCF is 12. Therefore, we can distribute out a 12. Take out a 12, and then divide both numbers by 12.
12( 36/12 + 60/12)
12(3+5)
You are a male who has a high school diploma. You plan to attend collage and earn a bachelors degree. When you graduate from college you get a job paying $40,780/yr. how much less areyou earning per year than median?
Answers
Answer: I think it’s 20,390
Step-by-step explanation:
Answer: 11,272
Step-by-step explanation: there are 52 weeks in a year multiply that by median wage, which is 1001. Then minus 40,780.
Please help marking brainliest QUICK
Answers
Answer:
50 lbs.
Step-by-step explanation:
Answer:
45.65
Step-by-step explanation:
PLEASE HELP! ILL GIVE WHOEVER ANSWERS BRANLIEST!
Question 1). Mrs. Cruz randomly surveyed 25 of her 125 students about their pets. Her survey indicated that 14 students have a dog, 7 students have a cat, 2 students have another kind of pet, and 8 students have no pet. (Note that some students have more than one pet). What is Mrs. Cruz’s best estimate of the total number of her students who have a dog? Justify your answer.
Answers
Answer: 70 I’m almost certain
Step-by-step explanation: 14 out of the 25 kids have a dog now if you were to have 125 kids which if 5 times the first 25 kids it would be 14x5 which is 70
Can some text me and help me with all my e2020
Will be Marked brainliest and extra points
A. Yes
B. No do it your self
Answers
Answer:
idk what an e2020 is ....... education2020?????? and i cant give out my number bc ppl can see here on brainly
I need help cause I don’t understand the concept
Answers
Answer:
make a graph based on the equation
Step-by-step explanation:
then match the graph you made to the answer choices
Find the surface area of the cylinder. Round your answer to the nearest tenth. Radius-8ft hieght-9ft
thanks!
Answers
The answer is 854.5 ft
I havent done surface area in a while so it might be slightly off
The sum of 2 times a number and 7 is equal to 6
Answers
Answer:
2x+7 = 6
x = -1/2
Step-by-step explanation:
Answer:
2x+7=6
Step-by-step explanation:
Here is a number machine. Write down an expression for the output if the imput is n. input=n) (+2) (x3) (output=?
Answers
Answer:
3n+6
Hope this helps you
Answer:
3n+6
Step-by-step explanation:
I need help quick lot of points easy question marked brainliest the best.
How do you find out a histograms least frequency interval
Answers
Answer:
Histograms are graphs of a distribution of data designed to show centering, dispersion (spread), and shape (relative frequency) of the data. Histograms can provide a visual display of large amounts of data that are difficult to understand in a tabular, or spreadsheet form.
They are used to understand how the output of a process relates to customer expectations (targets and specifications), and help answer the question: "Is the process capable of meeting customer requirements?"
To construct a histogram, the first step is to "bin" (or "bucket") the range of values—that is, divide the entire range of values into a series of intervals—and then count how many values fall into each interval. The bins are usually specified as consecutive, non-overlapping intervals of a variable.
Hope this Helps, good luck on our assignment!
Answer:
Hey! I think this video will help you!
Step-by-step explanation:
It won't let me send the video for some reason so I'll try and spell it out. Hint: there are no actual spaces so look this up without the spaces.
h t t p s : / / w w w . y o u t u b e . c o m / w a t c h ? v = v h c i k R s r d J o
on a piece of paper, graph y=3/4x-3. use the gtaph to find the x intercept of the line
Answers
Answer:
the intercept is 3/4
Step-by-step explanation:
it's the number in front of the x lol
