Graph the polygon and its image after a dilation centered at C(1,1)
with scale factor k=0.5
.
J(3,1), K(5,−3), L(5,5), M(3,7)
Answers
Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.
DIlations are defined by the follwing operation:
[tex]P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)][/tex] (1)
Where:
[tex]O(x,y)[/tex] - Center of dilation.[tex]k[/tex] - Dilation factor.[tex]P(x,y)[/tex] - Original point of the polygon.[tex]P'(x,y)[/tex] - Dilated point of the polygon.If we know that [tex]O(x,y) = (1,1)[/tex], [tex]k = 0.5[/tex], [tex]J(x,y) = (3,1)[/tex], [tex]K(x,y) = (5, -3)[/tex], [tex]L(x,y) = (5,5)[/tex] and [tex]M(x,y) = (3,7)[/tex], then the coordinates of the new polygon are:
[tex]J'(x,y) = (1,1) + 0.5\cdot [(3,1)-(1,1)][/tex]
[tex]J'(x,y) = (1,1)+0.5\cdot (2,0)[/tex]
[tex]J'(x,y) = (1,1) +(1,0)[/tex]
[tex]J'(x,y) = (2,1)[/tex]
[tex]K'(x,y) = (1,1) + 0.5\cdot [(5,-3)-(1,1)][/tex]
[tex]K'(x,y) = (1,1) +0.5\cdot (4,-4)[/tex]
[tex]K'(x,y) = (1,1) +(2,-2)[/tex]
[tex]K'(x,y) = (3,-1)[/tex]
[tex]L'(x,y) = (1,1) + 0.5\cdot [(5,5)-(1,1)][/tex]
[tex]L'(x,y) = (1,1) + 0.5\cdot (4,4)[/tex]
[tex]L'(x,y) = (1,1) + (2,2)[/tex]
[tex]L'(x,y) = (3,3)[/tex]
[tex]M'(x,y) = (1,1) + 0.5\cdot [(3,7)-(1,1)][/tex]
[tex]M'(x,y) = (1,1) +0.5\cdot (2,6)[/tex]
[tex]M'(x,y) = (1,1) +(1,3)[/tex]
[tex]M'(x,y) = (2,4)[/tex]
Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.
We kindly invite to check this question on dilations: https://brainly.com/question/13176891
Related Questions
solve for x, find the measure of all angles plzzzzz!!
Answers
Answer:
∠ H = 22.5°, ∠ I = 45° , ∡ J = 112.5°
Step-by-step explanation:
The 3 angles in a triangle sum to 180° , then
x + 2x + 5x = 180 , that is
8x = 180 ( divide both sides by 8 )
x = 22.5
Then
∠ H = x = 22.5°
∠ I = 2x = 2 × 22.5° = 45°
∠ J = 5x = 5 × 22.5° = 112.5°
I need help please each number has its own equation number it off please
Answers
2) x/8 -5 > -6/10
3) 2+x is greater or equal to 12x4
What is the vertex for:
y=−7(x−2)2
Question 7 options:
(-7,-2)
(2,0)
(-2,0)
(-7, 2)
Answers
Answer:
you factories the equation
How many pounds is a pepper?
I really need to know.
Answers
Answer:
4-5 ounces or 113-142 grams
Step-by-step explanation:
2 + 2 = 4 - 1 =
thats 3 quick maffs
Answers
Answer:
3
Step-by-step explanation:
Larry needs 45 ounces of graph juice for 6 guests. Later, he finds out that 26 guests are coming. how much graph juice does he need to purchase?
A. 196 Ounces
B. 270 Ounces
C. 40.3 Ounces
D. 1170 Ounces
Answers
Based on the amount of juice needed for 6 guests, the amount of juice Larry will need for 26 guests is A. 196 ounces.
First find out the amount of juice a single guest will need:
= Quantity of juice / Number of guests
= 45 / 6
= 7.5 ounces
If a guest needs 7.5 ounces, 26 guests would need:
= 25 x 7.5
= 195 ounces
In conclusion, 196 ounces of juice is needed.
Find out more at https://brainly.com/question/1201888.
Business Math I need help with fraction word problems.
Answers
Answer:
which kind?
Step-by-step explanation:
PLEASE ANSWER NOWWWWW
340816.326531
Answers
Answer:
nearest whole number would be 340816
Answer:
340,816
Hope this helps :)
help me asap! please i need help
Answers
Answer:
1,000
Step-by-step explanation:
1. Write the following statements in the from of equations.
a. The sum of five times p and 8 is 23
Answers
Answer:
The answer is ( 5×p) + 8 = 23
Here's your required answer!
a) Five times p = 5p
5p + 8 = 23________________________________
list the first six multiples of 6
Answers
Answer: 6, 12,24,30,36
Step-by-step explanation:
Hope this helps! :)
Use the Distributive Property to solve the equation.
3(x−6)+8=5x−2
Answers
Answer:
x = -4
Step-by-step explanation:
2x=-2+10
-2=8
x=-4
Answer:
3x-18+8=5x-2
3x-10=5x-2
3x-5x=-2+10
-2x=8
X=-4
Step-by-step explanation:
Have a great day
What is the equation of the line that passes through the point (8,-8) and has a slope of -2
Answers
Answer:
y=-2x+8
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the point (8, -8) and has a slope of -2
We can write this equation in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
Since we already know the slope of the line, we can immediately plug it into the equation as m:
y=-2x+b
Now we need to find b
As the equation of the line passes through the point (8, -8), we can use it to help solve for b, since (8, -8) is a solution to the equation, meaning that it will yield a true statement when plugged into the equation
So substitute 8 as x and -8 as y:
-8=-2(8)+b
Multiply
-8=-16+b
Add 16 to both sides
8=b
Now substitute 8 as b into the equation:
y=-2x+8
Hope this helps!
.Equation of line in point slope form
[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\\ \sf\longmapsto y+8=-2(x-8)[/tex]
[tex]\\ \sf\longmapsto y+8=-2x+16[/tex]
[tex]\\ \sf\longmapsto 2x+y+8-16=0[/tex]
[tex]\\ \sf\longmapsto 2x+y-8=0[/tex]
How do I answer this question?
Answers
Yan po correct me if im wrong po.. Salamat po...
Please answer my question correctly.
Answers
Answer: reasoning
Step-by-step explanation:
FOR
Equatus
Solve THIS systim of
4x + 5y = 8
= 8
+
4x = 6-5y
Answers
Answer:
no solutions
Step-by-step explanation:
4x+5y=8
-4x+5y=6
0=2
no solutions
Zoey is having a party for 10 friends.2 If each friend eats 1/2 pounds of chips, how many pounds of chips will Zoey need?
A. 6 pounds
B. 4 pounds
C. 5 pounds
Someone help me
Answers
Answer: C
Step-by-step explanation: 10 times 1/2
Answer:
C. 5 Pounds
Step-by-step explanation:
Total of 10 friends divide that by 2 you get five so you would do 5 times to would be 10 (sorry if i explained that weirdly)
Round 0.008547 to the nearest thousandth :]
Answers
Answer:
0.855
Step-by-step explanation:
Brainliest Please!Answer:
Step-by-step explanation:
The first zero in the tenth region
The second zero is in the hundreds region
The 8 is in the 1/1000 so look to the next digit.
It is a 5
So round 1 digit in the thousands higher.
Answer: 0.009
[tex]\sqrt{7+2\sqrt{10} } -\sqrt{7-2\sqrt{10} }[/tex]
Answers
GIVING BRAINLIST!! PLS ANSWER
Trina is buying 12 shirts for the drama club.She will choose a style for the blank shirts and then pay additional charge of $2.75 for each shirt to have the club logo. If Trina cannot spend more than $99, how much can she spend on each blank shirt? Write and solve an inequality to find the possible cost of each blank shirt.
Answers
Answer:
The most she can spend on each blank shirt is $5.50.
Step-by-step explanation:
In order to set up the inequality, we need to write an expression for the total cost of each shirt wherein the price of each blank shirt is "x". Tina needs to buy 12 shirts and there is an additional charge of $2.75 for each logo. The total cost needs to be less than or equal to $99.
This gives us 12 * (x + 2.75) ≤ 99
We can then distribute:
12x + 12 * 2.75 ≤ 99
12x + 33 ≤ 99
Then subtract 33 from both sides:
12x ≤ 66
And finally divide by 12 on both sides:
x ≤ 5.5
Answer:
Step-by-step explanation:
12x + 2.75*12 < 99 Combine 12 * 2.75
12x + 33 < 99 Subtract 33 from both sides
12x < 99 - 33 Combine
12x <66 Dive by 12
x < 66/12
x < 5.50
The very most she can spend is 5.50 on each shirt. Actually it should be 5.49 which will be less than 99. It will come to 65.88 which is just 12 cents less than 99, but it answers the problem. The problem does not use less than or equal which would mean that 99 is the answer ≤
simplify: -4(x - 6) + 3(a - 7)
A. -4x + 3a - 3
B. -4x + 3a + 3
C. -4x + 3a + 45
D. -4x + 3a - 45
Answers
We have -4(x - 6) + 3(a - 7) = -4x + 24 + 3a - 21 = -4a + 3a + 3
so the answer is B
ok done. Thank to me :>
please help !! find the measure of ∠1 and ∠2. justify your answers
Answers
Answer:
angle 1 = 45° because vertical angles
angle 2 = 135° because supplementary angles
Step-by-step explanation:
∠1 = ∠a, ∠a = 45°
∠2 + ∠a (45°) = 180°
180° - 45° = 135°
Answer:
Angle 1= 45 degrees, angel 2= 135
Step-by-step explanation:
you know that line b has a 45 degree angle on a 180 total, so to find angle 1 you just move the 45 as they are the same, to find angle b you substract 45 from 180 getting 135
Which number is greater explain your reasoning .375 or 3/8? help!
Answers
Answer: Neither is greater, they are perfectly equal. Or If it's a trick question, 0.375
Step-by-step explanation:
3 divided by 8 equals 0.375, no rounding or anything. I'm not sure if it is more of a trick, brain melting question, then in that case 0.375 because I suppose it could be a rounded number that represents numbers such as 0.3751, 0.3752, etc.
ALSO THIS KNE HELPLL
Answers
A homeowner collects data about the amount of oil, in gallons, used to heat the house per month for 5 months and the average monthly temperature, in degrees Fahrenheit, for those months. The scatter plot shows the data. The function best fits these data.
Use the function A(t)to determine which of the following statements are true. Select all that apply.
A The homeowner would use about 82 gallons of oil to heat the house for a month with an average temperature of 10 °F.The homeowner would use about 82 gallons of oil to heat the house for a month with an average temperature of 10 ° F.
B The homeowner would use about 85 gallons of oil to heat the house for a month with an average temperature of 15 °F.The homeowner would use about 85 gallons of oil to heat the house for a month with an average temperature of 15 ° F.
C The homeowner would use about 0 gallons of oil to heat the house for a month with an average temperature of 68.5 °F.The homeowner would use about 0 gallons of oil to heat the house for a month with an average temperature of 68.5 ° F.
D The homeowner would use about 5 gallons of oil to heat the house for a month with an average temperature of 55 °F. The homeowner would use about 5 gallons of oil to heat the house for a month with an average temperature of 55 ° F.
E The homeowner would use about 96 gallons of oil to heat the house for a month with an average temperature of 0 °F.
Answers
They are doing the calculations, we can say that the alternatives are:
A) True
B) False
C) False
D) False
E) True
For this exercise, the equation should be used:
[tex]A(t)=-1.4t+96[/tex]
So analyzing the first given statement we will have to:
[tex]A(t)=-1.4t+96\\t=10\\A(t)=-14+96=82[/tex]
Based on the calculations, this statement is true, for the second statement we will have:
[tex]A(t)=-1.4t+96\\t=15\\A(t)=-21+96=75[/tex]
From the calculations this statement is false, so for the alternative we will have:
[tex]A(t)=-1.4t+96\\t=55\\A(t)=-77+96=19[/tex]
From the calculations this statement is false, so for the alternative we will have:
[tex]A(t)=-1.4t+96\\t=0\\A(t)=96[/tex]
Based on the calculations, this statement is true.
Learn more: brainly.com/question/516840
Determine whether the point (2, -3) is on the graph of each equation-
1) 4x + y= 11
2) 10x - 4y = 23
Answers
Answer:
1. Solving for x. Want to solve for y instead?
1 Subtract yy from both sides.
4x=11-y
4x=11−y
2 Divide both sides by 44.
x=\frac{11-y}{4}
x=
4
11−y
4g as a verbal expression
Answers
Answer:
Step-by-step explanation:
1) A number g multiplied by 4
2) Product of 4 and g
3) 4 times g
Graph the function f(x) = x^2 + 4x-12 on the coordinate plane.
Answers
Answer:
x-intercepts: (-6,0) and (2,0)
y-intercepts: (0,-12)
Minimum value at x = -2
What is 10,000 written as a power of 10?
Answers
Answer:
the answer shows in the picture, sorry, I tried to type it but it would come out different.
Step-by-step explanation:
10,000 = 10x10x10x10 = 10 4. Notice that the exponent of the ten is simply the number of the zeros.
Hope this helped:)
The large number 10,000 written as a power of 10 as 10⁴.
The given large number is 10000.
Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.
Here, the number 10000 can be written as 10⁴.
Therefore, the number 10,000 written as a power of 10 as 10⁴.
To learn more about the Scientific notation visit:
https://brainly.com/question/18073768.
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4 people can trim a hedge in one hour.
How long would it take 3 people?
Give your answer in minutes.
Answers
1 person in 15 minutes
3 people = 45 minutes
Answer:
The total time taken by 3 men to trim the hedge would be 80 minutes.
Step-by-step explanation:
1) The time taken by 4 men to trim the hedge is 1 hour or 60 min.
2) One me would take 4 times more time alone i.e. Time taken by only one man would be 4 hours or 240 min.
3) The time taken by 3 men would be 3 times less than time taken by one man i.e. 240/3=80 min.
#of people = 4
time taken for 4 ppl = 1hr / 60mins
# of people = 3
time taken = 1/x
4 - 1/60
3 - 1/x
cross multiply
x=60/3*4
x=80
hope this helps :)
mark me brainliest :D