how to dilate with a scale factor of 1/3 with orgin point on graph
Answers
Answer:
each coordinate is multiplied by 1/3
Step-by-step explanation:
Each point on the graph is moved to a distance from the origin that is its previous distance multiplied by the scale factor. This means every coordinate value is multiplied by the scale factor.
For example, a coordinate of (3, -9) scaled by 1/3 will become ...
(1/3)(3, -9) = (1, -3)
__
Additional comment
If your scale factor is 1/3, often you will find that coordinates of the larger image are all multiples of 3. This makes relocating them to 1/3 their original distance fairly easy. Even if they're not, you still move each point to 1/3 its original distance. The new point will be on the line segment joining the center of dilation (the origin) with the original point.
The attached graph is an illustration of dilation by a factor of 1/3.
Related Questions
jack predicted his car payment to be $300 each month. His actual car payment is $275 each month.what % was his prediction off by
Answers
Answer:
.91% he wa off by .91% because .91 of 300 is 25 and 300- 25 is 275
Step-by-step explanation:
A line passes through the point -10,9 and has a slope of 1/2. Write an equation in slope-intercept form for this line
Answers
Answer:
Step-by-step explanation:
The slope intercept form of an equation of a line is y = mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).
Since the slope is (1/2), we can write:
y = (1/2)x + b
We want a value of b such that it forces the line to go through point (-10,9). Enter that point in the equation and solve for b:
y = (1/2)x + b
9 = (1/2)*(-10) + b
9 = -5 + b
b = 14
The eqyuation of a line with a slope of (1/2) and goes through point (-10,9) is:
y = (1/2)x + 14
See attachment.
what is the value of x? 48°(3x + 6)
Answers
Answer:
No clue
Step-by-step explanation:
Katie works as a waitress and records her monthly tips in the table shown below. If Katie decided not to work the month of November, how would her five month average compare to her six month average for monthly tips? June July August Septemper October November $133. 45 $235. 31 $239. 45 $258. 87 $298. 45 $115. 67 a. Her monthly average would have decreased by $19. 57. B. Her monthly average would have increased by $19. 57. C. Her monthly average would have increased by $2. 7. D. Her monthly average would have decreased by $2. 7. Please select the best answer from the choices provided A B C D.
Answers
Her monthly average would have decreased by $19.57 and it can be determined by using taking the average value of every month.
Given that,Katie works as a waitress and records her monthly tips in the table shown below.
June, July, August, September, October, November
$133.45, $235.31, $239.45, $258.87, $298.45, $115.67
If Katie decided not to work the month of November,
We have to determine,How would her five-month average compare to her six-month average for monthly tips?
According to the question,Katie works as a waitress and records her monthly tips in the table below.
June, July, August, September, October, November
$133.45, $235.31, $239.45, $258.87, $298.45, $115.67
To find out how not working in November would affect the average of Katie's tips.
The average of her working June until October only.
[tex]\rm Average = \dfrac{133.45 + 235.31 +239.45 + 258.87 + 298.45}{5}\\\\Average =\dfrac{ 1165.53 }{ 5}\\\\Average = 233.10[/tex]
Then, The average is with the month of November is,
[tex]\rm Average = \dfrac{133.45 + 235.31 +239.45 + 258.87 + 298.45 + 115.67}{6}\\\\Average =\dfrac{ 1281.2 }{ 6}\\\\Average = 213.53[/tex]
Therefore,
On comparing the average of her five-month average to her six-month average for monthly tips is,
[tex]233.10 - 213.53 = 19.57[/tex]
The average will decrease because 213.53 is less than 233.10.
Therefore, Her average will decrease by $19.57.
Hence, Her monthly average would have decreased by $19.57.
For more details about the Average value refer to the link given below.
https://brainly.com/question/8916264
Answer:
b
Step-by-step explanation:
The area of a triangle is 30 square inches.
The base of the triangle is x - 6 inches,
and the height is x + 5 inches.
Find the value of x, and the dimensions of the triangle.
A = 1/2bh
x=
base=
height=
Answers
Answer:
x=10
base=4inches
height=15inches
Step-by-step explanation:
A=1/2bh
30=1/2(x-6)(x+5)
60= x²+5x-6x-30
x²-x-90=0
x²-10x+9x-90=0
x(x-10) +9(x-10)=0
(x+9)(x-10)=0
x= -9 or 10
x cannot be negative
Therefore x= 10
base= 10-6
=4inches
height=10+5
=15inches
Sean is drinking a slushy as fast as he can. The amount of slushy left in the cup (in milliliters) as a function of time (in seconds) is graphed. How long did it take Sean to finish the slushy?
______ seconds
Answers
Answer:
75 seconds
Step-by-step explanation:
The graph intersects the x axis at 75 seconds. That means y = 0, and y is the amount remaining (in ml).
After 75 seconds the amount of slushy left in the cup becomes zero the answer is 75 seconds.
What is a line graph?A line graph is a type of graph where the data points are connected by segments of straight lines.
We have a line graph shown in the picture.
Sean is drinking a slushy as fast as he can. The amount of slushy left in the cup (in milliliters) as a function of time (in seconds) is graphed.
As we can see the amount of slushy left in the cup is decreasing as the time increases.
At time = 75 seconds
The amount of slushy left in the cup = 0
Thus, after 75 seconds the amount of slushy left in the cup becomes zero the answer is 75 seconds.
Learn more about the line graph here:
brainly.com/question/23680294
#SPJ2
Erica has $12 credit on her Cel-Tel phone card. It costs her $1 to make a phone call using her Cel-Tel card. Erica also has $15 credit on her MTT phone card. It costs her $2 to make a phone call using her MTT card. Which system of equations can be solved to find the number of calls, x, that Erica can make and have the same amount of money, y, on both phone cards?
yy==−2x+15−x+12
y = - 2 x + 15 y = - x + 12
yy==2x+15−x+15
y = 2 x + 15 y = - x + 15
yy==−2x−15−x−12
y = - 2 x - 15 y = - x - 12
yy==15x−212x−1
y = 15 x - 2 y = 12 x - 1
Answers
Answer: b
Step-by-step explanation:
Helps me please ill give brainliest to the best ! this is supposed to be easy(not for me)
Answers
range: 1-infinity
Nathan uses ¼ cup of water for every ½ cup of lemon juice to make lemonade. Enter the number of cups of water Nathan uses for 1 cup of lemon juice. LEAVE THE UNITS OFF, JUST WRITE THE NUMBER.
Answers
I think it should be 1/2 cup water. Sorry if I'm wrong
Which expression is equivalent to
(5x10^-3+(6x10)^3
2.2x10^4
A. 5 x 10
B. 5 x 101
C. 5 x 10-10
D. 5 x 107
Answers
Answer:b
Step-by-step explanation:
a scale model of a building 8 inches tall. if the actual height of the building is 496 feet. what is the scale
Answers
Answer:
8 inches= 62 ft
Step-by-step explanation:
496 divided by 8
46. An olympic athlete has just completed a four mile run. His average time was 6 minutes per mile. If he ran the first and last mile in 5 minutes, and the other 2 were the same time as each other, what was the average time for the 2 miles in the middle
Answers
Answer:
7 minutes
Step-by-step explanation:
average time = 6 minutes per mile
sum = average * count = 6 minutes / mile * 4 miles = 24 minutes
first + last mile = 5 + 5 = 10 minutes
first + second + third + last mile = sum = 24 minutes
second + third = sum - first - last = 24 - 5 - 5 = 24 - 10 = 14 minutes
average of 2 miles in the middle = sum / count = 14 minutes / 2 = 7 minutes
Find the slope of the line that passes through the pair of points (-17, – 8) and (0, – 5)
Answers
Answer:
-13/-17
Step-by-step explanation:
y1-y2/x1-x2=-13/-17
-5--8/0--17 =3/17
Find the slope of a line parallel to each given line.
y = x - 1
Answers
Answer:
1
Step-by-step explanation:
First, you should put the equation in slope intercept form (y = mx + b), where m is the slope. A parallel line will have the same slope so if 1x is your slope for the first equation, 1 should also be the slope for the 2nd equation
Answer quicklyy please
Answers
Answer:
B
Step-by-step explanation:
Because to have the problem fully divided she would have to subtract 40 once more time to get 1 as a remainder.
Hopes This Helps :)
16x2 + 81y2 + 32x + 648y + 16 = 0 write instandard form
Answers
Rationalize the denominator
Answers
Answer:
[tex]\huge\color{purple}\boxed{\colorbox{black}{Answer♡}}[/tex]
[tex] \frac{2}{ \sqrt{7} - 1} \\ = > \frac{2}{ \sqrt{7} - 1} \times \frac{ \sqrt{7} + 1}{ \sqrt{7} + 1} \\ = > \frac{2( \sqrt{7} + 1)}{ \sqrt{7} {}^{2} - 1 {}^{2} } \\ = > \frac{2 \sqrt{7} + 2}{7 - 1} \\ = > \frac{2( \sqrt{7} + 1)}{6} \\ = > \frac{ \sqrt{7} + 1}{3} [/tex]
———————————————[tex]\color{red}\boxed{\colorbox{skyblue}{Additional Information~}}[/tex]
Here..Step 3 contains the algebraic identity( a + b ) × ( a - b ) = a² - b²
Also.. in the very last step ,we earlier had 2 multiplied to rest of the numerator and 6 in the denominator..
we simply divided both the numerator as well as denominator by 2 and hence got the result obtained.
hope helpful~
~Be Brainly!~Exhausted ZombieHow i can answer this question
Answers
Answer:
B
D
C
Glad I coild help you out.
Answer:
B,C and D
Step-by-step explanation:
They all expand back to 16x + 20.
Need help with properties if dilations homework
Answers
With a dial action, although the dilated image may get smaller or larger the angles/ slope of lines would remain the same.
Slope = change I. Y over the change in X
Slope = (5-4) /(3-2) = 1/1 = 1
Slope = 1
Write 3.005 as a fraction in the simplest form
Answers
Answer: 601
200
Step-by-step explanation: when you reduce 3.005 it is 601/200 and it is in its simpilist form
Answer:
3\frac{1}{200}
Step-by-step explanation:
please help me with this
Answers
Answer: 3Z
Step-by-step explanation:
A regular hexagon is rotated 360° about its center. How many times does the image of the hexagon coincide with the pre image during the rotation?
A. 1 time
B. 3 times
C. 12 times
D. 6 times
Answers
The image of the regular hexagon coincides with the pre-image 6 times during rotation.
A regular hexagon is a polygon that has six equal sides and six equal angles.
In a single rotation which is usually the rotation of an object at 360°, the number of times in which the regular hexagon coincides with its pre-image is 6 times, this is because it has 6 equal sides and 6 equal angles.
Learn more about regular polygon here:
https://brainly.com/question/1592456
Answer:
6
Step-by-step explanation:
I just took the test
A backyard measures 30 feet by 40 feet. If the owner builds a fence around, about how many feet of fencing will be needed?
Answers
Answer:
140 feet
Step-by-step explanation:
You will need to find the perimeter of the backyard to find how many feet of fencing will be needed
the formula for perimeter is: 2l+2w
So 2 times 30 is 60
with 2 times 40 80
60+80 is 140
Thus you will need 140 feet to cover the backyard
Hope this helps!
Answer:
140 ft
Step-by-step explanation:
Perimeter = 2(l+w)
Perimeter = 2(30+40)
Perimeter = 2(70)
Perimeter = 140
Can someone plz help Me? :(
Answers
the greatest common factor of 48 and 60 is D.) 12
Answer:
Answer: D or 12
Step-by-step explanation:
This one is fairly simple.
The Greatest Common Factor is the largest number that can go into both 48 and 60...
What I did is simply took the largest number from the answer choices: which is 12 and then divided 48 and 60 by 12 each. 12 can go into both of these number whole so 12 is your greatest common factor.
Help plz im on a timer at school
Answers
Answer:
it is reduction so the answer is B.
Step-by-step explanation:
A food production company is choosing between two suppliers of grain. Supplier A sells grain for $5.25 per bushel plus a
delivery fee of $3 per bushel Supplier B sells the grain for $6.50 per bushel plus a flat delivery fee of $1,500 each week.
Which supplier would cost more if the production company bought 500 bushels of grain each week?
O Supplier B would cost $625 more than supplier A.
O Supplier B would cost $600 more than supplier A
O Supplier A would cost $875 more than supplier B.
O Supplier A would cost $800 more than supplier B.
Answers
Answer:
Supplier B would cost $625 more than supplier A.
Step-by-step explanation:
What is the equation of the line that passes through the point (-4,-3)(−4,−3) and has a slope of \frac{3}{4}
Answers
Answer:
y = 3/4x
Step-by-step explanation:
Given:
x1 = -4
y1 = -3
slope (m) = 3/4
Solution:
y - y1 = m ( x - x1 )
y - (-3) = 3/4 ( x - (-4) )
y + 3 = 3/4 ( x + 4 )
y + 3 = 3/4x + 3
y = 3/4x + 3 - 3
y = 3/4x
PLS HELP WILL MARK YOU BRAINLIEST, NO FAKE ANSWERS!!
Answers
Answer:
1. if x + 5 = 12, then x = 7
:Subtraction property of equality
2. If x + y = 20, and y = 5, then x + 5 = 20.
:Substitution property of equality
3. If 2x3 = 11, then 11 = 2x - 3.
:Symmetric property of equality
the picture is there
Answers
Answer:
Step-by-step explanation:
Because CB = 6 cm, we can find CD
Use Triangle CDB.
<BCD = <BCA - <ACD
<BCD = ?
<BCA = 90
<ACD = 60
<BCD = 90 - 60
<BCD = 30
Cos 30 = CD / CB
CD = Cos(30) * BC
CD = 5.196 cm
<A = 90 - ACD
<ACD = 60
<A = 90 - 60
<A = 30
Sin(<A) = CB / AB
AB = CB / sin(<A)
AB = 6 / 0.5
AB = 12
Area =1/2 CD * AB
Area = 1/2 * 5.196 * 12
Area = 31.18
Jan took her brother out to dinner. The cost of Jan’s dinner was $18.50. The cost of her brother’s dinner was $19.00. If they want to add a 15% tip for the waitress, what will be the total bill?
Answers
The total bill that would be paid by Jan is equal to $43.125.
Given the following data:
Cost of Jan’s dinner = $18.50.Cost of brother’s dinner = $19.00.Tip = 15%To determine the total bill that would be paid by Jan:
First of all, we would calculate the total cost of their dinner as follows:
[tex]Total\;cost = 18.50 + 19.00[/tex]
Total cost = $37.50
Next, we would calculate the tip cost for the total cost of their dinner:
[tex]Tip\;cost = \frac{15}{100} \times 37.5\\\\Tip\;cost =0.15\times 37.5[/tex]
Tip cost = $5.625
For the total bill:
[tex]Total\;bill = Total\;cost + Tip\;cost\\\\Total\;bill = 37.5 + 5.625[/tex]
Total bill = $43.125.
Read more: https://brainly.com/question/11285399