Answers
Given:
The given figure is dilated by a scale factor 1.5.
To find:
The coordinates of B' and C'.
Solution:
If a figure is dilated by a scale factor k at point (a,b), so the rule of transformation is
[tex](x,y)\to (k(x-a)+a,k(x-b)+b)[/tex]
From the given figure it is clear that A(3,-3), B(-2,2) and C(-3,-5).
The figure is dilated by a scale factor 1.5 at point A(3,-3), so the rule of transformation is
[tex](x,y)\to (1.5(x-3)+3,1.5(x-(-3))+(-3))[/tex]
[tex](x,y)\to (1.5(x-3)+3,1.5(x+3)+(-3))[/tex]
[tex](x,y)\to (1.5(x)-4.5+3,1.5(x)+4.5-3)[/tex]
[tex](x,y)\to (1.5x-1.5,1.5x+1.5)[/tex]
Using this rule, we get
[tex]B(-2,2)\to B'(1.5(-2)-1.5,1.5(2)+1.5)[/tex]
[tex]B(-2,2)\to B'(-3-1.5,3+1.5)[/tex]
[tex]B(-2,2)\to B'(-4.5,4.5)[/tex]
And
[tex]C(-3,-5)\to C'(1.5(-3)-1.5,1.5(-5)+1.5)[/tex]
[tex]C(-2,2)\to C'(-4.5-1.5,-7.5+1.5)[/tex]
[tex]C(-2,2)\to C'(-6,-6)[/tex]
Therefore, the coordinates of B' and C' are B(-4.5,4.5) and C'(-6,-6).
Related Questions
There are 6 blue markers, 4 red
markers and 5 green markers. What
is the ratio of blue to total markers?
Answers
Answer:
9 is the answer to that question
When the sum of a number, n, and 6 is divided by 4 the
result is equal to 5. Set up and solve an equation to find
the value of n.
Answers
Answer:
n = 14
Step-by-step explanation:
(n + 6)4 = 5
1. multiply by 4
n + 6 = 20
2. substract 6
n = 14
The required value of n is 14 in the given sum.
What is algebra?Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.
We have been given that the sum of a number, n, and 6 is divided by 4 the result is equal to 5.
According to the given question, we can write the algebraic form would be as:
⇒ (n + 6)/4 = 5
Apply the cross-multiplication operation,
⇒ (n + 6) = 5 × 4
Apply the multiplication operation,
⇒ (n + 6) = 20
⇒ n = 20 - 6
Apply the subtraction operation,
⇒ n = 14
Therefore, the required value of n is 14.
To learn more about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
The math teacher gives each student a map of the amusement park that uses a coordinate plane. The meeting location is at (0, 0) on the map. Each unit is 100 feet. The first ride that you want to try is located at the coordinates (0, 4). The next ride is located at (3, 0). If you walked in a straight line from the first ride to the second ride, how many feet would you travel?
Answers
Answer:
500 ft
Step-by-step explanation:
use this formula
The actual distance between first and second ride is 500 ft.
What is Distance Formula?The distance between two point P(a, b) and Q(c, d).
so, the distance PQ = √(c-a)² + (d- b)²
Given:
Starting point = (0,0)
First ride = (0,4)
Second ride = (3,0)
In map, each unit = 100 ft
Using the distance formula
d = √( 3-0)² + (0-4)²
d = √9+ 16
d= √25
d = 5 units
So, the distance between first ride and second ride in the map is 5 units.
and,1 units = 100 ft
5 units = 500 ft
Hence, the actual distance between first and second ride is 500 ft.
Learn more about distance formula here:
https://brainly.com/question/28956738
#SPJ6
PLEASE HELP WILL MARK BRAINLIEST Question 8
Which pair of equations show below would have infinite solutions?
Answer
A Y = -2 + 8
y = 4x - 7
B y = x - 4
y = 3x - 2
C) x
x – 3y = -3
x – 3y = 6
D 3x +y = 3
6x + 2y = 6
Answers
Answer:
Step-by-step explanation:
a)y=-2x+8
y=4x-7
solution
b)y=x-4
y=3x-2
solution
c)x – 3y = -3
x – 3y = 6
no solution
d)3x +y = 3
6x + 2y = 6
infinite.
Answer: D
Step-by-step explanation:
I need help and D. Is x>-25
Answers
Answer:
x>50
Step-by-step explanation:
Answer:
x < 25
Step-by-step explanation:
Given
- 2x > - 50
Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity
x < 25
6 + 3(x + 4)
PLEASE HELP!!!! I will give brainliest
Answers
3x+18
Step-by-step explanation:
Answer:
3x+18
Step-by-step explanation:
Is the answer
answer
Order from least to greatest, (15 points) and brainy award.
Answers
Answer:
pi/2 ... 2pi -square root 9..... and then pi +3
Step-by-step explanation:
pretty much the opposite of what it is now
Please help me with 7
Answers
Answer:
Third choice, 7/25
Step-by-step explanation:
14 + 11 + 10 + 15 = 25 + 25 = 50, they also already stated this in the question so u don't have to calculate this
14 out of 50 students voted for nicholas, so it's a 14/50 chance, simplified would be 7/25
toni can carry up to 15 lbs in her backpack. her lunch weights 1 lb, her gym clothes weight 2 lb, and her books (b) weight 3 lb each. How many books can she carry in her backpack?
Answers
Answer:
4 books
Step-by-step explanation:
15-3=12
12/3=4
Answer this question quickly plz
Answers
Answer:
a.
1 quarter=0.25
240*0.25=60
again,
b.349/60=5.81 weak
Answer:
Step-by-step explanation:
a) he saves £60 per week
b) 60 x 6= 360
he needs to save £60 for 6 weeks to have enough money to buy a bike
Gabriel was given a gift card for a coffee shop. Each morning, Gabriel uses the card to
buy one cup of coffee. Each cup of coffee costs $4 and the original amount of money
on the gift card was $20. Make a table of values and then write an equation for A, in
terms of x, representing the amount money remaining on the card after buying x
cups of coffee.
Number of Cups of Coffee Amount of Money Remaining on Card
Answer: A =
Answers
Roxanne invests $4.000 into an account that pays 4% simple interest. Roger invests the same amount of money with the same rate, but the
Interest is compounded annually. What will be the difference in Roxanne's and Roger's accounts after five years if no additional amounts are
deposited? Round to the nearest cent.
Answers
Answer:
Step-by-step explanation:
What grade?
Answer:
$67
Step-by-step explanation:
4000 for 4% equal $160/year total in 5 year equal $4800
the other one 4160 1 year, 4327 2 year, 4500 3 year, 4680 4 year, 4867 5 year the difference is $67 more has Roger than Roxanne
What is the oblique asymptote of g(x)= x^2-3x-5/x+2?
Answers
Answer:
excuse me these words are some other language
Answer:
It's y= x-5
Step-by-step explanation:
Perry currently has $238 dollars and is spending $6 per day. Nick has no money but is earning $8 each day. After how many days will they have the same amount of money?
Answers
Answer:
are you sure it is not 180? if it is it is 12.87
but if it is 238 it is 21 days or something close
WILL GIVE A BRAINLIEST
1 fourth as a decimal?
1 fourth as a fraction?
1 fourth as a percent?
3 fourths as a decimal?
3 fourths as a fraction?
3 fourths as a percent?
Answers
Answer:
1/4=0.25
1/4
1/4=25℅
3/4=0.75
3/4
3/4=75℅
Write the ratio
2/3 /5
in simplest form
Answers
Answer:
A) 2/15
Step-by-step explanation:
So just divide it normally, do keep change flip
2/3*1/5
2/3 keep
divison change
Denomeinator, flip it, 5 to 1/5
now multiply
2/15
On a road trip, a family drives 350 miles per day. How many days, d, must they trave
to reach a distance of at least 1400? Write an inequality to represent this
situation.
Answers
Answer:
1400< 350d (its less than or equal to, but i cant put the bar under.
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal cost $78.90 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the cost of the meal?
Answers
Answer:
The 15% discount means that they only pay 100%-15% = 85% of the meal's bill.
This would cost 85% * 78.65.
However, they also have to pay a 20% tip of the meal cost.
This would cost 20% * 78.65.
Step-by-step explanation:
total Cost = (85% * 78.65) + (20% * 78.65)
= 105% * 78.65
= 1.05 * 78.65
= $82.58
Find the equation of the line that passes through the given points. Write the equation in slope-intercept form.
(-2,-4) and (-4,-3)
Answers
Step-by-step explanation:
m=(y1-y)/(x1-x2)
m=(3-(-4))/(-4-(-2))
m=7/-2=-7/2
y=mx+c
y=-7/2x+c
Evaluate each expression
|30-5|-|-7|
Answers
Answer:
18
Step-by-step explanation:
|30 - 5| - |-7| = 18
Can someone help me with this problem?
Answers
Explanation:
The 2 polygons are similar
So 25/30 = 25.5/30.6 = 5/6 or 5:6
3. Jackson answered 80o of the questions on his Science test correctly. Colton scored 10
out of 12. Who scored the highest score?
Answers
Answer:
i think they both scored the same
Answer:
Colton did.
Step-by-step explanation:
Jack's score was 80%.
Colton got a score of 83.33...
I got Colton's score by solving 10/12.
You and your friend join a new gym that requires a one-time joining fee and monthly payments. Your friend chooses the 1 year plan and pays $687, while you elect the 18 month contract which costs $981. Use this information to determine the linear model used to calculate cost from months of membership.
Answers
Answer:
C = 99 + 49m
x = $99
y = $49
Step-by-step explanation:
Let
x = one time joining fee
y = monthly payment
Your friend:
1 year = 12 months
x + 12y = $687
You:
x + 18y = $981
x + 12y = 687 (1)
x + 18y = 981 (2)
Subtract (1) from (2)
18y - 12y = 981 - 687
6y = 294
Divide both sides by 6
y = 294 /6
= 49
x = $49
Substitute y = 49 into
x + 12y = 687
x + 12(49) = 687
x + 588 = 687
x = 687 - 588
= 99
x = $99
C = 99 + 49m
Where,
C = total charges
m = number of months
99 = a one time joining fee
49 = charges per month
Help please!!
Lisa traveled 140 miles on 2/5 of a tank of gas. At this rate, how far can she travel on one tank of gas?
Answers
Answer:
350miles
Step-by-step explanation:
If DF=61 and EF=18, find DE.
Answers
what is x in 4x²-12x+ 9 = 0
Answers
Answer: x = √9/8
answer is x = square root of 9/8
Step-by-step explanation:
Any help here please I don’t understand these math problems.
Answers
m= 5/1
3. b= 2
m= 2/3
4. B= 5
m= -3/1
for the second one you can make the -5 a +-5
Can someone tell me the answer to this 20 points
Answers
Answer:
B
Step-by-step explanation:
Michael puts $800 into a savings account. The account earns 2% simple interest. How much interest will he earn in 6 months?
Answers
Answer:
he earned 8 dollars in interest
Step-by-step explanation:
800(1+(.02)(.5))
hopefully im correct
Max has a drawer full of green and red socks. He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks. Half the number of green socks plus one-third of the number of red socks is 36. How many of each colour does he have?
Answers
Answer:
There are 42 red colour socks and 44 green color socks
Step-by-step explanation:
Let there are r red socks and g green socks.
ATQ,
He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks.
4g-3r=50 ....(1)
Half the number of green socks plus one-third of the number of red socks is 36.
[tex]\dfrac{g}{2}+\dfrac{r}{3}=36\\\\3g+2r=216\ .....(2)[/tex]
Multiply equation (1) by 2 and equation (2) by 3.
8g-6r = 100 ....(3)
9g +6r = 648 ....(4)
Add equation (3) and (4)
8g-6r + 9g +6r = 100+648
17g = 748
g = 44
Put the value of g in equation (1).
4(44)-3r=50
176-3r = 50
176-50 = 3r
r = 42
Hence, there are 42 red colour socks and 44 green color socks.