Given:
Point A (4, -3) is translated 3 units horizontally and -5 units vertically, rotated 90° clockwise, reflected over the x-axis, and dilated by a factor of 5.
To find:
The rule and coordinates of A'.
Solution:
Let a point be P(x,y).
If a point translated 3 units horizontally and -5 units vertically, then
[tex]P(x,y)\to P_1(x+3,y-5)[/tex]
Then, rotated 90° clockwise.
[tex](x,y)\to (y,-x)[/tex]
[tex]P_1(x+3,y-5)\to P_2(y-5,-(x+3))[/tex]
Then, reflected over the x-axis.
[tex](x,y)\to (x,-y)[/tex]
[tex]P_2(y-5,-(x+3))\to P_3(y-5,x+3)[/tex]
Dilated by a factor of 5.
[tex](x,y)\to (5x,5y)[/tex]
[tex]P_3(y-5,x+3)\to P'(5(y-5),5(x+3))[/tex]
[tex]P_3(y-5,x+3)\to P'(5y-25,5x+15)[/tex]
So, the rule of transformation is
[tex](x,y)\to (5y-25,5x+15)[/tex]
We have a point A(4,-3). So, put x=4 and y=-3.
[tex]A(x,y)\to A'(5(-3)-25,5(4)+15)[/tex]
[tex]A(x,y)\to A'(-15-25,20+15)[/tex]
[tex]A(x,y)\to A'(-40,35)[/tex]
Therefore, the coordinate of point A' are (-40,35).
Abba grew 1 foot over the past year . He is now 5 feet tall. Draw a bar model to compare abba's previous height to the amount he grew over the past year
Answer:
Please find attached the bar model that shows the comparison between Abba's previous height to the height by which Abba grew over the past year
Step-by-step explanation:
A bar model, in mathematics, is defined as a graphic depiction of a given quantity represented by numbers presented in a rectangular box or bar form that is then applied in finding numerical relationship solutions
The height by which Abba grew over the past 1 year = 1 ft.
Abba's current height = 5 feet
Therefore, Abba's initial height = 5 feet - 1 foot = 4 feet
Please find attached the bar model that compares Abba's previous height to the height Abba grew over the past year created with Microsoft Visio
A kite is flying 40 feet above a stop sign. The child flying the kite is standing 30 feet feet away from the stop sign. How long is the string from the child to the kite?
Answer:
70 feet
Step-by-step explanation:
A kite is flying 30 feet from a stop sign
The child flying the kite is standing 40 feet from the stop sign
Therefore the length of the string from the child to the kite can be calculated as follows.
= 30 feet + 40 feet
= 70 feet
Answer:
50 feet
Step-by-step explanation:
It's supposed to be 30x30= 900, 40x40= 1'600
900+1600=2500. 2500 square rooted= 50
the answer is 50
so sorry to say but ritmeks you're wrong, you don't add them together you multiply them by themselves then add both together then you square root the answer you get from that
HELLOOOO WHY IS NOBODY ANSWERING COULD SOMEONE ANSWER MY QUESTION I. REALLY. NEED. HELP!?!sorry if im annoying but I need help... Determine how many x-intercepts the quadratic function in the graph has and identify the intercept points.
Answer:
Its C
Step-by-step explanation:
the line crosses the x axis twice at the 2,0 point and the 6,0 point
this is a sat practice. need help
Answer:
The answer is A) -1 + 12i
Step-by-step explanation:
(7 + 3i) + (-8 + 9i)
(7 - 8) + (3 + 9)i
7 - 8 = - 1
3 + 9 = 12
- 1 + 12
Simplify: (6-91)-(2-31)
Answer:
-56
Step-by-step explanation:
6-91=
-85
2-31=
-29
-85--29=
-56
Answer:
-56
Step-by-step explanation:
I NEED HEP ASAP!?!! , someone pls help me.
Answer:
srry this aint no 5 point question Ma'am (absolutely no hardfeelings :D)
Step-by-step explanation:
Somebody solve this plzz
Answer:
Not a function
Step-by-step explanation:
If you use the line/ pencil test ***I think that's what it's called...
you put a pencil flat on the graph and if it touches more than one point, it is not a function. This only works with some graphs.But it works with this one.
ABCDE is a regular pentagon
Please help I’ll give brainliest
Answer:
108 degrees
36 degrees
72 degrees
trapezoid
Step-by-step explanation:
After subtracting 2x from each side, the resulting equation is shown below:
2x+4y=8
4y=-2x+8
the final step to solve for y would be to what?
Gianna wants to buy holiday presents for her family. At the holiday sale, every ornament is $3 and every stocking is $8. Although there will be 24 people at holiday dinner, she wants to buy more just in case someone brings a guest. She has allotted $200 for gifts. Write a system of linear inequalities to represent the situation
9514 1404 393
Answer:
o + s > 243o +8s ≤ 200Step-by-step explanation:
Let o and s represent the numbers of ornaments and stockings, respectively.
o + s > 24 . . . . . . the total of gifts is more than 24
3o +8s ≤ 200 . . . the maximum budget is $200
At a local dealership, the base price of a car is $24,300. Adding air conditioning costs an extra $725. Upgrading to a leather interior costs an extra $1,225, and installing four heated seats costs $945. Round each cost to the nearest thousand and then estimate the total cost of the car, including the additional features. A. $26,000 B. $27,000 C. $28,000 D. $29,000
Answer:
B. $27,000
Step-by-step explanation:
Given that:
The base price of a car = $24300
The air conditioning costs = $725
The leather interior costs = $1225
Installation of four heated seats cost = $945
if we round each entity of item purchased to the nearest thousand, Then:
The base price of a car ≅ $24000
The air conditioning costs ≅ $1000
The leather interior costs ≅ $1000
Installation of four heated seats cost ≅ $1000
So, the total estimate = 24000 + 1000 + 1000 + 1000 = $27000
= $27000 to the nearest thousands
Can somebody plz help answer these questions CORRECTLY thanks!!
(Only if u know how to do it)
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDD
Answer:
a)72% b)75%
Step-by-step explanation:
I’m not really sure bout a. If it changed to 50, I kept the amount she answered correct but out of 50-(36/50) to get the percent. b) is the 36 she got correct out of the 48 she tried to do-36/48 x 100
if a square has an area of 81mi whats it exact side length
Answer:
9
Step-by-step explanation:
Answer it guys pls idk how... you can also show the steps. For those who answer it all correctly I will give the brainliest answer
Answer:
essentially, in these problems, youre finding the square root of each number. the square root should be a decimal thats in between two other numbers, and those will be the integers that the value of the square root is between. unless the value is exactly a number and a half, it will be closer to one integer than the other. the work is below.
square root of:
59= 7.68
68= 8.246
78= 8.83
93= 9.64
104= 10.198
124= 11.14
33= 5.74
185= 13.6
215= 14.66
these are just the square roots. but, as you can see, each number is between two other whole numbers on a number line. So, just write down what those numbers are.
7.68 is between 7 and 8
8.246 is between 8 and 9
8.83 is between 8 and 9
9.64 is between 9 and 10
10.198 is between 10 and 11
11.14 is between 11 and 12
5.74 is between 5 and 6
13.6 is between 13 and 14
14.66 is between 14 and 15
so, we know thw numbers that each decimal is between, but we have to find which one each is cloest to. in order to do that, just know that if the decimal is more than .5 its closer to the larger number, and its its less than .5, its closer to thw smaller number.
7.68 is closer to 8
8.246 is closer to 8
8.83 is closer to 9
9.64 is closer to 10
10.198 is closer to 10
11.14 is closer to 11
5.74 is closer to 6
13.6 is closer to 14
14.66 is closer to 15
ten divided by three
Answer:
3.333333
Step-by-step explanation:
thats what it is my guy
Yay someone help me I’ll mark brainlest if ya as ser first!
Answer:
Least to greatest is 81/10, 8 1/9, 8.115 and 9.95
Step-by-step explanation:
What is a formula for the nth term of the given sequence? 54, -36, 24...
Answer :
an = a1 + (n-1) d
an = 54 + (9-1) -90
an = 54 + (8) - 90
an = 54 - 720
an = - 666
The United States government used to make coins of many different values
cont
3 cents
20 cents
$2
$5
For each coin, state its worth as a percentage of $1.
Type the answers in the boxes below.
1. cent
50
2. 3 cents
3
3. 20 cents
4. $2
Answer:
The answer is 3
Step-by-step explanation:
2
7 pencils cost £4.55.
How much do 3 pencils cost?
Answer:
1.95
Step-by-step explanation:
4.55/7=65
65 cents for 1
65x3=1.95
Brainliest?
Expand these expressions.
−(−x − 7)
It is an unlike term
Step-by-step explanation:
hope this helps you
Which ordered pair is in the solution set of y>1/3x + 4? (this > is actually greater than or equal too)
a.(-6, 1)
b.(-1,6)
c.(6,-1)
d.(1,-6)
Answer:
looking for it
Step-by-step explanation:
Answer:
-1,6
Step-by-step explanation:
please answer will mark brainlyist
Answer:
A. I
B.R
C.R
D.R
E.I
Step-by-step explanation:
I= Irrational
R=Rational
Answer:
1) irrational
2) rational
3) rational
4) rational
5) irrational
Step-by-step explanation:
hope this helps!
if its right, plz mark me brainliest!
A. (3,-2)
B. (2,3)
C. (4,1)
D. (-1,4)
show a graph for -12x-3y=36
Answer:
Here!!
Step-by-step explanation:
Hope this helped!!! have a good day :D
The perimeter of a rectangle is 100 and its length is x. What expression represents the width of the
rectangle?
Drake is considering buying one of the four popular e-readers where the e-reader's premium services is a monthly charge. The functions LaTeX: A_1\left(t\right)=\:5t+350,\:\:\:A_2\left(t\right)=10t+250,\:\:\:\:\:A_3\left(t\right)=499,\:and\:\:\:\:\:\:A_4\left(t\right)=15t+179A 1 ( t ) = 5 t + 350 , A 2 ( t ) = 10 t + 250 , A 3 ( t ) = 499 , a n d A 4 ( t ) = 15 t + 179 model the total amount of money A, in dollars, that Drake spends after buying the e-reader and subscribing to t months of the e-reader's premium services. Which e-reader has the greatest monthly subscription cost?
Answer:
[tex]A_4[/tex]
Step-by-step explanation:
The cost of the e-readers and the subscription of their services are
[tex]A_1(t)=5t+350[/tex]
[tex]A_2(t)=10t+250[/tex]
[tex]A_3(t)=499[/tex]
[tex]A_4(t)=15t+179[/tex]
The functions are of the form
[tex]A(t)=mt+c[/tex]
Where [tex]m[/tex] is the monthly subscription cost and [tex]c[/tex] is the cost of the e-reader.
So, 15 dollars is the highest subscription cost which is of the 4th e-reader.
Hence [tex]A_4[/tex] has the highest subscription cost.
There are eight slices in a pizza. If Jamal eats two slices, what is the ratio of the number of slices remaining to the number Jamal has eaten
Answer:
6:2
Step-by-step explanation:
If Jamal ate 2 slices, that means there are 6 slices left, and now make a ratio with the slices he ate with the ones remaining. Hope this helps
Answer:
6/2 or 3/1
Step-by-step explanation:
If Jamal ate 2 slices, then there must be 6 remaining.
That is the numerator in our ratio.
We know that Jamal has eaten 2 slices, so our denominator is 2.
We get:
6/2 or 3/1
Hope this helps! :)
Given parallelogram ABCD with mZBAD = 83° and m2 CBA = (9x + 7), 1 point
find the value of x.
Answer:
x is 10
Step-by-step explanation:
For a parallelogram, the sum of adjacent angles equals 180 degrees. Based on the given shape, mZBAD and <CBA are adjacent to each other
Hence mZBAD + mZCBA = 180
83 + 9x + 7 = 180
90 + 9x = 180
9x = 180-90
9x = 90
x = 90/9
x = 10
Hence the value of x is 10
What is a equivalent fraction to 8/15 using the denominator 15
Answer:
15/22
Step-by-step explanation:
Suppose that among the 6,000 students at a high school, 1,500 are taking honors courses and 1,800 prefer watching basketball to watching football. If 450 students are both taking honors courses and prefer basketball to football, are the events "taking honors courses" and "preferring basketball" independent? No, because StartFraction 1500 Over 6000 EndFraction not-equals StartFraction 1800 Over 6000 EndFraction Yes, because StartFraction 450 Over 1500 EndFraction not-equals StartFraction 450 Over 1800 EndFraction No, because (1,500)(1,800) ≠ 450. Yes, because (StartFraction 1500 Over 6000 EndFraction) (StartFraction 1800 Over 6000 EndFraction) = StartFraction 450 Over 6000 EndFraction.
Given:
Total students = 6,000
Students taking honors courses = 1,500
Students preferring basketball = 1,800
Students in both = 450
To find:
Whether the two events "taking honors courses" and "preferring basketball" are independent or not?
Solution:
Let as consider the following events.
A : Taking honors courses
B : Preferring basketball
[tex]A\cap B[/tex] : Both
We know that,
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
Using this formula, we get
[tex]P(A)=\dfrac{1500}{6000}=0.25[/tex]
[tex]P(B)=\dfrac{1800}{6000}=0.30[/tex]
[tex]P(A\cap B)=\dfrac{450}{6000}=0.075[/tex]
Two evens are independent if
[tex]P(E_1\cap E_2)P(E_1)\cdot P(E_2)[/tex]
Now,
[tex]P(A)\cdot P(B)=0.25\times 0.30[/tex]
[tex]P(A)\cdot P(B)=0.075[/tex]
[tex]P(A)\cdot P(B)=P(A\cap B)[/tex]
So, the events A and B are intendent because
[tex](\dfrac{1500}{6000})(\dfrac{1800}{6000})=\dfrac{450}{6000}[/tex]
Therefore, the correct option is D.