What is the rule for the transformation from triangle EFG to triangle E'F'G'?
Answers
Answer:
The rule of the transformation is 6 units up and 3 units to the right [tex]T_{(3, \ 6)}[/tex] and an horizontal dilation of 2 as well as a vertical dilation of 4.
Step-by-step explanation:
The given coordinates of EFG and E'F'G' from the chart are;
E(3, 2)
F(9, 5)
G(9, 2)
E'(6, 8)
F'(18, 20)
G'(18, 8)
Therefore, we have, given that the y-coordinates of E and G are the same, the length of segment EG = 9 - 3 = 6 units
Similarly, given that the x-coordinates of F and G are the same, the length of segment FG = 5 - 2 = 3 units
The length of segment FE = [tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex] which gives;
Length from E(3, 2) to F(9, 5) = [tex]l = \sqrt{\left (5-2 \right )^{2}+\left (9-3 \right )^{2}} = 3 \cdot \sqrt{5}[/tex]
For similarly oriented E'F'G', we have;
E'G' = 18 - 6 = 12
F'G' = 20 - 8 = 12
E'F' = 12·√2
Therefore, the transformation is 6 units up and 3 units to the right and an horizontal dilation of 2 as well as a vertical dilation of 4.
Related Questions
I WILL MARK BRAINLIEST!f(x)=x/x-7
Determine for each x-value whether it is in the domain of f or not
Answers
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = [tex]\frac{x}{x-7}[/tex]
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be.
solve
x - 7 = 0 ⇒ x = 7 ← excluded value
Thus
x = - 7 → in domain
x = 0 → in domain
x = 7 → not in domain
Answer:
-7= in domain
0= in domain
7= not in domain
Step-by-step explanation:
give the other person brainliest not me! they did really good!!!!
A county fair sold 1,750 tickets, each of which was either an adult or children's ticket, and earned a total of \$27,000. The fair earned 25\% more from adult tickets than from children's tickets, but sold 25\% fewer adult tickets than children's tickets. How much did a children's ticket cost
Answers
Answer:
Step-by-step explanation:
Let the number children tickets = c
Number of adult tickets = 75% of c = 0.75c
c + 0.75c = 1750
1.75c = 1750
c = 1750/1.75 = 1000
Number of children = 1000
Number of adults = 75% of 1000 = 750
Cost of adult ticket = $ x
Cost of child ticket = 75% of x = 0.75x
Cost of 750 adult ticket = 750x
Cost of 1000 children ticket = 1000 * 0.75x = 750x
750x + 750x = 27000
1500x = 27000
x = 27000/1500
x = $ 18
Cost of adult ticket = $ 18
Cost of children ticket = 75% of 18 = 0.75 * 18 = $ 13.5
Cost of children's ticket = $ 13.50
Observe how the land division was planned for the preparation of a vegetable garden.
In it, lettuce, tomatoes, carrots, beets and corn will be planted.
Determine the monomial that represents the measure:
1-lettuce
2-beets
3-tomato
4-corn
5-carrot
Answers
Answer:
1-lettuce 4ab x 12ab = 48a²b²
2-beets 3ab x 3ab = 9a²b²
3-tomato 4ab x 5ab = 20a²b²
4-corn 2ab x 3ab = 6a²b²
5-carrot 12ab x 3ab = 36a²b²
Step-by-step explanation:
You roll a cube which has the numbers 9, 10, 12, 15, 17, and 18 on it You then spin a spinner which has 4 sections. The letters on the spinner are H, K, F, and A. P(F and 17)
Answers
Answer:
Step-by-step explanation:
The fact that the numbers look random and the spinner also looks random doesn't matter. The only thing of importance in both cases is that all the numbers are different (and cannot be made by adding any two together) and all the letters are different
That means you have 6 numbers and 4 letters.
You have a 1/6 chance of throwing the 17
You have a 1/4 chance of spinning the F
P(F and 17) = 1/6 * 1/4 = 1/24
The roots of $x^2+8x+4$ are the same as the roots of $Ax^2+Bx+1$. What is $A+B$?[tex]The roots of $x^2+8x+4$ are the same as the roots of $Ax^2+Bx+1$. What is $A+B$?[/tex]
Answers
Answer:
4.5
Step-by-step explanation:
Hello, please consider the following.
First of all, let's assume that A is different from 0.
[tex]x^2+8x+4\\\\\text{It means that the sum of the zeroes is -8 and the product is 4}\\\\Ax^2+Bx+1=A(x^2+\dfrac{B}{A}x+\dfrac{1}{A})\\\\\text{So the sum of the zeroes is } -\dfrac{B}{A} \text{ and the product is }\dfrac{1}{A}\\\\\text{It comes.}\\\\-\dfrac{B}{A}=-8 <=> \dfrac{B}{A}=8\\\\\dfrac{1}{A}=4[/tex]
So,
[tex]A=\dfrac{1}{4}\\\\B=\dfrac{8}{4}=2\\\\A+B=\dfrac{1+8}{2}=\dfrac{9}{2}=4.5[/tex]
Thank you.
Which of the following is most likely missing from your financial plan if you are not prepared for an emergency?
a financing
b. a budget
c. investments
d. savings
Answers
Answer: d. savings
Step-by-step explanation:
First, what is an emergency?
Well, it depends on the situation, but suppose that you have a store where you sell edibles.
Some of these edibles may need to be stored in fridges, now suppose that one of the fridges breaks. That is an emergency, now you need to replace it the faster you can. In this point, you need to use savings specially prepared for situations like this.
So the correct option is d: savings.
The water level was - 4
feet before rainy season.
After rainy season the
water level was 4 feet.
By how much did the
water level change?
Any help is appreciated!!!
Answers
If two 2x2 matrices are inverses of each other, then multiplying them will result in what matrix below?
Answers
inverse of a matrix A is defined as [tex] AA^{-1}=I[/tex]
where I is the identity matrix of the respective order.
7(2x-7+1 please help
Answers
Answer:
14x-42
Step-by-step explanation:
7(2x-7+1 )
7(2x-6)
14x-42
If 1 and -1 are the zeroes of the polynomial p(x) = ax 3 + x 2 − 2x + b, find the values of a and b
Answers
Answer:
a = 2, b = -1Step-by-step explanation:
p(x) = ax³ + x² - 2x + b
p(1) = a(1)³ + 1² - 2•1 + b = a + 1 - 2 + b = a + b - 1
a + b - 1 = 0 ⇒ b = 1 - a
p(-1) = a(-1)³ + (-1)² - 2(-1) + b = -a + 1 + 2 + b = - a + b + 3
- a + b + 3 = 0 ∧ b = 1 - a
- a + (1 - a) + 3 = 0
- a + 1 - a + 3 = 0
-2a + 4 = 0
-2a = -4
a = 2
b = 1 - 2 = -1
Dawn and Jackson have baseball cards in the ratio of 2:3. Together, they have a total of 60 baseball cards. How many baseball cards does each child have?
Answers
Answer:
24 and 36
Step-by-step explanation:
2x + 3x = 60
5x = 60
x = 12
Dawn has 2(12) = 24
Jackson has 3(12) = 36
Step-by-step explanation:
To find the number of baseball cards each person received we must first find the total parts
That's
2 + 3 = 5
For Dawn
Dawn's part is 2
We have
2/5 × 60
= 24 baseball cardsFor Jackson
Jackson's part is 3
That's
3/5 × 60
= 36 baseball cardsHope this helps you
factorise [tex]x^{2} - 121[/tex]
Answers
Answer:
(x+11)(x-11)
Step-by-step explanation:
Hello!
We are given the expression x²-121, and we want to factor it
The expression is a difference of squares expression.
The formula for the difference of squares is written as a²-b² can be factored as (a-b)(a+b)
121 is 11 squared, and x² is x squared
So that means that a=x, and b=11 in this case
Now substitute those values into the formula
a²-b²=x²-121=(x+11)(x-11)
Hope this helps!
Answer:
(x-11)(x+11)
Step-by-step explanation:
x^2 -121
x^2 -11^2
This is the difference of squares a^2 - b^2 = (a-b)(a+b)
(x-11)(x+11)
A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table shows the data:
Number of hours of sunlight
(x) 0 1 2 3 4 5 6 7 8 9
Height of plant in cm
(y) 4 7 10 13 16 19 22 25 28 31
Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer. (4 points)
Part B: Write a function that best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate about the plant? (3 points)
Answers
Answer:
Hello,
Step-by-step explanation:
Part A:
Yes
Since
y=f(x)
f(0)=4
f(1)=7 : f(1)=f(0)+1*3
f(2)=10= 7+3 : f(2)=f(1)+3 =f(0)+2*3
f(3)=13=10+3: f(3)=f(2)+3=f(0)+3*3
...
f(9)=31=28+3=f(8)+3=f(0)+9*3
f(n)=f(0)+n*3=4+n*3
Part B: y=3x+4
Part C: slope=3 , y-intercept=4
The slope indicate the grow of the plant (how many cm does it grow in function of the height it receives)
y-intercept indicate the original height of the plant.
DECIDE !!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
[tex]2020x-215y=10000\\\\y=\dfrac{2020x-10000}{215} =\dfrac{404x-2000}{43} =9x-46+\dfrac{17x-22}{43} \\\\\\17x-22\ must\ be\ divisible\ by\ 43\\\\\Longrightarrow\ x=19+43*k[ method \ of\ Gauss\ or\ theorem\ of\ Bezout)\\\\\\min(x+y)=min(10*(19+43*k)-46+\dfrac{17(19+43k)-22}{43} )\\=min(151+447k)\\\\is\ min\ if\ k=0\\\\x=19\\y=9*19-46+\dfrac{17*19-22}{43} =171-46+7=132\\\\x+y=151\\[/tex]
Jasper’s new copier can produce a copy every 0.57 seconds. Jasper calculates that it will take 6.57 seconds to produce 6 copies.
What error did Jasper make?
He placed the decimal point incorrectly after he multiplied.
He multiplied the time to produce one copy by 6 instead of 12.
He added 6 and 0.57 instead of multiplying.
He found the time to produce 57 copies instead of 6.
Answers
It takes 0.57 seconds per copy and he made 6 copies.
6 + 0.57 = 6.57
He added 6 and 0.57 instead of multiplying.
The easiest way to figure this out would be to do the problem by ourselves:
0.57 · 6 = 3.42, so it will take about 3.5 seconds.
We can say that Jasper got a way different answer, so it must be something wrong with the way he multiplied. When we look through the answers and we see that rather than multiplying, Jasper added, so our answer is:
He added 6 and 0.57 instead of multiplying.
What is the slope of the line that
passes through these two points?
(0, 2)
(3, 8)
Remember, given two points,
(x1, yı)
Slope
rise (y2-yı)
(X2,92) run (x2-x1)
Simplify your answer completely.
Enter
Answers
Answer:
2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
m = ( 8-2)/(3-0)
= 6/3
= 2
Answer:
2
Brainliest, please!
Step-by-step explanation:
(0, 2)(3, 8)
y = +6
x = +3
y/x = 6/3 = 2
[tex]4 - \frac{2}{3}x = \frac{x - 6}{5} [/tex]
x=? Please tell
Answers
Answer: X=6
a number with 2 consecutive natural digits, how many units will it increase if written in reverse order. Detail solution pls
Answers
Answer:
It will increase by 9 units.
Step-by-step explanation:
We can write the lowest number as 10a + (a + 1) and the highest is the reverse which is 10(a + 1) + a.
Subtracting:
10(a + 1) + a - (10a + a +1)
= 10a + 10 + a - 10a - a - 1
= 10a - 10a + a - a + 10 - 1
= 10 - 1
= 9.
PLS HELP BRAINLIST A RHANK YOU AND 5 STARS
Answers
Answer:
Hey there!
x=95
This is because x and the angle of 95 degrees are vertical angles, and vertical angles are congruent to each other.
Let me know if this helps :)
please help asap it's important!!!
Answers
Answer:
486cm^2
Step-by-step explanation:
Surface area of cube = (6a^2)
6×9×9=486.
a box of 15 cookies costs 9$ what is the price of 1 coockie
Answers
Answer:0.60$
Step-by-step explanation:
15=9$
1=0.60$
Answer:
60 cents
Step-by-step explanation:
in the expretion7to the third power-4*3+8 the firstt operation is
Answers
Answer:
7³
Step-by-step explanation:
Using PEMDAS, we see that E (which stands for exponents) comes before M (which stands for multiplication) and A (which stands for addition) so the first operation you should do is 7³.
The sum of two numbers is 83 if one of the number is 7 more than the other find the two numbers?
Answers
Answer:
48.5 and 34.5
Step-by-step explanation:
83 divided by 2 and then subtract 7
Answer:
45 and 38 equal 83 and 45 is 7 more than 38
Which fractions are equal to 0.375? Select all that apply. A.) 375/1000 B.) 75/200 C.) 15/4 D.) 3/8 E.) 375/100
Answers
Answer:
A.) 375/1000, B) 75/200, D.) 3/8
Step-by-step explanation:
A number can be represented in many forms depending on the situation, it can be represented in form of ratio, decimals, fraction e.t.c.
Given the number 0.375 which is in its decimal form, this number can also be represented in the form of a fraction.
[tex]a)0.375=\frac{0.375}{1} \\ \\multiplying\ by\ \frac{1000}{1000}\ gives:\\\\\frac{0.375}{1}*\frac{1000}{1000}= \frac{375}{1000}\\\\ b) 0.375=\frac{0.375}{1} \\ \\multiplying\ by\ \frac{1000}{1000}\ gives:\\\\\frac{0.375}{1}*\frac{1000}{1000}= \frac{375}{1000}=\frac{5(75)}{5(200)} =\frac{75}{200} \\\\d) 0.375=\frac{0.375}{1} \\ \\multiplying\ by\ \frac{1000}{1000}\ gives:\\\\\frac{0.375}{1}*\frac{1000}{1000}= \frac{375}{1000}=\frac{125(3)}{125(8)}=\frac{3}{8} \\[/tex]
solving polynomial(2x+8)(-3y-8)
Answers
Answer:
-6xy - 16x -24y -64
Step-by-step explanation:
(2x+8)(-3y-8) =
To find the answer,
First multiply, the first number on both sides,
2x * -3y = -6xy
Then the first number on the left side and the second number on the right side,
2x * -8 = -16x
Then the second number on the left side and the first number on the right side,
8 * -3y = -24y
Then the second number on the left side and the second number on the right side,
8 * -8 = -64
Now add all the answers,
-6xy -16x -24y -64
Answer:
-6xy-16x-24y-64
Step-by-step explanation:
(2x+8)(-3y-8)
Foil
First 2x*-3y = -6xy
outer -8*2x = -16x
inner -3y *8 = -24y
last -8*8 = -64
Add them together
-6xy-16x-24y-64
SOMEONE HELP PLEASE. Kylie is raising money for a school trip by selling packs of cookies and bags of chips. The price of each pack of cookies is $1 and the price of each bag of chips is $2. Yesterday Kylie made $42 and she sold 3 times as many bags of chips as packs of cookies. Graphically solve a system of equations in order to determine the number of packs of cookies sold, x, and the number of bags of chips sold, y.
Answers
Answer:
cookies (x): 6 soldchips (y): 18 soldStep-by-step explanation:
It is convenient to let a graphing calculator draw the graph for you. It can also display the solution: (x, y) = (6, 18).
__
The equations of interest are ...
x + 2y = 42 . . . . . . revenue from sale of x cookies and y chips
y = 3x . . . . . . . . . . 3 times as many chips as cookies
Answer:
\underline{\text{Variable Definitions:}}
Variable Definitions:
x=
x=
\,\,\text{the number of packs of cookies sold}
the number of packs of cookies sold
y=
y=
\,\,\text{the number of bags of chips sold}
the number of bags of chips sold
Each pack of cookies sells for $1, so xx packs of cookies will bring in 1x1x dollars. Each bag of chips sells for $2, so yy bags of chips will bring in 2y2y dollars. Therefore, the total amount 1x+2y1x+2y equals \$42:$42:
1x+2y=42
1x+2y=42
Since Kylie sold 3 times as many bags of chips as packs of cookies, she sold more bags of chips, so if we multiply 3 by the number of packs of cookies sold, we will get the number of bags of chips sold, meaning yy equals 3x.3x.
y=3x
y=3x
\underline{\text{Write System of Equations:}}
Write System of Equations:
1x+2y=
1x+2y=
\,\,42
42
y=
y=
\,\,3x
3x
\underline{\text{Solve for }y\text{ in each equation:}}
Solve for y in each equation:
\begin{aligned}\color{indianred}{1x}+2y = 42\hspace{10px} & \hspace{10px}\color{green}{y}\color{green}{=}\color{green}{3x} \\[10px] 2y = \color{indianred}{-1x}+42\hspace{10px} & \hspace{10px} & \\[10px] \frac{2y}{2} = \frac{-1x+42}{2}\hspace{10px} & \hspace{10px} & \\[10px] \color{blue}{y} \color{blue}{= -\frac{1}{2}x+21}\hspace{10px}\hspace{10px} & \hspace{10px} & \end{aligned}
1x+2y=42
2y=−1x+42
2
2y
=
2
−1x+42
y=−
2
1
x+21
y=3x
Step-by-step explanation:
X+2/x-2 - x+3/x-1 solve
Answers
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Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]x+\frac{2}{x} -2-x+\frac{3}{x} -1[/tex]
[tex]= \frac{-3x + 5}{x}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
What is the median of this data set? O A) 88 OB) 87 OC) 75 OD) 95
Answers
Answer: B) 87
Step-by-step explanation:
First, order the values from least to greatest:
75, 80, 87, 88, 95
Next, find the value that lies in the middle
75, 80, 87, 88, 95
Therefore, 87 is the median.
Answer:
B: 87
Step-by-step explanation:
Sorry for this very late response. But if anyone wasn't sure if the answer 87 is correct, it is. I can confirm this because I just took the test. I hope I could help! (:
Two times the difference of a number and
nine is thirty-six.
Translate into an equation
Answers
Twice means muliply by 2
The difference of a number and 7 means subtract a number/variable and 7
Is equal to 9 means =9
2(X - 7) = 9
A rectangular school yard has a perimeter of 114 meters and an area of 702 square meters. What are the dimensions of the school yard?
Answers
Reason:
2x+2y=114 (perimeter)
XY=702 (area)
X=18
Y=39