Answers
A) x-axis
Explanation
Step 1
a) get the coordinates of triangle ABC
\(\begin{gathered} A(-4,-2) \\ B(0,-2) \\ C(0,-4) \end{gathered}\)a) dilated by a factor 1/2
A dilation with scale factor k centered at the origin will take each point (x,y) and transform it to
\(P(x,y)\Rightarrow dilation\text{ factor k}\Rightarrow P^{\prime}(kx,ky)\)so
\(\begin{gathered} A(-4,-2)\Rightarrow A^{\prime}=\frac{1}{2}(-4,-2)=A^{\prime}(-2,-1) \\ B(0,-2)\Rightarrow B^{\prime}=\frac{1}{2}(0,-2)=B^{\prime}(0,-1) \\ C(0,-4)\Rightarrow C^{\prime}=\frac{1}{2}(0,-4)=C^{\prime}(0,-2) \end{gathered}\)hence
Step 2
reflected across ?:
The rule for a reflection over the x -axis is (x,y)→(x,−y)
so
\(\begin{gathered} A^{\prime}(-2,-1)\Rightarrow reflected\text{ acrros x-axis}\Rightarrow A^{\prime}^{\prime}(-2,1) \\ B^{\prime}(0,-1)\Rightarrow reflected\text{ acrros x-axis}\Rightarrow B^{\prime\prime}(0,1) \\ C^{\prime}(0,-2)\Rightarrow reflected\text{ acrros x-axis}\Rightarrow C^{\prime\prime}(0.2) \end{gathered}\)hence
so, the first answer is
A) x-axis
Step 3
finally, we see the graph was shifted to the rigth 3 units
to do, that, add 3 to each x-component, so
\(\begin{gathered} A^{\prime\prime}(-2,1)\Rightarrow shifted\text{ 3 to the rigth}\Rightarrow D(-2+3,1)\Rightarrow D(1,1) \\ B^{\prime\prime}(0,1)\Rightarrow shifted\text{ 3 to the rigth}\Rightarrow E(0+3,1)\Rightarrow E(3,1) \\ C^{\prime\prime}(0.2)\Rightarrow shifted\text{ 3 to the rigth}\Rightarrow F(0+3,2)\Rightarrow F(3,2) \end{gathered}\)so, the translation is 3 units to the rigth
\((x,y)\Rightarrow(x+3,y)\)*it seems the correct answer for the translation is not in the answer, so
Green space : A) x-axis
Related Questions
Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answers
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
Help need correct answer ASAP
Two skaters are practicing at the same time on the same rink. A coordinate grid is superimposed on the ice. One skater follows
the path y = - 2x + 14, while the other skater follows the curve y = - 2x^2+ 14x.
Find all the points where they might collide if they
are not careful.
Answers
Answer: To find the points where the two skaters might collide, we need to solve the system of equations:
y = -2x + 14 (Equation 1)
y = -2x^2 + 14x (Equation 2)
We can substitute Equation 1 into Equation 2 to eliminate y and get:
-2x + 14 = -2x^2 + 14x
Simplifying, we get:
2x^2 - 16x + 14 = 0
Dividing both sides by 2, we get:
x^2 - 8x + 7 = 0
This quadratic equation factors as:
(x - 1)(x - 7) = 0
So the possible values of x where the skaters might collide are x = 1 and x = 7.
To find the corresponding y-values, we can plug each value of x into either Equation 1 or Equation 2. For x = 1:
y = -2(1) + 14 = 12 (using Equation 1)
y = -2(1)^2 + 14(1) = 12 (using Equation 2)
So the skaters might collide at the point (1, 12).
For x = 7:
y = -2(7) + 14 = 0 (using Equation 1)
y = -2(7)^2 + 14(7) = 0 (using Equation 2)
So the skaters might collide at the point (7, 0).
Therefore, the two skaters might collide at points (1, 12) and (7, 0).
Step-by-step explanation:
This is for calculus worth 30 points
I need help on question c please help me on it anyone
Answers
The exact slope is impossible to know for sure, because the function is not written out explicitly. (If we did, we could just do dV/dt evaluated at t = 10.)
However, you can estimate the slope at P by finding the average rate of change between t=5 and t=15, or by taking the average of the slopes of the adjacent secants. There are several ways to approximate the answer, but I don’t think you can find its exact value.
PLEASE ANSWER ASAP WILL GIVE BRAINLIEST!!!!!
Based on the graph, which statement is correct about the solution to the system of equations for lines A and B? (15 points)
Answers
Answer:
B
Step-by-step explanation:
we can see that the two lines intersect at the point (1,2)
thus this is the solutions to both lines which is answer B
The point is directly in the intersection of Points A and B
The zero of this function is 3 . What do you think "zero of a function" means?
Answers
The zeros of a function are the values of x that, when evaluated in the function, make the output of the function to be zero.
What doe the "zero of a function" means?A function is written in general form as y = f(x)
That notation says that, when we use the input "x" in a given function, that function "transforms" that input x into an output "y"
So y = f(x) is the value that the function takes for the input x.
A zero is an input of the function such that:
0 = f(x)
So the zeros are the inputs that have an output of zero, in this case you know that the function has a zero at 3, and as you can see, when x = 3, the function intercepts the x-axis, which is the axis defined by y = 0.
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Patty knows that a 45-ounce pitcher can hold enough lemonade for 5 people. At this rate,how many ounces of lemonade will patty need to serve 26 people ?
Answers
Answer:
234 ounces for 26 people
Step-by-step explanation:
45/5 = 9 ounces per person
(9)(26) = 234 ounces for 26 people
6x3 – 5x² + x + 1 divided by x + 2
Answers
QUESTION 23.PLEASE HELP ASAP
Answers
Answer:
None
Step-by-step explanation:
Answer:none
Step-by-step explanation:i know how to do math
ITS DO TODAY HELPPPPPPP
Answers
The difference in the addition of both fractions is that they have different lowest common multiples.
How to solve Fraction Problems?We want to add the fraction expression given as:
¹/₂ + ¹/₄
Taking the Lowest common multiple of 8, we have:
(4 + 2)/8 = 6/8
However, for the second fraction expression, we have:
¹/₂ + ¹/₃
Taking the lowest common multiple which is 6, we have:
(3 + 2)/6 = 5/6
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Use the mapping to determine which of the following are elements of the range.
Name
Amy
Carol
Devon
Harrison
Jackson
Labron
Mason
Natalie
Paul
Sylvester
Birthday
January 5
January 7
February 24
March 1
April 7
May 30
July 20
August 1
November 13
November 26
Answers
Answer:
The elements of the range are the birthdays.
Step-by-step explanation:
A function is a distinct sort of relation in which each element of the domain is combined with precisely one element in the range. A mapping displays how the elements are combined.
A mapping figure comprises of two parallel columns. The 1st column signifies the domain of a function, and the other column for its range.
Lines or arrows are drawn from domain to range, to signify the relation between any two elements.
A function denoted by the mapping, in which each element of the range is combined with accurately one element of the domain is called one-to-one mapping.
From the diagram provided it is clear that the function denoted by the mapping is an one-to-one mapping.
The elements of the range are:
Birthday : {January 5 , January 7 , February 24 , March 1 , April 7 , May 30 , July 20 , August 1 , November 13 , November 26 }
Thus, the elements of the range are the birthdays.
Answer:
Amy
Devon
Labron
Step-by-step explanation:
Which of the following will not cause the demand for product K to change?
A) a change in the price of close-substitute product J
B) an increase in incomes of buyers of product K
C) a change in the price of product K
D) a change in consumer tastes for product K
Answers
12. (05.01 LC) Which pair of angles has congruent values for the sin y* and the cos y/? (1 poirt) O 70°; 160° 0 70°,70° 0 70°,120° © 70°: 20°
Answers
Answer:
70 ; 20
Step-by-step explanation:
they both are 0.93969262078
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A bowling alley charges $32 to play 4 games.What is the cost of each game?
Answers
Answer:
8
Step-by-step explanation:
if you divide 32 by 4 its 8
Answer:
8 dollars a game
Step-by-step explanation:
divide 4 into 32 and you get 8
A random sample of the price of gasoline from 40 gas stations in a region gives an average price of $3.69 and sample standard deviation 0.25$. Construct a 95% Confidence Interval for the mean price of regular gasoline in that region A. (3.61, 3.77) B. (3.09, 4.29) C. (2.79, 4.59) D. (3.39, 3.99)
Answers
Answer:
95% Confidence Interval for the mean price of regular gasoline in that region
(3.61005, 3.76995)
Step-by-step explanation:
Step(i):-
Given sample size 'n' =40
mean of the sample x⁻ = 3.69 $
standard deviation of the sample "s' = 0.25 $
We will use students 't' distribution
degrees of freedom
ν = n-1 = 40-1 =39
\(t_{39,0.05} = 2.0227\)
Step(ii):-
95% Confidence Interval for the mean price of regular gasoline in that region
\((x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } , (x^{-} + t_{\alpha } \frac{S}{\sqrt{n} })\)
\((3.69 - 2.0227 \frac{0.25}{\sqrt{40} } , 3.69 + 2.0227 \frac{0.25}{\sqrt{40} })\)
(3.69 - 0.07995 , 3.69 + 0.07995)
(3.61005, 3.76995)
Final answer:-
95% Confidence Interval for the mean price of regular gasoline in that region
(3.61005, 3.76995)
For the function f(x) = 7x1 + 10, find f-1(x).
15 points halp me plz
Answers
Answer:
C. f^-1(x) = (x/7 - 10)^4
Whoever answers this gets brainlist!
Answers
Answer: 5^5.
Step-by-step explanation: Using the equation x^a*x^b = x^(a+b), we find that 5^2*5^3 is equal to 5^5.
Marcus lives on a street where all the
house numbers are multiples of 9.
If the first number on the street is 9,
what are the next 3 possible house
numbers? Explain.
Answers
Answer:
18 27 36 you just have to do your count byes for 9
Second House: 18
Third House: 27
Fourth House: 36
Those would be the numbers because they are multiples of 9.
A group of adults plus one child attend a movie at a movie theater. Tickets cost $9 for adults and $4 for children. The total cost for the movie is $85. Enter an equation to find the number of adults in the group. The equation + a = can help find out how many adults were in the group.
Answers
Answer:
There is 8 adults and 1 child
Step-by-step explanation:
$78 - $6 = $72
$72 divided by 9 = 8
you would add nine 8 times and add 6 to it then it would be $78
Hope this helps you! :)
What is the equation of the line that passes through the point (-8, 4) and has a
slope of -1/2
Answers
Answer: y+4=1/2(x-8)
Step-by-step explanation:
You are visiting the rainforest, but unfortunately your insect repellent ran out. As a result, at each minute, with probability 0.5, one mosquito lands on your neck, and with probability 0.5, no mosquito lands. If a mosquito lands, it will bite you immediately with probability 0.2, or leave immediately with probability 0.8. a) What is the expected time between successive bites
Answers
Answer:
we will assume a variable X for time which is time between two successive bites and time until next bite.
X = (time between successive mosquito bites) = (time until the next mosquito bite).
According to the Bernoulli process, the bites occur parameter y = (0.5)(0.2) = 0.1.
X is a geometric random variable, so
E[X] = 1/p = 10
and
var(X) = (1 − p)/p^2 = (1 - 0.1)/0.1^2 = 0.9 / 0.01 = 90
Write an explicit formula for an, the n^th term of the sequence
2,−8,32,....
Answers
Answer:
36
Step-by-step explanation
6x6
The explicit formula for the nth term in a GEOMETRIC sequence is: a_n = a_1 * r^(n-1)
Wherein a_1 = first term in the sequence, a_n = nth term in sequence, r = common ratio between terms, n = # of term in the sequence being found (also means that n-1 is the # for the previous term).
In sequence 2, -8, 32…
We know that 2 is the FIRST term, or a_1.
What about r? Well,
2(r)= -8
2(-4) = -8, so r = -4.
-8(-4)= 32;
32(-4)= -128;
-128(-4)= 512;
512(-4)= -2048;
…And so on.
Substitute knowns into the formula:
a_n= 2*(-4)^(n-1)
Or
a_n= (-1/2)*(-4)^n
But I would go with the first one as an answer.
Here’s a picture of the work if it helps to see (I’m on my phone so it’s harder to type out the formulas):
Hope this helps!
what is 6 + 3 to the 4th power
Answers
Answer:
the answer is 87!
Answer: 6561
Step-by-step explanation: 6+3=9
9^4 = 9*9*9*9 = 81 * 81 = 6561
Which pair of functions are inverses of each other?  A. f(x) = \sqrt[3]{{6x}}f(x)= 3 6x and g(x) = {\left( {\frac{x}{6}} \right)^3}g(x)=( 6 x ) 3  B. f(x) = 10x – 5 and g(x) = \frac{{x + 5}}{{10}}g(x)= 10 x+5 C. f(x) = \frac{4}{x} - 3f(x)= x 4 −3 and g(x) = \frac{{x + 3}}{4}g(x)= 4 x+3 D. f(x) = \frac{x}{8} + 3f(x)= 8 x +3 and g(x) = 8x – 3
![Which pair of functions are inverses of each other? A. f(x) = \sqrt[3]{{6x}}f(x)= 3 6x and g(x) = {\left(](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/Ocu4yz8WkkurbTuo4VPpBveJGGaf6QYJ.jpeg)
Answers
Answer:
the answer is B
Step-by-step explanation:
![Which pair of functions are inverses of each other? A. f(x) = \sqrt[3]{{6x}}f(x)= 3 6x and g(x) = {\left(](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/RcYnx4ro0d2lxDNeoxg3kyrOVy7aCXQl.jpeg)
![Which pair of functions are inverses of each other? A. f(x) = \sqrt[3]{{6x}}f(x)= 3 6x and g(x) = {\left(](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/pGAK8O7Uip8F4I2JrRr1uky3xMQUzhap.jpeg)
How many 2 1/3 m lengths of rope can be cut from a rope of length 21 m?
Answers
Select the correct answer.
Which list orders the angles of triangle ABC from smallest to largest measure?
B
OA.
B.
O C.
OD.
130
180
ZA, ZC, ZB
ZC, ZA, ZB
ZB, ZC, ZA
ZA, 2B, 2C
120
Answers
Answer:
<B, <C, <A
Step-by-step explanation:
The order from smallest to largest angle is the same as the order from shortest to longest opposite side.
Sides from shortest to longest:
120, 130, 180
Angles from smallest to largest:
<B, <C, <A
Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
Need Help
Answers
Answer: -27
Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
We can start by looking at the differences between consecutive terms in the list:
9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12
Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:
-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21
Therefore, we predict that the most probable next number in the list is -27.
Please help ASAP! What is the Value of X?
Answers
Answer:
4x+7=5x-207+20=5x-4xx=27°hope it helps.
on the first one shows you how to solve it then second one is the problem just tell me the answer pls have a good day bye
Answers
Answer:
43/30
Step-by-step explanation:
Answer:
1 13/30
Step-by-step explanation:
6 & 5 have a Lcm of 30, so lets use that for our denominator so we can add.
5/6 + 3/5 = 25/30 + 18/30
=
43/30 which is equal to 1 13/30.
What does the y-intercept of the line tell you about the situation?
Please answer this quickly it’s due in 10min
Answers
The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the y-intercept.The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:
b = 10.
The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.
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Kay loves to save coins. She has a piggy bank that she has been filling for a long time with only dimes and nickels. Recently, her piggy bank was filled to the brim so Kay counted her coins and she discovered that she had $10. She also noticed that she has 11 less dimes than nickels. How many coins were in Kay's bank?
Answers
The total number of coins that were in Kay's bank are 137 coins.
How to determine the number of coins?In order to determine the number of dimes and nickels, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:
Let d represent the number of dimes.Let n represent number of nickels.Since she has 11 less dimes than nickels, an equation which models this situation is given by;
n = d + 11 ....equation 1.
Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.
Additionally, the coins are worth 10 dollars;
0.1d + 0.05n = 10 ....equation 2.
By solving both equations simultaneously, we have:
0.1d + 0.05(d + 11) = 10
0.1d + 0.05d + 0.55 = 10
0.15d = 9.45
d = 63 dimes.
For nickels, we have:
n = d + 11
n = 63 + 11
n = 74
Now, we can determine the total number of coins;
Total number of coins = n + d
Total number of coins = 74 + 63
Total number of coins = 137 coins.
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