In a Cartesian coordinate system, a point (x, y) reflected over the y-axis is mapped to the point (-x, y), as the x-component changes direction in the reflection while the y-component remains the same.
Explanation:When a point is reflected across the y-axis in a Cartesian xy-coordinate system, which has orthogonal directions defined by the unit vectors i and j for the x and y axis respectively, the coordinates of the point change in a specific way. For every point whose coordinates are initially (x, y), after being reflected over the y-axis, the resultant point will have coordinates (-x, y).
This happens because the reflection over the y-axis effectively reverses the direction of the x-component of the point's position vector, changing its sign from positive to negative or vice-versa, while leaving the y-component unaffected. Therefore, after reflection, a point (x, y) is mapped onto the point (-x, y).
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You are helping a partner in your group with their problem. What mistake did they make solving the system?
3x+y-9
-2x+y=4
Students work when solving the second equation for y:
Y=2x+4
-2x+(2x+4)=4
-2x+2x+4=4
4=4
The students response is there are indefinitely many solutions and this is not correct. Explain the mistake.
explain why the diagram displqyed on the right cannot represents a real object
Find the length of arc xpy with a radius of 12m. leave in terms of pi./Users/alymcclellan/Desktop/Screen Shot 2017-07-31 at 10.25.17 PM.png
(08.06)The following data show the height, in inches, of 11 different garden gnomes:
2 9 1 23 3 7 10 2 10 9 7
After removing the outlier, what does the mean absolute deviation of this data set represent?
On average, the height of a garden gnome varies 3.2 inches from the mean of 7 inches.
On average, the height of a garden gnome varies 3.6 inches from the mean of 6 inches.
On average, the height of a garden gnome varies 3.2 inches from the mean of 6 inches.
On average, the height of a garden gnome varies 3.6 inches from the mean of 7 inches.
Answer:
The correct statement is:
On average, the height of a garden gnome varies 3.2 inches from the mean of 6 inches.
Step-by-step explanation:
We are given a data of 11 gardens as:
2 9 1 23 3 7 10 2 10 9 7
Now on removing the outlier i.e. 23 (since it is the very large value as compared to other data points) the entries are as follows:
x |x-x'|
2 4
9 3
1 5
3 3
7 1
10 4
2 4
10 4
9 3
7 1
Now mean of the data is denoted by x' and is calculated as:
[tex]x'=\dfrac{2+9+1+3+7+10+2+10+9+7}{10}\\\\x'=\dfrac{60}{10}\\\\x'=6[/tex]
Hence, Mean(x')=6
Now,
∑ |x-x'|=32
Now mean of the absolute deviation is:
[tex]\dfrac{32}{10}=3.2[/tex]
This means that , On average, the height of a garden gnome varies 3.2 inches from the mean of 6 inches.
What is the value of x 20 35 60 70
The function g(x) is defined as g(x) = 6x2 + 23x – 4. When does g(x) = 0?
A.) x = –6 or x = 1/4
B.) x = –4 or x = 1/6
C.) x = -1/4 or x = 6
D.) x = -1/6 or x = 4
*The answer is B, but if there's anyone looking to earn Brainliest, please answer with a full explanation.*
Answer:
B.) x = –4 or x = 1/6 .
Step-by-step explanation:
Given : g(x) = 6x² + 23x – 4.
To find : Solve.
Solution : We have given that
g(x) = 6x² + 23x – 4.
If g(x) = 0
6x² + 23x – 4 = 0 .
On factoring
6x² + 24x - 1x – 4 = 0
Taking common 6x from first two terms and -1 from last two terms.
6x ( x + 4 ) -1 (x + 4) = 0.
On grouping
(6x -1) ( x +4) = 0
For 6x -1 = 0
6x = 1
on dividing by 6
x = 1/6.
For x +4 = 0
On subtracting 4 from both sides
x = -4.
Therefore, B.) x = –4 or x = 1/6 .
The following set of coordinates most specifically represents which figure?
(−5, 6), (−1, 8), (3, 6), (−1, 4)
The correct answer is C: Rhombus. This is how you find your answer: desmos.com because you just plant in the ordered pair into the program and it plots out the shape for you. The only thing you need to know is your shapes and you should be set.
A gardener wants to enclose a circular garden with a square fence. If the circumference of the circular garden is about 99 feet, about how many feet of fencing would be needed? Use 3.14 to approximate for\pi π . Round your answer to the nearest tenth.
What number must you add to complete the square x^2+12x=-5
A 12
B 36
C 144
D 6
Answer: B. 36
Step-by-step explanation: Trust me!
BC is tangent to circle A at B and to circle D at C. What is AD to the nearest tenth? Look at image attached.
Answer:
1. 19.2
Step-by-step explanation:
Please find the attachment.
Since we know that radius is perpendicular to tangent of a circle. So AB will be perpendicular to BC at c and DC is perpendicular to CB at C.
Now we will construct a perpendicular line to radius AB at point E from the center of our small circle. Since we have two right angles at point B and C so we will also have right angles at point E and D as well.
Length of CD is is 7 so length of BE will be 7 as well and length of EA will be 10-7=3. Length of DE will be equal to length BC that is 19.
Now we have formed a right triangle and now we will use Pythagoras theorem to find the length of AD.
[tex](AD)^{2}=(DE)^{2}+(EA)^{2}[/tex]
Upon substituting our values in above formula we will get,
[tex](AD)^{2}=(19)^{2}+(3)^{2}[/tex]
[tex](AD)^{2}=361+9[/tex]
[tex](AD)^{2}=370[/tex]
Upon taking square root of both sides of our equation we will get,
[tex]AD=\sqrt{370}[/tex]
[tex]AD=19.2353840616713448\approx 19.2[/tex]
Therefore, the length of AD will be 19.2 and 1st option is the correct choice.
When students have a perfect math test score, the teacher gives them 5 fake dollars to spend in the class store. If one student already has 25 fake dollars and 4 perfect math test scores, how many total fake dollars does the student have to spend?
Answer:
45 Fake Dollars
Step-by-step explanation:
4x5=20
d=20+25
d=45 Fake Dollars
Answer:
45
Step-by-step explanation:
Rewrite the equation in vertex form and then give the vertex of the quadratic equation
Find f'(x) for f(x) = −7x2 + 4x − 10.
which of the following correctly describes the end behavior of the polynomial function, f(x)=3x^4+2x^2-x
Answer:
[tex]f(x)\rightarrow +\infty\text{ as }x\rightarrow -\infty[/tex]
[tex]f(x)\rightarrow +\infty\text{ as }x\rightarrow +\infty[/tex]
Step-by-step explanation:
Given polynomial function is,
[tex]f(x)=3x^4+2x^2-x[/tex]
Since, the end behavior of a polynomial is same as the end behavior of leading term,
Here, the leading term = [tex]3x^4[/tex]
[tex]\text{As }x\rightarrow -\infty[/tex]
The leading term is positive,
[tex]\text{While, as }x\rightarrow +\infty[/tex]
The leading term is positive,
Hence, the end behavior of the given polynomial is,
[tex]f(x)\rightarrow +\infty\text{ as }x\rightarrow -\infty[/tex]
[tex]f(x)\rightarrow +\infty\text{ as }x\rightarrow +\infty[/tex]
⇒ In the graph of f(x), both ends will go upward.
Answer:both ends go down !
Step-by-step explanation:
if you roll a normal dice 120 times. How many odd numbers would you expect to get
Answer:
60 odd numbers
Step-by-step explanation:
A normal dice has 6 different sides numbered from 1 to 6, each side has the same probability of appearing when you roll the dice, i.e., in the long run each number will appear 1/6 of the times. We have three different odd numbers in a normal dice each will appear 1/6 of the times in the long run. Therefore, in the long run we hope to get 3/6 = 1/2 of the times an odd number and rolling the dice 120 times will produce about 120(1/2) = 60 odd numbers.
Pablo plans to both run and swim. let r be the number of laps he runs and let s be the number of laps he swims. each lap he runs takes him 5 minutes, and each lap he swims takes him 2 minutes. he wants to exercise for at least 45 minutes today write an inequality
How many permutations are possible for 11 objects taken 7 at a time?
For the ordered pair, give three other ordered pairs with θ between −360° and 360° that name the same point. (3, 135°)
Three other ordered pairs with θ between −360° and 360° that name the same point as (3, 135°) are (−243, −45°), (−177, −15°), and (315, 495°).
Explanation:The ordered pairs (−243, −45°), (−177, −15°) and (315, 495°) all name the same point as (3, 135°) with θ between −360° and 360°.
To find these ordered pairs, you can add or subtract 360° to the given angle of 135° while keeping the x-coordinate constant at 3.
For example, you could subtract 360° from 135° to get −225° and combine it with the x-coordinate of 3 to get the ordered pair (3, −225°).
A cab ride from your home to the airport cost $23.47. If you want to tip the cab driver close to 10 percent of the fare, how much should you tip?
$0.24
$1
$3
$8
Answer:
Step-by-step explanation:
For all Plato users.
Find the possible value or values of n in the quadratic equation 2n^2-7n+6=0
What is the solution to the system that is created by the equation y=-x+6 and the graph shown below?
A=1/2(a+b)h solve for h
The box plot shows the number of years during which 24 colleges have participated in a local college fair
At least how many schools have participated for 2 years or fewer?
A.2 kids
B.4 kids
C.6 kids
D.7 kid
The function y=-2+5sin(pi/12(x-2)), what is the minimum value?
Answer:
-7
Step-by-step explanation:
bla bla bla 20 characters
Answer:
-7
Step-by-step explanation:
We are given that a function
[tex]y=-2+5 sin(\frac{\pi}{12}(x-2))[/tex]
We have to find the minimum value of y.
We know that range of sin x is [-1,1].
[tex]-1\leq sin(\frac{\pi}{12}(x-2))\leq 1[/tex]
[tex]-5\leq 5sin(\frac{\pi}{12}(x-2))\leq 5[/tex]
[tex]-5-2\leq -2+5sin(\frac{\pi}{12}(x-2))\leq 5-2[/tex]
[tex]-7\leq -2+5sin(\frac{\pi}{12}(x-2))\leq 3[/tex]
[tex]-7\leq y\leq 3[/tex]
Maximum value of y=3
Minimum value of y=-7
Hence, the minimum value of given function =-7
A traffic light is needed at each intersection. How many traffic lights are needed if there are 6 streets in the town.
To calculate the number of traffic lights needed for a town with 6 streets intersecting each other, you can use the formula Number of traffic lights = Number of intersections. In this case, 15 traffic lights are needed.
Explanation:A traffic light is needed at each intersection. How many traffic lights are needed if there are 6 streets in the town?
To determine the number of traffic lights needed for 6 streets, we use the formula: Number of traffic lights = Number of intersections. In a town with 6 streets, each street intersects with every other street, resulting in 15 intersections. Therefore, 15 traffic lights are needed for the 6 streets.
Use the information about the bakery to explain how a manager can use a system of equations to plan employee time. Include a demonstration of how to solve the system of equations given in the problem and an explanation of how a restaurant manager would schedule oven and employee time.
Help on this please show my work ?
Which of the following are pairs of congruent segments?
Check all that apply.
Implify the expression. write your answer using decimals. 22.5 + 7(n−3.4
If the resistance of one component of a series circuit is 3+j5 ohms, and the resistance of the second component of the circuit is 5−j8 ohms, and the resistance of the third component of the circuit is 6+j4 ohms, what is the total resistance in the circuit?
Final answer:
The total resistance in a series circuit is found by summing the resistances of individual components. For the given resistors of 3+j5 ohms, 5-j8 ohms, and 6+j4 ohms, the total resistance is 14+j1 ohms.
Explanation:
In a series circuit, the total resistance (Rtotal) is the sum of the individual resistances. We have three resistors with complex resistance values: R1 = 3 + j5 ohms, R2 = 5 - j8 ohms, and R3 = 6 + j4 ohms. Adding these together will give us:
Rtotal = R1 + R2 + R3
Calculate the real parts of each resistor and the imaginary parts separately:
Real part = 3 + 5 + 6 = 14 ohms,
Imaginary part = j5 - j8 + j4 = j1 ohm.
Thus, the total resistance in the circuit is Rtotal = 14 + j1 ohms.