11. Persevere in Problem Solving Emma and Tony are playing a game. Each draws a triangle
1 answer:
Transformations in the coordinate plane maps preimage coordinate points to the coordinate points of the image
- The quadrant Emma needs to translate her triangle to in order to win are; <u>3rd and 1st quadrants </u>
- The quadrant Tony needs to translate his image to in order to win is; <u>3rd quadrant</u>
<u />
The reason the above values are correct are as follows:
The given parameter are;
The coordinates of Emma's initial triangle are; (3, 0), (-4, -2), (-2, -2)
Tony's initial triangle coordinates are; (2, 4), (2, 2), (4, 3)
The vector used on the first turn is <6, -5>, which gives;
Emma's first transformation,
1st quadrant (3, 0) → 4th quadrant (9, -5)
3rd quadrant (-4, -2) → 4th quadrant (2, -7)
3rd quadrant (-2, -2) → 4th quadrant (4, -5)
Tony's first transformation,
1st quadrant (2, 4) → 4th quadrant (8, -1)
1st quadrant (2, 2) → 4th quadrant (8, -3)
1st quadrant (4, 3) → 4th quadrant (10, -2)
Emma's second transformation,
4th quadrant (9, -5) → 2nd quadrant (-1, 3)
4th quadrant (2, -7) → 2nd quadrant (-8, 1)
4th quadrant (4, -5) → 2nd quadrant (-6, 3)
Tony's second transformation,
4th quadrant (8, -1) → 2nd quadrant (-2, 7)
4th quadrant (8, -3) → 2nd quadrant (-2, 5)
4th quadrant (10, -2) → 1st quadrant (0, 6)
From the above translation transformations, Emma has drawn an image in the 4th and 2nd quadrant, and would needs to draw an image in the <u>3rd and 1st quadrant </u>
<u />
Similarly, from the above values, Tony has drawn an image in the 4th quadrant, 2nd quadrant and 1st quadrant, therefore Tony needs to translate to only the <u>3rd quadrant </u>in order to win
Learn more about transformations in the coordinate plane here:
You might be interested in
The parameter of interest in this scenario is the proportion of all 1,000 students within the school who have "strict" parents or guardians.
<h3>How to calculate a test statistic?</h3>In Mathematics, the test statistics of a given sample is calculated by using this formula:
<u>Where:</u>
- x is the sample mean.
- u is the mean.
- is the standard deviation.
- n is the sample size.
In conclusion, a possible test statistic which can be used to estimate this parameter is the proportion of all students who have "strict" parents or guardians, based on the collected sample.
Read more on test statistic here: brainly.com/question/4621112
#SPJ1
Answer:
The function that can be used in the online shopping club about its monthly revenue is:
Step-by-step explanation:
First, we're gonna take into account the different values we have in the exercise:
- 10,000 members
- $7 per month for membership
- Loses of 400 members by each $1 monthly increase
How the variable represents the price increase, we can do the formula below:
In this formula, we represent in the first part that by each 1 in the variable , the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of
. Now we must simplify this function:
We operate the values:
Solve we can:
And organize:
At the end, how represents the monthly revenue received by the club, we use that variable for our formula: