Answer:
After the reflection over the line y = -x, the image of the point is: (-3,-2)
Step-by-step explanation:
When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.
Let (x,y) be a point on the plane
and
y = -x be a line on the plane
When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated
So (x,y) will become (-y,-x)
Given point is:
(2,3)
After the reflection over the line y = -x, the image of the point is: (-3,-2)
The numbers are 15, 17 and 19
Answer:
0.08065
Step-by-step explanation:
Given that in a recent study,1 2006 randomly selected US adults (age 18 or older) were asked to give the number of people in the last six months with whom you discussed matters that are important to you.
If X is random variable then X has mean 2.2 and s = 1.4
n=2006
Std error of mean =
For 99% since sample size is large, t and z distn almost coincide.
Hence we can take 2.58 as critical value
Margin of error at 99% =
Answer:
2. x = 2 & y = 4
3. x = 4 & y = 2
Step-by-step explanation:
2. x + y = 6
2x + y = 8 (multiply the first equation by -1, so you can eliminate the ys)
- x - y = -6
2x + y = 8 (now add the variables together)
x = 2 (plug in x in one of the equations to find out y)
x + y = 6
(2) + y = 6
-2 -2
y = 4
3. 3x + y = 14
x = 2y (plug in x into the first equation and solve it for y)
3(2y) + y = 14
6y + y = 14
7y = 14
y = 2 (plug in y in one of the equations to find out x)
x = 2y
x = 2(2)
x = 4
4. One number (x) is 2 more (+2) than twice (times 2) as large as another. their sum is 17. Find the numbers.
2x + 2 = 17 (solve for x)
-2 -2
2x = 15
x = 7.5
6. 7 (4x + 1) - (x + 6) (start by distributing 7 into the first parenthesis)
(28x + 7) - (x + 6) (do the same to the other parenthesis by distributing -1)
(28x + 7) (-x - 6) (and now just combine like terms)
28x + 7 - x - 6
28x - x + 7 - 6
27x + 1
i hope this helped! if you have any question, pls let me know!
Since .9999 is less than 100, the nearest hundred is 0.
