The <u>correct answer</u> is:
You can map ABC to A'B'C' by translating it 6 units left and reflecting it across the x-axis, which is a series of rigid motions.
Explanation:
In ABC, the coordinates are:
A(1, -3)
B(5, 3)
C(4, -1).
In A'B'C', the coordinates are:
A'(-5, 3)
B'(-1, -3)
C'(-2, 1)
Each point is mapped to its image:
A(1, -3)→A'(-5, 3)
B(5, 3)→B'(-1, -3)
C(4, -1)→C'(-2, 1)
Comparing the x-coordinates in the pre-image and image, we notice that the image has an x-coordinate that is 6 less than that of the pre-image:
1-6 = -5
5-6 = -1
4-6 = -2
This means that the figure must be translated 6 units left; that is the only way to have this change on the pre-image to form the image.
Comparing the y-coordinates of the pre-image with those of the image, we notice that they are negated:
-(-3) = 3
-(3) = -3
-(-1) = 1
This means the pre-image was reflected across the x-axis; this is the only way to negate the y-coordinate and not change the x-coordinate.
These are rigid motions because they do not change the shape or size, they simply move it and change its orientation.
Let say the number of the months is t, the total amount of depo is a and a0 is the initial amount of money deposited. You can put it like this:
a= f(t) = a0 + x*t
You can solve the equation by inserting two of any t value. If you use f(8)-f(4) it will be
a0+ x(8)= 2500
a0+ x(4)= 1500
___________-
8x- 4x= 1000
4x= 1000
x=250
Then the new equation would be:
a= a0 + 250*t
Putting f(4) value you can find a0
1500= a0+ 250*4
a0=1500-1000=500
The final equation would be
a= 1000+ 250*t
Answer:
option A
Step-by-step explanation:
wx and zy making 90 angle with each other therefore they are perpendicular.
wx and ab making 0 angle with each other therefore they are parallel
Answer:
A 99% confidence interval will be wider than a 95% confidence interval
Step-by-step explanation:
From the question we are told that
The 95% confidence interval for for the mean foot length for students at the college is found to be 21.709 to 25.091 cm
Generally the width of a confidence interval is dependent on the margin of error.
Generally the margin of error is mathematically represented as
From the above equation we see that
Here 
is the critical value of the half of the level of significance and this value increase as the confidence level increase
Now if a 99% confidence level is used , it then means that the value of
will increase, this in turn will increase the margin of error and in turn this will increase the width of the confidence interval
Hence a 99% confidence interval will be wider than a 95% confidence interval
Answer:
D
Step-by-step explanation:
20% of 80= 16
20% of 70= 14
16+16+14+14+14=74
