Consider the coordinates of X, Y, Z, and W.
The given coordinates are X= -8, Y = -6,Z= -1 and W= -5.
We have to determine the length of segments XY and ZW.
XY = Y - X = -6-(-8) = -6 + 8 = 2 units
ZW = W - Z = -5-(-1) = -5+1 = -4 units
Since, the length of the segments are not equal.
Hence, XY and ZW are not congruent.
<u>Answers </u>
Part 1 = 2/9
Part 2 =5/9
Part 3 =7/9
<u>Explanation</u>
To convert the a repeating decimals this are the steps;
Part 1
Let x = 0.222222... (i)
10x = 2.222222... (ii)
Subtract equation (i) from equation(ii)
10x = 2.222222....
<u> -x = 0.222222....</u>
9x = 2.00000..
∴ 9x = 2
Divide by 9 both sides;
x = 2/9
Part 2
Let x = 0.5555...
10x = 5.5555...
subtract equation (i) from equation (ii).
10x = 5.5555..
<u> - x = 0.5555..</u>
9x = 5.0000..
∴ 9x = 5
x = 5/9
Part 3
Let x = 0.7777....
10x = 7.7777...
Subtracting equation (i) from equation (ii)
10x = 7.7777...
<u> -x = 0.7777...</u>
9x = 7.000..
∴ 9x = 7
x = 7/9
Pattern noted
When converting the repeating decimals to fraction only one number was repeating. This made the three decimals have the same fraction.
Answer:
10x
Step-by-step explanation:
smaller number is 9 and larger number is 90. The difference is 81.
The rate at which the temperature is changing at 9 a.m. is 19.03 degrees Celsius per hour
<h3>How to determine the rate at 9a.m?</h3>
The function is given as:

9a.m is 9 hours since midnight.
This means that
x = 9
So, we have:

Evaluate

Evaluate the expression
t(h) = 19.03
Hence, the rate at which the temperature is changing at 9 a.m. is 19.03 degrees Celsius per hour
Read more about rates at:
brainly.com/question/25545513
#SPJ1
Step-by-step explanation:
f(-xl= 6(-x)^2 - 1/(-x)^2
=6x^2- 1/x^2
f(x)= f(-x)
It is an even function