Answer:
The value of k for the expression to be undefined is 9 .
Step-by-step explanation:
Given as :
The rational expression is written in the form

Now, according to question
The expression to be undefined , denominator should be 0
<u>As,
is infinite ( ∞ ) term and it is undefined , so for expression to be undefined , the denominator should be 0</u>
∴ k² - 18 k + 81 = 0
Or, k² - 9 k - 9 k + 81 = 0
Or, k ( k - 9 ) - 9 ( k - 9) = 0
Or, ( k - 9 ) ( k - 9 ) = 0
Or, ( k - 9 ) = 0 , ( k - 9 ) = 0
∴ k = 9
So, The value of k = 9
Hence The value of k for the expression to be undefined is 9 . Answer
Answer:
Jason can travel <u>24 miles</u> in 150 minutes.
Step-by-step explanation:
8= miles. 50&150= mins
8=50.
Your trying to find how many miles Jason can travel in 150 mins. So your going to divide the new amount of minutes to the old amount.
150÷50= 3.
So since 50 can go into 150 3 full times that means you will multiply the original amount of miles by 3 to get your new amount.
3×8= 24
So, if Jason can travel 8 miles in 50 mins (8=50) Then, he can travel 24 miles in 150 mins (24=150)
Hope this wasn't too confusing,
<em>Hope this helps!</em>
Answer:
A) 3:9 => 1:3
B) 12:36 => 1:3
C) 13:39 => 1:3
D) 71:213 => 1:3
E) 142:213 => 2:3
F) 38:57 => 2:3
G) 33:44 => 3:4
H) 31:42 => 31:42 or 21:42 => 1:2
Step-by-step explanation:
The simplest form of the ratios are as follows:
A) 3:9
Dividing the ratio by 3
1:3
B) 12:36
Dividing the ratio by 12
1:3
C)13:39
Dividing the ratio by 13
1:3
D) 71:213
Dividing the ratio by 71
1:3
E) 142:213
Dividing the ratio by 71
2:3
F) 38:57
Dividing the ratio by 19
2:3
G) 33:44
Dividing the ratio by 11
3:4
H) 31:42
The ratio is already in simplest form as 31 and 42 don't have a common multiple.
Or it might be mistakenly typed 31 instead of 21
Then the simplest form will be:
21:42
1:2
Hence,
A) 3:9 => 1:2
B) 12:36 => 1:3
C) 13:39 => 1:3
D) 71:213 => 1:3
E) 142:213 => 2:3
F) 38:57 => 2:3
G) 33:44 => 3:4
H) 31:42 => 31:42 or 21:42 => 1:2
Calculate the area of the room by multiplying 16 by 20. It'll give you 320, therefore the rug is too big