Alright, lets get started.
Sophie has 5 pieces of string that are 4 yards each.
1 yards = 3 feet,
So, 4 yards =
feet
Total number of string she has = 5 piece
So, total length she has =
feet
It means she had 60 feet string in starting.
Now, She uses 3 pieces that are each 3 feet long, means
She uses =
feet
So, remaining string length will be =
feet
Means 51 feet string does Sophie have. : Answer
Hope it will help :)
<h2>Answer</h2>
C.) 1
<h2>Explanation </h2>
Remember the rules for shifting functions:
shifts the function b units upward
shifts the function b units downward
shifts the function b units to the left
shifts the function b units to the right
Since we want tho shift
5 units to the right, we are using the rule:
shifts the function b units to the right; in other words, we need to subtract 5 units to the input of the function:


But notice that there is already a negative sign in
, so to get
, k must be equal to positive 1.
After six hours, the bright, hot sun became unbearable.
Right answer ^^^^
<h2>○=> <u>Correct options</u> :</h2><h2>□

</h2><h2>□

</h2><h3><u>Steps to derive the correct options</u> :</h3>
Since two sides and one included angle is equal in △PQS and △PRS, we can conclude that they are congruent under the SAS congruence criterion.
Which means :
▪︎Angle S = Angle S
▪︎PS = PS
▪︎QS = RS
Given :
Measure of segment QS = 6n+3
Measure of segment RS = 4n+11
Thus :







Thus, the value of n = 4
Measure of segment QS :




Thus, measure of QS = 27
Measure of RS :




Measure of QR :


Thus :
▪︎QS = 27
▪︎RS = 27
▪︎QR = 54
Therefore, the correct options are :
▪︎(C) SR = 27
▪︎(D) QR = 54
Answer: No
Explanation:
According to factor theorem, if f(x)=0 then x is a factor of the given function or equation.
As x-1 is a factor
We equate x-1=0
x=1
Substituting in x^5-1, we have 1^5-1 =1-1=0.
Hence, it's a factor.
When coming to x^5+1, it would become 1^5+1=1+1=2
So x-1 isn't a factor of x^5+1.