For part 1 you would say the expression is:
I-3 because an expression does not have an equal sign and ingrid swam 3 laps less than holly
For Part 2, you would substitute 25 into l, so it would be 25-3 which equals 22
Hope this helps.
Answer:
(0,3) and (π,3)
Step-by-step explanation:
The period of a sine graph is the magnitude of the interval over which the graph completes a full cycle.
From the graph, the sine function completed one full cycle in [0,π]
The period is π.
The midline us y=3.
Two points on the midline that are separated by a distance of π are (0,3) and (π,3)
In the figure, CD = EF and AB = CE
<u>To prove that AB = DF:</u>
Step 1:
Given CD = EF, so we can substitute EF instead of CD.
CD + DE = EF + DE
by the Substitution Property of Equality.
Here, Option C is the correct answer.
Step 2:
CD + DE = CE and
EF + DE = DF
by Segment Addition.
Here, Option C is the correct answer.
Step 3:
From step 1, CD + DE = EF + DE
From step 2, CE = DF
So, CE = DF by the Transitive Property of Equality.
Here, Option D is the correct answer.
Step 4:
Given AB = CE and CE = DF
⇒ AB = DF
by the Transitive Property of Equality.
Here, Option D is the correct answer.
Hence proved.
Answer:
The books can be arranged in 170,544 ways
Step-by-step explanation:
This is a combination question since we are arranging
We simply want to find the number of ways to select 15 books out of 22 for arrangement
Mathematically, that will be;
22 C 15 = 22!/(22-15)!15! = 170,544 ways