Answer:
Step-by-step explanation:
The formula for the length of a vector/line in your case.
Which of the following represents a number less than two is 22
1 answer:
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Answer:
C
Step-by-step explanation:
Calculate AC using Pythagoras' identity in ΔABC
AC² = 20² - 12² = 400 - 144 = 256, hence
AC = = 16
Now find AD² from ΔACD and ΔABD
ΔACD → AD² = 16² - (20 - x)² = 256 - 400 + 40x - x²
ΔABD → AD² = 12² - x² = 144 - x²
Equate both equations for AD², hence
256 - 400 + 40x - x² = 144 - x²
-144 + 40x - x² = 144 - x² ( add x² to both sides )
- 144 + 40x = 144 ( add 144 to both sides )
40x = 288 ( divide both sides by 40 )
x = 7.2 → C
Answer:
(b) 1
Step-by-step explanation:
To differentiate we will need the product rule:
.
We have , so the following equation is true by the transitive property:
By subtraction property we have:
Since , then we can divide both sides by
:
This implies is constant.
So we have that where
is a real number.
Since and
, then by transitive property
.
So .
Checking:
So the following conditions were met.