Option C:
Solution:
Given expression: 2 ln 8 + 2 ln y
Applying log rule 
in the above expression.
⇒ 
Applying log rule 
in the above expression.
⇒ 
We know that 
⇒ 
Hence, the expression in single natural logarithm is .
Option A is true because the sum of angles in a triangle is 180, so we can rule that one out immediately.
We can solve for x for the other 3 options by setting up this equation:
7x+2 + 4x+7 + 8x = 180 | Simplify
19x + 9 = 180 | Subtract 9
19x = 171 | Divide by 19
x=9
Now we can substitute x into all the values:
<J = 7x+2 = 65
<L = 4x+7 = 43
<K = 8x = 72
Looking at the options again, we can see that A, B, and D are true, leaving C to be false.
Answer:
20.3 cm. to the nearest tenth.
Step-by-step explanation:
Using the Pythagoras Theorem:
CR^2 = CS^2 + SR^2
= 6^2 + 13^2
= 205
CR = √205 cm.
UR = CR (because they are both radii of the circle).
So UR = √205
and SU =6 + √205
= 20.3 cm to the nearest tenth.
Answer:
When a relationship is proportional, all y over x ratios simplify to the slope of the line which is the constant of proportionality or the unit rate, with one as a denominator. Example: Consider the equation y = 60x. The slope is 60. The rate of change is 60 units for every one unit.
Step-by-step explanation:
