Step-by-step explanation:
log(x+2)-log(x-1)=log2
log(x+2)/(x-1)=log2
=> (x+2)=2(x-1)
=>x+2 =2x-2
=> x=4
x^3-6x^2+18x-2 is right snswer
Answer:
<h2>The Possible range for x is : ]8 , 18[</h2>
Step-by-step explanation:
To can draw this triangle if:
4x - (2x - 6) < 42 < 4x + (2x - 6)
solve inequality 1 :
4x - (2x - 6) < 42 ⇔ 2x + 6 < 42 ⇔ 2x < 36 ⇔ x < 18 (1)
Solve inequality 2 :
42 < 4x + (2x - 6) ⇔ 42 < 6x - 6 ⇔ 48 < 6x ⇔ 8 < x (2)
from (1) and (2) we deduce that : 8 < x < 18
Answer:
<h2>h = 4 cm</h2><h2 />
Step-by-step explanation:
V = π r² h
where r = 3 cm
V = 36π cm³
solve for h
plugin values into the formula:
36π = π 3² h
h = <u> 36π </u>
π 3²
h = 4 cm
Answer:
<em> 108 degrees</em>
Step-by-step explanation:
From the diagram we are given
Interior angles are 2x + 1 and 63 degrees
Exterior angle = 5x -2
The sum of interior angles is equal to the exterior angle
2x + 1 + 63 = 5x - 2
2x + 64 = 5x - 2
2x - 5x = -2-64
-3x = -66
x = -66/-3
x = 22
Get the exterior angle:
Exterior angle = 5x-2
Exterior angle = 5(22) - 2
Exterior angle = 110-2
Exterior angle = 108 degrees
<em>Hence the measure of the exterior angle is 108 degrees</em>
