Answer:
a. 
b. 
c. 
d. 
Step-by-step explanation:
Given

Solving (a): When g(x) = 0
Substitute 0 for g(x)


Solve for 8x

Solve for x

Solving (b): when x = 0
Substitute 0 for x




Solving (c): When g(x) = -5
Substitute -5 for g(x)


Solve for 8x


Solve for x


Solving (d): When x = 3
Substitute 3 for x




Answer:
-1/3
Step-by-step explanation:
(-2, 5) and (1, 4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4-5)/(1+2)
m=(-1)/3
m= -1/3
The ladder, the wall and the floor form together a triangle rectangle, where the ladder is the hypotenuse of the triangle and the floor and wall are the cathetus. We know from Pythagoreas theorem that the square of the hypotenuse is equal to the sum of the two cathetus squared added, so we can write an equation with the data we have:
hyp^2 = cath1^2 + cath2^2
<span>hyp^2 = wall^2 + floor^2
</span>so we have the hypotenuse value, the floor value and the unknown is the wall height:
(22)^2 = wall^2 + (7)^2
484 = wall^2 + 49
wall^2 = 484 - 49 = 435
wall = √435
wall = 20.9
therefore the ladder touches the wall 20.9 feet above the ground
The average ladybug is about 1 cm long, but it is more accurate to measure in millimeters.