Answer: - x + 3
y>3x + 1
Step-by-step explanation:
Answer:
Option 2, (y = 4/6x - 4)
Step-by-step explanation:
Knowing that m acts as the slope in general, we can conclude that part of the equation is as such:
y = 4/6x
Now we are given coordinate (0, - 4) so that here x = 0 and y = - 4. Let's substitute these values into the prior equation:
y = 4/6x
-4 = 4/6(0)
-4 = 0
Now in order for y (-4) to be equal to the opposite side of the equation you would have to add -4:
-4 = 0 - 4
-4 = -4
That would mean the equation represents:
y = 4/6x - 4
For this case we have that by definition, a direct variation is given in the form:
Where:
k: It is the constant of proportionality
According to the statement we have to:
Substituting:
On the other hand we have:
Answer:
The slant height is 51 cm. The radius can be found from the Pythagorean theorem:
r^2 + (24 cm)^2 = (51 cm)^2
r^2 = (51^2 -24^2) cm^2 = 2025 cm^2
r = 45 cm
The area of the circular base is
A = π·r^2 = 2025π cm^2
The lateral area is
A = πrs . . . . . where s is the slant height
A = π·(45 cm)·(51 cm) = 2295π cm^2
Then the total area is
total area = base area + lateral area
= 2025π cm^2 + 2295π cm^2
= 4320π cm^2
