Use the point slope equation: y - y1 = m(x - x1)
(-1, -3); m = 4
Plug these numbers in.
y - (-3) = 4(x - -1)
y + 3 = 4x + 4
y = 4x + 1
Since the figures are similar, we can establish a rule of three as follows.
We know that the area of the smaller figure is

, and its volume is

. We also know that the area of the larger figure is

; since we don't now its volume, lets represent it with

:



We can conclude that the volume of the larger figure is

; therefore, the correct answer is
a.
Answer:
17
but it can be 18 too
cuz the q doesn't tell us that the value of x has to be a prime no.
Step-by-step explanation:
2+3+5+7+11+13+17=58
y = x³ + 3x² - x - 3
0 = x³ + 3x² - x - 3
0 = x²(x) + x²(3) - 1(x) - 1(3)
0 = x²(x + 3) - 1(x + 3)
0 = (x² - 1)(x + 3)
0 = (x² + x - x - 1)(x + 3)
0 = (x(x) + x(1) - 1(x) - 1(1))(x + 3)
0 = (x(x + 1) - 1(x + 1))(x + 3)
0 = (x - 1)(x + 1)(x + 3)
0 = x - 1 or 0 = x + 1 or 0 = x + 3
+ 1 + 1 - 1 - 1 - 3 - 3
1 = x or -1 = x or -3 = x
Solution Set: {-3, -1, 1}
Answer:
x=-2
Step-by-step explanation: