Answer:
Step-by-step explanation:
step 1
Calculate the volume of the cylinder (flower vase)
The volume is equal to
we have
-----> the radius is half the diameter
substitute the values
------> exact value
step 2
Calculate 2/3 of the volume
Denali- 6.7x70= 469
The building should be strong enough to withstand an earthquake of that magnitude.
Rat Island- 7.8x30=234
The building should be string enough to withstand an earthquake of that magnitude.
Hope this helps! ;)
Given : (8 + i)(2 + 7i)
⇒ (8 × 2) + (8 × 7i) + (i × 2) + (i × 7i)
⇒ 16 + 56i + 2i + 7i²
We know that i² = -1
⇒ 16 + 58i + 7(-1)
⇒ 16 + 58i - 7
⇒ 9 + 58i
Answer:
24 is more expensive by $18.00
Step-by-step explanation:
Answer:
The vertex is (0, -5) and the axis of symmetry is x = 0.
Step-by-step explanation:
In order to find the axis of symmetry, we look for the x value of the vertex. We can find this using the equation -b/2a, in which a is equal to the coefficient of the x^2 term and b is the coefficient of the x term.
x = -b/2a
x = 0/2(1)
x = 0/2
x = 0
So the axis of symmetry is 0 as is the x value of the vertex. Now we can find the y value by plugging in the x value into the equation.
f(x) = x^2 - 5
f(x) = 0^2 - 5
f(x) = 0 -5
f(x) = -5
This gives us a vertex of (0,-5)
