Answer:
l = 2.25 cm
Step-by-step explanation:
given l is inversely proportional to w² then the equation relating them is
l =
← k is the constant of proportion
(i)
to find k use the condition w = 1.5 , l = 16 , then
16 =
=
( multiply both sides by 2.25 )
36 = k
l =
← equation of proportion
(ii)
when w = 4 , then
l =
=
= 2.25 cm
Answer: The answer is 280 ft.
Step-by-step explanation:
divide the green area into a triangle and a rectangle so it's easier to calculate. Then find the area of the rectangle by multiplying 14 times 16. That should get you 224. Then, find the area of the tringle by multiplying 14 times 18, times 1/2. That will get you 56. If you add 56 to 224, that gets you 280.
Answer:
32.1
Step-by-step explanation:
you take 30 times .07 (this was 7% but since you need it to be a decimals you move it over 2 places left). You should get 2.1 and then you add the 2.1 and 30 to get 32.1
Answer:
vertex = (0, -4)
equation of the parabola: 
Step-by-step explanation:
Given:
- y-intercept of parabola: -4
- parabola passes through points: (-2, 8) and (1, -1)
Vertex form of a parabola: 
(where (h, k) is the vertex and
is some constant)
Substitute point (0, -4) into the equation:

Substitute point (-2, 8) and
into the equation:

Substitute point (1, -1) and
into the equation:

Equate to find h:

Substitute found value of h into one of the equations to find a:

Substitute found values of h and a to find k:

Therefore, the equation of the parabola in vertex form is:

So the vertex of the parabola is (0, -4)