Answer:
a= 6
Step-by-step explanation:
slope = (y2 - y1)/(x2 - x1)
3/8 = (3 - 0)/(a - (-2))
cross multiplying,
3(a + 2) = 3(8)
3a + 6 = 24
3a = 18
a = 18/3
a = 6
Answer:
52
Step-by-step explanation:
(I replaced 
with 
since we are to find 
.)
(By the order of operations, we take care of the exponents before whatever else we have here.)
(By the order of operations, we take care of the multiplication as we see if left to right.)
(By the order of operations, we perform addition/subtraction as we see it left to right.)
(This completes the simplification.)
We could have also put this in our calculator as:
4(4)^2 - 2(4) - 4
This would have returned 52.
If A=38x-x^2 then
dA/dx=38-2x
d2A/dx2=-2
Since the acceleration, d2A/dx2 is a constant negative, when velocity, dA/dx=0, it will be an absolute maximum for A(x)
dA/dx=0 only when 38=2x, x=19
A(19)=38(19)-19^2
A(19)=722-361
A(19)=361 ft^2
So the maximum possible area is 361 ft^2
(This will always be true as the maximum possible area enclosed by a given amount of material will always be a perfect square...)
Answer:
Area of semicircle =( π r2)÷ 2
= 1/2 × 22/7 × 11 ×11
= 11 × 17.5
= 19.25 CM2
