Answer: y = -x + 2
Step-by-step explanation:
When x=0, y = 2
When y=0, x = 2
Hope this helps!
The volume V of a prism can be found by:
The volume of a rectangular prism can be found through:

Where l is the length, w is the width, and h is the height.
The height can be found by rearranging the equation to:

Take the volume (1374.28) and divide it by the length times the width (9.4*17.2=161.68).
1374.28/161.68=
8.5 inches is the height of the prism.
Asked and answered elsewhere.
brainly.com/question/10192511Knowing that 1+2i is a root, you also know that 1-2i is a root, so one quadratic factor is
(x -1)² -(2i)² = x^2 -2x +5
Long division of the given polynomial by this quadratic gives a quotient of
x² +9
which has roots ±3i.
Then all
the roots are {-3i, 3i, 1-2i, 1+2i}.
Answer:
(0,-5) and (-4,3)
Step-by-step explanation:
The given equations are

Make y the subject in the second equation;

Substitute into the first equation;

Expand:





When x=0,

This gives; (0,-5)
When x=-4

This gives (-4,3)
Answer:
option 1
option 3
option 4
Step-by-step explanation:
Inversely proportional means "one quality increases, the other decreases " or "one quantity decreases ,other increases. " Inverse relantionship, that's it.
option 1:
Since the volume is given as 56 and we know the volume is area of base * height, to keep the volume at constant [56], if height increases, area of base would need to decrease, and vice versa. So Inversely proportional.
option 2:
The time spend in plowing a field with a tractor with increase when we area using more fuel.So more fuel used means more time spent. So these are directly proportional, Not inverse.
option 3:
Since the price is a constant, the amount of length we buy more,the price per one yard HAS to decrease, and vice versa. So ,this is Inverse relantionship.
option 4:
If the number of identical tractors. increase, it will take less time to plow the set 358 acre farm. And vice versa. So this is Inversely proportional as well.
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