Answer:
8) Parallelogram.
10) Point W.
Step-by-step explanation:
8) Give another name of plane V.
As shown the plane represents A flat shape with 4 straight sides where opposite sides are parallel and also opposite sides are equal in length.
So, plane V represents parallelogram
10) Name a point that is not coplanar with R, S and T.
Coplanar points are the points which all lie in the same plane.
So, as shown:
R, S and T are coplanar points, they all lie in the plane V
So, the point which doesn't lie in the plane V is the point W
So, <u>the point W</u> is not coplanar with R, S and T.
Answer:
RATIONAL
Step-by-step explanation:
The perimeter is given by:
P = 2x + 2y = 28
The area is given by:
A = x * y
Writing the area based on x we have:
A (x) = x * (14-x)
Rewriting:
A (x) = 14x-x ^ 2
Deriving we have:
A '(x) = 14-2x
We equal zero and clear x:
14-2x = 0
x = 14/2
x = 7
We are now looking for the other dimension:
y = 14-x
y = 14-7
y = 7
Answer: The length and width of a rectangle that has the given perimeter and a maximum area are:
y = 7 meters
Answer: 1. I will bring my umbrella.
2. You work 20 hours a week, and you make $175.00.
Step-by-step explanation:
We know that a conditional statement "If p then q", is an if-then statement in which p is a hypothesis and q is a conclusion.
Now, for the given conditional statement "If it rains, then I will bring my umbrella. "
Here, q=" I will bring my umbrella." Therefore, the conclusion is "I will bring my umbrella".
For the next conditional statement "If you work 20 hours a week, then you make $125.00."
The statement "You work 20 hours a week, and you make $175.00." is false, because $175 is false conclusion here for the same hypothesis.
Answer:
(x, y) and (2, 49)
Step-by-step explanation:
