Which system of linear equations appears to have a solution of (-1, 4)?
2 answers:
Answer:D
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
A solution is (-1,4) means that point of intercept is (-1,4)
<=> when x=-1 so y = 4 for both equations
From the 4 possible answers, only graph D meets the requirement.
Hope it will find you well
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Answer:
The volume of the area not occupied by the tennis balls is 12.28 cubic inches.
Step-by-step explanation:
It is given that tennis balls with a diameter of 2.5in are sold in cans of three. the can is a cylinder.
Radius of ball = Radius of can =
Height of can =
The volume of sphere is
where, r is radius of sphere.
The volume of a tennis balls is
Volume of three tennis balls is
The volume of cylinder is
The volume of can is
The volume of the area not occupied by the tennis balls is
Volume = Volume of cylinder - Volume of three tennis balls
= 36.82 - 24.54 = 12.28 inches
Therefore, the volume of the area not occupied by the tennis balls is 12.28 cubic inches.
Answer: The lengths of the garden are 57.32 feet and 22.68 feet (approximately)
Step-by-step explanation: The area has been given as 1300 which means,
Area = L x W
1300 = L x W ———(1)
Also the perimeter has been given as 160, hence we also have
Perimeter = 2(L + W)
160 = 2(L + W)
80 = L + W ———(2)
From equation (2), make L the subject of the equation
L = 80 - W
Substitute for the value of L into equation (1)
1300 = L x W
1300 = (80 - W) x W
1300 = 80W - W^2
Rearranging the equation we now have;
W^2 - 80W + 1300 = 0
Since we cannot factorize we shall apply the quadratic equation formula to solve for W. Please refer to the attachment for details of this.
Having calculated the value of W to be either 57.32 or 22.68, we can now find the value of L as follows;
Substitute for the value of W into equation (1)
1300 = L x W
1300 = L x 57.32
Divide both sides of the equation by 57.32
22.68 = L.
(Note that if we take the other value of W which is 22.68, the value of L shall be 57.32)
Since the area of the rectangular garden must be AT LEAST 1300 square feet we shall use the exact values for;
Length = 57.32 feet
Width = 22.68 feet
