Answer:
(-3,0) ; (1,0)
Step-by-step explanation:
We have to solve the associated equation:
-2x^2 -4x + 6 = 0
-x^2 - 2x + 3 = 0
x^2 + 2x -3 = 0
Δ/4 = 1 + 3 = 4
x1 = -1 + 2 = 1
x2 = -1 -2 = -3
Volume of the conical tank = 1/3pi*r^2 * h = 1/3pi * (10/2)^2 * 15 = 125pi cubic feet or 392.7 cubic feet = 392.7 * 7.48 gallons = 2937 gallons.
Volume of the hemispherical tank = 2/3pi * r^3 = 2/3pi * (5.5)^3 = 348.5 cubic feet = 348.5 * 7.8 gallons = 2606 gallons
Hence the conical tank will contain more chemicals
A: A is not correct. The two angles mentioned are interior and supplementary. They do not share a common vertex.
B: The two angles that share a common vertex (and are supplementary) are <JKN and <LKN So far this is the answer.
C: <MNP and <JKN are equal so they cannot be adjacent angles. Not when the transversal is on an angle like this.
D: <ONK and <JKN can be shown to be supplementary, but they have no special name. As a result, these two cannot be the answer
Answer:
120 square feet
Step-by-step explanation:
Area = length x width
Insert the two values. Width will represent height.
Area = 12 x 10
Solve.
Answer:
one solution, i.e x = 1 and y = -2
Step-by-step explanation:
Given two equations :
x+3y = -5 -------(1)
4x - y =6 ---------(2)
Using elimination method,
Multiply equation (2) by 3 and add it to equation (1)
We get,
x + 3y + {(4x - y)×3} = -5 +(6×3)
x + 12x + 3y - 3y = -5 + 18
13x = 13
x = 13/13 = 1
And corresponding y will be:
x + 3y = -5 , Plug x =1 to get y
1 + 3y = -5
3y = -5 - 1
y = -6/3 = -2
Hence we got only one solution, i.e x =1 and y = -2
