Answer:
(2,-1)
Step-by-step explanation:
The ys in both questions are isolated on one side of the equation in both. The numerical coefficient of both is 1. Therefore you should equate the the left side of each equation to the other left side. The solution is the easiest one to solve because there is only 1 unknown on both sides.
4x - 9 = x - 3 Subtract x from both sides.
4x-x - 9 = -3 Combine
3x -9 = - 3 Add 9 to both sides
3x - 9+9 = - 3+9
3x = 6 Divide by 3
3x/3 = 6/3
x = 2
===============
Now use the second equation to solve for y
y = x - 3
y = 2 - 3
y = -1
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The solution is (2,-1)
Answer:
Option C is correct
Volume of coffee in the thermos is, 150.8 cubic inches
Step-by-step explanation:
Volume of the cylinder is given by:

Where
V is the volume of the cylinder
r is the radius
h is the height of the cylinder respectively
As per the statement:
A thermos in the shape of a cylinder is filled with coffee.
the height of the cylinder is 12 inches and its radius is 2 inches
⇒ h = 12 inches and r = 2 inches.
Substitute the given values and use
in [1]
then;


Simplify:
V ≈150.8 inches.
Therefore, the volume of coffee in the thermos is, 150.8 cubic inches
To find the area of a trapezoid it (top length + bottom length)/ 2 times height
Top length is 9
Bottom length is 19
(9+19)/2 x height = area
Area=168
14x height=168
Height =12