Volume=legntht imes widht time height
volume=11 and 3/5 times 9 times 12 and 1/2
volue=11 and 6/10 times 9 times 12 and 5/10
volume=11.6 times 9 times 12.5
volume=1305 m^3
There's not much math work here, they just want you to eyeball the graph and give the closest grid point to where the two lines meet.
Let's translate the question.
Solution to the system
That's the x and y values where the two lines cross. That's because the meeting point is the value of x and y that satisfies both equations.
Approximation ... to the nearest integer values
Where two integer grid lines cross is called a lattice point. It's a point with integer coordinates. Our solution, the meet of these two lines, doesn't fall exactly on a lattice point. The nearest integer values means the closest lattice point to our intersection of lines.
Eyeballing the graph, I'd say (x,y)=(2,3) is the closest point.
Answer: (2,3) second choice
Answer:
92
because the formula for the triangle is 1/2×b×h
and the formula for the rectangle nos l×w and then add those.
Group x terms
(2x^2+8x)-12=0
undistribute 2
2(x^2+4x)-12=0
take 1/2 of 4 and square it, add negative and positive of it insde (2^2=4)
2(x^2+4x+4-4)-12=0
factor perfect square
2((x+2)^2-4)-12=0
distribute
2(x+2)^2-8-12=0
2(x+2)^2-20=0
add 20 to both sides
2(x+2)^2=20
divide both sides by 2
(x+2)^2=10
sqrt both sides, remember to take positive and negative root
x+2=+/-√10
minus 2 both sides
x=-2+√10 and -2-√10
- (2x + 2) - 1 = -x - (x + 3)
-2x - 2 - 1 = -x - x - 3
-2x - 3 = -2x - 3
This is an identity and x can be any value
Answer many solutions
