Answer:
The teacher is 1.416667 times taller than the student
Step-by-step explanation:
(5 2/3)/4
=1.416667
Start by getting one of the equations in terms of one variable, in this case lets put the first equation in terms of y
2x+y=3 ---> y=3-2x
now we plug that into the second equation
5x-2y=12 ---> 5x-2(3-2x)=12
we can then multiply and simplify
5x-2(3-2x)=12 ---> 5x-6+4x=12 ---> 9x-6=12 ---> 9x=18 ---> x=2
we can now plug x=2 into an equation to solve for y
2(2)+y=3 ---> 4+y=3 ---> y=-1
One formula for the lateral area is
A = 2(LW + H(L+W))
Filling in the given numbers, you have ...
A = 2((5.6 in)·(4.3 in) + (10 in)·(5.6 in + 4.3 in))
= 2(24.08 in² + 99 in²)
= 246.16 in²
We have to determine, The tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each system of equations to its graph.
The groups of equation are as follows;
The y-intercept of equation = 1
The x-intercept of equation = -1/2
And The slope of equation = 2
Then,
At x = 0, y = 1
And at y = 0, x = -1/2
And at x = 2, y = 3
The first and second equation Corresponding with the third graph.
The y-intercept of equation = 0
The x-intercept of equation = 0
The slope of equation = 3
So at x = 0, y = 0 and at x = 2, y = 6
The equation Corresponds with the first graph
The y-intercept of equation = -2
The x-intercept of equation = 2
The slope of equation = 2
So at x = 0, y = -2 and at x = 2, y = 0
The equation Corresponds with the first graph.
The y-intercept of equation = 3
The x-intercept of equation = -2
The slope of equation = 2
So at x = 0, y = 3 and at x = -5, y = 0
The equation Corresponds with the fourth graph.
The y-intercept of equation = 2
The x-intercept of equation = -1/2
The slope of equation = 4
So at x = 0 y = 2 and at y = 0 x = -1/2 and at x = 0.5 y = 4
The equation Corresponding with the second graph.
