Answer:
3x=-y+12
2x+3y=-6
collecting the like terms we have
3x+y=12
2x+3y=-6
to solve this simultaneous equation, we use substitution method
we make y the subject in equation one:
y=12-3x
then we put y=12-3x into 2x-3y=-6 in equation two
2x+3(12-3x)=-6
2x+36-9x=-6
-7x+36=-6
-7x=-6-36
-7x=-42
x=-42÷-7
x=6
then we put x=6 in y=12-3x:
y=12-3x
y=12-3(6)
y=12-18
y=-6
12:4=3
9:3=3
so u multiply each side by 3 to get the second triangle..
answer: 4.5*3 =13.5
Answer:
Domain: -4 < x < 4
Zeros: (-2, 0), (0, 0) and (2, 0)
The function is positive if: 0 < x < 2
The function is negative if: -4 < x < 0 and 2 < x < 4
Step-by-step explanation:
Domain of the function are those x values where the function is defined, For this case, -4 < x < 4
Zeros of a function are those x values where y = 0, that is, the graph intersect x-axis. For this case, the points are: (-2, 0), (0, 0) and (2, 0)
The function is positive if the graph o the function is above x-axis. For this case, the function is positive at the interval (0, 2)
The function is negative if the graph o the function is below x-axis. For this case, the function is negative at the intervals (-4, 0) and (2, 4)
Answer:
Step-by-step explanation:
For any quadrilateral to be a parallelogram
i) either both the pairs of opposite sides must be equal
ii) Both the pairs of opposite sides must be parallel
iii) Opposite pairs of angles must be equal
iv) Diagonals must bisect each other.
v) A pair of opposite sides must be parallel and equal
Here we are already given that AB || CD
So either we should be given that AD || BC
or we must be given that AB = CD
Here it is given AB = CD as an option.
So Option A) or the first option is the right answer that AB ≅CD is needed to prove ABCD is a parallelogram.
Step-by-step explanation:
You posted no answer choices, but a parallel oline has the same slope, so it is in the form
y = 1/5x + b
But b cannot be -1
