A parallelogram is also a rhombus if the diagonal is a bisector of an angle enclosed by the two adjacent sides of a parallelogram.
In our case it means,
Hope this helps.
The question is “ for which point is the y coordinate greater than -3? choose all answers that apply
1 answer:
You might be interested in
Answer:
The cost of 1 sparkling bottle in this week is less than last week, so we pay less this week.
We pay $0.44 less this week.
Step-by-step explanation:
Given,
Cost of 1 sparkling bottle last week = $1.69
This week cost of 4 bottles is $5.
So we have to find the cost of 1 bottle.
For this we use the unitary method, we get the cost of 1 bottle;
Cost of 1 sparkling bottle this week =
The cost of 1 sparkling bottle in this week is less than last week, so we pay less this week.
For finding how much we pay less this week, we have to subtract cost of 1 sparkling bottle this week from cost of 1 sparkling bottle last week.
Framing the above sentence in equation form, we get;
Hence we pay $0.44 less this week.
Answer:
Ok, we have a system of equations:
6*x + 3*y = 6*x*y
2*x + 4*y = 5*x*y
First, we want to isolate one of the variables,
As we have almost the same expression (x*y) in the right side of both equations, we can see the quotient between the two equations:
(6*x + 3*y)/(2*x + 4*y) = 6/5
now we isolate one off the variables:
6*x + 3*y = (6/5)*(2*x + 4*y) = (12/5)*x + (24/5)*y
x*(6 - 12/5) = y*(24/5 - 3)
x = y*(24/5 - 3)/(6 - 12/5) = 0.5*y
Now we can replace it in the first equation:
6*x + 3*y = 6*x*y
6*(0.5*y) + 3*y = 6*(0.5*y)*y
3*y + 3*y = 3*y^2
3*y^2 - 6*y = 0
Now we can find the solutions of that quadratic equation as:
So we have two solutions
y = 0
y = 2.
Suppose that we select the solution y = 0
Then, using one of the equations we can find the value of x:
2*x + 4*0 = 5*x*0
2*x = 0
x = 0
(0, 0) is a solution
if we select the other solution, y = 2.
2*x + 4*2 = 5*x*2
2*x + 8 = 10*x
8 = (10 - 2)*x = 8x
x = 1.
(1, 2) is other solution
