The equation that represents the scenario is 2x + 500 = 2400
The cost of one month rent is $950
She paid two months rent and a $500 security deposit when she signed for a lease. In total she paid $2400.
let
the cost of a month rent = x
Therefore,
<h3>Total cost Equation</h3>
The cost of the one month rent can be calculated as follows:
- 2x + 500 = 2400
- 2x = 2400 - 500
- 2x = 1900
- x = 1900 / 2
- x = $950
Therefore, the equation that represent the scenario and cost of one month rent are as follows;
- 2x + 500 = 2400
- cost of one month rent = $950
learn more on equation here: brainly.com/question/8057577
Answer: The correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.
Explanation:
It is given that coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .
The distance formula for two points is given below,





Slope formula,

Slope of DE,

Slope of EF,

Slope of FG,

Slope of DG,

The slope of opposite sides are equal, it means the opposite sides are parallel.
All four sides do not have the same length. It means it is not a rhombus.
From the figure it is noticed that the opposite sides are parallel.
Therefore, the correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.
Answer:
(Explanation)
Step-by-step explanation:
Part A:
The graph of y =
+ 2 will be translated 2 units up from the graph of y =
.
If you plug in 0 for x, you get a y-value of 2. The 2 is also not included with the
, which is why it doesn't translate left.
This is what graph A should look like:
[Attached File]
Part B:
The graph of y =
- 2 will be translated 2 units down from the graph of y =
.
If you plug in 0 for x, you get a y-value of -2. The 2 is also not included with the
, which is why it doesn't translate right.
This is what graph B should look like:
[Attached File]
Part C:
The graph of y = 2
is a stretched version of the graph y =
. Numbers that are greater than 1 stretch and open up and numbers less than -1 stretch and open down.
This is what graph C should look like:
[Attached File]
Part D:
The graph of y =
is a compressed version of the graph y =
. Numbers that are in-between 0 and 1, and -1 and 0 are compressed.
This is what graph D should look like:
[Attached File]
Answer + Step-by-step explanation:
the inequality by finding the boundary line, then shading the appropriate area.
y > − 5/2x − 5
(anything in shaded region)
You would start out with multiplying giving you 5(x+6). then you would have a product of 5x+30. hoped this helped!