7k/3 = 21
x 3 x3
7k = 63
/7 /7
k = 9
(7(9)/3 = 21 = 63/3 = 21 = 21 = 21)
Answer:
Area=36
Step-by-step explanation:
Area of rhombus: diagonal 1 x diagonal 2 divided by 2.
To find the area of a rhombus, you need to find the length of both diagonals(which is the distance between 2 points across from each other).
First, find the distance between -8 and 4 which is 12.
Next, find the distance between -1 and -7 which is 6.
12 x 6 =72
72/2=36
(x, y ) → (- 1, 3 )
The solution to the system of equations is the point of intersection of the 2 lines
From the graph, that is (x, y ) → ( - 1, 3 )
We can confirm by solving algebraically
Since both equations express y in terms of x we can equate the right sides
- x + 2 = - 6x - 3 ( add 6x to both sides )
5x + 2 = - 3 ( subtract 2 from both sides )
5x = - 5 ( divide both sides by 5 )
x = - 1
substitute x = - 1 into either of the 2 equations for y-coordinate
y = - x + 2 = 1 + 2 = 3
solution is (x, y ) → (- 1, 3 )
For the equation
take the
from both sides:
Find x:

Answer: correct choice is D