Diagonal of a Rhombus are perpendicular & intersects in their middle point:
Assume the diagonals intersects in H
A(0,-8), B(1,-0), C(8,-4) & D(x, y) are the vertices of the rhombus and we have to calculate D(x, y)
Consider the diagonal AC. Find the coordinate (x₁, y₁) H, the middle of AC
Coordinate (x₁, y₁) of H, middle of A(0,-8), C(8,-4)
x₁ (0+8)/2 & y₁=(-8-4)/2 ==> H(4, -6)
Now let's calculate again the coordinate of H, middle of the diagonal BD
B(1,-0), D(x, y)
x value = (1+x)/2 & y value=(y+0)/2 ==> x= (1+x)/2 & y=y/2
(1+x)/2 & y/2 are the coordinate of the center H, already calculated, then:
H(4, -6) = [(1+x)/2 , y/2]==>(1+x)/2 =4 ==> x=7 & y/2 = -6 ==> y= -12
Hence the coordinates of the 4th vertex D(7, -12)
Answer: D. 21ways.
Step-by-step explanation:
This is based on selection, fixing two '3' numbers into 5numbers to make it 7 numbers can be done in 7C2 ways.
Generally, nCr = n!/(n-r)!r!
7C2 = 7!/(7-2)!2!
=7!/5!2!
=7×6×5!/5!×2!
=7×6/2
=21ways (D)
Answer:
Step-by-step explanation:
As the graph is passing via (2,1) and (-6,3)
Answer:
50 dollars per month
Step-by-step explanation:
Given
Required
Determine the rate of savings
Suppose in a month, she saves x amount.
In 2 months, she would save 2x
When 2x is added to the initial savings, it gives the total amount saved.
So, we have:
Collect Like Terms
Divide both sides by 2
<em>Hence, she saves $50 dollars monthly</em>
