Answer:
Therefore the Area of Rhombus ABCD is 36 unit².
Step-by-step explanation:
Given:
ABCD is a Rhombus
A = (-1,0)
B = (5,-3)
C = (-1,-6)
D = (-7 ,-3)
To Find:
Area of Rhombus ABCD = ?
Solution:
We know that Area of Rhombus is given as
Where ,
d₁ and d₂ are the Diagonals.
We have,
Diagonals as AC and BD,
Using Distance Formula we get
Substituting coordinates A and C we get
Similarly for BD we have,
Now Substituting AC and BD in Formula we get
Therefore the Area of Rhombus ABCD is 36 unit².
A graph shows the limit to be 1/2.
https://www.desmos.com/calculator/qrf6ay47tw
Since the value of the function is the indeterminate form 0/0, L'Hôpital's rule applies. The ratio of derivatives of numerator and denominator is
.. x/
Evaluated at x=1, this is
.. 1/
= 1/2
Given, y varies directly as x
So,
Where c is a constant
When y equals 5 when x is 8
So,
So, the relation between y and x
now , when x = 9
Substitute with x to find y
So, the answer is option 2. y = 45/8
Answer:
(96.91, 101.09)
Step-by-step explanation:
To calculate the interval, you require the Z value at 95% confidence interval. The Z value is 1.96. The formula to calculate the confidence interval:
Where X is the mean and s is the standard deviation and x the sample size:
The interval is (96.91, 101.09)
The intersection of the two equations is (1, 1/5). Since the question is asking for the value of x, x = 1.