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.
The domain is the x-values u insert to get corresponding y-values. In other words, the domain is the boundaries for which u can enter x valies. In this graph, we can see that the function continues infinitely upwards, not vertical shifting a bit to the sides. This means that the domain is all x belonging to the set R, since for any x value, we will get a corresponding point on the graph. For the range, it is simply the range of the y-values. From the graph, teh range is -4
Answer:
The function machine metaphor helps explain the definition and properties of a function. ... One tool for understanding functions is the function machine metaphor. Once you ... We can imagine it is some machine that does this transformation.
Step-by-step explanation:
https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:transformations/x2ec2f6f830c9fb89:symmetry/v/function-symmetry
this might help you.
Answer:
5, 8, 11 and 32
Step-by-step explanation:
For the first 3 terms, substitute n = 1, 2, 3 into the n th term formula
a₁ = 3(1) + 2 = 3 + 2 = 5
a₂ = 3(2) + 2 = 6 + 2 = 8
a₃ = 3(3) + 2 = 9 + 2 = 11
Similarly for tenth term, let n = 10
a₁₀ = 3(10) + 2 = 30 + 2 = 32
Since the circumference is 80, you know that the equation used was:

Divide by pi and you'd get d = 25.465
Divide that by 2 to get your radius.
25.465 / 2 = 12.723 = r
The area formula for a circle is

So,

= 508.544 square feet