Answer:
The value of x = 5 and y =2
Step-by-step explanation:
Given: In parallelogram DEFG
DH = x+1 , HF= 3y , GH =3x-4 and HE = 5y+1.
In a parallelogram DEFG as shown below in the figure,
let H be the midpoint of parallelogram where the diagonals DF and GE of a parallelogram bisect each other.
then,by definition of parallelogram;
DH = HF and
GH=HE
Since, DH =HF
Substitute the given values above we get;
x+1 = 3y
or
x-3y = -1 ......[1]
and
GH = HE
3x-4 = 5y+1
or
3x - 5y = 5 ......[2]
On solving equation [1] and [2] simultaneously we get;
y =2
Substitute the value of y=2 in [1] we have;
x -3(2) = -1 or
x-6 = -1
Add 6 to both sides of an equation:
x-6+6 = -1+6
Simplify:
x = 5
Therefore, the values of x and y is; 5 and 2
Answer:
(6,0) I think
my memory is rusty on this subject sorry if it's wrong.
The equation represented in the graph is y = 1/3x^2
<h3>How to determine the equation represented in the graph?</h3>
From the graph, we have the following points
Vertex: (h, k) = (0, 0)
Point: (x, y) = (3, -3)
A quadratic equation is represented as:
y = a(x - h)^2 + k
Substitute (h, k) = (0, 0) in the equation
y = a(x - 0)^2 + 0
This gives
y = ax^2
Substitute (x, y) = (3, -3) in the equation
-3 = a(3)^2
This gives
9a = -3
Divide by 9
a = -1/3
Substitute a = -1/3 in y = ax^2
y = 1/3x^2
Hence, the equation represented in the graph is y = 1/3x^2
Read more about inequalities at:
brainly.com/question/776122
#SPJ1
Answer:
0.681
Step-by-step explanation:
Let's define the following events:
S: a Carter office worker is rated satisfactory
U : a Carter office worker is rated unsatisfactory
ND: a Carter office worker is placed by Nancy Dwyer
DN: a Carter office worker is placed by Darla Newberg
We have from the original text that
P(S | ND) = 0.8, this implies that P(U | ND) = 0.2.
P(S | DN) = 0.65, this implies that P(U | DN) = 0.35. Besides
P(DN) = 0.55 and P(ND) = 0.45, then we are looking for
P(DN | U), using the Bayes' formula we have
P(DN | U) = = =0.681