Answer:
1st Option;
j = 4.5
k = 2
Step-by-step explanation:
Let's solve for "j" first:
=> We know that by the definition of midpoint segment theorem we can say;
3j = 5j - 9
0 = 5j - 3j - 9
0 = 2j - 9
0 + 9 = 2j
9 = 2j
9/2 = j
4.5 = j
=> Now that we have j-value we use the same method to solve for k-value;
6k = k + 10
6k - k = 10
5k = 10
k = 10/5
k = 2
Therefore;
j = 4.5
k = 2
<u>So the first option would be correct!</u>
Hope this helps!
Answer:
400 m^2.
Step-by-step explanation:
The largest area is obtained where the enclosure is a square.
I think that's the right answer because a square is a special form of a rectangle.
So the square would be 20 * 20 = 400 m^2.
Proof:
Let the sides of the rectangle be x and y m long
The area A = xy.
Also the perimeter 2x + 2y = 80
x + y = 40
y = 40 - x.
So substituting for y in A = xy:-
A = x(40 - x)
A = 40x - x^2
For maximum value of A we find the derivative and equate it to 0:
derivative A' = 40 - 2x = 0
2x = 40
x = 20.
So y = 40 - x
= 40 - 20
=20
x and y are the same value so x = y.
Therefore for maximum area the rectangle is a square.
Answer:
3
Step-by-step explanation:
I can see it in the demonstration graph
Answer:
Hope this helps! If I could have brainliest I'm trying to rank up.
Step-by-step explanation:
First find the probability of each color being drawn.
We need to find the total number of marbles first.
4 + 3 + 6 = 13
Everything will be over 13.
Probability of a white marble being drawn --> 4/13
Probability of a blue marble being drawn --> 3/13
Probability of a red marble being drawn --> 6/13
Now to find the probabilities of more than one being drawn, we can multiply.
Part A:
6/13*6/13=36/169
Part B:
3/13*3/13=9/169
Part C:
6/13*6/13=18/169
Part D:
7/13*7/13=49/169
