You already know x+3y is 10 as they are both indicated as being the same on the diagram.
We then subtract 10 and 10 from the total perimeter, to figure out the top and bottom’s total length.
54-10-10=34
Now we add the top (3x-y) to the bottom (7x-2y) by collecting like terms.
3x-y+7x-2y=10x-3y
We form the simultaneous equation now.
x+3y=10
10x-3y=34
From here we can form a single equation.
x+3y+10x-3y=10+34
+3y and -3y cancel each other out so we now have:
x+10x=10+34
which is:
11x=44
Divide 44 by 11.
x=4
We now substitute x=4 into x+3y which we know equals 10.
(4)+3y=10
Subtract 10 by 4.
3y=6
Divide 6 by 3.
y=2
We now have the answer x=2 and y=4.
Answer:
Step-by-step explanation:
a.
4 people can be selected in ways=12 P4=12×11×10×9=11880
b.
4 women can be selected in ways=7P4=7×6×5×4=840
c.

Hey there! :D
Distribute the -6. Multiply everything by -6.
-6*14x= -84x
-6*-23x= 138x
-6*56= -336x
We now have: 138x-84x-336x
138x- 420x
-282x <== that is the answer
I'm assuming that is B, since there seems to be missing information.
I hope this helps!
~kaikers
Answer:
-9
Step-by-step explanation:
H(6) =.
The number in parentheses is the x value it will be equal to the y value.
When x = 6 the blue line is at y = 8
H(6) = 8