Answer:
61
Step-by-step explanation:
If you want only the middle number, then call it x
the largest of the 3 is x + 1
The smallest of the 3 is x - 1
Add
x + 1 + x - 1 + x = 183 Cancel the 1s out.
x + x + x = 183 Combine the like terms on the left
3x = 183 Divide by 3
x = 183/3 Do the division
x = 61
The middle number is 61
First we can find the perimeter of the given rectangle
P=2L+2W (L=length and W=width)
P=2*3+2*4
P=6+8
P=14
So now we want to come up with a different combination of numbers that would give up a perimeter of 14. We know that 14 is divisible by 2 so let's make out width 2. If we plug in 2 as the width and 14 as the perimeters, we can solve for length
14=2L+2*2
14=2L+4
10=2L (subtract 4 from both sides)
L=5
So the dimensions are 5 units and 2 units
Hope this helps!
Given:
The three equations for the three numbers are
To find:
The Pythagorean triple generated by using 4 for x and 1 for y.
Solution:
Substituting x=4 and and y=1 in the given equations, we get
In the same way find b and c.
The third number is
The required Pythagorean triple is 8, 15, and 17.
Therefore, the correct option is C.
-6-y / 3-7 = -2/3
-6-y / -4 = -2/3
Multiply through by -12:-
3(-6-y) = 8
-18 - 3y = 8
3y = - 26
y = -8 2/3
2x + y = 7
substitute
2x + (x+1) =7
combine like terms
3x+1 =7
subtract 1 from each side
3x =6
divide by 3
x=2
y = x+1
y =2+1
y=3
Answer: x=2, y=3
