Looking at this problem in terms of geometry makes it easier than trying to think of it algebraically.
If you want the largest possible x+y, it's equivalent to finding a rectangle with width x and length y that has the largest perimeter.
If you want the smallest possible x+y, it's equivalent to finding the rectangle with the smallest perimeter.
However, the area x*y must be constant and = 100.
We know that a square has the smallest perimeter to area ratio. This means that the smallest perimeter rectangle with area 100 is a square with side length 10. For this square, x+y = 20.
We also know that the further the rectangle stretches, the larger its perimeter to area ratio becomes. This means that a rectangle with side lengths 100 and 1 with an area of 100 has the largest perimeter. For this rectangle, x+y = 101.
So, the difference between the max and min values of x+y = 101 - 20 = 81.
Answer:
y+z=x
Step-by-step explanation:
we know that
The <u>Exterior Angle Property of a Triangle</u> states that the measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles
In this problem
Angle y and angle z are interior angles of triangle ABC and angle x is a exterior angle of triangle ABC
therefore
Applying the Exterior Angle Property of a Triangle
y+z=x
Answer:
88
Step-by-step explanation:
Find the prime factorization of both 8 and 11.
8 → 4 × 2 → 2 × 2 × 2
11 → 11
Then, multiply each factor the greater number of times it occurs. Since no factors are duplicated between 8 and 11 (as in, 2 is not a factor of 11, nor is 11 a factor of 8), LCM will equal 2 × 2 × 2 × 11.
2 × 2 × 2 × 11 = 88, so the LCM is 88.
It's a little hard to explain without visuals. A video could be useful, though I can't put links here.
It helps to imagine the variable a sort of as a unit. Like with 5 minus 12 lemons, it has no bearings on the addition/subtraction here.
Factor out a and subtract.
Answer:
7/20
Step-by-step explanation:
of = multiply
1/2 x 7/10
1 x 7 = 7
2x 10 = 20
7/20 can not be reduced.
so, the answer will be 7/20
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<u><em>hope it helps </em></u></h2>
