Answer:
The area of the trapezoid is 57.5 square inches
Step-by-step explanation:
we know that
The trapezoid QRST can be divided into a rectangle QRDT and an isosceles right triangle RSD
see the attached figure to better understand the problem
step 1
The area of rectangle is given by the formula

we have
----> altitude

substitute

step 2
Find the area of the isosceles right triangle
The area of triangle is given by the formula

we have
---> because is an isosceles triangle
substitute

step 3
Adds the areas

Answer:
1. (x +1)(x - 1)
2. (x+5)(x-5)
3. (x+12)(x-12)
4. (x+14)(x-14)
5. (x+5)(x-7)
Step-by-step explanation:
The first 4 expressions can be factored with the difference of squares type of factoring.
For #5, the odd one out is (x+5)(x-7) because it isn't a factor of any of the standard form equations, while the others are
Answer:
Its a Translation because all they did with it was move it. It never changed size or shape.
Step-by-step explanation:
The wording of this question is a bit confusing... You can't write a sequence in sigma notation, but rather a series or sum. I think the question is asking you to write the sum of the sequence,

which would be

in sigma notation.
To do this, notice that the denominator in each term is a power of 2, starting with
and ending with
. So in sigma notation, this series is

Answer:
D) 1
Step-by-step explanation:
Every whole number (including the ones on a die) are either even or odd, nothing else. So it is guaranteed for the number to be even or odd.