Answer:
x=3 x= -1
Step-by-step explanation:
(x-3)(x+1)
x-3=0. x+1=0
x=3 x= -1
(100 5/8) / (14 3/8)
(805 / 8) / (115/8) =
805/8 * 8 / 115 =
805 / 115 =
7 <===
Hello!
We have been given enough information to answer this question!
We know that a square has four sides, and each of its sides are of equal length. We also know that the sides measure 2 feet long.
The rectangular painting is made up of two congruent squares. Congruent means they are the same.
The formula for the area of a square is:
A = a (squared)
Substitute:
A = 2 × 2 = 4
So, the area of one square is 4 ft. That means the area of both of the squares combined would be 8 ft.
So, the area of the entire painting is 8 feet squared. (Write a small two just above feet to indicate that it is squared).
Answer:
- shortest: 3 ft
- other: 4 ft
Step-by-step explanation:
The right triangle with hypotenuse 5 that has legs that differ by 1 is the 3-4-5 right triangle. The legs are 3 ft and 4 ft.
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<em>Alternate solution</em>
If you have never heard of a 3-4-5 right triangle, you can figure the leg lengths algebraically using the Pythagorean theorem. Let x represent the length of the "other" leg. Then the shortest is (x-1). The Pythagorean theorem tells you ...
5^2 = (x)^2 +(x -1)^2
25 = 2x^2 -2x +1
12 = x^2 -x = x(x -1)
Factors of 12 that differ by 1 are 3 and 4 or -3 and -4. We want x to be positive, so the value of interest is x=4
The "other" leg is 4 ft; the shortest leg is 3 ft.
