Answer:
I don't know what kind of form your assignment wants it in, but the domain (span over the x axis) is -4<=x<=5, and the range is -3<=x<=5. Perhaps write it is as "-4 to 5" for domain and "-3 to 5" for range.
Step-by-step explanation:
Answer:
correct answer is 30 degrees
Answer: D. Two or zero
Step-by-step explanation: x=-7/6+-1/6√385
There isn't an exact place you could really solve this number, regardless of the way you break it down
Let L represent the ladder length, and x the distance the horiz. ladder reaches out from the wall. Then L = x + 3, where x is the distance of the bottom of the ladder from the wall when the top of the ladder is 9 ft. above the ground.
Consider the triangle formed by the hypotenuse (L, same as ladder length), the (vertical) side opposite the angle formed by the hypo. (with length 9 ft) and the horiz side (which we will call x). Then, according to the Pythagorean Theorem,
L^2 = x^2 + 9^2. But L = x + 3, and L^2 = x^2 + 6x + 9 = x^2 + 9^2. Solving this equation results in x=3. 6x + 9 = 9^2, or
6x + 9 = 81
6x = 72
x = 12
But L = x+3. So L=12+3, or L = 15 (feet).
Answer:
1. 2^9 = 512
2. 2^3 = 8
3. 7^3 = 343
4. 6^3 = 216
5. 3^6 = 729
Step-by-step explanation:
To start we have to express the number as a multiplication of prime numbers, from there we can take the expression as a power
1.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512
2^9 = 512
2.
2 x 2 x 2 = 8
2^3 = 8
3.
7 x 7 x 7 = 343
7^3 = 343
4.
6 x 6 x 6 = 216
6^3 = 216
5.
3 x 3 x 3 x 3 x 3 x 3 = 729
3^6 = 729
