Answer:
Step-by-step explanation:
The vertex equation of a parabola is y - k = m(x - h)^2. This can be rewritten as y = a(x - h)^2 + k. Comparing this formula with the given f(x) = 9(x - 5)2 + 6, we see immediately that h = 5, k = 6 and a = 9. The vertex is at (h, k): (5, 6).
His destination took 50 minutes long
Answer:
No solution.
Step-by-step explanation:
Step 1: Write inequality
3(x - 2) + 1 ≥ x + 2(x + 2)
Step 2: Solve for <em>x</em>
- Distribute: 3x - 6 + 1 ≥ x + 2x + 4
- Combine like terms: 3x - 5 ≥ 3x + 4
- Add 5 to both sides: 3x ≥ 3x + 9
- Subtract 3x on both sides: 0 ≥ 9
Here we see that the statement is false. Therefore, you cannot solve for the inequality.
Answer:
4. A rectangle is a square
Step-by-step explanation:
A rectangle can be a square, but not always. A rectangle has 2 pairs of parallel sides, 2 pairs of congruent sides, and 4 right angles. Squares have 2 pairs of parallel sides, 4 congruent sides, and 4 right angles. So, the difference between the two is that adjacent sides are not necessarily congruent in rectangles, but they are in squares. This means that some rectangles can be a square. If a rectangle has all congruent sides, then it is a square. On the other hand, some rectangles do not have all congruent sides, and thus are not squares.
