So our original equations would be..
(a) perimeter in terms of y
(b) area in terms of y
*I'm actually not sure about b.. sorry*
(c) if perimeter = 28, find length
Answer:
y>x-2
Step-by-step explanation:
When we see an inequality on a coordinate plane, we first treat it like a linear equation. The red inequality, or the red line, clearly has a positive slope. One can assume that this slope is 1. This line is also 2 units down, making the inequality x-2. There you have it!
Furthermore, we can tell it is the 1st choice because the line is dashed. In inequalities, the line is only dashed when the inequality contains < or >. Also, the shading is "above" the line, meaning the y must be greater than the line.
Answer:
42.39m Please round it to nearest tenth.I haven't rounded it
Answer:
707 feet above sea level
Step-by-step explanation:
2 hours and 25 minutes is about 2.4167 hours.
Therefore:
y=8.77x+686
y=8.77(2.4167)+686
y=21.1944+686
y=707.1944
So the hiker's elevation will be approximately 707 feet above sea level
Answer:
Let the number of digits be n and the number of elements in set be s.
<h3>When n = 1</h3>
- The set contains 1-digit numbers, 1 through 9,
- The set consists of 10 - 1 = 9 numbers.
<h3>When n = 2</h3>
- The set contains 2-digit numbers, 10 through 99,
- The set contains 100 - 10 = 90 numbers.
<h3>When n = 3</h3>
- The set contains 3-digit numbers, 100 through 999,
- The set contains 1000 - 100 = 900 numbers.
The pattern we see helps us determine the relationship between s and n as follows.
When set contains n-digit numbers, the set contains:
- s = 10ⁿ - 10ⁿ⁻¹ = 10ⁿ⁻¹(10 - 1) = 9*10ⁿ⁻¹ elements
We have s known, substitute it into equation above and solve for n:
- 900000000 = 9*10ⁿ¹
- 100000000 = 10ⁿ⁻¹
- 10⁸ = 10ⁿ⁻¹
- n - 1 = 8
- n = 9
The numbers in the set s are 9-digit long.
