In order for two linear lines to be perpendicular, the product of their gradient must be -1.
Let's take y = x + b and y = -x + b
This is already in the form: y = mx + b, where m is 1 and -1 respectively.
Since the product of their gradient is -1, they are said to be perpendicular.
Answer: 50 meters
Step-by-step explanation: I just finished the pretest
Answer:
y = 1
Step-by-step explanation:
2 (y + 2) = 6
2y + 4 = 6
2y = 6 - 4
2y = 2
y = 2/2
y = 1
Answer:
14 days
Step-by-step explanation:
1. Convert the amount of work person A and B can do respectively in one day into fractions.
A = 1/16 B = 1/12
2. Get both fractions to a common denominator using the least common multiple. This is 48.
1/16 × 3 = 3/48 1/12 × 4 = 4/48
3. Add both fractions to find out how much work will be done in two days. We are doing this because we are working in a pattern, and this will allow us to multiply, which is more time efficient than repeatedly adding 3 and then 4.
3/48 + 4/48 = 7/48
4. Figure out how many sets of two days work (7/48) will get them to 48/48 (100% done) or closest to it without being under. This would be 7 sets.
7/48 × 7 = 49/48
5. Multiply 7 by 2. We are doing this because we worked in sets of two days to account for A working and then B, since they are taking turns.
7 × 2 = 14
6. It will take them 14 days.
This is a pythagorean theorem problem. The wires will make a triangle, with a 90° angle at the base of the tower. 92 foot is the hypotenuse of the triangle so we do
Solving this, b = 19.08 feet.
