Answer:
(- 7, 4 )
Step-by-step explanation:
Given the 2 equations
5x + 3y = - 23 → (1)
y = 4 → (2)
Substitute y = 4 directly into (1_
5x + 3(4) = - 23, that is
5x + 12 = - 23 ( subtract 12 from both sides )
5x = - 35 ( divide both sides by 5 )
x = - 7
Solution is (- 7, 4 )
To find the length of the ladder, you need to do Pythagorean theorem.
50^2 + 30^2 = x^2
2500 + 900 = x^2
x^2 =3400
x= square root of 3400
58.31 OR 10 root34
To find the angle:
tan theta = opposite/adjacent
50/30 = 5/3
theta = tan inverse of 5/3
= 59.04
Answer:
40 miles over the speed limit
Step-by-step explanation:
You want the difference between the two numbers so you subtract 45 from 85 which gives you 40
To solve this you need to take the answer from the previous iteration.
Iteration 1: The answer is given
a1 = 300
Iteration 2: Solve using the equation. a(n-1) is the answer from the previous iteration. n = the number of the current iteration. So, a(n-1) = 300 and n = 2
a2 = 300/2 = 150
Iteration 3: a(n-1) = 150 and n = 3
a3 = 150/3 = 50
Iteration 4: a(n-1) = 50 and n = 4
a4 = 50/4 = 12.5
Answer: 12.5