Answer: they need to cover 0.25 miles.
Step-by-step explanation:
Let x represent the total distance that they have to cover to get to Bernie's house.
Beth and Billy are biking to their friend Bernie's house and after 1 mile, Beth and Billy have traveled 4/5 of the total distance to Bernie's house. This would be expressed as
4.5 × x = 1
4x/5 = 1
Multiplying the left hand side and the right hand side of the equation by 5, it becomes
4x/5 × 5 = 1 × 5
4x = 5
Dividing the left hand side and the right hand side of the equation by 4, it becomes
4x/4 = 5/4
x = 1.25
Therefore, the remaining distance that they need to cover to arrive at Bernie's is
1.25 - 1 = 0.25 miles
You can use the pythagoras’ theorem and just look at one right triangle.
The dimensions for one of the right triangles is (x/2), 8, and square root of 80.
a^2 + b^c = c^2
when c is the square root of 80.
Plug everything in
(x/2)^2 + 8^2 = (square root of 80)^2
That is equivalent to
((x^2)/4) + 64 = 80
Solve for x
((x^2)/4) = 16
Multiple by 4 on each side
x^2 = 64
Take the square root and you have you’re final answer
x = 8
Answer:
General Formulas and Concepts:
<u>Calculus</u>
- Derivative Notation
- Definition of a Derivative:
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = -10x
<u>Step 2: Find Derivative</u>
- Substitute:
- Distribute -10:
- Distribute -1:
- Combine like terms:
- Divide:
- Evaluate:
The decimal point separates them.
33)31
34) 31
35) 21
Check the last one to make sure it’s right . The first 2 I’m 100% sure they are correct
