Isaiah walks 3 miles due north, turns and then 5 miles due east. How far is he from his starting point?
5.8
A 10-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the building does the ladder fall?
9.8
A television is measured by its diagonal. If the height of a 70 inch television is 42 inches, what is the width?
56
An equilateral triangle has a side length of 6. What is the height of the triangle?
5.2
A right triangle has a height of 12 and a width of 5. How long is the diagonal?
13
A string is tied to the top of a plant to keep it stabilized. The plant is 5 feet tall and the string is connected to the ground 2 feet from the base of the plant. How long is the string?
5.4
Answer: A
Step-by-step explanation:
Each y value is half of the x value.
The first relation gives two y-values for any given x-value (except x=6).
y² +x = 6 . . . . . is not a function
Let's call x1: The rate per hour of the number one mechanic. X2: The rate per hour of mechanic number two. The first thing you should do is identify the system of equations that best describes the problem. In this case it is a system of 2 equations with two unknowns which when solved gives a total of x1 = 85 $ / h and x2 = 50 $ / h. Attached solution.
Answer:
44 and 110
Step-by-step explanation:
The ratio of the 2 numbers = 2 : 5 = 2x : 5x ( x is a multiplier ) , thus
difference = 5x - 2x = 3x , then
3x = 66 ( divide both sides by 3 )
x = 22
Thus
2x = 2 × 22 = 44
5x = 5 × 22 = 110
The 2 numbers are 44 and 110
