Answer:
8.12
Step-by-step explanation:
We obtain the distance between x and y
d = sqrt[(x2 - x1)² + (y2 - y1)²]
d = sqrt[(1 - 2)² + (2 - 6)²]
d = sqrt[1 + 16)
d = sqrt(17)
d² = 17
From Pythagoras rule;
Hypotenus = sqrt(Adjacent² + opposite²)
Hence,
Hypotenus = sqrt(17 + 7²)
Hypotenus = sqrt(17+ 49)
Hypotenus = sqrt(66)
Hypotenus = 8.124
Hypotenus = 8.12
Answer:
B. 24
Step-by-step explanation:
it takes 60 minutes for one and 40 for another. since you don't know the time. the denominator is going to be x. The equation to solve this problem will be x/60 + x/40 = 1. Since you're adding, you want to have the same denominator. ( i chose to do 120) this will change the problem to 2x/120 + 3x/120 = 1. which will simplify to 5x/120=1. Multiply each side by 120 to get 5x=120 and divide each side by 5 to get x=24.
D. g(x) = f(x) +9 is the right answer
Step-by-step explanation:
The shifting of graphs is mathematically denoted by adding or subtracting a number from the output or input.
When the graph is shifted up, a number is added to the functions's output
For example
For a function
f(x)
Shifting up is represented as g(x) = f(x)+b where b is a number
So,
Given function is:
f(x) = x
Shifting the graph 9 units upwards we will get
g(x) = f(x) + 9
Hence,
D. g(x) = f(x) +9 is the right answer
Keywords: Functions, Graphs
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