Answer:
The distance A’C’ is 4.47 units
Step-by-step explanation:
Before we go on, we need to get the appropriate transformation
Mathematically, we have a 90 degrees clockwise rotation yielding the following;
(x,y) to (-y,x)
A is (-4,1)
C is (-2,5)
By transforming, we have
A’( -1,-4)
C’ (-5,-2)
To get the magnitude of the line segment, we are going to use the distance formula between points
We have this as;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-5-(-1))^2 + (-2-(-4))^2
D = √(-4)^2 + (2)^2
D = √(16 + 4)
D = √20
D = 4.47 units
Answer:
0.11111111111
Step-by-step explanation:
i hope this is right! if not im sorry!
Answer:
Anja’s phrase should have ended with “less than –15”, not “at least –15”.
Step-by-step explanation:
Given the statement:
Anja represents the inequality 
with the phrase “the quotient of the difference of 4 and a number and 8 is at least –15.”
Let the number be g.
“the quotient of the difference of 4 and a number and 8" translated to 
"at least" means 
then;
“the quotient of the difference of 4 and a number and 8 is at least –15.” translated to 
Therefore, Anja’s phrase should have ended with “less than –15”, not “at least –15”.
Answer:
24 degrees
Step-by-step explanation:
If you use 0 as kind of a benchmark it is really useful, frist you subtract 7, because it is our positive number., then you subtract 17 from 0, making -17.
7+17=24
Answer:
Inequality: 7.5x – 100 > 79.86 + 5.8x
Solution: x>106
The company must sell at least 106 items to make a profit.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Revenue: 7.5x – 100
Costs: 79.86 + 5.8x
To make a profit, a company’s revenue must be greater than its operating costs.
So:
7.5x – 100 > 79.86 + 5.8x
Solving for x (number of items sold)
7.5x-5.8x>79.86+100
1.7x >179.86
x>179.86/1.7
x> 105.8
x>106
The company must sell at least 106 items to make a profit.
Feel free to ask for more if needed or if you did not understand something.
