What is the slope of this line?
2 answers:
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ANSWER
(-1, 8)
EXPLANATION
First we have to find the rule for this translation.
The image of the x-coordinate of the given point is 2 untis more than the point, so the rule for the horizontal translation is to add 2.
The image of the y-coordinate of the given point is 4 units more than the point, so the rule for the vertical translation is to add 4:
Therefore, the image of point (-3, 4) under the same translation is:
A complex number is a part of a number system that includes a real unit and an imaginary unit. All the statements are true except C and E.
<h3>What is a Complex Number?</h3>A complex number is a part of a number system that includes the real numbers as well as a particular element labelled i, sometimes known as the imaginary unit, and which obeys the equation i² = 1.
As it is given that x=(a+bi), y=(c+di), and z=(f+gi), therefore, we need to plug in the values to check which all are true.
A.) x+y=y+x
As the two sides of the equation are equal, the equation is true.
B.) (x × y) × z = x × (y × z)
As the two sides of the equation are equal, the equation is true.
C.) x−y=y−x
As the two sides of the equation are not equal, the equation is not true.
D.) (x+y)+z=x+(y+z)
As the two sides of the equation are equal, the equation is true.
E.) (x−y)−z=x−(y−z)
As the two sides of the equation are not equal, the equation is not true.
Hence, all the statements are true except C and E.
Learn more about Complex Number:
Answer:
(a) the number of 100W light bulbs is 11
(b) the daily cost of 2000 kW is $4,800
Step-by-step explanation:
charge of energy consumption up to 20 kWh = $0.05/kWh
charge of energy consumption above 20 kWh = $0.10/kWh
(a) number of 100 W light bulbs that can be run continuously for less than $10 per week
Total energy consumed by 100 W in 1 week = (0.1 kW) x (7 x 24 h)
= 16.8 kWh
Charge associated with this consumption = $0.05/kWh
let the number of 100 W light bulbs = n
Since 0.9 is not a whole number, the number of 100 W light bulbs is 11.
(b) if 2000 kW is used continuously
total energy consumption = 2000 kW x 24 h = 48,000 kWh
The daily cost is calculated as;