Answer:
the answer is 97 °
Step-by-step explanation:
angles on a straight line add up to 180
so 180 -83 = 97°
There is no rate of change of Function 1. It's slope(rate of change) is zero.
Function 2 has a slope of 2.
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x-12-(6*x-18)=0
Step-by-step explanation:
Pull out like factors :
-2x + 6 = -2 • (x - 3)
Answer:
D
Step-by-step explanation:
-12/6= -2
x^10/x^8= x^2
y^3/y= y^2
Answer:
<em>It will occur zero times between midnight and one o'clock.</em>
Step-by-step explanation:
<u>Least Common Multiple (LCM)</u>
Three events keep James from sleeping: his clock ticking every 20 seconds, a tap dripping every 15 seconds, and his dog snoring every 27 seconds.
All three events happened together at midnight. They will happen together again the first time the numbers 20, 15, and 27 have a common multiple. This is the LCM.
List the prime factors of each number:
20: 2,2,5
15: 3,5
27: 3,3,3
Now multiply all the factors the maximum number of times they appear:
LCM=2*2*3*3*3*5=540
(a) All the events will happen together again after 540 minutes.
(b) Since 540 minutes = 9 hours, this event won't happen again until 9 am. Thus, it will occur zero times between midnight and one o'clock.