Answer:
see explanation
Step-by-step explanation:
(a)
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition when x = 3, y = 18 , then
18 = 3k ( divide both sides by 3 )
6 = k
y = 6x ← equation of proportion
(b)
(i)
when x = 12 , then
y = 6 × 12 = 72
(ii)
when y = 42
42 = 6x ( divide both sides by 6 )
7 = x
Answer:
Angle R is 99 degree
Angle Y=48 degrees
Angle T is 33 degrees
Step-by-step explanation:
Let angle T be x
Angle R will be 3x
Angle Y will be x+15
Total=x+3x+x+15=5x+15
5x+15=180
5x=165
x=165/5=33
Therefore, angle T is 33 degrees, angle Y=15+33=48 degrees and angle R=33*3=99 degrees
Yes because in Mrs. Benson‘s class there are 20 students and in Mrs Tracy’s class there are only 18
Answer:
Step-by-step explanation:
Given
Required
Evaluate 
Expand
Further expand
Apply product rule of logarithm
Substitute values for log(7) and log(3)
Answer:
The equation is in the form y=mx+b, where m=slope, b=y-intercept.
The y-intercept is 35: so the line goes through the y-axis at (0,35).
The slope is 25: so we need to count out the slope as rise over run, or 25 up and 1 to the right, starting from the y-intercept.
