Answer:
It is a little hard to see where your steps are for the equation, but x = 4, and I will explain:
Step-by-step explanation:
We know y = -1.5x +4, so we plug that into the equation
6x - 5(-1.5 + 4) = 34
6x +7.5x - 20 = 34 Here we distributed the -5 into the parenthesis.
13.5x -20 = 34
13.5 = 54
x = 4
Hope this helps!
Answer:
Distance between the surface and source of light will be increased by 6 meters.
Step-by-step explanation:
The illuminance of a surface varies inversely with the square of ts distance from the light source.
Let illuminance of the surface = x lumens per square meter
and distance from a light source = y meter.
Now x ∝ 
Or
[k = proportionality constant]
Now we will find the value of k.
k = xy²
k = 120×(6)²
k = 4320
We have to calculate the distance of the source if illuminance of the surface is 30 lumens per square meter.

y² = 
y² = 144
y = √144 = 12 meters
So the source of the light will be shifted away from the surface = 12 - 6 = 6 meters.
Answer: 1/4096
Step-by-step explanation:
4^-2 = 1/16
4^-4 = 1/256
multiplying them gives 1/4096
Answer:
y=24
Step-by-step explanation:
Straight line = 180°
collect like terms.
7y+12=180°
-12. - 12
7y=168°
÷7. ÷7
y=24