If you divide both sides by -4 you get

So, you wrote the equation in the form y=kx, and in this form k is the constant of variation. So, the constant is -2.
Answer:
3:20
Step-by-step explanation:
The 360 degrees clockwise rotation of the minute hand corresponds to 60 minutes.
The 90 degrees clockwise rotation is one-fourth of the 360 degrees, and hence will corresponds to 15 minutes.
The time is now 3:05.
After 15 minutes the time will be 3:20
Therefore the teacher dismisses the class at 3:20
Answer:
x=8
Step-by-step explanation:
I think you mean find x, not m.
since angle DEG and angle GEF are a linear pair, they equal 180º.
18x-9 + 4x+13 = 180
22x + 4 = 180
subtract 4 from each side
22x = 176
divide each side by 22
x=8
Answer:
=6√3 the third option.
Step-by-step explanation:
We can use the Pythagoras theorem to find the value of y. We need two equations that include y.
a²+b²=c²
c=9+3=12
x²+y²=12²
x²=144 - y².........i (This is the first equation)
We can also express it in another way but let us find the perpendicular dropped to c.
perpendicular²= x²-3²=x²-9 according to the Pythagoras theorem.
y²=(x²-9)+9²
y²=x²+72
x²=y²-72....ii( this is the second equation
Let us equate the two.
y²-72=144-y²
2y²=144+72
2y²=216
y²=108
y=√108
In Surd form √108=√(36×3)=6√3
y=6√3
Answer:
B
Step-by-step explanation:
If you're looking for direct correlation, you're looking for a proportion for the second box. So you set the ratio of 2.5:5.5 up as a fraction. 2.5/5.5 and set it equal to the second box 3/x.
2.5 = 3
5.5 x
cross multiply
16.5=2.5x
and divide
16.5/2.5 and you get your answer