Answer:
y=2x+1
Step-by-step explanation:
Parallel = gradients are the same
Example: y=2/4x+5
Perpendicular = gradients are the inverse of each other
Example: y= -4/2x+1
Any equation would be correct unless the gradient is 2/4 or -4/2
Answer:
(C)81
Step-by-step explanation:
Total Number of Students =300
Percentage who had cats, n(C) = 40%
Percentage who had both cats and dogs ,
= 12%
Percentage who had neither cats nor dogs,
=45%
Now:
Universal Set, 

Therefore:
Number of Students who had dogs
=27% of 300
=81
Answer:

Step-by-step explanation:
Given Equation:

Solving the bracket on L.H.S

Taking the terms of 'x' to one side and the constants to other side

The value of 'x' after solving the equation is:

D. The x and y values are both negative
0.5 < x < 16.5 given: Two sides of triangle: 8.0 units and 8.5 units
Measure of third side = x
According to the triangle's inequality,
Sum of any two sides > third side. (i)
Difference between the sides < third side. (ii)
If x is the third side, then
x < 8+8.5 [Using (i)]
i.e. x< 16.5
Also, x > 8.5-8 [Using (ii)]
i.e. x> 0.5
Hence, Range of possible sizes for side x would be 0.5 < x < 16.5.