first lets normalize the equation into y=... form. We can do this by dividing all by 4:
y=(5/4)x - 2
5/4 is the gradient of this line. The perpendicular line will have the negative reciprocal gradient, ie., -4/5, so we're looking for a value of -4/5 in front of the x.
That's only answer B. But it has to go through (-5,4). If you fill in -5, you get -5*-4/5 = +4. So y=(-4/5)x is indeed the correct answer.
It would be 76 degrees because it’s a vertical angle
The number of combinations of 2 health care providers of different types possible are 47.
<u>Explanation:</u>
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Doctors = 4
Dentists = 3
Nurses = 5
combinations of two different health care providers = ?
Combination would be = ⁴C₁ X ³C₁ + ³C₁ X ⁵C₁ + ⁴C₁ X ⁵C₁
ⁿCₐ = n! / ( n - a )! X a!
So on calculating the combination we get,
= 4 X 3 + 3 X 5 + 4 X 5
= 12 + 15 + 20
= 47
Therefore, the number of combinations of 2 health care providers of different types possible are 47.