Answer:
only A is correct
Step-by-step explanation:
To get the equation of the given line, we just have to see if the point given fits into any of the equation
The given point is (15,3)
a) y = 1/5x = 1/5 * 15 = 3
This is correct
b) y = -5(-75) = -375; this is not correct
c) y = 3x
y = 3(15) = 45
This is not correct
d) y = 15x
y = 15(15) = 225
This is incorrect
e) y = -1/5x
y = -1/5 * 15 = -3
This is incorrect
f) y = 5x
y = 5(15) = 75
This is also incorrect
If M is the midpoint of PQ, then PM and MQ are equal.
As PM and MQ are given, equal them to each other to solve for x.
7x+8 = 5x+20
subtract 5x on both sides to get 2x+8 = 20
subtract 8 on both sides to get 2x = 12
divide by 2 on both sides to get x = 6
Use the value of x = 6 and plug it into the equations for PM and MQ to find their value.
PM = 7x + 8
= 7(6) + 8 = 42 + 8 = 50
(You can already tell MQ is also 50 as PM and MQ are equal, but we will still solve for MQ just for the fun of it)
MQ = 5x + 20
= 5(6) + 20 = 30 + 20 = 50
PM = 50
MQ = 50
PQ = PM + MQ = 50 + 50 = 100
Hope this helped!
The first one is D and the second is A
160 of them are red
10 are blue
so that is 170 and 200-170=30
there are 30 green
Step-by-step explanation:
we don't see the complex numbers.
so, we cannot check their distances.
a suspicion, though.
sqrt(45) a distance between 2 complex numbers is
sqrt(a² + b²).
so,
a² + b² = 45
a nice combination of whole square numbers would be 6 and 3.
6² + 3² = 36 + 9 = 45
if that is the case, then that would mean one of the following committed numbers
6 + 3i
3 + 6i
-6 + 3i
6 - 3i
-6 - 3i
-3 + 6i
3 - 6i
-3 - 6i
one of these numbers must be the result of the subtraction of the 2 provided complex numbers.
remember
(a + bi) - (c + di) = a-c + (b-d)i