Answer: g(x) = 3/2 x + 9
Step-by-step explanation:
h(x) = -2/3 x - 1
perpendicular lines always have the opposite sign, reciprocal slope
so, the slope of the perpendicular line would be: m = 3/2
y = mx + b
y = 3/2 x + b
plug in (-4, 3) to find b
3 = 3/2 (-4) + b
3 = -6 + b
b = 9
y = 3/2 x + 9
g(x) = 3/2 x + 9
Answer:
Option 3 is correct that is prime numbers.
Step-by-step explanation:
Even numbers are those which are divisible by 2
Prime numbers are the numbers which are divisible by 1 and the number itself
Since, we have to take only positive numbers
Carrie has taken out the set of even number within the set of prime number
So, 2 is the only number inside this eset because 2 is even as well as prime
Hence,universal set will be prime numbers
Therefore, Option 3 is correct that is prime numbers.
1 Multiply both sides by
4
x
4x.
−
3
=
−
3
2
×
4
x
−3=−
2
3
×4x
2 Simplify
3
2
×
4
x
2
3
×4x to
6
x
6x.
−
3
=
−
6
x
−3=−6x
3 Divide both sides by
−
6
−6.
−
3
−
6
=
x
−6
−3
=x
4 Two negatives make a positive.
3
6
=
x
6
3
=x
5 Simplify
3
6
6
3
to
1
2
2
1
.
1
2
=
x
2
1
=x
6 Switch sides.
x
=
1
2
x=
2
