X + 2y = 6
2y = -x + 6
y = -1/2 x + 3 so slope = -1/2
parallel lines has same slope = -1/2
perpendicular lines slope is opposite and reciprocal so slope = 2
if slope not equal either -1/2 or 2 then neither.
y = -1/2 x - 5 ....m= - 1/2.... parallel
-2x + y = -4
y = 2x - 4...m = 2 ....perpendicular
-x + 2y = 2
2y = x + 2
y = 1/2 x + 1 ...m = 1/2 ...neither
x + 2y = -2
2y = -x - 2
y = -1/2 x - 1 ...m = -1/2 .....parallel
hope it helps
Answer:
50
Step-by-step explanation:
MHJ and LHK are vertical angles, which means they are equal
2x-20 = x+15
Subtract x from each side
2x-20-x = x+15-x
x-20 = 15
Add 20 to each side
x-20+20 = 15+20
x = 35
We want to find MHJ
MHJ =2x-20
=2(35) -20
= 70 -20
= 50
The population is increasing every year. so we use exponential growth function

Where 'a' is the initial population
r is the rate of increase
x is the years
y is the final population
In 2015, the population of a small town in Florida is 95
Initial population a= 95
r= 15%= 0.15
x = 2023 - 2015 = 8 years
Plug in all the values and find out y


y = 290.607
The population in 2023 is 291
Answer:
The table should measure diagonally about 41.23 inches.
Step-by-step explanation:
To find the diagonal of a rectangle we use the formula :
+
= 
A and B both represent the side lengths of the rectangle, while C is the diagonal part. Knowing this formula, let's plug in the values for A and B and see what happens.
+
= 
1024 + 676 = 
1700 = 
The square root of 1700 is (rounded to the hundreth's place) = 41.23
Answer:
2A/h - a = b
Step-by-step explanation:
Using A= 1/2(a+b)h
Divide both side by h
⇒A/h = 1/2(a + b)
Mutiply both sides by 2
⇒2A/h = a + b
Take the 2 over to the other side
2A/h - a = b
Keep in mind, that the (a) is not on the bottom, rather on its own