Answer:
see explanation
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 is in this form with slope m = 3
• Parallel lines have equal slope
• The slopes of perpendicular lines are negative reciprocals of each other
A
y = - 
x - 8 has slope m = -
3 and - are negative reciprocals
This line is perpendicular to y = 3x + 2
B
y = 3x - 10 has slope m = 3
This line is parallel to y = 3x + 2
C
y = 2x + 4 has slope m = 2
This line is neither parallel nor perpendicular to y = 3x + 2
Answer:
- 120
Step-by-step explanation:
call x is the number you want to find
- (3/4 )x + 3
= (2/3)x - 6 - (3/4)x + (7/2) = (2/3)x - (13/2)
- (3/4)x - (2/3)x = - (13 /2) - (7/2)
- (1/12)x = -10
- x = -10 / (1/12) = -120
Area=l*w
5/8=10xw
dividing both sides by 10
w=5/80
w=1/16 inch
You are given 2cos² (4θ - 1). You are asked to s<span>implify the expression by using a double-angle formula.
Apply the double angle of the cosine function
</span>cos2θ = 2cos² θ - 1
Rearranging the expression and then substituting them
2cos² θ = cos2θ + 1
2cos² (4θ - 1) = cos 2(4θ - 1) + 1
cos2(4θ - 1) + 1
Roosters to chickens is 2 to 8
That means where there are 2 roosters, there are 8 chickens.
Simplify the ratio 2:8
The ratio can be simplified to 1:4
So, for 1 rooster, there are 4 chickens.
Now, the question says that if there are 5 roosters, how many chickens will there be?
1 rooster to 4 chickens
5 roosters to ? chickens
We went from 1 rooster to 5 rooster. We multiplied by 5.
To find out how many chickens there are for 5 roosters, multiply 4 chickens by 5.
4 * 5 = 20
Where there are 5 roosters, there will be
20 chickens.
Another way to solve is as follows:
Your final answer is
20 chickens.<span />
