For lines to be parallel, the slopes have to be the SAME.
To find the value of k, you can first find the slope of line 1 using the slope(m) formula, and plug in the points:
Now that you know the slope, you can use the slope formula to find k by plugging in what you know:
Multiply (5 - k) on both sides
Multiply -2 on both sides
5 - k = -2(7 + 1)
5 - k = -2(8)
5 - k = -16 Subtract 5 on both sides
-k = -21 Divide -1 on both sides
k = 21
Answer:
x = 
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = - 6 when x = 2, then
- 6 = 2k ( divide both sides by 2 )
- 3 = k
y = - 3x ← equation of variation
When y = - 22, then
- 22 = - 3x ( divide both sides by - 3 )
x = 
=
Answer:
Option (4)
Step-by-step explanation:
Party planner has used an arc of balloons for the parade.
This arc starts from x = 0 along the ground and f(x) defines the height of the arch.
From the table attached, it is clear that at x = 4 maximum height of the arch is 9.6 feet.
Therefore, clearance space below the arc is 9.6 feet which is greater than 9 feet, minimum height required for the clearance of the parade.
Option (4) will be the answer.
The answer would be D)90 degrees
Answer:
yes
Step-by-step explanation:
-34 is an integer and an integer is a rational number
