Given:
DE contains the points D(1, -2) and E(3, 4).
FG contains the points F(-1, 2) and G(4, 0).
To find:
Is DE perpendicular to FG.
Solution:
Slope of DE:

Here 


m = 3
Slope of FG:

Here 



<em>Two lines are perpendicular if product their slopes are -1.</em>
Slope of DE × Slope of FG


≠ -1
The solution is no, because the product of the slopes is not -1.
Answer:
1). Yes
2). Yes
3). No
Step-by-step explanation:
1). y = 3
We can rewrite this equation in the slope-intercept form as,
y = 0.x + 3
Here, slope = 0
y-intercept = 3
Therefore, it's a linear relation.
YES.
2). 2x - 5y = 10
5y = 2x - 10
y = 
Therefor, it's a linear function.
YES
3). y = x(x + 3)
y =x² + 3x
Since, this equation is a quadratic equation,
It's not a linear function.
NO
helli I kaiahaahajkasn
Step-by-step explanation:
helli I kaiahaahajkasn
Answer:
Taylor will charge more by $15
Step-by-step explanation:
Given
Taylor
First Hour = $15
Hourly Rate = $10
Lucy:

For a dog walk of 2.5 hours.
Taylor's charges is:




Lucy's charges is:
Here, we consider
Because 
i.e 2.5 > 2
So, Lucy's charges is:


By comparison;
Taylor will charge more by $15
The difference is calculated by:

