ANSWER

EXPLANATION
The line given to us has equation,

We need to write this equation in the slope intercept form to obtain,


The slope of this line is

Let the slope of the perpendicular line be

Then


This implies that,


Let the equation of the perpendicular line be,

We substitute the slope to get,

Since this line passes through

it must satisfy its equation.
This means that,




Wherefore the slope-intercept form is
Answer:
Explanation:
<u />
<u>1) Horizontal component</u>
The horizontal component is related to the magnitude of the force by the cosine ratio:
Where α in the angle (-10º), Fx is the horizontal component, and | F | is the magnitude of the force (17).
- cos(-10º) = Fx / 17 ⇒ Fx = cos (-10º) × 17 = 16.74
<u />
<u>2) Vertical component</u>
The vertical component is related to the magnitude of the force by the sine ratio:
Where α in the angle (-10º), Fy is the vertical component, and | F | is the magnitude of the force (17).
- sin(-10º) = Fy / 17 ⇒ Fy = sin (-10º) × 17 = -2.95
<u />
<u>3) Form (x,y)</u>
Answer:
A: True
B, C and D: False
Step-by-step explanation:
We have a total sales tax for Alabama that is:

The total sales tax for Florida is:

The total sales tax is greater in Florida than in Alabama.
A. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by about $8. TRUE
The sales tax difference in this purchase can be calculated as:

B. The furniture set is cheaper in Florida, because the amount of sales tax will be lower by about $10. FALSE (it is cheaper in Alabama)
C. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by $10. FALSE (the sale tax in Alabama is $129)
The amount of sales tax in Alabama is:

D. The furniture set costs the same in either state, because the amount of sales tax will be the same for the two locations. FALSE (it is not the same in both states).
to get the numbers in step 3
multiply -1.6 by 3
then multiply -1.6 by 0.1
and add them together
answer is D) (–1.6)(3) + (–1.6)(0.1)