Answer:
y = x - 12
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 = - x ← is in slope- intercept form
with slope m = - , c = 0
Given a line with slope m then the slope of a line perpendicular to it is
= - = - = , then
y = x + c ← is the partial equation
To find c substitute (3, - 8) into the partial equation
- 8 = 4 + c ⇒ c = - 8 - 4 = - 12
y = x - 12 ← equation of perpendicular line
Answer:
x=6,y= 7
Step-by-step explanation:
-6x +7y= 13
-6x+8y=20
-y = -7
divide through by -1
y =7
sub y= 7 in equation 1
then x= 6
The value of g in the 20 sided regular polygon is 54.
<h3>How to find the angles of a regular polygon?</h3>
If all the polygon sides and interior angles are equal, then they are known as regular polygons.
The polygon given is a 20 sided regular polygon and the measure of each angle is 3g degrees.
Therefore, let's find g.
The sum of interior angles of a 20 sided polygon is as follows:
180(n - 2) = 180(20 - 2) = 180(18) = 3240
Therefore,
each angle = 3240 / 20 = 162
Hence,
162 = 3g
g = 162 / 3
Therefore,
g = 54
learn more on regular polygon here: brainly.com/question/16992545
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Answer:
$44
Step-by-step explanation:
Original price = $80
Discount on sale = 50%
Discounted price = (1 - 50%) * original price
Discounted price = 0.5 * $80 = $40
Sales tax = 10%
Sales tax amount = 0.1 * $40 = $4
Total cost = discounted price + sales tax amount
Total cost = $40 + $4 = $44
8(1-8p) + 8p
8 - 64p + 8p
8 - 56p
8 = 56p
1/7 = p