Answer:
10
Step-by-step explanation:
distance formula = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}
(x_1, y_1) = (5, 1)
(x_2, y_2) = (-3, -5)
\sqrt{ [(-3) - (5)]^2 + [(-5) - (1)]^2 }
\sqrt{ [-8]^2 + [-6]^2 }
\sqrt{ 64 + 36 }
\sqrt{ 100 }
= 10
2+2=4
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The equation that represents the line that is perpendicular is
3y + 5x = -42
The standard equation of a line in point-slope form is expressed as:

- m is the slope of the lne
- (x1, y1) is any point on the line.
- Given the equation y = 3/2x + 1, the slope of the line is 3/5
- The s<u>lope of the line perpendicular</u> is -5/3
Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:

Hence the equation that represents the line that is perpendicular is
3y + 5x = -42
Learn more on equation of a line here:brainly.com/question/19417700
The final cost of skateboard will be $83.10
Step-by-step explanation:
Given,
Cost of skateboard = $98
Coupon = 20% off
Amount of discount = 20% of cost of skateboard

Cost of skateboard after discount = Cost of skateboard - Amount of discount
Cost of skateboard after discount = 98 - 19.6 = $78.4
Sales tax = 6%
Sales tax amount = 6% of discounted price

Final cost of skateboard = Discounted price + Sales tax
Final cost of skateboard = 78.40+4.70 = $83.10
The final cost of skateboard will be $83.10
Keywords: sales tax, addition
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I need more information for this, the y-axis!