Answer:
Hope this helps!
Step-by-step explanation:
Slope = 5/-2
Slope (m) =
ΔY
ΔX
=
5
-2
= -2.5
θ =
arctan( ΔY ) + 180°
ΔX
= 111.80140948635°
ΔX = -1 – 3 = -4
ΔY = 5 – -5 = 10
Distance (d) = √ΔX2 + ΔY2 = √116 = 10.770329614269
Equation of the line:
y = -2.5x + 2.5
or
y =
- 5 x
2
+ 5
2
When x=0, y = 2.5
When y=0, x = 1
Your goal is to isolate the x variable, so all you have to do here is subtract 6 on both sides.
Your final answer is x ≤ 2.
Hope this helps a lot! :)
I assume you're asking to convert 114₅ to base 10. We have
114₅ = 1•5² + 1•5¹ + 4•5⁰
114₅ = 25 + 5 + 4
114₅ = 34
Total purchase = (unit cost)(# of pounds purchased)
Here, that total is ($0.98/lb)(3.5 lb) = $3.43 (answer)
price after discount- $44-$11=$33
amount of tip- $4.95
bill after discount and tip- $37.95
amount of tax- $2.83
total bill- $40.78