Answer:
5x + 2y = 12
Step-by-step explanation:
Direction factor = (2, 1) - (0, 6) = (2, -5)
So, normal factor = (5, 2)
Line: 5x + 2y = k
(0, 6) -> L: 0 + 12 = 12 = k
L: 5x + 2y = 12
Answer:
<h2>22 hours and 10 hours </h2>
Step-by-step explanation:
let the jobs be x and y, so that
x+y=32--------1
9x+7y=248----2
x=32-y
substitute x=32-y for x in equation 2 we have
9(32-y)+7y=248
open bracket we have
288-9y+7y=248
-2y=248-288
-2y=-40
2y=40
divide both sides by 2 we have
y=40/2
y= 10 hours
subtitute y=10 for y in equation 1 to find x
x+10=32--------1
x=32-10
x=22
x=22 hours
The Statement would be: 0.16 < 0.62
Let y = total cost of the taxi service.
let x = amount of miles
We need to create a system of equations to solve this problem.
Taxi company 1: y = $0.25x + $5
Taxi company 2: y = $0.50x + $1
Set the equations equal to each other
$0.25x + $5 = $0.50x +$1.
Subtract $0.25x from both sides and subtract $1 from both sides.
$4 = $0.25x
Divide both sides by $0.25.
16 miles = x
The companies will charge the same amount of money at 16 miles
In Luke's drawing, the height of the fountain is 4 cm. It is obtained after finding the real height of the fountain using the scale used by Isabella.
<h3>What is a scale?</h3>
A scale, in mathematics, is a ratio of the dimensions in a drawing to the actual dimensions. The formula is
<em>Scale = dimension in the drawing : actual dimension</em>
Given
- The scale from the fountain to Isabella's drawing is 6 m to 3 cm
- The height in Isabella's drawing = 5 cm
- The scale from the fountain to Luke's drawing is 5 m to 2
What is the height of the fountain in Luke's drawing?
The scale used by Isabella
= 3 cm : 6 m
= 3 cm : 600 cm
= 1 : 200
The actual height of the fountain
= dimension in the drawing × scale
= 200 × 5
= 1.000 cm
The scale used by Luke
= 2 cm : 5 m
= 2 cm : 500 m
= 1 : 250
The height in Luke's drawing
= the actual height ÷ scale
= 1.000 ÷ 250
= 4 cm
Hence, in Luke's drawing, the height of the fountain is 4 cm.
Learn more about scale here:
brainly.com/question/16870997
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