Answer:
(–5, –7)
Step-by-step explanation:
From the question given above, the following data were obtained:
Slope = 9/5
Coordinate 1 = (–10, –16)
x₁ = –10
y₁ = –16
Coordinate 2 = (x₂, y₂)
Next, we shall determine the change in x and y coordinate. This can be obtained as follow:
Slope = change in y–coordinate / change in x–coordinate
Slope = Δy / Δx
Slope = 9/5
9/5 = Δy / Δx
Thus,
Δy = 9
Δx = 5
Next, we shall determine the second coordinates as follow:
Δy = y₂ – y₁
Δx = x₂ – x₁
For x–coordinate:
x₁ = –10
Δx = 5
Δx = x₂ – x₁
5 = x₂ – (–10)
5 = x₂ + 10
Collect like terms
x₂ = 5 – 10
x₂ = – 5
For y–coordinate:
y₁ = –16
Δy = 9
Δy = y₂ – y₁
9 = y₂ – (–16)
9 = y₂ + 16
Collect like terms
y₂ = 9 – 16
y₂ = – 7
Coordinate 2 = (x₂, y₂)
Coordinate 2 = (–5, –7)
Answer:
x = 6
Option A.
Step-by-step explanation:
We know that
If A, B and C are collineal points, they all pass through a common line.
<--------------14-------------->
A-----------B----------------C
<-----x-----><------x+2---->
Based on the problem and the diagram above,
(x) + (x+2) = 14
(2x+2) = 14
(2x) = 12
(x) = 6
M>5=m>4
m>5 and m>7 are on line then m>5+m>7=180
by substituting
m>4+37=180
m>4=143
m>2=m>7=37
m>4=m>8
m<3+m>5=180
$21.21 × 6 = $127.26
$127.26 ÷ 7 = $18.18 cost of 1 pillow at Jenson's.
You multiply the cost of the pillow at Harrison's, $21.21, by the amount of pillows you can buy at Harrison's, 6.
Then divide the answer by the amount of pillows you can buy at Jenson's, 7. The final answer is the cost of 1 pillow at Jenson's.