The simultaneous equations is missing +8
Let the point_1 = p₁ = (1,4)
and point_2 = p₂ = (-2,1)
and Point_3 = p₃ = (x,y)
The line from point_1 to point_2 is L₁ and has slope = m₁
The line from point_1 to point_3 is L₂ and has slope = m₂
m₁ = Δy/Δx = (1-4)/(-2-1) = 1
m₂ = Δy/Δx = (y-4)/(x-1)
L₁⊥L₂ ⇒⇒⇒⇒ m₁ * m₂ = -1
∴ (y-4)/(x-1) = -1 ⇒⇒⇒ (y-4)= -(x-1)
(y-4) = (1-x) ⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ equation (1)
The distance from point_1 to point_2 is d₁
The distance from point_1 to point_3 is d₂
d =
d₁ =
d₂ =
d₁ = d₂
∴

⇒⇒ eliminating the root
∴(-2-1)²+(1-4)² = (x-1)²+(y-4)²
(x-1)²+(y-4)² = 18
from equatoin (1) y-4 = 1-x
∴(x-1)²+(1-x)² = 18 ⇒⇒⇒⇒⇒ note: (1-x)² = (x-1)²
2 (x-1)² = 18
(x-1)² = 9
x-1 =

∴ x = 4 or x = -2
∴ y = 1 or y = 7
Point_3 = (4,1) or (-2,7)
Answer:
The value of
. The figure is also attached below.
Step-by-step explanation:
Considering the expression

If we have to find the vale of
, then










Therefore, the value of
. The figure is also attached below.
Keywords: equation
Learn more about equation solution from brainly.com/question/13678520
#learnwithBrainly
Answer:
The brother would be 13
Step-by-step explanation:
14 - 6= 8
There's an 8-year difference
21 - 8= 13
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Since you can earn 28 dollars by washing 7 cars, and you want to find the amount money you can make by washing 6 cars.

First, you should find the amount of money you can make by washing 1 car (unit rate).

To get from 7 to 1, you have to divide 7 by 7; 7 ÷ 7 = 1.
Do the same thing to the numerator; 28 ÷ 7 = 4.
Now you know how much you make by washing 1 car, you need to find how much you make by washing 6 cars.

To get from 1 to 6, you multiply by 6. 1 times 6 equals 6.
Now do the same thing to the numerator; 4 × 6 = 24.
You can earn 24 dollars by washing 6 cars.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━