Step-by-step explanation:
For two points (x₁, y₁) and (x₂, y₂), the distance between them is:
d² = (x₁ − x₂)² + (y₁ − y₂)²
The order of points 1 and 2 don't matter. You can switch it:
d² = (x₂ − x₁)² + (y₂ − y₁)²
This is basically the Pythagorean theorem for a coordinate system.
Let's do an example. If you have points (1, 2) and (4, 6), then the distance between them is:
d² = (4 − 1)² + (6 − 2)²
d² = 3² + 4²
d² = 9 + 16
d² = 25
d = 5
If you have points with negative coordinates, remember that subtracting a negative is the same as adding a positive.
For example, the distance between (-1, -2) and (4, 10) is:
d² = (4 − (-1))² + (10 − (-2))²
d² = (4 + 1)² + (10 + 2)²
d² = 5² + 12²
d² = 25 + 144
d² = 169
d = 13
Answer: 112 feet
Step-by-step explanation:
Answer: the above stated equation is a quadratic equation
Step-by-step explanation:
Given the following equations
y = x^2 + 5x - 3....equation 1
y-x = 2
y = x + 2........equation 2
Let equation 1 equal equation 2
x^2 + 5x -3 = x + 2
Bringing the equation to one side and equating to zero
X^2 +5x - 3 -x -2 = 0
X2 + 5x -x -3 -2 = 0
X^2 + 4x -5
Solving the aquatic equation
(x + 5)(x -1) = 0
X + 5 = 0
X1 = -5
X- 1 = 0
X2 = 1
To prove:
Substitute the values for x1and x2 into the equation x^2 + 4x - 5 = 0
Answer:
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Step-by-step explanation:
▪Picture 1. x = 28
-
▪Picture 2. I don't know what in trying to solve.
▪Picture 3.
•ABC = 50
•DEF = 95
•GHI = 65
•JKL = 55
▪Picture 4. I dont know how to do that
Answer:
(d) 60 kobo
Step-by-step explanation:
36 divided by 12 = 3
3 x 20 = 60
Hope this helps!