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becddjr
27.06.2020 •
Mathematics
What is the area of this triangle? Enter your answer in the box. units² A triangle D E F is graphed on a coordinate plane. The horizontal x-axis ranges from negative 5 to 2 in increments of 1. The vertical y-axis ranges from negative 2 to 2 in increments of 1. The vertex labeled as D is located at beginning ordered pair negative 1 comma negative 2 ends ordered pair. The vertex labeled as E lies at beginning ordered pair negative 5 commas 2 end ordered pair. The vertex labeled as Flies at beginning ordered pair 2 commas 2 ends ordered pair.
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Ответ:
The area of the triangle is 16 unit²
Step-by-step explanation:
Area of a triangle given coordinates
D = (-1, -2)
E = (-5, 2)
F = (2, 2)
We note that the formula for finding the are triangle given the coordinates if presented as follows;
A = (x₁·y₂ + x₂·y₃ + x₃·y₁ - x₁·y₃ - x₂·y₁ - x₃·y₂)/2
Where:
D = (x₁, y₁)
F = (x₂, y₂)
E = (x₃, y₃)
Therefore;
x₁ = -1, y₁ = -2, x₂ = 2, y₂ = 2, x₃ = -5, y₃ = 2
Which gives;
A = ((-1)*(-2) + 2*2 + (-5)*(-2) - (-1)*2 - 2*(-2) - (-5)*2)/2
A = ((-1)·(-2) + 2·2 + (-5)·(-2) - (-1)·2 - 2·(-2) - (-5)·2)/2 = 16
The area of the triangle = 16 unit².
Ответ:
f(x) = √x+5)
x+5 ≥ 0 ... x ≥ -5
domain is : [,-5 ; + ∞ [