Answer:
Area of triangle = 20√2
Step-by-step explanation:
Formula:
Area of triangle = bh/2
b - base of triangle
h - height of triangle
<u>Distance formula</u>
d = √(x₂ - x₁)² +(y₂ - y₁)²
From the figure we can see that, the given triangle is right angled triangle.
Base = AC and Height = AB
<u>To find AB and AC</u>
A(1,3), B(4,7) and C(9, -5)
AB = √(4 - 1)² +(7 - 3)² = √(3² + 4²) = 5
AC = √(9 - 1)² +(-5 - 3)² = √(8² + -8²) = 8√2
<u>To find the are of triangle</u>
Area = bh/2 = (5* 8√2)/2 = 20√2
Therefore the area of triangle = 20√2 square units
Answer:
y=-2x + 8 which is the required equation
Which is option C
Step-by-step explanation:
Given:
Slope = m = -2
Given points are ( -2,12)
Which is
x = -2 and y =12
TO find:
Equation of line passing through these points = ?
Solution:
The point slope form of a line is
y = mx + c
Here we don't know the value of c
To find it
Putting y = 12 , x= -2 and y = -2 in the given equation
y = mx + c
Putting values it becomes
12 = (-2)*(-2) + c
12 = 4 + c
Subtracting 4 from both sides
12-4 = 4 -4 + c
8 = c
Now we have
m = -2 and c= 8
So equation of a line is given by
y = mx + c
Putting value of m and c
y = -2*x + 8
y=-2x + 8 which is the required equation
In the function, the thing that is represented is the area of the walkway along the length of the flower patch.
<h3>How to illustrate the function?</h3>
From the information given, Sam created function A to represent the total area taken up by the flower patch and walkway by multiplying the functions modeling the new total length and width.
Therefore, the thing that is represented is the area of the walkway along the length of the flower patch.
Learn more about functions on:
brainly.com/question/25638609
#SPJ1
Answer:
68719476736
Step-by-step explanation:
A= -5 is the correct answer
