Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse
<h3>Right angled triangle</h3>
A right angles triangle is a triangle that has 3 sides and angles with one of its angles to be 90 degrees.
For the given coordinates to be a right angled triangle, one of the line must be perpendicular to the other and for two lines to be perpendicular, the product of its slope must be -1.
Find the slopes of AB, BC and AC
Slope of AB = 5-11/1-6
Slope of AB = -6/-5 = 6/5
Slope of BC = 0-5/7-1
Slope of BC = -5/6
Slope of AC = 0-11/7-6
Slope of AC = -11/1. = -11
Take the product of AB and BC
AB * BC = 6/5 * -5/6
AB * BC = -1
Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse
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Step-by-step explanation:
Y- y1 = m (x-x1)
y+1 = 4(x+3)
y+1=4x+12
y=4x+11
Hey there!
The main concept of pre-algebra is solving equations for variables in them.
For example, let's say you have the algebraic equation below.
x+1=3
With algebra, you need to figure what x is equal to. To do so, you will use inverse operations on both sides of the equation to isolate x one side, showing what it is equal to.
We would subtract 1 to both sides to isolate x on one side.
x+1-1=3-1
As you can see, +1-1=0, therefore, this would give us x+0, or just x. Now it is isolated and will show us what it is equal to.
x=3-1
x=2
Therefore, in our equation x+1=3, x would be equal to 2.
I hope this explanation helps! Have a great time here at Brainly!
Answer:
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Step-by-step explanation:
