What do you need help on exactly?
Adjacent Angles are the angles that shares a common arm, where as the vertical angles are the ones that are exact opposite to each other.
Now, since we know the concept, let's dig in ~
The vertex of the given parabola is the point (3, 25).
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How to get the vertex of the parabola?</h3>
If the parabola has roots x₁ and x₂, then the vertex of the parabola is at:
xₙ = (x₁ + x₂)/2
Here the parabola is:
y = (-2 - x)*(x - 8)
We can rewrite that to:
y = -(x + 2)*(x - 8)
Then the two roots are:
x = -2 and x = 8
Then the vertex is at:
xₙ = (8 - 2)/2 = 6/2 = 3
To get the y-value of the vertex, we evaluate the equation in x = 3:
y = -(3+ 2)*(3 - 8) = -5*(-5) = 25
The vertex is (3, 25).
If you want to learn more about parabolas:
brainly.com/question/4061870
#SPJ1
Answer:
the length of the third side is 12.1m
Step-by-step explanation:
by Pythagoras we know the relationship of the sides of a rectangular triangle that is given by the formula h^2 = l1^2 + l2^2
h = hypotenuse = 14m
l1 = leg1 = 7m
l2 = leg2
h^2 = l1^2 + l2^2
14^2 = 7^2 + l2^2
196 = 49 + l2^2
196 - 49 = l2^2
147 = l2^2
√147 = l2
12.124 = l2
rounding to the nearest tenth
l2 = 12.1