The front of Josh’s roof is shaped like a triangle. It has a base of 100 feet and a height of 15 feet. What is the area of Josh’
2 answers:
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Answer:
see explanation
Step-by-step explanation:
the equation of parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier.
here (h, k ) = (3, 1 ) , then
y = a(x - 3)² + 1
to find a substitute any other point on the graph into the equation.
using (0, 7 )
7 = a(0 - 3)² + 1 ( subtract 1 from both sides )
6 = a(- 3)² = 9a ( divide both sides by 9 )
=
= a
y = (x - 3)² + 1 ← in vertex form
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the equation of a parabola in factored form is
y = a(x - a)(x - b)
where a, b are the zeros and a is a multiplier
here zeros are - 1 and 3 , the factors are
(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)
y = a(x + 1)(x - 3)
to find a substitute any other point that lies on the graph into the equation.
using (0, - 3 )
- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )
1 = a
y = (x + 1)(x - 3) ← in factored form
An obtuse triangle is formed if there is an angle that has a measure of more than 90 degrees. You can determine if an obtuse angle is formed by two sides of a triangle if it meet this condition:
Let a and b be two sides of a triangle and c is the longest side:
So taking your given:
< 
100 + 225 <
325 <
To get the smallest possible number, just get the square root of both sides:
< 
18.03 < c
So your smallest possible whole number is 19
Let a and b be two sides of a triangle and c is the longest side:
So taking your given:
100 + 225 <
325 <
To get the smallest possible number, just get the square root of both sides:
18.03 < c
So your smallest possible whole number is 19
Answer:
Step-by-step explanation:
there ya go
