Answer and work is in the picture !
<u>Answer-</u>
<em>The coordinates of the orthocenter of △JKL is (-4, 8)</em>
<u>Solution-</u>
The orthocenter is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.
For a right angle triangle, the vertex at the right angle is the orthocentre of the triangle.
Here we are given the three vertices of the triangle are J(-4,-1), K(-4,8) and L(2,8)
If the triangle JKL satisfies Pythagoras Theorem, then triangle JKL will be a right angle triangle.
Applying distance formula we get,

As,




Therefore, the vertex at K (-4, 8) is the orthocentre.
B. Is the right answer
First you have to take the common elements then use an identity/formula to get the rest
x^3 - 3x^2 + x-3
x^2 (x-3) +1 (x-3)
(x^2 +1) (x-3)
(x-1)(x+1)(x-3) {using a^2-b^2 on x^2-1^2}
The answer is 11.2 which means 11 1/5
Answer:
Length is 22.5 ft
Width is 16.5 ft
Step-by-step explanation:
4L-w=73.5
4L=73.5+w
L=(73.5+w)/4
P=78
P=2L+2w
78=2[(73.5+w)/4]+2w
78=(73.5+w)/2+2w
78=(73.5+w+4w)/2
2•78=73.5+5w
156=73.5+5w
156-73.5=5w
82.5=5w
82.5/5=w
16.5=w
L=(73.5+w)/4
=(73.5+16.5)/4
=90/4
L=22.5