Step-by-step explanation:
given,
point = ( -10, -8 ) and ( -8, -16 )
we know,
slope = y2 - y1 / x2 - x1
x1 , y1 = (-10 , -8 )
x2 , y2 = ( -8, -16 )
after inserting the values we got,
→ -16 - (-8 ) / -8 - (-10)
→ -8/2 → -4
therefore, slope of line is -4.
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Answer:
K(-4,8) is the ortho center.
Step-by-step explanation:
In a right angled triangle, The vertex of the right angle is the ortho center.
Here we are given
J(-4,-1), K(-4,8) & L(2,8)
Using distance formula we get



So we can say that

By converse of pythagorean theorem we get

Hence the Vertex of the right angle is K(-4,8)
K(-4,8) is the ortho center.
The number of 10 chips stacks that Dave can make if two stacks are not considered distinct is 110.
The solution
To get the symmetric stacks, one has to subtract the symmetric stacks to know the ones that are asymmetric.
The symmetric are flipped. Given that they are double counted what we have to do is to divide through by 2.
6/2 = 3
10/2 = 5
4/2 = 2
1/2(10C6) - (5C3) + (5C3)
0.5(210-10+10)
= 110
Answer: 19.99cm
Step-by-step explanation: trust