Triangle ABC has vertices of A(–6, 7), B(4, –1), and C(–2, –9). Find the length of the median from A) 4 b) square Root of 18
C) 8
D) Square root of 68
1 answer:
We know that
the median<span> is the segment that joins each vertex with the midpoint of the opposite side</span>
using a graph tool
see the attached figure
Step 1
Find the midpoint segment BC
<span>B(4, –1), and C(–2, –9)
</span>
Xm=(4-2)/2=1
Ym=(-1-9)/2=-5
the midpoint BC is (1,-5)
the length of median is the distance point A(-6,7) and midpoint BC (1,-5)
d=√(12²+7²)=√193=13.89 units
the answer is 13.89 units
the median<span> is the segment that joins each vertex with the midpoint of the opposite side</span>
using a graph tool
see the attached figure
Step 1
Find the midpoint segment BC
<span>B(4, –1), and C(–2, –9)
</span>
Xm=(4-2)/2=1
Ym=(-1-9)/2=-5
the midpoint BC is (1,-5)
the length of median is the distance point A(-6,7) and midpoint BC (1,-5)
d=√(12²+7²)=√193=13.89 units
the answer is 13.89 units
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Answer:
30units,2900
Step-by-step explanation:
Given that Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day.
The price function is p(x) = 700 − 5x, where p is the price (in dollars) at which exactly x motorbikes will be sold.
If x units are produced and sold we have
Costs for x units = variable costs *x +Fixed costs
Sales revenue = no of units sold * price =
Profit funciton = P(x) = Sales revenue - Total cost
=
To get maximum profit we use derivative test I derivative =0 and II derivative =negative
Producing 30 units will maximize the profit.
Max profit
=P(30) = 2900