Can someone please answer this for me ? thanks
2 answers:
Answer:
x=-4.5
Step-by-step explanation:
In the given triangle, Two sides are divided into equal part.
It means D and E is mid point of AB and AC.
Mid-point theorem: The line joining the mid points of sides of a triangle then line (DE) parallel to BC and DE is half of BC.
In the given figure, (Attachment)
DE = 3x+4
BC = 4x-1
[mid-point theorem]
Hence, The value of x is -4.5
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Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225
