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Mathematics, 30.06.2019 12:40 destinymccray35

Substitute the values of x and y into the expression -3x^2 + 2y^2 + 5xy - 2y + 5x^2 - 3y^2. match that value to one of the numbers. 1. x=2 y= - = 14 2. x=0 y=2. = 1.665 3. x= -1 y= - = -1 4. x= .5 y= -1/ =  9.17 5. x= 3/4 y= 2/ = -11.25 6. x= square root of 2 y= square root of = 0.44

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isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem, a^2+b^2=c^2

in this case, a=b since isocolese triangle so we get

2a^2=c^2 or a=\frac{c}{\sqrt{2}}

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

(x-x_a)^2+(y-y_a)=(\frac{c}{\sqrt{2}})^2 and

(x-x_b)^2+(y-y_b)^2=(\frac{c}{\sqrt{2}})^2 intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough

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