(x - a)^2 + (y - b)^2 = (y - d)^2
<span>x^2 - 2ax + a^2 + y^2 - 2by + b^2 = y^2 - 2dy + d^2 </span>
<span>Subtract y^2 from both sides... </span>
<span>x^2 - 2ax + a^2 - 2by + b^2 = -2dy + d^2 </span>
<span>Now I would just substitute in the the values (a = -4, b = 17/8, d = 15/8)... </span>
<span>x^2 - 2(-4)x + (-4)^2 - 2(17/8)y + (17/8)^2 = -2(15/8)y + (15/8)^2 </span>
<span>Simplify... </span>
<span>x^2 + 8x + 16 - (17/4)y + 289/64 = -(15/4)y + 225/64 </span>
<span>Add (17/4)y to both sides... </span>
<span>x^2 + 8x + 16 + 289/64 = (2/4)y + 225/64 </span>
<span>x^2 + 8x + 16 + 289/64 = (1/2)y + 225/64 </span>
<span>Subtract 225/64 from both sides... </span>
<span>x^2 + 8x + 16 + 1 = (1/2)y </span>
<span>x^2 + 8x + 17 = (1/2)y </span>
<span>Multiply both sides by 2... </span>
<span>2x^2 + 16x + 34 = y </span>
<span>...which is equal to equation D.</span>
Since this is a isosceles triangle, x would be 50 degrees because 80 plus the two other angles which are equal (50) equals to 180 degrees
Answer:
213
Step-by-step explanation:
the equations for this is y=2x+13
just plug in x to find y
y=2(100)+13
y=213
Answer:
Table B
Step-by-step explanation:
Table A Input Output
5 3
5 2
4 1
Has an input that goes to 2 different outputs, not a function
Table B Input Output
1 2
3 2
5 3
one to one relation which is a function
Table C Input Output
0 0
1 2
1 3
Has an input that goes to 2 different outputs, not a function
Table D Input Output
4 2
4 3
4 4
Has an input that goes to 2 different outputs, not a function
