(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>
This equation can be set up letting x be the hourly rate:40x+1.5x(52-40)=638 [40 times the rate, plus 1.5 times the rate for the hours over 40 equals the pay]40x+78x-60x=63858x=638x=11 hourly rate is $11/hr
(sinx)^2 = 1 when cosx is 0 at pi/2 and 3pi/2
cosx = 1 when sinx is 0 at 0
therefore, A
Answer:
64.5°
Step-by-step explanation:
it is the answer got it nd comment me
FOIL: First, Inner, Outer, Last.
(2x+3)(3x+2)
First: 2x•3x=6x^2 Inner: 3x•3=9x
Outer: 2x•2=4x Last:3•2=6
6x^2+9x+4x+6= 6x^2+13x+6
