Given ratio: 5 (goats) : (to) 8 (sheep.)
The question asked that if Giles had 32 sheep, then how many goats would he have. We can figure out how many goats he would have by cross multiplying fractions.
5 z
- x -
8 32
To figure out the z variable, we simply cross multiply 5 and 32, which gets us 160. Now we divide it by 8. Whatever we get for z, that is our answer for goats. The answer would be <span>20.
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(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>
T=I/Pr
t:500/(4000*0.025)
t: 5 yrs
Dear Random17, the question to your answer requires the use of the formula I=Prt. The equation will look like 500=4000(0.025)t. Multiply 4000 times 0.025 to get 500=10t. T=50 years.
A(3,4) B(-3,2) C(-2,-4) D(6,-3)
