Question

show work please for both

Show that the equation represents a circle by rewriting it in standard form. x2 + y2 + 8x – 6y + 24 = 0 Find the center and radius of the circle. (x, y) = ( D.

Answer 1

we have x²+4² +8x=6y +24=0 5 x? +82 + y2-6y +24 = 0 = x+8x +16-16 + 4-67 +9-9 +24=0 >> x++84+16 +y?-6y+9-16-9+24-0 ) (+4) +(4-3)?- 25+24=0 = (x+42? +(4-3)?-1=0 → Get 4) +(4-3)? = 12 Clearly this represents a circle with centre at (-4,3) and radius I

门 :人 [(n-1] = (5-x):

Given earthquake measures 6:4 on the richter scale in Japan and earthquake of 3.1 on Richter Scaler in Pennsylvania We know that the magnitude of earthquake is M= log (1/2) where I is the intensity of earthquake and s be the Intensity of Standard earthquake let M. = magnitude of earthquake in Japan M₂ = Magnitude of earthquake in pennsylvania M, - G.4 and M2= 3.1

ܘܐ ܪܗ ܀ s ( f ܕ ܗܘܐ £ ܙܕ ܗܘܙܫܙ : :.11= Sx com, L= Sxiom Sxlo ܂ °1 ܙ2 - ev ܝܵܐ ܐ 5 995 . 26 ܐܢܐܟܘܐ.495ܐ - * Su Japan earthquake was 1995.26 times intense than Pennsylvania