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A triangle has corners at (2 ,4 ), (7 ,6 ), and (4 ,9 ). How far is the . . . = 7 67 Centroid Formula is C = ((x_1+x_2+x_3) 3, (y_1+y_2+y_3) 3) where x_1, x_2, x_3 are the x-coordinates of the vertices of the triangle y_1, y_2, y_3 are the y-coordinate’s of the vertices of the triangle In our triangle, (x_1, y_1) = (2,4) (x_2,y_2) = (7,6) (x_3,y_3) = (4,9) The centroid coordinates are C = ((2+7+4) 3, (4+6+9) 3) => (13 3, 19 3) Distance from origin (0,0) to C(13 3
Circle A has a center at # (12 ,9 )# and an area of #16 pi#. Circle B . . . Yes First we need to find the radii of the circles We can do this using the formula for area: "Area=pir^2 Circle A pir^2=16pi r^2=16=>r=sqrt (16)=4 Circle B pir^2=67pi r^2=67=>r=sqrt (67) We now find the distance between the centres
How do you find the vertical, horizontal or slant asymptotes for f(x . . . The vertical asymptote is x=1 No horozontal asym`ptote The slant asymptote is y=x+2 The domain of f (x) is D_f (x)=RR- {1} As you cannot divide by 0, x!=1 The vertical asymptote is x=1 As the degree of the numerator is > than the degree of the denominator, we have a slant asymptote
Stoichiometry with Acid and Base Dissociation - Socratic The #K_a# of a monoprotic weak acid is #4 67 x 10^-3# What is the percent ionization of a 0 171 M solution of this acid? Will these reactions yield an acidic, basic or neutral solution? Mg was reacted with an excess of HCl dilute and the #H_2# gas produced collected in an eudiometer