Answer:
C. (-1.5, 8.875)
Step-by-step explanation:
on a coordinate plane if point(x1,y1) and (x2,y2) is divided by a point p in ratio of m:n then coordinate of point p is given by
p = (nx1 + mx2/ m+n, ny1+my2/m+n)
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Given point
A (-9, 4) and B (11, 17)
ratio 3:5
m:n = 3:5
m+n = 3+5 = 8
coordinate of point p that partition AB
x = (5*-9 + 3*11) / 5+3 y = (5*4 + 3*17) / 5+3
x = (-45 + 33) / 8 y = (20 + 51) / 8
x = (-12) / 8 y = (71) / 8
x = -3 / 2 = -1.5 y = 8.875
Thus, coordinate of point p is (-1.5, 8.875).
G( - 3 ) = 8 * ( - 3 ) + 2 = -24 + 3 = - 21 ;
( fog )(-3) = f( g(-3) ) = f( - 21 ) = 6 * ( -21 ) + 7 = - 126 + 7 = - 119
Answer:
- Son washed more
- Remaining 9/28 of the laundry
Step-by-step explanation:
<u>Make denominators common to see the difference in fractions:</u>
Son washed more laundry as 12/28 > 7/28
<u>Together they washed:</u>
- 7/28 + 12/28 = 19/28 of the laundry
<u>Remaining part is:</u>
- 1 - 19/28 =
- 28/28 - 19/28 =
- 9/28 of the laundry
49/12
Just mulitply the top and the bottom across.
7*7/4*3
49/12