Question

HELP ASAP!!!!!!
Thank you so much

Answer 1

m:n=3:5

We know

`\boxed{\sf M(x,y)=\left((mx_2+nx_1)/(m+n),(my_2+ny_1)/(m+n)\right)}`

`\\ \sf\longmapsto M(x,y)=\left((3(7)+5(-1))/(3+5),(3(7)+5(1))/(3+5)\right)`

`\\ \sf\longmapsto M(x,y)=\left((21-5)/(8),(21+5)/(8)\right)`

`\\ \sf\longmapsto M(x,y)=\left((16)/(8),(26)/(8)\right)`

`\\ \sf\longmapsto M(x,y)=\left(2,(13)/(4)\right)`

Answer 2

• x_1=-1
• x2=7
• y1=1
• y2=7
• m:n=3:5

We know

`\boxed{\sf P(x,y)=\left((mx_2+nx_1)/(m+n),(my_2+ny_1)/(m+n)\right)}`

`\\ \sf\longmapsto p(x,y)=\left((3(7)+5(-1))/(3+5),(3(7)+5(1))/(3+5)\right)`

`\\ \sf\longmapsto p(x,y)=\left((21-5)/(8),(21+5)/(8)\right)`

`\\ \sf\longmapsto p(x,y)=\left((16)/(8),(26)/(8)\right)`

`\\ \sf\longmapsto p(x,y)=\left(2,(13)/(4)\right)`