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10. The coordinates of C and D are 4 and -28 respectively, and F mdpt CD. Solve for:

a) m CD _ b) m CF_ c)m FD_ _d) the coordinate of F

User Ccocker
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1 Answer

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Answer:

a) mCD=7

b) mCF=7

c) mFD=7

d) F(2,-14)

Explanation:

Let the coordinates of C and D be (4,0) and (0,-28) respectively and F is the midpoint of CD

a) mCD

Slope formula


m= (y_2-y_1)/(x_2-x_1)


m= (-28-0)/(0-4)


m= (-28)/(-4)


m= 7

mCD=7

b) mCF

mCF=mCD

Hence mCF=7

c) mFD

mFD=mCD

Hence mFD=7

d) Coordinates of F : mid point formula

Mid points Formula


x= (x_2+x_1)/(2)


x= (0+4)/(2)=(0+4)/(2)=2


y= (y_2+y_1)/(2)=(-28+0)/(2)=(-28)/(2)=-14

coordinates of F are (2,-14)

10. The coordinates of C and D are 4 and -28 respectively, and F mdpt CD. Solve for-example-1
User Marcovtwout
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