Answer:
length = 13 ft
Width = 3 ft
Step-by-step explanation:
Width = w ft
Length = ( w +10 ) ft
Area = 39 square ft
length * width = 39
(w +10)* w = 39
w *w + 10*w = 39
w² + 10w - 39 = 0
w² + 13w - 3w - 3*13 = 0
w(w + 13) - 3(w + 13) = 0
(w + 13) (w - 3) = 0 {Ignore w + 13 , as measurement cannot be in negative}
w - 3 = 0
w = 3
length = 3 +10 = 13 ft
The points of new triangle is (3,-2), (6,-3) and (2,-5).
<u>Step-by-step explanation:</u>
The given points in the triangle A(-3,7), B(9,3) and C(-7,-5).
The scale factor is
and centered at point (5,-5).
The formula to dilate a point that is not centered on a origin is given by,
D(x,y)=(h+t(x-h),k+t(y-t)).
where (h,k) is the center point.
To find A',


D(-3,7)=(5-2, -5+3).
D(-3,7)=(3,-2).
To find B',


D(9,3) = (5+1,-5+2).
D(9.3)=(6,-3).
To find C',


D(-7,-5)=(5-3,-5+0).
D(-7,-5)=(2,-5).
∴ The points of new triangle is (3,-2), (6,-3) and (2,-5).
Answer:
C
Step-by-step explanation:
Volume of a cylinder formula is
