Answer:
The length of CD is 8 units
Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
we know that
According to the Right Triangle Altitude Theorem,

substitute the given values


solve the quadratic equation by graphing
The solution is x=8 or x=-6
see the attached figure N 2
Discard the negative length.
therefore
The length of CD is 8 units
Answer:
(c) y-2 = -4(x-3)
Step-by-step explanation:
The point-slope equation of a line is ...
y -k = m(x -h) . . . . . . line through point (h, k) with slope m
For (h, k) = (3, 2), and m = -4, the equation of the line is ...
y -2 = -4(x -3)
So the perimeter(P) of a rectangle would be:
P= 2L+2W
L being the length and W being the width.
The problem says the length is 4cm more than the width, so L= 4+W.
So if we substitute L with 4+W, we get:
P= 2(4+W) + 2W
Use the Distributive Property
P= 8+2W+2W
Combine like terms
P=8+4W
Since we're given the perimeter, we could replace P with 52. So:
52=8+4W
Subtract 8 to both sides
44=4W
Divide 4 to both sides
11=W
Therefore, the width is 11cm
And since the length is 4cm more than the width, we could add 4cm to 11cm to find that the length is 15cm
Thus, the dimensions of the rectangle are 15cm by 11cm
Answer:
12.3 feet of chain is your answer.
Answer:
vertex (5,2)
axis of symmetry: x=5
Step-by-step explanation:
vertex (h,k)
y = a(x - h)² + k
f(x)=(x-5)²+2 a = 1 h = 5 k = 2
vertex (5 , 2)
The axis of symmetry always passes through the vertex of the parabola. The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.
x = 5