Which transformations can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A’(–2, –2), B’(–1, –4), C’(–5, –4
Romashka [77]
The triangles ABC and A'B'C' are shown in the diagram below. The transformation is a reflection in the line
. This is proved by the fact that the distance between each corner ABC to the mirror line equals to the distance between the mirror line to A'B'C'.
Answer:
Step-by-step explanation:
The Fundamental Theorem of Calculus states that:
![\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt \right] = f(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%20%5Cint_a%5Ex%20f%28t%29%5C%2C%20dt%20%20%5Cright%5D%20%3D%20f%28x%29)
Where <em>a</em> is some constant.
We can let:
By substitution:
Taking the derivative of both sides results in:
![\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20g%27%28s%29%20%3D%20%5Cfrac%7Bd%7D%7Bds%7D%5Cleft%5B%20%5Cint_6%5Es%20g%28t%29%5C%2C%20dt%5Cright%5D)
Hence, by the Fundamental Theorem:
Answer:
193.2
Step-by-step explanation:
27.6x7 
Answer: its 62
Step-by-step explanation:
Isolate the radical, then raise each side of the equation to the power of its index.
Answer:
Step-by-step explanation:
Given the total cost of the building expressed as;
C = 4550F + 37.5
C is the total cost
F is the length of the fence
Given
C = $352.50
Required
The length of the fence F
Substitute into the formula;
C = 4550F + 37.5
$352.50 = 4550F + 37.5
4550F = 352.50 - 36.5
4550F = 316
F = 316/4550
F = 0.0695 feet
hence 0.0695 feet of fence will cost $352.50
