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givi [52]
3 years ago
8

Find a function g(x)=ax+b whose graph can be obtained by translating the graph of f(x) =3-x down 2 units and to the right 3 unit

s
Mathematics
1 answer:
Amanda [17]3 years ago
6 0
F(x)= 3-2-(x-3)= -x-2
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4 years ago
The triangular faces of the peaks on a roof are congruent isosceles triangles with vertex angles U and V.
Rina8888 [55]

Answer:

<em> (a). ∠UXV, ∠XVY ; (b). UV = 8 m .</em>

Step-by-step explanation:

3 0
3 years ago
Find the dimensions of the rectangle with maximum area that can be inscribed in a circle of radius 10.
Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

That will be a square with a diagonal of 20

side length of 20sin45

and area of (20sin45)² = 200 units²

prove it you say?

Area of a rectangle is base times height

A = bh

With a radius of 10, the diagonals of any rectangle inscribed will be 20 units

20² = b² + h²

h = \sqrt{400 - b^2}

A = bh

A = b\sqrt{400 - b^2}

Area will be maximized when the derivative is set to zero

           dA/db = \sqrt{400 - b^2} - b²/ \sqrt{400 - b^2}

                   0 = \sqrt{400 - b^2} - b²/ \sqrt{400 - b^2}

b²/\sqrt{400 - b^2} =  \sqrt{400 - b^2}

                  b² = 400 - b²

                2b² = 400

                  b² = 200

                  b = \sqrt{200}

h = \sqrt{400 - b^2}

h = \sqrt{400 - \sqrt{200}^2 }

h = \sqrt{200}

A = bh

A =  \sqrt{200}•\sqrt{200}

A = 200 units²

5 0
3 years ago
Use the permutation formula below to find the number of outcomes when n = 5 and r = 2.
faltersainse [42]

nPr =  \frac{n!}{(n - r)!}

5P2 =  \frac{5!}{(5 - 2)!}  =  \frac{5 \times 4 \times  3 \times 2 \times 1}{3 \times 2 \times 1}  = 20

8 0
2 years ago
Sophia's lemon tree is 45 inches shorter than her apple tree. The Apple Tree is 60 inches tall. Solve the addition equation to f
fenix001 [56]
Answer: 15 inches

Explanation:
The equation would be 60-45=15
4 0
3 years ago
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