What is the answer of question 17 in lesson 2.1 translations

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Step-by-step explanation:

The line representing Murphy street goes through point (0, 3) and has a slope of 2/1 = 2. Its equation is then ...

  y = mx + b

  y = 2x +3

The translation vector transforms this equation* by adding -1 to y, and replacing x with x-1.

  y = (2(x-1)) +3) -1

  y = 2x -2 +3 -1 . . . . eliminate parentheses

  y = 2x . . . . . . . . . . . the equation for Nolan street

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Of course, adding (1, -1) to the point (0, 3) moves it to ...

  (1, -1) +(0, 3) = (0+1, -1+3) = (1, 2)

The image of (0, 3) is (1, 2).

* f(x) is translated by (a, b) this way: g(x) = f(x-a) +b. Here, f(x) = 2x+3 is translated to f(x-1)+(-1) = (2(x-1) +3) -1.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.