Find the missing side lengths of the following triangles: 1. Right triangle, hypotenuse (the side is blank with no variable either), adjacent = 11cm, opposite = x. The angle between the hypotenuse and the adjacent side is 42°. Next to the triangle there’s “x = ___ • ___”
2. (Not a right triangle), hypotenuse (blank with no variable), leg (let’s call it A) = 13.1cm, leg (let’s call it B) = 9.7cm. The degrees connecting leg A to the hypotenuse has the variable ‘a°’ and the angle connecting the hypotenuse to leg B is 42°. Next to the triangle is “a = ___ ___ ° (rounded)”
3. (Not a right triangle) hypotenuse = 15cm, leg (let’s call it A) = 9cm, leg (let’s call it B) = 11cm. The angle connecting leg A and B is labeled ‘b°’. Next to the triangle is “b = ___ ___ • ___ °”
4. How many triangles does ‘a = 6, b = 10, A = 33°’ create?

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above

The table shows values for functions f(x) and g(x) . x f(x)=−4x−3 g(x)=−3x+1+2 −3 9 179 −2 5 53 −1 1 1 0 −3 −1 1 −7 −7 2 −11 −25 3 −15 −79 what is the solution to f(x)=g(x) ? select each correct answer.

The function below is written in vertex form or intercept form. rewrite them in standard form and show your work. y = -3(x-2)(x-4)