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the minimum value is -2

Step-by-step explanation:

this is because when you graph a positive function (right side up u-shaped) the minimum value is always the vertex. when finding maximum and minimum value you always want to use the "y" part of the coordinate for example (x,y) or plugging in numbers let's say you have (2,3) the y coordinate would be 3. In the picture there is the function you are graphing and the vertex is at (0,-2) the minimum value (the y coordinate) is -2. If you wanted to find the maximum value of this function you would need a specific range like 5<x<4. you would need a range because the parabola actually goes on infinitely because there are no endpoints. a parabola is pretty much a u-shaped line on a graph. If the graph were negative meaning that the equation would look like this, -6x^2-2 then the graph would be an upsidedown u shape and the minimum value we just found would become the maximum value and you would need a special range to find the minimum in that case.

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.