Indicate the equation of the given line in standard form.
the line through the midpoint of and perpendicular to the segment joining points (1, 0) and (5, -2).

0.5x+y=0.5

Use the two points to find the slope. X changes by 4 while y changes by -2 so the slope is -.5. Then put it in point slope form. We'll use the point 1,0. So y-0=-0.5(x-1). Simplify it down to y=-0.5x+0.5 then carry over the x to the other side to 0.5x+y=0.5. That's how I did it, but there's probably a more efficient way to do it.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

happy to

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