Simplify

C (√10)/2

Step-by-step explanation:

Multiply numerator and denominator by √10. Then you have ...

... (5√10)/10 = (√10)/2

Of course, you can always compare the given answers by using your calculator.

5/√10 ≈ 1.58114

The answer choices are ...

... A: 1.41421

... B: 2.23607

... C: 1.58114 . . . . matches the given expression in value

... D: 0.707107

If you're familiar with the square roots of small integers, you can do this last exercise in your head once you have calculated 5/√10. That is, you can eliminate choices A, B, and D.

... √2 ≈ 1.414; √3 ≈ 1.732; √5 ≈ 2.236

the square root of what number? if you add that, then someone will probably answer the question.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)