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To find the distance between (-3,4) and (3,-1), Jacob's teacher drew a diagram and marked blue lines to represent the legs of a right triangle. Jacob then used 52 and 62 to find the distance represented by the red segment. What distance did he find?

see the explanation

Step-by-step explanation:

see the attached figure to better understand the problem

Let

A(-3,4)

B(3,-1)

we know that

In the right triangle ABC of the figure

Applying the Pythagorean Theorem

where

AB is the hypotenuse of the right triangle

AC and BC are the legs of the right triangle

substitute the given values

so

Jacob found the square of the distance represented by the red line

step-by-step explanation:

in the absence of parentheses, i will have to make some assumptions:   i interpret your (3x+5/y^6)(4y^3/5)​ to mean:

3x + 5     4y^(3/5)       (3x + 5)(4)

* =

    y^6             1               y^(6-3/5)

if this is not what you expected, repost your question using parentheses to indicate whether you meant

4y^3

    or   4y^(3/5)

    5

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.