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Mashcka [7]
2 years ago
5

PLEASE HELP ⁉️ POR FAVOR SOMEONE IM DESPERATE tHIS IS DUE IN THE mORiNG!

Mathematics
1 answer:
Makovka662 [10]2 years ago
3 0

Answer:

  • See below

Step-by-step explanation:

  • 1) Total points = 25
  • 2) Points earned = 21
  • 3) Percent score = 84%

<u>Proportion:</u>

  • 21 / 25 = 84% / 100%

Solving the others in the table

<u>21 out of 25 points:</u>

  • 21/25 = x/ 100 ⇒ x = 100*21/25 = 84

<u>15 out of 20 points:</u>

  • 15/20 = x/100 ⇒ x = 100*15/20 = 75

<u>47 out of 50 points:</u>

  • 47/50 = x/100 ⇒ x = 100*47/50 = 94

<u>28 out of 30 points:</u>

  • 20 / 30 = x/100 ⇒ x = 100*20/30 = 66.66

<u>19 out of 45 points:</u>

  • 19/45 = x/100 ⇒ x = 100*19/45 = 42.22

<u>3 out of 4 points:</u>

  • 3/4 = x/100 ⇒ x = 100*3/4 = 75
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Find the value of x.
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Answer:

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Step-by-step explanation:

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3 years ago
Find an equation for the perpendicular bisector of the line segment whose endpoints
TEA [102]

Answer:

y= -2x -8

Step-by-step explanation:

I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.

A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).

Let's find the gradient of the given line.

\boxed{gradient =  \frac{y1 -y 2}{x1 - x2} }

Gradient of given line

=  \frac{1 - ( - 5)}{3 - ( - 9)}

=  \frac{1 + 5}{3 + 9}

=  \frac{6}{12}

=   \frac{1}{2}

The product of the gradients of 2 perpendicular lines is -1.

(½)(gradient of perpendicular bisector)= -1

Gradient of perpendicular bisector

= -1 ÷(½)

= -1(2)

= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.

\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2})  }

Midpoint of given line

= ( \frac{3  -  9}{2} , \frac{1 - 5}{2} )

= ( \frac{ - 6}{2}  , \frac{ - 4}{2} )

= ( - 3 , - 2)

Substituting (-3, -2) into the equation:

-2= -2(-3) +c

-2= 6 +c

c= -2 -6 <em>(</em><em>-</em><em>6</em><em> </em><em>on both</em><em> </em><em>sides</em><em>)</em>

c= -8

Thus, the equation of the perpendicular bisector is y= -2x -8.

5 0
3 years ago
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