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zhuklara [117]
3 years ago
12

Write an equation of the perpendicular bisector of the segment with endpoints M(10,-7) and N(-4,1).​

Mathematics
1 answer:
marin [14]3 years ago
6 0
(Step#1): Find the Perpendicular bisector of a line segment with endpoints

(Step#2): Find a Point on the perpendicular bisector
(Which is the midpoint of a given line segment)
Using the midpoint Formula which is:
(X3, Y3) = (X1 +X22, Y1 + Y22)

I Hope this helps you!!!
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WHAT IS THE LENGTH!!!
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The figure is a trapezoid (or trapezium), and the exact length of the trapezoid is 5 units

<h3>How to determine the length?</h3>

The figure is a trapezoid with the following parameters:

Area = 107.95

Base= 12

Height = 12.7

Length = x

The area of a trapezoid is:

Area = 0.5 * (Base + Length) * Height

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Mia has a $25 gift card for an online music store. She buys an album for $9.50 and wants to use the remaining money on the card
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Thus the option 3 is the correct option,

<h3>How to find factor of polynomial using X method?</h3>

X method is the method to find the factors of the polynomial equation.

The standard form of the quadratic equitation is given as,

ax^2+bx+c

Given information-

The equation given in the problem is,

x^2+13x-48

Compare the above equation with the standard form. We get,

a=1\\b=13\\c=-48

To find out the factor of above equation using X method, follow the steps.

  • Step 1) Multiply a and c and place ac at the top of X as shown in the image.

        ac=1\times(-48)\\ac=-48

  • Step 2) Place b at the bottom as shown in the image below.

       b=13

  • Step 3) Find two numbers that multiply the top number ac and to the bottom number b.

  • Step 4) Write the polynomial from the X box as,

         x^2+16x-3x-48=x(x+16)-3(x+16)

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Hence the factor of the given polynomial is,

x^2+16x-3x-48=(x+16)(x-3)

Thus the option 3 is the correct option,

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