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vovangra [49]
3 years ago
11

So one please help just click on the picture

Mathematics
1 answer:
Vlad [161]3 years ago
6 0
That would be the SSS postulate. 
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Write the equation for the perpendicular bisector of the given line segment.
Anon25 [30]

Answer:

y=\frac{1}{3}x+\frac{5}{3}

Step-by-step explanation:

Let

A(-5,5),B(-2,-4) ----> the given segment

step 1

Find the slope AB

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the given values

m=\frac{-4-5}{-2+5}

m=\frac{-9}{3}

m=-3

step 2

we know that      

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

so

the slope of the perpendicular bisector is equal to

m_1*m_2=-1

we have

m_1=-3

substitute

(-3)*m_2=-1

m_2=\frac{1}{3}

step 3

Find the midpoint segment AB

A(-5,5),B(-2,-4)

The formula to calculate the midpoint between two points is equal to

M(\frac{x1+x2}{2} ,\frac{y1+y2}{2})

substitute the values

M(\frac{-5-2}{2} ,\frac{5-4}{2})

M(-\frac{7}{2} ,\frac{1}{2})

step 4

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=\frac{1}{3}

M(-\frac{7}{2} ,\frac{1}{2})

substitute

y-\frac{1}{2}=\frac{1}{3}(x+\frac{7}{2})

step 5

Convert to slope intercept form

y=mx+b

isolate the variable y

y-\frac{1}{2}=\frac{1}{3}x+\frac{7}{6}

y=\frac{1}{3}x+\frac{7}{6}+\frac{1}{2}

y=\frac{1}{3}x+\frac{10}{6}

simplify

y=\frac{1}{3}x+\frac{5}{3}

see the attached figure to better understand the problem

5 0
4 years ago
Help? please...........................................
nikklg [1K]

Answer:

b= - 3

Step-by-step explanation:

4(4b + 3) + 2b = 3(b - 11)

16b + 12 + 2b = 3b - 33

18b + 12 = 3b - 33

18b - 3b = -33 - 12

15b = - 45

b= \frac{-45}{15}

b = -3

3 0
3 years ago
Read 2 more answers
divide a x cubed space plus 3 x squared space minus b x minus 6 space b y space x to the power of 2 space end exponent plus 3 x
marta [7]

Answer:

ax^3+3x^2-bx-6/x^2+3x+2 ( Please specify the equation if I'm wrong)

Step-by-step explanation:

ax^3+3x^2-x^2-bx-3x-6-2

=ax^3+2x^2-x(b+3)-8

3 0
3 years ago
What is the distance between the points (4, 3) and (1, -1) on the coordinate
Delvig [45]

The distance between the points (4, 3) and (1, -1) on the coordinate plane will be 5 units. Then the correct option is C.

<h3>What is the distance between two points?</h3>

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D² = (x - p)² + (y - q)²

The points are given below.

(4, 3) and (1, -1)

Then the distance between the points will be

D² = (4 - 1)² + (3 + 1)²

D² = 3² + 4²

D² = 9 + 16

D² = 25

D = 5 units

Then the correct option is C.

Learn more about the distance between two points here:

brainly.com/question/16410393

#SPJ1

7 0
3 years ago
Whats 34* 12 i have no idea I'm only 9
Alinara [238K]
<h2 /><h2>34 \times 12 = 408</h2>

Multiply 1 & 2 from 3 and 4 respectively and add to get product.

<em>-</em><em> </em><em>BRAINLIEST</em><em> answerer</em>

3 0
3 years ago
Read 2 more answers
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