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In-s [12.5K]
4 years ago
11

What is the exact distance between the point (-2,-1) and the point (6,8)

Mathematics
2 answers:
RUDIKE [14]4 years ago
6 0
The answer is B. Use distance formula...

d =  \sqrt{(6 + 2) {}^{2}  + (8 + 1) {}^{2} }
gavmur [86]4 years ago
5 0
I think he is right because he is
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7 0
3 years ago
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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

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4 years ago
MGSE8.G.8: Graph and label triangle PQR whose
AnnZ [28]

Answer:

Step-by-step explanation:

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3 years ago
A 2-column table with 6 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3. The second column i
sladkih [1.3K]
Answer:
(3,0)
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4 0
3 years ago
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