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frozen [14]
4 years ago
9

Find the distance between the points A(10, –9) and B(8, 7). Round your answer to the nearest hundredth.

Mathematics
1 answer:
Wewaii [24]4 years ago
4 0
If you round to the nearest hundredth you get 2.82 as your final answer.

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What equation is perpendicular to y=2x-3 and<br> passes through (-1, 2)?
Wittaler [7]

Answer:

\[y=-\frac{1}{2}x+\frac{5}{2}\]

Step-by-step explanation:

Equation of the given line: \[y=2x-3\]

Slope of the line = \[2\]

Slope of the perpendicular line = \[-\frac{1}{2}\]

So the equation of the perpendicular line:

\[y=-\frac{1}{2}x+c\]

This passes through the point (-1,2).Substituting in the equation:

\[2=-\frac{1}{2}*(-1)+c\]

=> \[c=2+\frac{1}{2}\]

=> \[c=\frac{5}{2}\]

So the equation of the line :

\[y=-\frac{1}{2}x+\frac{5}{2}\]

4 0
3 years ago
Y= 4x +3, 4x + y =3 are they parallel or perpendicular
FrozenT [24]

Answer:

they are perpendicular  

Step-by-step explanation:

because the slope are opposite which means the lines intersect.

5 0
3 years ago
Read 2 more answers
3475 milliliters to liters
kirill115 [55]
3.475
hope this helps!!
3 0
3 years ago
Read 2 more answers
Can I have help with the question
sleet_krkn [62]

Answer:

Midpoint = (3.5, 4.5)

Perpendicular bisector = y =  \frac{7}{9} x + \frac{16}{9}

Step-by-step explanation:

[] We can solve this using the midpoint formula:

-> See attached

[] Plug-in our coordinates and solve:

(\frac{7+0}{2} ,\frac{0+9}{2} )=(\frac{7}{2} ,\frac{9}{2} )=(3.5,4.5 )

[] Now we will find the slope to solve for the perpendicular bisector.

-> We will use slope-intercept form, see attached

\frac{9-0}{0-7}=\frac{9}{-7}

-> The slopes of two perpendicular lines are negative reciprocals of each other, so \frac{7}{9} will be the slope of or perpendicular bisector

-> Now we can solve for the equation by using y – y1 = m ( x – x1), were y1 and x1 are the coordinates of our midpoint

y - 4.5 = \frac{7}{9} (x-3.5)

y - 4.5 = \frac{7}{9} x-\frac{49}{18}

y = \frac{7}{9} x-\frac{49}{18} + 4.5

y =  \frac{7}{9} x + \frac{16}{9}

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

6 0
3 years ago
What is the slope of this line?
HACTEHA [7]
The slope of this line is -1 because it goes down one and to the right one
6 0
4 years ago
Read 2 more answers
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