I need help with this it’s about Function 8.F.2

Mathematics

1 answer:

Ymorist [56]3 years ago

3 0

Answer:

Step-by-step explanation:

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Write an equation of the perpendicular bisector of the segment with end points M(1,5) and N(7,-1)

vitfil [10]

The perpendicular bisector of the segment passes through the midpoint of this segment. Thus, we will initially find the midpoint P:

$P=\dfrac{(1,5)+(7,-1)}{2}=\dfrac{(8,4)}{2}=(4,2)$

Now, we will calculate the slope of the segment support line (r). After this, we will use the fact that the perpendicular bisector (p) is perpendicular to r:

$m_r=\dfrac{\Delta y}{\Delta x}=\dfrac{5-(-1)}{1-7}=\dfrac{6}{-6}\iff m_r=-1$

$p\perp r\Longrightarrow m_p\cdot m_r=-1\Longrightarrow m_p\cdot(-1)=-1\iff m_p=1$

We can calculate the equation of p by using its slope and its point P:

$y-y_P=m_p(x-x_P)\\\\
y-2=1\cdot(x-4)\\\\
y-2=x-4\\\\
\boxed{p:~~y=x-2}$

4 0

3 years ago

Please I need your help

Svetllana [295]

Answer:

249mm

Step-by-step explanation:

You find volume of the overall figure- 11 x 3 x 13= 429

Then find volumes of missing parts of overall complete figure and subtract from the overall volume....

5 x 4 x 3= 60

429-60=369

-------------------------------------

8 x 5 x 3= 120

369-120= 249

Hope this helped!! Hope you got it- please leave a rating and mark as Brainliest. Thank You :) (I really want to go to sleep right now, would have explained further, sorry)

8 0

4 years ago

the larger of two number is 15 more than three times the smaller number. If the sum of the two numbers is 63, find tge numbers.

irakobra [83]

X is the smaller number. 3x + 15 is the larger number. So x + 3x + 15 = 63. 4x + 15 = 63.
4x = 48. x = 12. (Smaller number) The larger 36 + 15 or 51.

6 0

4 years ago

Read 2 more answers

20 is what percent of 52

Harman [31]

Answer:

10.4%