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2 years ago

2. The Larsons use the average of six months as their budget starting

Mathematics

1 answer:

Andrew [12]2 years ago

6 0

Answer:

*explains the user there u go

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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

2 years ago

Evaluate Y - R for R= -2 and Y= -7

Semmy [17]

Answer:

Step-by-step explanation:

-2 - (-7)

you have to do the opposite of the sign and switch the last number from neg to pos

8 0

2 years ago

Is -7+9 equal to -9+7

sdas [7]

The two expressions are not equal

8 0

1 year ago

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Help. Calculus question.

elixir [45]

Answer:

64π/5 cubic units.

Step-by-step explanation:

The line x = 2 and y = x^3 intersect at the point (2 , 2^3) = (2, 8).

The required volume = volume of the cylinder with height 8 and radius 2 - the volume of shape form between the curve and the y axis when revolved about the y-axis.

Using the disk method for volumes of revolution:

Note that x = y^1/3 so:

the second volume = Integral π ((y^1/3)^2) dy between y = 0 and y = 8.

= 3/5 y^5/3 * π between 0 and 8

= 96π/5.

The required volume = π 2^2 *8 - 96π/5

= 32π - 96π/5

= 64π/5.

4 0

2 years ago

Evaluate 625-625÷25-25

salantis [7]

Hi !

625 - (625 ÷ 25) - 25 = 575

4 0

2 years ago

Read 2 more answers