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wolverine [178]

3 years ago

13

A map is drawn to a scale of 2 cm = 25 km. If two points are

1 answer:

Marysya12 [62]3 years ago

7 0

Answer:

92.5km

Step-by-step explanation:

By cross multiplication you will get 2x=7.4x25.(cross multiply map scale = 2cm and 7.4 put them under each other and for the actual distance it's 25 km and X cross multiply and that's how u get 2x=7.4*25) now u will multiply 7.4*25 u will get 185 and then divide by 2 on each side so the x is left alone (2x/2=185/2) which will give you x=92.5km.

I tried my best to explain it

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Vitek1552 [10]

Answer:

$y=-2x-4$

Step-by-step explanation:

<u>Perpendicular Bisector</u>

The bisector of a segment defined by points (x1,y1) and (x2,y2) must pass by the midpoint of the segment.

The midpoint (xm,ym) is calculated as follows:

$\displaystyle x_m=\frac{x_1+x_2}{2}$

$\displaystyle y_m=\frac{y_1+y_2}{2}$

The endpoints of the segment are (-3,-8) and (5,-4), thus the midpoint M is:

$\displaystyle x_m=\frac{-3+5}{2}=1$

$\displaystyle y_m=\frac{-8-4}{2}=-6$

Midpoint: M(1,-6)

Let's find the slope of the given segment. The slope can be calculated with the formula:

$\displaystyle m_1=\frac{y_2-y_1}{x_2-x_1}$

$\displaystyle m_1=\frac{-4+8}{5+3}=\frac{1}{2}$

If the bisector is also perpendicular, its slope m2 and the slope of the segment m1 must comply:

$m_1.m_2=-1$

Solving for m2:

$\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{\frac{1}{2}}=-2$

Once we have the slope -2 and the point through which our line must pass (1,-6), we compute the equation in its point-slope form:

$y-y_o=m(x-x_o)$

$y-(-6)=-2(x-1)$

Operating

$y+6=-2(x-1)$

$y+6=-2x+2$

Rearranging

$\boxed{y=-2x-4}$

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jenyasd209 [6]

Answer:

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Step-by-step explanation:

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3 years ago

Write an expression to represent: One more than the quotient of a number x and 4.

r-ruslan [8.4K]

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4 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Classify the indicated triangular shape by its sides and by its angles.

Angelina_Jolie [31]

Step-by-step explanation:

step 1. all the side length are different therefore all of the internal angles are different.

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3 years ago