Why is French still used as the language for commerce in Morocco and Algeria?

Find an equation for the perpendicular bisector of the line segment whose endpoints

zzz [600]

Answer:

y= -7/2x-26/2 or y= -7/2x-13

Explanation:

To solve this question you need all of these formulas:

gradient: $\frac{y2-y1}{x2-x1}$ , Point-Slope $y-y1=m(x-x1)$ ,

perpendicular m $(m1)x(m2)=-1$ , Midpoint $(\frac{x1+x2}{2}$ , $\frac{y1+y2}{2} )$

and equation of a line $y=mx+c$

where m stands for gradient

First things first.

To start you have to know the data of the line that includes the two endpoints, so you calculate its gradient (m) of this line with the gradient fromula: $m=\frac{-4-(-8)}{5-(-9)}$ , which equals 4/14 or 2/7

(It can also be called rise/run) (Remember the rule of signs where - and - equal +)

with that information you can proceed with the point-slope or point-gradient formula, so you plug the values: y-(-8) = 2/7 (x-(-9)), which results in y+8=2/7(x+9) and then y+8=2/7x+18/7.

To finish the equation you move eight to the other side. To simplify things you can change it into a fraction as I did, and remember to change signs.

y=2/7x+18/7 -8 -> y=2/7x+18/7-56/7 . This gives us the number of y=2/7x-38/7, which is the equation of the first line.

Now to know the gradient of the second line you apply the formula of perpendicular bisector where m1 x m2 = -1. We know m1 (gradient of the first line) is 2/7, so m2 = $\frac{-1}{2/7}$ = -7/2. m2 is therefore -7/2

Now you have to know the midpoint between the two endpoints, which will act as the start point of the perpendicular bisector

M (midpoint) = $(\frac{-9+5}{2} ,$ $\frac{8+(-4)}{2} )$ , which give us the coordinates of (-2, -6)

(remember, x coordinate is always first)

with this point we can apply again the point-slope formula to know the equation of the line:

y-(-6)=-7/2(x-(-2)) -> y+6=-7/2(x+2) -> y+6=-7/2x - 14/2

Move the 6 to isolate the y

y=-7/2x -14/2 - 12/2

which equals y= -7/2x -26/2

You can check the results in this page: GraphPlotter

https://www.transum.org/Maths/Activity/Graph/Desmos.asp

To make sure the answer is correct.

Hope it helps :)

8 0

2 years ago

Although the state of Alaska has more square mileage than any other U.S. state, it is one of the least populated in the country.

Likurg_2 [28]

Alaska gets extremely cold. and there are alot of dangerous parts that are hard to get to. alot of places in Alaska have to roads you would have to get flown into these parts. also in the summer it stays light 24/7 and in the winter it's always dark, this gets people really depressed.

~ang25

6 0

3 years ago

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How does deforestation affect the amount of water in rivers and the air we breathe?

dybincka [34]

Answer:

Internet Answer- Deforestation has an effect on global air quality because trees release water vapor into the air which affects atmospheric temperatures and other crucial elements that keep this earth of ours ticking over nicely... This inevitably results in all of us breathing dirtier and more polluted air than we otherwise would.

3 0

3 years ago

A ______ surf zone offer more protection from waves because the energy is dissipated over a ______ distance.

Fittoniya [83]

A wider surf zone offer more protection from waves because the energy is dissipated over a longer distance.

As ocean surface waves approach shore, they get taller and break, forming the foamy, bubbly surface called surf. The region of breaking waves defines the surf zone, or breaker zone. After breaking in the surf zone, the waves (now reduced in height) continue to move in, and they run up onto the sloping front of the beach, forming an uprush of water called swash. The water then runs back again as backwash. The nearshore zone where wave water comes onto the beach is the surf zone. The water in the surf zone is shallow, usually between 5 and 10 m (16 and 33 ft) deep; this causes the waves to be unstable.

The surf zone can contain dangerous rip currents: strong local currents which flow offshore and pose a threat to swimmers. Rip-current outlooks use the following set of qualifications.

Learn more about surf zone here

brainly.com/question/13338541

#SPJ4

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2 years ago

In what way does an earthquake provide evidence about the layers of Earth? Use complete sentences to write your answer.

Softa [21]

First off, let's look into how an earthquake happens:

As the plate move apart or collide given the convection current of magma, stress is built up with continuous plate movements. The pressure is then greater than the elastic strength of the rock. Rock breaks, the pressure of energy is released in the form of seismic waves. Ground vibrates, resulting in earthquake.

How it provide evidence about the layers of Earth, is that the lower the layer, the hotter it is, which then cause the convection current of magma to happen,hence affecting the lithosphere.

Hope it helps!

7 0

3 years ago

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