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astraxan [27]
3 years ago
6

A line that is perpendicular to y=-4-10 passing through the point (8,11)

Mathematics
1 answer:
guapka [62]3 years ago
4 0

Answer:

Step-by-step explanation:

11=4(8)+b

11=32+b

-21=b

y=4x-21

i think

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-4m + 2n = 6<br> -4m + n = 8<br> solve for and x and y steps
hammer [34]

<u><em>I am doing this problem assuming that you mean to solve for m and n as x and y do not exist in this system of equations.</em></u>

<u><em /></u>

-4m+2n=6

-4m+n=8

We can see that the coefficient of x for both equations are -4; therefore, elimination with subtraction is possible.

<u>First equation - second equation</u>

n=-2

<u>Then substitude back in to solve for m</u>

-4m+(-2)=8

4m=10

m=5/2

Therefore the answer is

n= - 2

m= 5/2

I hope this helped and if you have any questions please ask.

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What is the angular velocity of a 6–foot pendulum that takes 3 seconds to complete an arc of 14.13 feet? Use 3.14 for π
iren2701 [21]
1) Calculate the whole arc (complete circumference):


Circumference = 2π*radius


radius = 6 foot


=> Circumference = 2 * 3.14 * 6 foot = 37.68


2) Calculate the time to make a whole round, by making a proportion with the two ratios:


 ratio 1 = x / 37.68 =


ratio 2 = 3 / 14.13


ratio 1 = ratio 2 =>

   x                  3s
----------  =   -----------
37.68 ft        14.13 ft


=> x = 3 * 37.68 / 14.13 = 8 s


3) Calcuate the angular velocity as the 2π rad (which is the total angle of a circle) divided by the time.


So the angular velocity is 2π rad / 8 s = 2*3.14 foot / 8 s = 0.785 rad / s



Answer: 0.785 rad / s


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Show how you can solve this proportion using both the cross‐product property and the reciprocal property.
vova2212 [387]

Answer:95

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