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barxatty [35]
4 years ago
6

Michael and Michelle are skating on a downward path. Both are going downward at a 45 degree angle only Michael's path is higher

up. What kind of slope are they skating on and do they have the same or different slopes?
Mathematics
1 answer:
Nana76 [90]4 years ago
5 0

Answer:

they are on a negative slope. (Or positive, depending on what direction they are facing and from the viewers standpoint) they have the same slopes.

Step-by-step explanation:

Their paths look like this \\

the paths never intersect, so they are parallel, meaning they have the same slope and never intersect.

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7k + 4 (1/4k - 6) = 8k + 3k + 12​
erma4kov [3.2K]

Answer:

7k + 4( \frac{1}{4} k - 6) = 8k + 3k + 12 \\  \\ 7k + k - 24 = 11k + 12 \\ 8k - 24 = 11k + 12 \\  - 3k = 36 \\ { \boxed{ \boxed{k =  - 12}}}

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3 years ago
What is the length of leg y of the right triangle?<br> 84<br> 85<br> O1<br> 09<br> O 13<br> O 26
Softa [21]

Answer:

\boxed{\sf Length \ of \ leg \ y = 13}

Step-by-step explanation:

Pythagoras theorem states that <em>“In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”</em>.

\therefore  \\  \sf \implies {84}^{2}  +  {y}^{2}  =  {85}^{2} \\  \\   \sf {84}^{2}  = 7056 : \\   \sf \implies 7056 +  {y}^{2}  =  {85}^{2} \\  \\   \sf {85}^{2}  = 7225 :  \\  \sf \implies 7056 +  {y}^{2}  = 7225 \\  \\  \sf Substract \:  7056 \:  from \:  both \:  sides : \\  \sf \implies (7056 - 7056) +  {y}^{2}  = 7225 - 7056  \\  \\  \sf 7056 - 7056 = 0 : \\   \sf \implies {y}^{2}  = 7225 - 7056 \\  \\  \sf 7225 - 7056 = 169 : \\   \sf \implies {y}^{2}  = 169 \\  \\  \sf 169 =  {13}^{2}  :  \\  \sf \implies {y}^{2}  =  {13}^{2}  \\  \\  \sf \implies y =  \sqrt{ {13}^{2} }  \\  \\  \sf \implies y =   {13}^{ \cancel{2} \times  \frac{1}{ \cancel{2}} }  \\  \\  \sf \implies y =  13

So,

Length of leg y of the right triangle = 13

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Step-by-step explanation:

1/4x1/4=1/16

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