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2 years ago

Solve using inequalities 6<k/9+7

Mathematics

1 answer:

valentinak56 [21]2 years ago

3 0

Answer:

Let's solve your problem step-by-step:

6 < k/9 +7

Step 1: Simplify both sides of the inequality:

6<1/9 k+7

Step 2: Flip the equation:

1/9 k+7 > 6

Step 3: Subtract 7 from both sides:

1/9 k+7 -7 > 6-7

1/9 k > - 1

Step 4: Multiply both sides by 9:

9 * (1/9) > (9) * (-1)

Answer: k > − 9

Step-by-step explanation:

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Hope this helps! Good luck! :)

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$\bold{\huge{\green{\underline{ Solution }}}}$

$\bold{\underline{ Given}}$

We have given that the coordinates of the end point G and H are ( -6,5) and ( 2, -7 )

$\bold{\underline{To \: Find :- }}$

We have to find the length of GH

$\bold{\underline{Let's \: Begin :- }}$

The coordinates of G = ( -6 , 5 )

The coordinates of H = ( 2 , - 7 )

According to the distance formula, we get :- 

$\purple{\bigstar}\boxed{\sf{Distance\:\:GH=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2\;}}}$

Here, x1 = -6 , x2 = 2 and y1 = 5 , y2 = -7

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$\sf{ Distance \:GH =√ 208}$

$\sf{ Distance\: GH = √ 2 × 2 × 2 × 2 × 13}$

$\sf{ Distance \:GH = 4√13}$

$\sf{\red{ Hence\: the \: length\:of \: GH \: is \: 4√13 \: units}}$

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Solve using inequalities 6<k/9+7​

Solve using inequalities 6<k/9+7