Show step by step. i'll give it the brainliest for the right answer the slope of the line passing through (k+3,12) and (8,14+k) is 10. find the value of k. express your answer as a simplified improper fraction.

48/11 =k

Step-by-step explanation:

The formula for slope is

m = (y2-y1)/ (x2-x1)

where (x1,y1) and (x2,y2) are two points

We have the slope of 10 and two points (k+3,12) and (8,14+k)

10 = (14+k-12)/(8-(k+3))

10 = (2+k)/(8-k-3)

10 = (2+k)/(5-k)

Multiply each side by (5-k) to clear the fraction

10(5-k) = (2+k) /(5-k) *(5-k)

10(5-k) = 2+k

Distribute the 10

50 -10k = 2+k

Add 10k to each side

50-10k+10k = 2+k+10k

50 = 2+11k

Subtract 2 from each side

50 -2 = 2-2+11k

48 = 11k

Divide by 11

48/11 = 11k/11

48/11 =k

This is an improper fraction

Step-by-step explanation:

Use the slope formula:

Let (x₁, y₁) = (k + 3, 12) . and (x₂, y₂) = (8, 14 + k)   then

Since, slope (m) is 10, set the slope (above) equal to 10 and solve for k:

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

the answer is 0.000652422

but if you ment to ask what is 6131 divided by 4, it is 1532.75.

step-by-step explanation: