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storchak [24]
3 years ago
5

Find the length of the missing side

Mathematics
1 answer:
Sindrei [870]3 years ago
8 0

Answer:

x = 9.2

Step-by-step explanation:

Use Pythagorean Theroem to find the lenght of x

a^2 + b^2 = c^2

6^2 + 7^2 = x^2

36 + 49 = x^2

85 = x^2

then find the square root of 85 which is 9.2

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the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9. write down the co
vodomira [7]

Answer:

k = 3

Step-by-step explanation:

If the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9, then their slopes are equal

For coordinate AB;

slope m1 = 3 - 3k/k-(-1)

m1 = 3-3k/k+1

For the line 2y+3x = 9

2y = -3x + 9

y = -3/2 x + 9/2

Slope m2 = -3/2

Since m1 = m2

3-3k/k+1 = -3/2

Cross multiply

2(3-3k) = -3(k+1)

Expand

6 - 6k = -3k - 3

-6k+3k = -3 - 6

-3k = -9

k = -9/-3

k = 3

Hence the value of k is 3

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