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Romashka-Z-Leto [24]
3 years ago
11

Find the equation of the straight line passing through the point (3,3) which Is perpendicular to the line y=-1/2 x+4

Mathematics
1 answer:
Nataly [62]3 years ago
3 0

Answer:

y = 2x - 3.

Step-by-step explanation:

The perpendicular line will have slope - 1 / -1/2 = 2.

Using the point-slope form of the straight line:

y - y1 = m(x - x1)

Here m = 2 and (x1, y1) = (3, 3) so we have:

y -3 = 2(x - 3)

y = 2x - 6 + 3

y = 2x - 3.

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Factor 9x^2+66xy+121y^2
Korvikt [17]
Answer: (3x + 11y)^2

Demonstration:

The polynomial is a perfect square trinomial, because:

1) √ [9x^2] = 3x

2) √121y^2] = 11y

3) 66xy = 2 *(3x)(11y)

Then it is factored as a square binomial, being the factored expression:

 [ 3x + 11y]^2

Now you can verify working backwar, i.e expanding the parenthesis.

Remember that the expansion of a square binomial is:

- square of the first term => (3x)^2 = 9x^2
- double product of first term times second term =>2 (3x)(11y) = 66xy
- square of the second term => (11y)^2 = 121y^2

=> [3x + 11y]^2 = 9x^2 + 66xy + 121y^2, which is the original polynomial.

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3 years ago
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I am Lyosha [343]

Answer:

m= 9-2

m= 7

Step-by-step explanation:

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2 years ago
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3 years ago
In a different plan for area​ codes, the first digit could be any number from 2 through 5​, the second digit was either 2, 3, 4,
GrogVix [38]

Answer:

Step-by-step explanation:

First digit 2,3,4,5 = 4 different digits.

Second digit 2,3,4,5 = 4 different digits.

Third digit = 1,2,3,6,7,9 = 6 different digits.

Total number of possibilities = 4*4*6 = 96

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3 years ago
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Answer:

A

Step-by-step explanation:

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