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Rus_ich [418]
3 years ago
8

Which equation represents a line that passes through (5, 1) and has a slope of 1/2?

Mathematics
1 answer:
lesya692 [45]3 years ago
8 0

Answer:

C

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = \frac{1}{2} and (a, b) = (5, 1), so

y - 1 = \frac{1}{2}(x - 5)

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Find the volume of a rectangular prism with a height of 18 if the base has a length of 9 and a width of 17.
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3 years ago
13+x+195=13(x+15)...
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2 years ago
The quadratic function g(x) = ax^2 + bx + c has the complex roots (-5+9i) and (-5-9i). (you may assume that a = -1) what is the
gavmur [86]

Answer:

  • b = -10, c = -106

Step-by-step explanation:

<h3>Given</h3>

<u>Quadratic function </u>

  • g(x) = ax^2 + bx + c

with the roots:

  • (-5+9i) and (-5-9i)
<h3>To find </h3>
  • b and c if a = -1
<h3>Solution</h3>

<u>As we know the sum of the roots is -b/a and the product of the roots is c/a. Substituting values and solving for b and c:</u>

  • (-5 + 9i) + (-5 - 9i) = -b/-1
  • -10 = b
  • b = -10

And

  • (-5 + 9i)(-5 - 9i) = c/-1
  • (-5)² - (9i)² = -c
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  • - c = 25 + 81
  • - c = 106
  • c = -106

g(x) = -x² -10x - 106

4 0
2 years ago
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