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DerKrebs [107]
3 years ago
13

Line m passes through point (5,- 8) and has a slope - 3. What is the equation for the line point slope form

Mathematics
1 answer:
skad [1K]3 years ago
7 0

Answer:

y + 8 = -3(x-5)

Step-by-step explanation:

Point Slope form is:

y - y_1 = m(x-x_1)\\\rule{150}{0.5}\\\text{ m - slope}\\(x_1,y_1) \text{  - point}\\\rule{150}{0.5}

We are given the point (5, -8) and the slope of -3.

y-y_1=m(x-x_1)\rightarrow y - (-8) - -3(x-5)\rightarrow \boxed{y+8=-3(x-5)}

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Find the probability that in a pig family of 4 offspring there will be at least 1 male and 1 female. Assume that the probability
Naya [18.7K]
The probability of there being zero males is given by:
P(zero\ males)=4C0\times0.5^{0}\times0.5^{4}=\frac{1}{16}
Similarly the probability of there being zero females is also 1/16.
The probability there will be at least 1 male and 1 female is therefore:
1-(\frac{1}{16}+\frac{1}{16})=\frac{7}{8}
The answer is: 7/8. 

5 0
3 years ago
Solve sec2theta + tantheta - 3 =0 for 0
Serhud [2]

Answer:

Ф = \frac{\pi }{4} ,\frac{5\pi}{4}

Step-by-step explanation:

It is a bit difficult to input the work here, so I uploaded an image

  • First we can use the trig identities to change sec²(Ф) to tan²(Ф) + 1
  • Then we can combine like terms
  • Then we can factor this as a polynomial function
  • Then we can set each term equal to zero and solve for Ф
  • The first term tan(Ф) - 2 = 0 has no solution because tan(Ф) ≠ -2 anywhere
  • The second term tan(Ф) - 1 = 0 has two solutions of \frac{\pi}{4} and \frac{5\pi}{4} so these are the solutions to the problem

7 0
3 years ago
What is the domain of (1,2),(2,6),(3,10),(2,14),(1,0)
Bas_tet [7]
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5 0
3 years ago
What is 2.99 as a fraction
Serga [27]
2.99

2 is a whole number

0.99 = 99/100

your fraction is:

mixed number = 2   99/100
improper fraction =  299/100 (multiply whole number to denominator & then add numerator)

hope this helps
8 0
3 years ago
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3 years ago
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