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larisa86 [58]
3 years ago
12

Write the point-slope form of the equation with the given characteristics.

Mathematics
1 answer:
Neporo4naja [7]3 years ago
3 0

Answer:

1. y = 2x+3

2. y= -2x-1

3. y=3/5 x +3

4. y = 1/2 x 23/2

Step-by-step explanation:

1. Use slope intercept, y=mx+b where m =2 and b=3. y=2x+3

2. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.  

(y-5)=-2(x--3)  

y-5=-2(x+3)

y=-2x-6+5

y=-2x-1

3. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope is 3/5 since parallel lines have the same slope.  

(y-3)=3/5(x-0)  

y-3=3/5 x

y=3/5 x +3

4. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope is 1/2 since perpendicular lines have the negative reciprocal slopes. So -2 becomes 1/2.

(y-10)=1/2(x--3)  

y-10=1/2 (x+3)

y-10 = 1/2 x + 3/2

y = 1/2 x 23/2



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I need help im so confused and its due in 20 minutes
irga5000 [103]

Answer:

C.-2(7+6g)=-14-12g

Hope that helped you:)

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6 0
3 years ago
What are the solutions to the equation <br><img src="https://tex.z-dn.net/?f=2%20%7Cx%20-%202%7C%20%20-%208%20%3D%2020" id="TexF
leva [86]

The solutions of the equation are -12 and 16

Step-by-step explanation:

Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative, if IxI = a, where a > 0, then

  • x = a
  • x = -a

∵ 2Ix - 2I - 8 = 20

- At first add 8 to both sides

∴ 2Ix - 2I = 28

- Then divide both sides by 2

∴ Ix - 2I = 14

Now By using the notes above equate x - 2 by 14 and -14

∵ x - 2 = 14

- Add 2 to both sides

∴ x = 16

∵ x - 2 = -14

- Add 2 to both sides

∴ x = -12

The solutions of the equation are -12 and 16

Learn more:

You can learn more about solving equations in brainly.com/question/2386054

#LearnwithBrainly

4 0
3 years ago
Of 580580 samples of seafood purchased from various kinds of food stores in different regions of a country and genetically compa
Lubov Fominskaja [6]

Answer:

a) The 99% confidence interval would be given (0.204;0.296).

b) We have 99% of confidence that the true population proportion of all seafood sold in the country that is mislabeled or misidentified is between (0.204;0.296).  

c) No that's not true. Because the necessary assumptions and conditions for the confidence interval for the proportion are satisifed, so then we can use inferential statistics to interpret the interval to the population of interest.

Step-by-step explanation:

Part a

Data given and notation  

n=580 represent the random sample taken    

X represent the seafood sold in the country that is mislabeled or misidentified by the people

\hat p=0.25 estimated proportion of seafood sold in the country that is mislabeled or misidentified by the people

\alpha=0.01 represent the significance level (no given, but is assumed)    

p= population proportion of seafood sold in the country that is mislabeled or misidentified by the people

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.58

And replacing into the confidence interval formula we got:

0.25 - 2.58 \sqrt{\frac{0.25(1-0.25)}{580}}=0.204

0.25 + 2.58 \sqrt{\frac{0.25(1-0.25)}{580}}=0.296

And the 99% confidence interval would be given (0.204;0.296).

Part b

We have 99% of confidence that the true population proportion of all seafood sold in the country that is mislabeled or misidentified is between (0.204;0.296).  

Part c

A government spokesperson claimed that the sample size was too​ small, relative to the billions of pieces of seafood sold each​ year, to generalize. Is this criticism​ valid?

No that's not true. Because the necessary assumptions and conditions for the confidence interval for the proportion are satisifed, so then we can use inferential statistics to interpret the interval to the population of interest.

4 0
3 years ago
M∠IJK=155° and m∠ZJK=35°. Find m/∠IJZ
PtichkaEL [24]
120° because 155-35=120 since IJZ is inside the IJK so you would have to subtract the ZJK from the IJZ.
8 0
2 years ago
MAY I GET HELP PLEASE?
Mrac [35]

Answer:

For Part A equation: 32 + 4x = 240

8 0
3 years ago
Read 2 more answers
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