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Alika [10]
3 years ago
14

What is the y-intercept when a line has a slope of 3 and passes through the point (2, 7)?

Mathematics
1 answer:
dybincka [34]3 years ago
4 0

Answer:

The y-intercept is (0,1)

Step-by-step explanation:

So, first you need to find the equation! Point slope form is (y-y1)=m(x-x1).

Plug the numbers in and you get (y-7)=3(x-2). Now, the y intercept is where x=0, so plug in zero for x.

y-7=3(0-2)

y-7=3(-2)

y-7= -6.

-6+7= 1, so y=1

The ordered pair is then (0,1). Hope this was useful :)

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5 0
2 years ago
For a certain​ candy, 20​% of the pieces are​ yellow, 15​% are​ red, 20​% are​ blue, 20​% are​ green, and the rest are brown. ​a
OLEGan [10]

Answer:

Step-by-step explanation:

Based on the question we are given the percentages of each of the types of candies in the bag except for brown. Since the sum of all the percentages equals 75% and brown is the remaining percent then we can calculate that brown is (100-75 = 25%) 25% of the bag. Now we can show the probabilities of getting a certain type of candy by placing the percentages over the total percentage (100%).

  • Brown: \frac{25}{100}
  • Yellow or Blue: \frac{20}{100} +\frac{20}{100} = \frac{40}{100}  ....add the numerators
  • Not Green:  \frac{80}{100}.... since the sum of all the rest is 80%
  • Stiped:  \frac{25}{100} .... there are 0 striped candies.

Assuming the <u><em>ratios/percentages</em></u> of the candies stay the same having an infinite amount of candy will not affect the probabilities. That being said in order to calculate consecutive probability of getting 3 of a certain type in a row we have to multiply the probabilities together. This is calculated by multiplying the numerators with numerators and denominators with denominators.

  • 3 Browns: \frac{25*25*25}{100*100*100} = \frac{15,625}{1,000,000} = \frac{1.5625}{100}

  • the 1st and 3rd are red while the middle is any. We multiply 15% * (total of all minus red which is 85%) * 15% like so.

\frac{15*85*15}{100*100*100} = \frac{19,125}{1,000,000} = \frac{1.9125}{100}

  • None are Yellow: multiply the percent of all minus yellow three times.

\frac{80*80*80}{100*100*100} = \frac{512,000}{1,000,000} = \frac{51.2}{100}

  • At least 1 green: multiply the percent of green by 100% twice, since the other two can by any

\frac{20*100*100}{100*100*100} = \frac{200,000}{1,000,000} = \frac{20}{100}

4 0
3 years ago
Based only on the given information, it is guaranteed that AB L CDGiven AABCAD BDBCCDs CDA. True
serious [3.7K]
Hello,

any point equidistant from the ends of a segment belongs to the perpendicular bisector of the segment.
|AD|=|BD| and |AC|=|BC|


7 0
3 years ago
Read 2 more answers
Which property is used to write a(x + y) = ax + ay
stealth61 [152]
The Distributive Property. You are distributing a to x + y.

Hope this helps!
3 0
3 years ago
Read 2 more answers
Line<br> Passing through (4,5) and perpendicular to <br> Equation y= -2x+3
DENIUS [597]

Answer:

1/2x+3

Step-by-step explanation:

I graphed it

3 0
3 years ago
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