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Vinvika [58]
3 years ago
11

Which equation represents the line that passes through the points (4, 6) and (-2, -1)?

Mathematics
1 answer:
marissa [1.9K]3 years ago
3 0

Answer:

y = 7/6x + 4/3

Step-by-step explanation:

find slope first

change in y over the change in x

-1-6/-2-4 = -7/-6 = 7/6

to be extra sure use this formula to find the y-intercept or b

y - 6 = 7/6 (x -4)

you can plug in either point

solve for y and you have the equation in slope intercept form or y=mx+b

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What is equivalent to 5 times 5/12
Lilit [14]

Answer:2.08333333333

Step-by-step explanation:

5 0
3 years ago
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A large party balloon is being filled with helium at a constant rate. After 8 seconds, there is 2.5L of helium in the balloon.
raketka [301]

Answer:

32 seconds

Step-by-step explanation:

first 8 secknds gives us the value of set 2.5l

2.5L to make 10 =

10÷2.5=4

That said 2.5L fills 1pL by 4 giving us;

4×2.5= 10L

7 0
1 year ago
Misha used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the t
kotykmax [81]

To solve this problem, let us first remember that probability is:

Probability = number of successful events / number of total events

 

Now, let us first calculate the probability of getting a blue marble. There are 20 blue marbles out of 50 total marbles, therefore the probability is:

P (blue marble) = 20 / 50 = 0.4

 

Next, let us calculate for the probability of landing tails up. There are 22 tails success out of 50 times the coin was tossed, therefore the probability is:

P (tails) = 22 / 50 = 0.44

 

Finally, since we want to find the Probability of getting blue and Probability of landing tails, we multiply the two:

P (blue and tails) = 0.4 * 0.44

P (blue and tails) = 0.176               (ANSWER)

 

Now if the choices are in fraction:

P (blue and tails) = (20 / 50) (22 / 50) = 440 / 2500

8 0
3 years ago
Read 2 more answers
What are the roots of the equation 9x^2 + 54x +82 = 0 in simplest a + bi form?​
s344n2d4d5 [400]

Answer:

The roots are

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Step-by-step explanation:

9x² + 54x + 82 = 0

Using the quadratic formula

That's

<h3>x =  \frac{ - b\pm \sqrt{ {b}^{2}  - 4ac} }{2a}</h3>

From the question

a = 9 , b = 54 , c = 82

Substitute the values into the above formula and solve

That's

<h3>x =  \frac{ - 54\pm \sqrt{ {54}^{2}  - 4(9)(82)} }{2(9)}  \\ x =  \frac{ - 54\pm \sqrt{2916 - 2952} }{18}  \\ x =  \frac{ - 54\pm \sqrt{ - 36} }{18}  \\ x =  \frac{ - 54\pm 6i}{18}</h3>

Separate the real and imaginary parts

That's

<h3>x =  -  \frac{54}{18} \pm \frac{6}{18}  \: i \\ x =  - 3\pm \frac{1}{3} i</h3>

We have the final answer as

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Hope this helps you

5 0
3 years ago
Can someone please help me solve this question. What is 8^6×8^9
Mademuasel [1]

Answer:

(8^6) × (8^9)=

3.51843721 ×10¹³

5 0
3 years ago
Read 2 more answers
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