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Viefleur [7K]
2 years ago
6

Which equation represents a line that passed through (2,-1:2) and has a sloe of 3

Mathematics
1 answer:
ella [17]2 years ago
7 0

The equation that represents a line that passed through (2,-1:2) and has a slope of 3 is y = 3x - 18

<h3>How to determine the equation of the line?</h3>

The points are given as:

(x1, y1) = (2, -12)

The slope is given as:

m = 3

The equation of the line is calculated using:

y = m(x - x1) + y1

So, we have:

y = 3(x - 2) - 12

Open the bracket

y = 3x - 6 - 12

Evaluate

y = 3x - 18

Hence, the equation of the line is y = 3x - 18

Read more about linear equations at:

brainly.com/question/1884491

#SPJ1

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RoseWind [281]

Answer:

=7.071068

Step-by-step explanation

subtract the x values and y values and square them then add them together and find it's square root

4 0
3 years ago
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Assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are n= 8 trials, each with
alina1380 [7]

Answer:

0.80589

Step-by-step explanation:

So all of the numbers of correct answers less than 4 are 0,1,2,3

We need to calculate the probability for each separately and then add them together.

To find the probability we have to first find the combination. We know that there’s n=8 trials and that p=0.3. So 1-0.3 gives us 0.7.

The combination formula is: ! / (!(−)!)

So the n would always =8, and the r would be 0,1,2,3. So you would have to calculate it for 0,1,2,3 Separately. This can be done by hand or you can use a simple combinations calculator online.

For 0;

The combination is 1,

1 x 0.3^0 x 0.7^8-0 =

0.057648

For 1;

The combination is 8,

8 x 0.3^1 x 0.7^8-1 =

0.19765

For 2;

The combination is 28

28 x 0.3^2 x 0.7^8-2 =

0.296475

For 3;

The combination is 56

56 x 0.3^3 x 0.7^8-3 =

0.254122

All that’s left is to add these four numbers;

0.057647 + 0.19765 + 0.296475 + 0.254122 = 0.80589

4 0
3 years ago
Find the equation of the line that contains the given point and the given slope. Write the equation in slope-intercept form.
stealth61 [152]

The slope-point form of a line:

y-y_0=m(x-x_0)

The slope-intercept form of a line:

y=mx+b

1.

m=6,\ (4,\ 1)\to x_0=4,\ y_0=1

Substitute

y-1=6(x-4)\qquad|\text{use distributive property}\\\\y-1=6x-24\qquad|\text{add 1 to both sides}\\\\\boxed{y=6x-23}

2.

m=-5,\ (6,\ -3)

Substitute

y-(-3)=-5(x-6)\qquad|\text{use distributive property}\\\\y+3=-5x+30\qquad|\text{subtract 5 from both sides}\\\\\boxed{y=-5x+24}

3.

m=-\dfrac{1}{2},\ (-8,\ 2)\\\\y-2=-\dfrac{1}{2}(x-(-8))\\\\y-2=-\dfrac{1}{2}(x+8)\\\\y-2=-\dfrac{1}{2}x-4\qquad|\text{add 2 to both sides}\\\\\boxed{y=-\dfrac{1}{2}x-2}

4.

m=0,\ (-7,\ -1)\\\\y-(-1)=0(x-(-7))\\\\y+1=0\qquad|\text{subtract 1 from both sides}\\\\\boxed{y=-1}

3 0
3 years ago
HELP QUICK PLS WILL GIVE BRAINLIEST
alexandr1967 [171]

Answer:

0.08(50h)

Step-by-step explanation:

0.08(50h)+50h=

8/100(50h)+50h=

0.08(50h)+50h

It's 0.08 of 50h, so

0.08(50h)

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3 years ago
Please help ! I’m taking this test right now
Setler [38]

Answer:

-2\frac{1}{3} -(-10\frac{1}{6}) =-\frac{7}{3}+\frac{61}{6} =-\frac{14}{6} +\frac{61}{6} =\frac{47}{6} =7\frac{5}{6}

Step-by-step explanation:

7 0
3 years ago
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