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Anastaziya [24]
2 years ago
8

Please help me with my math please?

Mathematics
2 answers:
Snowcat [4.5K]2 years ago
7 0

Line passes through (2, -1) and slope of 1/3

<h3><u>Step 1</u></h3>

y = mx + b,  Identify:  x = 2, y = -1, slope: \sf \frac{1}{3}

<u>insert following values</u>

\rightarrow \sf -1 = \dfrac{1}{3} (2) + b

<u>multiply</u>

\rightarrow \sf -1 = \dfrac{2}{3}  + b

<u>switch sides</u>

\rightarrow \sf b = -1 - \dfrac{2}{3}

<u>subtract</u>

\sf \rightarrow b = -\dfrac{5}{3}

<u>convert to mixed fraction</u>

\sf \rightarrow b = -1\dfrac{2}{3}

<h3><u>Step 2</u></h3>

y = mx + b,  m = \sf \frac{1}{3}, b = -1\frac{2}{3}

<u>insert following values</u>

\rightarrow \sf y =  \dfrac{1}{3} x -1\dfrac{2}{3}

AleksandrR [38]2 years ago
4 0

Answer:

y = y coordinate

m = slope

x = x coordinate

b = y intercept

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There are 3 red and 8 green balls in a bag. If you randomly choose balls one at a time, with replacement, what is the probabilit
Kaylis [27]

So, the total number of balls is 11. We want to pick 2 red balls and 1 green ball. WLOG (since order doesnt matter here), we can say he picks red, green, red. That means on his first pick, he has a \frac{3}{11} chance of picking the red ball, and he places it back in the bag. The probability of picking a green ball is \frac{8}{11}, and then he places the ball back in the bag. The probability of picking the last red ball is the same as the last red ball example, and we simply multiply the probabilities together as per the multiplication rule to get:

\frac{3}{11}\frac{3}{11}\frac{8}{11}=\frac{3*3*8}{11^3}=\frac{72}{1331}

Now, without replacement the order does matter. He picks a red ball, a red ball then a green ball. The probability of picking the first red ball is\frac{2}{11}, and the probability of picking the second red ball is \frac{1}{10} and the probability of picking the green ball is\frac{1}{9}. We want to multiply thm again, as per the multiplication rule like the last problem.

\frac{2}{11}*\frac{1}{10}*\frac{1}{9}=\frac{1}{11*5*9}=\frac{1}{495}

5 0
3 years ago
Factor the expression by finding the GCF. 16m2 − 12m
ziro4ka [17]

Answer:

4m(4m-3)

Step-by-step explanation:

16m^2 − 12m

16 m^2 = 2*2*2*2*m*m

12m = 2*2*3*m

The greatest factor for 16m^2 and 12m is 2*2*m  or 4m

Factor out 4m

16 m^2 = 2*2*2*2*m*m = 4m(2*2m)=4m(4m)

12m = 2*2*3*m = 4m(3)

Factoring out 4m

16m^2 − 12m

4m(4m-3)

3 0
3 years ago
Read 2 more answers
Find the set below using A=(5,6,9), and so on (Explanation is in picture)
anzhelika [568]

The result is: {5,6,9}

Step-by-step explanation:

Given

U = {0,1,2,......,10}

A = {5,6,9}

B = {0, 6, 7, 10}

We have to find

(A∩B)U(A∩B')

First of all,

<u>B':</u>

B' = U -B = {0,1,2,......,10} -  {0, 6, 7, 10}

= {1,2,3,4,5,8,9}

<u>A∩B':</u>

A∩B' = {5,6,9} ∩ {1,2,3,4,5,8,9}

= {5,9}

<u>A∩B:</u>

A∩B = {5,6,9} ∩ {0, 6, 7, 10}

={6}

At the end we have to find union

(A∩B)U(A∩B') = {6} U {5,9}

(A∩B)U(A∩B') = {5,6,9}

Hence,

The result is: {5,6,9}

Keywords: Sets , Union

Learn more about sets at:

  • brainly.com/question/3126500
  • brainly.com/question/3306327

#LearnwithBrainly

8 0
3 years ago
The number of girls in cobbs class is 2 less than 3 times the number of boys. She has 26 students in her class how many are boys
Natalka [10]

Answer:

7 are boys

Step-by-step explanation:

Make a system of equations where g is for girls and b is for boys.

b+g=26

g=3b-2

Substitute "3b-2" in for "g" in the first equation.

b+(3b-2)=26

Rewrite without the parentheses because it's addition and not multiplication.

b+3b-2=26

Combine like terms.

4b-2=26

Add 2 to both sides.

4b=28

Divide by the coefficient of the variable to get it alone.

b=7

3 0
3 years ago
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faltersainse [42]
The gradient of the perpendicular line would be the negative reciprocal of the original line. Therefore the gradient of the perpendicular line would be -2/5x.
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The perpendicular equation would be y=-2/5x+26/5.
I hope I got this right.
7 0
3 years ago
Read 2 more answers
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