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3 years ago

A line passes through the point (10,9) and has a slope of 3/2. Write an equation in slope intercept form for this line

Mathematics

1 answer:

Andre45 [30]3 years ago

5 0

Answer:

The equation of line passing through (10,9) and having slope 3/2 is: $y = \frac{3}{2}x-6$

Step-by-step explanation:

The slope intercept form of a line is given by:

$y=mx+b$

We are given

Slope = m = 3/2

Point = (10,9)

Putting the value of the slope in the equation we get

$y = \frac{3}{2}x+b$

b is the y-intercept. To find the y-intercept we have to put the point through which the line passes in the equation.

Putting (10,9) in the equation

$9 = \frac{3}{2}(10) +b\\9 = 15+b\\b = 9-15\\b = -6$

Putting b=-6 in the equation

$y = \frac{3}{2}x-6$

Hence,

The equation of line passing through (10,9) and having slope 3/2 is: $y = \frac{3}{2}x-6$

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You are playing a board game with your little sister. Moves are determined by rolling 2 six-sided dice. The red die tells you th

enot [183]

Answer: The probability is 1/9.

Step-by-step explanation:

First, let's define the possible outcomes of each dice:

Red: Forward (4 times), Backward (2 times)

Green : {1, 1, 2, 2, 3, 4}

We want to find the probability of moving backward 2 spaces.

Then we need to find the probability of rolling a "backward" in the red dice, and a 2 in the green dice.

First, the probability of rolling a backward in the red dice is equal to the quotient between the number of outcomes that are "backward", and the total number of outcomes in the dice (there are 2 backwards and 6 outcomes in total), this is:

p1 = 2/6 = 1/3.

And the probability of rolling a 2 in the green dice is equal to the quotient between the number of outcomes with a 2, and the total number of outcomes. (The 2 appears two times, and there are 6 possible outcomes):

p2 = 2/6 = 1/3.

Now, the probability of both events happening at the same time is equal to the product of the individual probabilities, then the probability of moving backwards 2 spaces is:

P = p1*p2 = (1/3)*(1/3) = 1/9.

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3 years ago

Helppp meeee and answer pleaseeeeeeee

oee [108]

Answer:

13.6 and .4

Step-by-step explanation:

3.4x4=13.6

leaving .4 left

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2 years ago

Read 2 more answers

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3 years ago

Kelly needs to order lunch for orders 6 people at a business meeting. Her menu choices are chicken salad for a cost of $5 per pe

nirvana33 [79]

Ok , with that information we can write the equations
x + y = 6
5x + 4y = 28

Where x = how many people ordered chicken
and y = how many people ordered egg salad

Through elimination , we can set one of the variables in both equations equal so we can eliminate it :

(4)x + (4)y = (4)6
5x + 4y = 28

4x + 4y = 24. equation 1
5x + 4y = 28. equation 2

Now we can subtract the second equation by the first equation and isolate one variable:
equation 2 - equation 1

5x - 4x + 4y - 4y = 28 - 24

x = 4

Now that we discovered our x value ( How many people ordered chicken salad ) , we can apply it to one of the equations and discover y ( how many people ordered egg salad)

x + y = 6
x= 4
4 + y = 6

We can shift 4 to the other side of the equation by subtracting 4 from both sides of the equation:
4 - 4 + y = 6 - 4
y = 2

x=4 and y=2

So the awnser is :
4 people ordered chicken salad and 2 people ordered egg salad!

I hope you understood my brief explanation!!

p.s if you want to know how to use another method to solve these problems ( Substition) , just let me know in a comentary down here

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3 years ago

Multiply. use the gcf. 3/4 7/9

oee [108]

21/36.

All you have to do is multiply numerators by numerators and denominators by denominators. Simplify if needed

Please consider marking branliest if this helped

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3 years ago