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bearhunter [10]
2 years ago
5

Choose the graph below that correctly represents the equation 3x + 9y = −18. (5 points)

Mathematics
1 answer:
Tju [1.3M]2 years ago
5 0

Answer:

the line through the points negative 6 comma 0 and 0 comma negative 2

Step-by-step explanation:

Rewrite the equation to something you are familiar with such as the slope intercept form; y = mx + b. This means you need to solve for y.

3x + 9y = -18 --- divide everything by 3.

x + 3y = -6

3y = -6 - x

y = -2 - 1/3x

your slope is -1/3 and your y intercept is - 2.

remember, y-intercept is when x = 0. therefore, when x = 0, y = -2.

write as an ordered pair (0, -2). the only option that has (0, -2) is the second one.

Therefore, the line through the points negative 6 comma 0 and 0 comma negative 2.

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What is the value of **y** where the two lines are equal?
Novosadov [1.4K]

Answer:

y = - 1

Step-by-step explanation:

The 2 lines are equal at the point of intersection

The point of intersection is (2, - 1 ) with y = - 1

6 0
3 years ago
Read 2 more answers
6 times the sum of 3 consecutive odd intergers is -18
Lyrx [107]
The answer: The 3 (three) consecutive odd integers are: -3, -1, 1.
_____________________________________________
Explanation:
_______________
To represent 3 (three consecutive odd integers):
____________________________________
Let "x" be the first odd integer.
____________________________________
Let "(x+2)" be next consecutive odd integer.
____________________________________
Let "(x+4") be the third odd integer.
____________________________________
The sum of these three consecutive odd integers:
__________________________________________
x + (x + 2) + (x + 4) = x + x + 2 + x + 4 = 3x + 6 ;
_________________________________________
Six ("6") times the sum of these 3 (three) consecutive odd integers =
_________________
6*(3x+6) = 6(3x + 6) = -18 (as given in the problem).
_____________________________________________
Given: 6(3x + 6) = -18 ; We can divide EACH SIDE of the equation by "6", to cancel the "6" on the left-hand side into a "1"; 
__________________________________________
{6(3x + 6) } / 6 = -18 / 6 ;  to get:
________________________________________
3x + 6 = -3 ; Now, we can subtract "6" from EACH SIDE of the equation:
__________________________________
3x + 6 - 6 = -3 - 6 ; to get:
__________________________________
3x = -9 ; Now, we can divide EACH SIDE of the equation by "3"; to isolate "x" on one side of the question; and solve for "x" ;
___________________________________
3x / 3 = -9 / 3 ;  x = - 3 ;
_____________________
Remember, from above:
__________________________
Let "x" be the first odd integer.  We know that "x = -3".
         Is this an odd integer? Yes!
____________________________________
Let "(x+2)" be next consecutive odd integer.  So (x+2) = (-3+2) = -1.
        Is this an odd integer? Yes!  Is this "{-1}" the next consecutive odd integer with respect to "{-3}"? Yes!
____________________________________
Let "(x+4") be the third odd integer. So (x+4) = (-3+4) = 1.
       Is this an odd integer? Yes!  Is this "{1"} the next consecutive odd integer with respect to "{-1}"? Yes!
___________________________
So, our 3 (three) consecutive odd integers are: -3, -1, 1.
___________________________
To check our work: Is 6 times the sum of our 3 consecutive odd integers, equal to "(-18)" ?

The sum of our 3 consecutive odd integers = -3 + (-1) + 1 = -3 - 1 + 1 = -3.

6 * -3 = ? -18? Yes!
___________________________





3 0
3 years ago
Which set of values could be the side lengths of a 30-60-90 triangle?
Tju [1.3M]

Answer:

A

Step-by-step explanation:

I think you are in geometry I learned this a little back...

It's hard to explain but basically one side is just (n) another is (n(square root sign))and another is (2n.)    

So the answer Is a because in this case (n) is 4  

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She read 11 books because 44 divided by 4 its 11$
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Answer: Sammy


Step-by-step explanation: If Tom finished the 100 meter race in 12.54 seconds that means he would have been going at an average of 7.97 seconds and if Sammy is finishing a 100 meter race in 25.98 seconds he would have been going at an average of 3.84. Therefore Sammy is going at a faster average.


Hope this helps!


5 0
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