What is the difference between multiplying monomials and adding/subtracting monomials?

1 answer:

5 0

EX. 3x+3x. You will leave the variable alone. You add the constants (3 and 3). The answer is 6. Because of that x, the answer is 6x.

EX. 3x times 3x. Again you will leave the x alone. You multiply the constants (3 and 3). The answer is 9. Because of the x, the answer is 9x.

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The diagram shows the graph of y = 2x + c, where c is a constant find the value of K.

mote1985 [20]

Answer:

$k=\frac{13}{2}$

Step-by-step explanation:

The equation $y=2x+c$ is a linear equation. By definition, the independent term on this equation (that is, the number that is not being multiplied by $x$ ) is the y-intercept, which is a fancy way of saying "the point where the line crosses the y-axis".

By looking at the equation, we know that our y-intercept is c. By looking at the graph, we can see that the y-intercept is -3. Therefore, $c=-3$ and we get the complete version of our linear equation:

$y=2x-3$

Now, looking at the graph we can see that the point $(k,10)$ lies on the line of the equation, which means that the point is a solution to our equation. All we have to do is replace $x$ and $y$ by the values of the given point (which are $k$ and $10$ , respectively), and then solve for $k$ :