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2 years ago

5.4 = a - (-1.8) solve for a.

2 answers:

4 0

Let's solve your equation step-by-step.5.4=a−(−1.8)Step 1: Simplify both sides of the equation.5.4=a+1.8Step 2: Flip the equation.a+1.8=5.4Step 3: Subtract 1.8 from both sides.a+1.8−1.8=5.4−1.8a=3.6

WINSTONCH [101]2 years ago

4 0

Subtracting a negative cancels them to become positve so now we have a + 1.8 = 5.4.

subtract 1.8 from both sides of a + 1.8 = 5.4 to isolate the variable and we have:
a = 3.6 because 5.4 - 1.8 is 3.6.

therefore a = 3.6. hope this helped! plug it into the original equation and you see that you get 5.4 = 5.4

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2 years ago

Make a table of values and create a line of best fit

Anni [7]

<h2>Explanation:</h2><h2></h2>

Hello! remember you have to write complete questions in order to get good and exact answers. Here I'll explain this in a general way assuming the following table:

$\begin{array}{cc}x & y\\0 & 0\\1 & 2\\2 & 4\\3 & 6\\4 & 8\\5 & 10\end{array}$

As you can see, x increases in steps of 1 units. So let's check the difference in y:

$\bullet \ \text{From x=0 to x=1} \\ \\ \Delta y=2-0=2 \\ \\ \\ \bullet \ \text{From x=1 to x=2} \\ \\ \Delta y=4-2=2 \\ \\ \\ \bullet \ \text{From x=2 to x=3} \\ \\ \Delta y=6-4=2 \\ \\ \\ \bullet \ \text{From x=3 to x=4} \\ \\ \Delta y=8-6=2 \\ \\ \\ \bullet \ \text{From x=4 to x=5} \\ \\ \Delta y=10-8=2$

So we have a constant difference and we can conclude the table represents a line. Since the line passes through then y is directly proportional to x, so we can write:

$y=kx \\ \\ Where: \\ \\ k \ is \ constant \ of \ proportionality \ or \ the \ slope$

Then:

$k=\frac{2-0}{1-0}=2$

Finally, the equation of the line is:

$\boxed{y=2x}$

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2 years ago