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aliina [53]
3 years ago
6

6. Combine like terms. What is the simplified form of the expression? 6a + 8 + 2a – 6 =

Mathematics
2 answers:
mr Goodwill [35]3 years ago
6 0

Answer:

8a+2

Step-by-step explanation:

6a + 8 + 2a – 6\\\\\mathrm{Group\:like\:terms}\\=6a+2a+8-6\\\\\mathrm{Add\:similar\:elements:}\:6a+2a=8a\\=8a+8-6\\\\\mathrm{Add/Subtract\:the\:numbers:}\:8-6=2\\=8a+2

Harrizon [31]3 years ago
4 0

Answer:

6a + 8 + 2a – 6

we calculate the unknowns of the same type alone (x with x, a with a, y with y ...) and the digits / numbers alone .

6a+2a=8a

8-6=+2

So 8a+2

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If a ship's path is mapped on a coordinate grid, it follows a straight-line path of slope 3 and passes through point (2, 5).
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Part A: The equation of the ship's path is y=3x-1

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Explanation:

Part A: It is given that m=3 and point (2, 5)

Substituting these in the slope intercept form, we have,

y-y_{1}=m\left(x-x_{1}\right)

\begin{aligned}y-5 &=3(x-2) \\y-5 &=3 x-6 \\y &=3 x-1\end{aligned}

Thus, the equation of the ship's path in slope intercept form is y=3x-1

Part B: The equation of the second ship is x+3 y-6=0

Let us bring the equation in the form of slope intercept form.

\begin{aligned}3 y &=-x+6 \\y &=-\frac{1}{3} x+2\end{aligned}

Thus, from the above equation the slope is m=-\frac{1}{3}

To determine the two ships sailing perpendicular to each other, we have

m_{1} \times m_{2}=-1

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Since, both sides of the equation are equal, these two ships sails perpendicular to each other.

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