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sleet_krkn [62]
2 years ago
11

Determine the most convenient method to graph the following line.

Mathematics
1 answer:
Likurg_2 [28]2 years ago
3 0

Step-by-step explanation:

3x + 2y = 12

2y = 12 - 3x

y = 6 - 3/2 x

so, it is a regular line, not horizontal, not vertical.

the easiest way to graph it is to find the 2 intercepts at the x- and at the y-axis (setting x = 0 gives us the y value for the y-axis intercept, setting y = 0 gives us the x value for the x-axis intercept).

then use a ruler and draw a line through both points and well beyond these 2 points.

x = 0

3×0 + 2y = 12

2y = 12

y = 6

point (0, 6)

y = 0

3x + 2×0 = 12

3x = 12

x = 4

point (4, 0)

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Step-by-step explanation:

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What are the vertex and axis of symmetry of the parabola y = x2 – 16x + 63?
jonny [76]

Answer:

A

Step-by-step explanation:

Remember that the x-value of the vertex when an equation is given in standard form can be found with the equation \frac{-b}{2a}. So, we can take the coefficients from the equation and plug them in.

\frac{-b}{2a} \\\frac{-(-16)}{2(1)}\\\\\frac{16}{2}\\\\8

Now we know that the x-value of the vertex is 8. Next, the equation for the y-value is c-ah^2, where h is the x-value of the vertex (8).

(63)-(1)(8)^2\\63-64\\-1

So the vertex is (8,-1).

Finally, the axis of symmetry is the x-value of the vertex, also called h.

Final answer, vertex: (8,-1) and axis of symmetry: x=8

Hope this helps!

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Read 2 more answers
A line passes through the point (2 comma negative 2 comma 10 )​, and is parallel to the vector 9 Bold i plus 7 Bold j plus 10 Bo
lyudmila [28]

Title:

<h2>The standard parametric equation for the line is \frac{x - 2}{9} = \frac{y + 2}{7} = \frac{z - 10}{10}.</h2>

Step-by-step explanation:

The standard parametric equation for a line generally represented as \frac{x - a}{l} = \frac{y - b}{m} = \frac{z - c}{n}; where (a, b, c) is the point that the line passes through and (l, m, n) is the direction vector of the line.

It is given that the line passes through the point (2, -2, 10).

Hence, here (a, b, c) ≡ (2, -2, 10).

Similarly, the direction vector of the line is given by (l, m, n) ≡ (9, 7, 10).

Putting all the values in the equation of the line, the equation becomes

\frac{x - 2}{9} = \frac{y + 2}{7} = \frac{z - 10}{10}.

3 0
3 years ago
Tell whether the situation should be represented by a continuous graph or a discrete graph.
andre [41]
1) Discrete graph

2) Continuous graph

I hope this helps! I would check with someone else first though.
6 0
3 years ago
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