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zmey [24]
1 year ago
5

Construct parametric equations describing the graph of the following equation.x = 3y +3If y = 4 + 1, find the parametric equatio

n for x.

Mathematics
1 answer:
masha68 [24]1 year ago
8 0

Given:

x=4y+3,y=4+t

Required: Parametric equation of y.

Explanation:

Substitute 4+t for y into the equation of x.

\begin{gathered} x=4(4+t)+3 \\ =16+4t+3 \\ =4t+19 \end{gathered}

So, the parametric equation for x is x = 4t+19.

Final Answer: The parametric equation of x is x = 4t + 19.

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Answer:

y=3x+2

Step-by-step explanation:

To find the equation, use the slope-intercept formula:

y=mx+b

m is the slope and b is the y-intercept. Now, it'll really help to draw a line through the points, connecting them. If you look at point (0,2), we can see that this is the y-intercept (where a point sits on the y-axis when x=0). You can insert this into the equation by taking the y value:

(0,2)\\y=mx+2

Now, take any two points to find the slope. To make it easier, I'll use (1,5) and (0,2). Use the slope formula for when you know two points:

\frac{y(2)-y(1)}{x(2)-(x1)} =\frac{rise}{run}

Rise over run is the change in the y-axis over the change in the x-axis. Insert values:

(1(x1),5(y1))\\(0(x2),2(y2))\\\\\frac{2-5}{0-1}

Solve:

\frac{2-5}{0-1}=\frac{-3}{-1}

Since both are negative, the result is a positive:

\frac{-3}{-1}=\frac{3}{1} =3

Insert this into the equation as m, the slope:

y=3x+2

Done.

6 0
3 years ago
PLEASE HELP!!!<br> Solve the inequality: <br> 5 (2x-3) - 6x &gt; -2 (x - 6) +3
jeyben [28]

Answer:

x>5

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

4x−15>−2x+15

Step 2: Add 2x to both sides.

4x−15+2x>−2x+15+2x

6x−15>15

Step 3: Add 15 to both sides.

6x−15+15>15+15

6x>30

Step 4: Divide both sides by 6.

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Thomas is constructing an inscribed regular hexagon for the circle shown. Point A will be one vertex of the hexagon. What step s
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SET THE WIDTH OF THE COMPASS TO EQUAL AP
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BWI Airport is building a new parking lot. The parking lot will need to fit 1350 cars. A typical row of parking spaces has 30 sp
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Answer:

45 rows will need to be built to hold 1350 cars. (for 30 spaces a row)

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Step-by-step explanation:

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