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2 years ago

A curve is describe by the following parametric equations:

Mathematics

1 answer:

soldi70 [24.7K]2 years ago

7 0

Answer:

A. The curve is a parabola with a vertex at (3,-4) and is traced from left to right for increasing values of t.

Step-by-step explanation:

x = 3 + t

y = t² − 4

Eliminating the parameter:

t = x − 3

y = (x − 3)² − 4

This is an upwards parabola with a vertex at (3, -4).

x = 3 + t, so as t increases, x increases.

So the curve is traced from left to right.

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What is 10/13 + 8/13 ?

ludmilkaskok [199]

18/13 or in simplified form, 1 and 5/13.

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3 years ago

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What is the slope of a line parallel to the line whose equation is

Lyrx [107]

Answer:

slope = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

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y = 3x + 18 ← in slope- intercept form

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2 years ago

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Answer:

1. 74 because 8(10) - 6

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Step-by-step explanation:

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2 years ago

Which of the following parallelograms is NOT similar to the others? A B C D

labwork [276]

the answer is D

Step-by-step explanation:

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2 years ago

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Given the set of vertices, determine whether parallelogram ABCD is a rhombus, rectangle or square. List all that apply. A(7,-4),

Sloan [31]

Given:

Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).

To find:

Whether the parallelogram ABCD is a rhombus, rectangle or square.

Solution:

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, we get

$AB=\sqrt{(-4-(-4))^2+(-1-7)^2}$

$AB=\sqrt{(-4+4)^2+(-8)^2}$

$AB=\sqrt{0+64}$

$AB=8$

Similarly,

$BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8$

$CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8$

$AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8$

All sides of parallelogram are equal.

$AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}$

$BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}$

Both diagonals are equal.

Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

We know that, a square is special case of rectangles and rhombus.

So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.

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2 years ago