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Keith_Richards [23]
2 years ago
14

On the plane curve defined by the parametric equations below, what point corresponds to t= -1

Mathematics
2 answers:
Anton [14]2 years ago
6 0
The equation x=2t-1 represent the x-coordinate. To get the value of x, substitute t with -1.

That is:  x = 2(-1) - 1
                 = -2-1 
                = -3
Likewise, the equation y=t∧-3 represent the y-coordinate. Substituting t with -1,
 
  y = (-1)∧-3
    = -1

The point that correspond to t=-1 is (-3,-1).
AlladinOne [14]2 years ago
6 0

Answer: I just took the test and got 100%

1. C, the parameter is t and the curve contains the set of points (2cos(t), sin(t)

2. B, up to the left and then up to the right

3. D, (-3,-1)

Feel free to mark as brainliest (:

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we need to find the least common factor or 9, 10 and 12:

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4 0
3 years ago
A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of te triangle is 16m to the power of 2, what are the base
Olenka [21]

Answer:

The base of triangle is  \frac{8}{\sqrt{3}} \ m and the height of triangle is  \frac{12}{\sqrt{3}} \ m.

Step-by-step explanation:

Given:

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of the triangle is 16m to the power of 2.

Now, to find the base and height of the triangle.

The base of triangle = x\times\frac{1}{2} =\frac{x}{2} \ m.

The height of triangle = x\times \frac{3}{4} =\frac{3x}{4}\ m.

The area of triangle = 16\ m^2.

Now, we put the formula of area to solve:

Area=\frac{1}{2} \times base\times height

16=\frac{1}{2} \times \frac{x}{2} \times \frac{3x}{4}

16=\frac{3x^2}{16}

<em>Multiplying both sides by 16 we get:</em>

<em />256=3x^2<em />

<em>Dividing both sides by 3 we get:</em>

<em />\frac{256}{3} =x^2<em />

<em>Using square root on both sides we get:</em>

\frac{16}{\sqrt{3}}=x

x=\frac{16}{\sqrt{3}}

Now, by substituting the value of x to get the base and height:

Base=\frac{x}{2}\\\\Base=\frac{\frac{16}{\sqrt{3}}}{2} \\\\Base=\frac{8}{\sqrt{3}} \ m.

<em>So, the base of triangle = </em>\frac{8}{\sqrt{3}} \ m.<em />

Height=x\times\frac{3}{4} \\\\Height=\frac{16}{\sqrt{3}}\times \frac{3}{4} \\\\Height=\frac{12}{\sqrt{3}} \ m.

<em>Thus, the height of triangle =  </em>\frac{12}{\sqrt{3}} \ m.<em />

Therefore, the base of triangle is  \frac{8}{\sqrt{3}} \ m and the height of triangle is  \frac{12}{\sqrt{3}} \ m.

7 0
3 years ago
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