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3 years ago

Which linear inequality is represented by the graph?

Mathematics

1 answer:

Serga [27]3 years ago

7 0

Answer:

A. y ≤ 1/2x + 2

Step-by-step explanation:

Well look at the graph,

It is a solid line with it shaded down,

meaning it is y ≤,

So we can cross out B. and D.

So the y intercept is 2, we know this because the y intercept is the point on the line that touches the y axis.

now the slope can be found by seeing how far away each points are from each other,

Hence, the answer is A. y ≤ 1/2x + 2

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What type of conic section is represented by the parametric equations below? X=3cos(t)-1 y=3sin(t)+4

Andrei [34K]

Answer:

Circle

Step-by-step explanation:

Examples of conic sections are the circle, the ellipse, the parabola and the hyperbola. Parametric equations are used to express the x and y variables in terms of a less complicated manner using a third variable (t or θ).

The parametric equation for a circle with an equation $(x-h)^2+(y-k)^2=r^2$ is given by:

$x=rcos(t)+h, y=rsin(t)+k$

where r is the radius of the circle and (h, k) is the center of the circle.

A conic section with a parametric equations X=3cos(t)-1, y=3sin(t)+4 is a circle with center at (-1, 4) and radius of 3. The equation of the circle is:

(x + 1)² + (y - 4)² = 3²

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