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EleoNora [17]
2 years ago
6

What does the equation 7x^2-3y^2-x+2y+4=0 represent

Mathematics
1 answer:
Romashka [77]2 years ago
8 0

Answer:

Circle

Step-by-step explanation:

because a hyper bole is (y-k) 2b2 -(x-h) 2a2=1

ellipse is = (x-h) 2a2 + (y-k) 2b2 = 1

parabola is y= a (x-h) 2+ k

that's why circle is the answer

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Which of the equations below could be the equation of this parabola?
nirvana33 [79]

Answer:

 y=-4x^2  is the equation of this parabola.

Step-by-step explanation:

Let us consider the equation

y=-4x^2

\mathrm{Domain\:of\:}\:-4x^2\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

\mathrm{Range\:of\:}-4x^2:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\le \:0\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:0]\end{bmatrix}

\mathrm{Axis\:interception\:points\:of}\:-4x^2:\quad \mathrm{X\:Intercepts}:\:\left(0,\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:0\right)

As

\mathrm{The\:vertex\:of\:an\:up-down\:facing\:parabola\:of\:the\:form}\:y=a\left(x-m\right)\left(x-n\right)

\mathrm{is\:the\:average\:of\:the\:zeros}\:x_v=\frac{m+n}{2}

y=-4x^2

\mathrm{The\:parabola\:params\:are:}

a=-4,\:m=0,\:n=0

x_v=\frac{m+n}{2}

x_v=\frac{0+0}{2}

x_v=0

\mathrm{Plug\:in}\:\:x_v=0\:\mathrm{to\:find\:the}\:y_v\:\mathrm{value}

y_v=-4\cdot \:0^2

y_v=0

Therefore, the parabola vertex is

\left(0,\:0\right)

\mathrm{If}\:a

\mathrm{If}\:a>0,\:\mathrm{then\:the\:vertex\:is\:a\:minimum\:value}

a=-4

\mathrm{Maximum}\space\left(0,\:0\right)

so,

\mathrm{Vertex\:of}\:-4x^2:\quad \mathrm{Maximum}\space\left(0,\:0\right)

Therefore,  y=-4x^2  is the equation of this parabola. The graph is also attached.

7 0
3 years ago
PLZZZZZ HELP!!! WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!
postnew [5]

Answer:

radius: DF (it is a line segment drawn from the center of the circle to any point on the circle)

diameter: AC ( it is a straight line passing through the center of the circle and intersecting the circle at two distinct points)

chord : AB ( it is a line segment joining any two points on the circle)

8 0
3 years ago
Read 2 more answers
In a geometric sequence, if a3 = ‒5 and a6 = 40, determine a1, r, and an. Then write the first three terms of the sequence.
Tresset [83]
a_4=ra_3
a_5=ra_4=r^2a_3
a_6=ra_5=r^3a_3

40=-5r^3\implies r^3=-8\implies r=-2

a_3=ra_2=r^2a_1

-5=(-2)^2a_1\implies a_1=-\dfrac54

You know the first and third terms, a_1 and a_3, so you just need to find the second term a_2:

a_2=ra_1\implies a_2=-2\left(-\dfrac54\right)=\dfrac52
7 0
3 years ago
Simplify the radical /1829.
Airida [17]

Answer:

Step-by-step explanation:

7 0
3 years ago
Whoever answers right gets brainliest
Softa [21]

Answer:

37

Step-by-step explanation:

Split the arrow into a rectangle and triangle. The area of the rectangle is 7x4=28. The area of the triangle is 6*3/2=9. 28+9=37

8 0
3 years ago
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