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3 years ago

Please help asap! xoxo

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

8 0

Answer:

First one obv false

the second one since they all times 3/4 so yes

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Q3: Identify the graph of the equation and write and equation of the translated or rotated graph in general form. (Picture Provi

natta225 [31]

Answer:

b. circle; $2(x')^2+2(y')^2-5x'-5\sqrt{3}y'-6 =0$

Step-by-step explanation:

The given conic has equation;

$x^2-5x+y^2=3$

We complete the square to obtain;

$(x-\frac{5}{2})^2+(y-0)^2=\frac{37}{4}$

This is a circle with center;

$(\frac{5}{2},0)$

This implies that;

$x=\frac{5}{2},y=0$

When the circle is rotated through an angle of $\theta=\frac{\pi}{3}$ ,

The new center is obtained using;

$x'=x\cos(\theta)+y\sin(\theta)$ and $y'=-x\sin(\theta)+y\cos(\theta)$

We plug in the given angle with x and y values to get;

$x'=(\frac{5}{2})\cos(\frac{\pi}{3})+(0)\sin(\frac{\pi}{3})$ and $y'=--(\frac{5}{2})\sin(\frac{\pi}{3})+(0)\cos(\frac{\pi}{3})$

This gives us;

$x'=\frac{5}{4} ,y'=\frac{5\sqrt{3} }{4}$

The equation of the rotated circle is;

$(x'-\frac{5}{4})^2+(y'-\frac{5\sqrt{3} }{4})^2=\frac{37}{4}$

Expand;

$(x')^2+(y')^2-\frac{5\sqrt{3} }{2}y'-\frac{5}{2}x'+\frac{25}{4} =\frac{37}{4}$

Multiply through by 4; to get

$4(x')^2+4(y')^2-10\sqrt{3}y'-10x'+25 =37$

Write in general form;

$4(x')^2+4(y')^2-10x'-10\sqrt{3}y'-12 =0$

Divide through by 2.

$2(x')^2+2(y')^2-5x'-5\sqrt{3}y'-6 =0$

8 0

3 years ago

28 divided by a number s

Eduardwww [97]

Answer:

Step-by-step explanation:

I assume that you are wanting an algebraic expression written. if not, please let me know!

When we divide numbers by each other, we write them as a fraction, the number being divided over the number it's divided by. in this case, the number we're dividing is 28, and the number we're dividing it by an unknown factor s.

8 0

3 years ago

Read 2 more answers

Can someone please help me

GarryVolchara [31]

The factory produce 11 shirt in half minute (30 seconds)

7 0

3 years ago

Then choose the point P below that has the following property: If point P is added to the given set of points, then point P woul

likoan [24]

Answer:

when the point p is added to set of points. the closest pairs would be (a) (0,5)

Step-by-step explanation:

Because at 0 the value of x is at its minimal or its simply at the origin.

hence we conclude that the closest point when p is added to the given set of points is (0,5)

5 0

3 years ago

ellie is buying bird seed to put in her bird feeders. She uses about 10 pounds of bird seed each week, but has room to store any

Bogdan [553]

11 pounds is the best deal

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3 years ago