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2 years ago

How do you do this? Please help!

Mathematics

1 answer:

jeka942 years ago

4 0

A=((8.9+8.9)/2) * 5.4 = 48.06P= 8.9*2 +6*2 = 28.4

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Slope: -3/5;y-intercept: -1/5

astraxan [27]

Answer:

y= -3/5x - 1/5

Step-by-step explanation:

The slope formula:

y=mx+b

m = slope, which is -3/5 in your case

b= your y-intercept, which is -1/5 in your case

Simply plug it in and you get your answer.

6 0

3 years ago

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

Suppose y varies directly with x. if y= 24 when x = 4, what is y when x = 9?

enot [183]

Answer: y=54

Step-by-step explanation: so 24/4 is 6 soooo 9*6=54 ez

7 0

3 years ago

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Helpppppppppppppppp meh

lesantik [10]

Slope = -1/2 hope that helps.........

7 0

3 years ago

Read 2 more answers

Real word problems that have more than one answer can be described by relations?

AleksandrR [38]

Yes that is correct!

3 0

3 years ago