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3 years ago

9

Danna purchased a TV for $200. Eight months later, the same TV was selling for $160. What was the percent of decrease in the pri

ce?

2 answers:

alukav5142 [94]3 years ago

8 0

Answer: The answer is 20%

Step-by-step explanation: Im sure the answer is 20%. Hope this helps

andreyandreev [35.5K]3 years ago

8 0

Answer: 20%

Step-by-step explanation:

I hope this helps!

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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

4 years ago

Plzzzzzzzzzzzzzzzzzzzzzzzzzzz in need help

scoundrel [369]

Answer:

I think it's C but I'm not too sure

3 0

3 years ago

Reika [66]

Answer:

2x=80°

x=40°

40°+20°=60°

Step-by-step explanation:

all triangles are 180°

5 0

3 years ago

How to solve 2x+4 = 6x - 10

mars1129 [50]

Answer:

Step-by-step explanation:

2x + 4 = 6x - 10

Minus 2x on both sides

4 = 4x - 10

Add 10 on both sides

14 = 4x

Divide by 4 on both sides

14/4 = x

x = 14/4

Simplify fraction

x = 7/2 or x = 3 1/2

3 0

4 years ago

Find the least common multiple of 8c4 and 6c2 .

Ksju [112]

The least common multiple is the smallest term that can be divided to both terms without any remainder. For the two terms 8c^4 and 6c^2, you can determine it into two part. First, you find the LCM for 8 and 6. You find the prime number that is common between the two. That would be 2. For the variables c^4 and c^2, the 'prime variable' is c. Therefore, the least common multiple for 8c^4 and 6c^2 is 2c.

6 0

4 years ago