Henry purchased compact dkks for $112. The compact discs cost $16 each.
Which of the following equations could you use to find how many compact dises, Henry pureme
412 -
2012 - 316
$16 = $112*
$112x316

Answer:

[tex]\left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right )[/tex].

Step-by-step explanation:

We need to find all the points on the curve x=4cos(t),y=4sin(t) that have the slope of 1/2.

[tex]x=4cos (t)[/tex]

[tex]\dfrac{dx}{dt}=-4sin (t)[/tex]

[tex]y=4sin (t)[/tex]

[tex]\dfrac{dy}{dt}=4cos (t)[/tex]

Now,

[tex]\dfrac{dy}{dx}=\dfrac{dy}{dt}\times \dfrac{dt}{dx}[/tex]

[tex]\dfrac{dy}{dx}=4cos (t)\times \dfrac{1}{-4sin (t)}[/tex]

[tex]\dfrac{dy}{dx}=-\cot t[/tex]

So, slope of the curve is [tex]-\cot t[/tex].

[tex]-\cot t=\dfrac{1}{2}[/tex]

[tex]-\tan t=2[/tex]

[tex]\tan t=-2[/tex]            ...(1)

Using [tex]\sec^2t=1+\tan^2t[/tex], we get

[tex]\sec^2t=1+(-2)^2[/tex]

[tex]\sec^2t=1+4[/tex]

[tex]\sec t=\pm \sqrt{5}[/tex]

[tex]\cos t=\pm \dfrac{1}{\sqrt{5}}[/tex]

Now,

[tex]\sin^2t=1-cos^2t[/tex]

[tex]\sin t=\pm \sqrt{1-\dfrac{1}{5}}[/tex]

[tex]\sin t=\pm \sqrt{\dfrac{4}{5}}[/tex]

[tex]\sin t=\pm \dfrac{2}{\sqrt{5}}[/tex]

It equation (1), tan(t) is negative. So, sin and cos have different signs.

If [tex]\sin t= \dfrac{2}{\sqrt{5}}[/tex], then [tex]\cos t=- \dfrac{1}{\sqrt{5}}[/tex].

[tex]x=4cos (t)=-\dfrac{4}{\sqrt{5}}[/tex]

[tex]y=4sin (t)=\dfrac{8}{\sqrt{5}}[/tex]

If [tex]\sin t=- \dfrac{2}{\sqrt{5}}[/tex], then [tex]\cos t= \dfrac{1}{\sqrt{5}}[/tex].

[tex]x=4cos (t)=\dfrac{4}{\sqrt{5}}[/tex]

[tex]y=4sin (t)=-\dfrac{8}{\sqrt{5}}[/tex]

Therefore, the two points are [tex]\left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right )[/tex].

Answer:

7

Step-by-step explanation:

35x2=70 14/2=7

Answer: 3/7

Step-by-step explanation:

Answer:

12/28 is 3 /7 is your answer

Answer: should be 4.13

Step-by-step explanation: -12.4 divided by 3 is -4.13333333333 and goes on

Answer:

C. reflection across the x-axis

Answer:

C

Step-by-step explanation:

This is a reflection across the x-axis because it is the same thing but reflected.

Hope this helps.

Answer:

107x-

-------

100

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

hope this helps

Answer:

C. Multiply/divide both sides by the same non-zero constant

A. Yes

Just Did It On Khan Academy

Step-by-step explanation:

To get equation A from equation B multiply/divide only one side by a non-zero constant option (C) Multiply/divide only one side by a non-zero constant is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

Two linear equations:

A.   3(x + 2) = 18

B.    x + 2 = 18

In equation B multiply by 3 on one side:

3(x + 2) = 18

Thus, to get equation A from equation B multiply/divide only one side by a non-zero constant option (C) Multiply/divide only one side by a non-zero constant is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Answer:

  B. 7⁸

Step-by-step explanation:

The four factors of 7 in the denominator cancel four of the twelve factors of 7 in the numerator, leaving 8. When a product consists of 8 factors of 7, we write it as ...

  7⁸

Answer:

B

Step-by-step explanation:

7^12 / 7^4 = 7^8

Answer:

1.8.09

2.-6

Step-by-step explanation:

1. 11b=89

b=89/11

8.09

2. 13+k/3=11

k/3=11-13

k/3=-2

k=-2*3

=-6

Answer:

Number 2 is - 6

Step-by-step explanation:

2. 13 + k/3 = 11

We can start off my subtracting 13 in both sides.

-13 + 13 + k/3 = 11 - 13

k/3 = -2. now we have to multiply 3 in both sides

3 x k/3 = -2 x 3

k = -6

Hope this helps!!

Answer:

x=7

Step-by-step explanation:

because u add the like terms so

3x+2x

which would be

5× so now its

5x+5=12+4x

-4. -4

x+5=12

-5. -5

x=7

Answer:

A rotation 90° counterclockwise about the origin followed by a reflection across the x-axis

Step-by-step explanation:

it's rotated about the origin counterclockwise by 90 degrees and then reflected over the X axis in order to find the shape there.

Answer:

Sloppy

_________

Answer:

sloppy

Step-by-step explanation:

it basically give a description that not everyone would think about it. if i described texas A&M as Trash not all people think that therefore making the statement an opinion and bias.

Answer:

13 weeks

Step-by-step explanation:

Add 590 and 60 together and then divide by 50 and you'll get 13

Answer:

m = -1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

m = -1

☽------------❀-------------☾

Hi there!

~

Let's solve your equation step-by-step.

[tex]6(m+2)+6m=-5(-7m-7)[/tex]

Step 1: Simplify both sides of the equation.

[tex]6(m+2)+6m=-5(-7m-7)[/tex]

[tex](6)^{(m)} + (6)(2)+6m= (-5)(-7m)+(-5)(-7)[/tex] (Distribute)

[tex]6m+12+6m=35m+35[/tex]

[tex](6m + 6m)+(12)=35m + 35[/tex] (Combine Like Terms)

[tex]12m + 12 = 35m + 35[/tex]

[tex]12m + 12 = 35m + 35[/tex]

Step 2: Subtract 35m from both sides.

[tex]12m + 12 - 35m = 35m + 35 - 35m[/tex]

[tex]-23m + 12 = 35[/tex]

Step 3: Subtract 12 from both sides.

[tex]-23m + 12 - 12= 35 - 12[/tex]

[tex]-23m = 23[/tex]

Step 4: Divide both sides by -23.

[tex]\frac{-23m}{-23} = \frac{23}{-23}[/tex]

[tex]m = 1[/tex]

❀Hope this helped you!❀

☽------------❀-------------☾

Answer: -36 is your answer

Step-by-step explanation:

Answer:

price of tv = 3000

discount =1560

discount % = 1560/3000 * 100% = 52%

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Formula =discount ×100÷original price

1560×100÷3000=52%

Answer:

2.2 miles

Step-by-step explanation:

6.7 - 4.5 = 2.2

Answer:

6.7 miles

Step-by-step explanation:

The sentence about 4.5 miles is extra info. you don't need. In the question it says he needs to run 6.7 miles, then continues to ask how many miles he needs to run.

I hope this answers your question and you understand! Have a great rest of your day! :)

Answer:

plane Q

Step-by-step explanation:

Please marke as a brainlist...

Answer:

-Managing money $$$

-Balancing the checkbook.

-Shopping for the best price.

-Preparing food.

-Figuring out distance, time and cost for travel.

-Understanding loans for cars, trucks, homes, schooling or other purposes.

-Understanding sports (being a player and team statistics)

-Playing music.

These are things we do everyday that use Math.

Mathematics makes our life orderly and prevents chaos. Certain qualities that are nurtured by mathematics are power of reasoning, creativity, abstract or spatial thinking, critical thinking, problem-solving ability and even effective communication skills.

Answer:

A

Step-by-step explanation:

Answer:

x= 1.79

Step-by-step explanation:

x-0.63=1.16 add 0.63 to both sides

x= 1.79

Answer:

x =1.79

Step-by-step explanation:

x -0.63 = 1.16

Add .63 to each side

x -0.63+.63 = 1.16+.63

x =1.79

You shouldn't need a calculator for this. The quadratic equation is written in standard form.

ax^2 + bx + c = 0

You substitute a, b, and c into the discriminant formula and solve as shown in the example in the picture you provided.

(-7)^2 - 4(2)(-8)

49 - 4(-16)

49 - (-64)

49 + 64

113

Best of Luck!

Answer:

9,000,000

Step-by-step explanation:

Since the 5 next to the 8 is a number with a value of 5 or higher, you can round the 8 up to a 9 thus rounding to the nearest million.

Answer:

No solution it IS STUPID.

Step-by-step explanation:

Answer:

that question is stupid.

Answer:

2/7 as decimal is 0.28

2/7(x+4)=-6

2/7x+ 1 1/4= -6

-6 - 1 1/4 = -7.25

0.28x = -7.25

x = -25.89

Answer:

1.688 the 8 will keep repeating

Step-by-step explanation:

Answer:

76/45 or 1.69 (rounded)

Step-by-step explanation:

First, you want to find the LCM (Lowest Common Multiple) of the two fractions.

Here, the LCM would be 45 (5*9).

So the fraction would become:

[tex]\frac{4*9}{45} + \frac{8*5}{45} \\\\\frac{36+40}{45} \\\\\frac{76}{45}[/tex]

The probablity of rolling a 4 = 1/7

There are 4 odd numbers, so the probablity of rolling an odd number = 4/7

4/7 + 1/7 = 5/7

Answer: 6 tons

Step-by-step explanation: 4:10 is also 2/5 so all we need to do is 2/5 of 15 which is 6. [15x(2/5)]

Hope this helps!

Please mark Brainliest!