Describe the difference between rotation and revolution. Your answer should include a definition of each as well as what each one causes.

Answer:

x: {-3, 5}

Step-by-step explanation:

Step 1. Find least common denominator

Step 2. Multiply missing factors on top AND bottom

Step 3. Combine like terms

Step 4. Simplify (get rid of denominator)

Step 5. Solve for x

[tex]\frac{x}{x-5} +\frac{3}{x+2} =\frac{7x}{x^2-3x-10}[/tex]            LCD = [tex]x^2-3x-10[/tex]   OR  [tex](x-5)(x+2)[/tex]

[tex]\frac{x}{x-5}(\frac{x+2}{x+2}) +\frac{3}{x+2}(\frac{x-5}{x-5}) =\frac{7x}{x^2-3x-10}[/tex]

[tex]\frac{x(x+2)}{(x-5)(x+2)} +\frac{3(x-5)}{(x+2)(x-5)} =\frac{7x}{(x-5)(x+2)}[/tex]

[tex]\frac{x(x+2)+3(x-5)}{(x-5)(x+2)} =\frac{7x}{(x-5)(x+2)}[/tex]

[tex]\frac{x^2+2x+3x-15}{(x-5)(x+2)} =\frac{7x}{(x-5)(x+2)}[/tex]

[tex]\frac{x^2+5x-15}{(x-5)(x+2)} =\frac{7x}{(x-5)(x+2)}[/tex]

[tex]x^2+5x-15=7x[/tex]

[tex]x^2-2x-15[/tex]

[tex](x-5)(x+3)[/tex]

x = -3, 5

[tex] \huge\fbox\green{ANSWER} [/tex]

Area is the amount of space taken up by a 2D shape

Answer:

The area is the extent or measurement of a surface or piece of land. You find out the area by doing the height x the Width.

Hope this helps..

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hope it helps ~

The expressions that can represent the total number of balloons in p packages of large balloons is 12 × p or 12p. Hence, options B and E are correct.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given statement in the question,

The number of balloons in the package = is 12

Total number of packages = p

Then, the expression for the number of balloons in the packaging will be equal to the

12 × p or,

It can be written as 12p.

To know more about equation:

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#SPJ2

Answer: 4 pounds > 60 ounces (D)

Step-by-step explanation:

Since there are 16 ounces in a pound, you just multiply 16 (ounces) by 4 (pounds). If you evaluate 16*4, you would get 64 ounces, so 64 is greater than 60. So the answer is D.

Answer: just graph it using the x and y coordinate points

Step-by-step explanation:

Answer:

(-4, -2)

Step-by-step explanation:

Rewrite the equations to make y the subject, so that it's easier to calculate the points on each line:

Equation 1

x - y = -2

⇒ x + 2 = y

⇒ y = x + 2

Equation 2

2x - 3y = -2

⇒ 2x + 2 = 3y

⇒ y = (2/3)x + 2/3

Calculate 2 points on each line:

Equation 1  (blue line on attached graph)

Substitute x = 0 and x = -2 into Equation 1 to create 2 points:

x = 0:   y = 0 + 2  ⇒ (0, 2)

x = -2:   y = -2 + 2  ⇒ (-2, 0)

Plot the points and draw a line through them.

Equation 2 (red line on attached graph)

Substitute x = 2 and x = -1 into Equation 1 to create 2 points:

x = 2:   y = (2/3)(2) + 2/3  ⇒ (2, 2)

x = -1:   y = (2/3)(-1) + 2/3  ⇒ (-1, 0)

Plot the points and draw a line through them.

Solution

The solution is the point where the two lines intersect.

Therefore, the point of intersection is (-4, -2)

Answer:

i think its y=-1

Step-by-step explanation:

hope u get it right

The resulting equation of that step is the square root of  (x + 2)²  is  (x + 2).

A square root function is defined as a one-to-one function that takes a positive number as an input and returns the square root of the given input number.

From there, it was pretty easy for Theo to find the solutions

to the original equation.

If  (x + 2) = +2 , then  x = 0 .

If  (x + 2) = -2 , then  x = -4

Hence, the resulting equation of that step is the square root of  (x + 2)²  is  (x + 2).

To know more about the square root function click the link given below.

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Answer:

the first and second one

Step-by-step explanation:

the two last ones go over budget

1) 20×30=600 30×50=1500 total is 2100

2)50×30=1500 10×50= 500 total is 2000

3) 40×30=1200 40×50=2000 total is 3100>over budget.

4) 20×30=600 60×50=3000 total is 3600> way over budget.

Answer:

385 cubes

Step-by-step explanation:

11*7*5=385 cubes

Answer:

Mitch did not make a mistake

Step-by-step explanation:

The -2 and 2 on the right side cancel out and so you are left with 7.7-2=w. Combine like terms and your left with 5.7=w

Answer:

[tex] \sf \fbox{Option D have pair of triangles are similiar}[/tex]

Step-by-step explanation:

To prove triangles are pair we will use AAA property.

ln option A the given triangles 1 & 2 have a 36° Angle, but the remaining two angles of both the traingle are not mentioned, as long as we don't know the measure of other two angle of both the traingle we can't say that pair of triangles are similar.

Similarly In option B triangles 3 & 4 can't be pair of similar triangle

In option C triangle 5 & 6 don't have any common angle, hence it does not follows AAA property and the given pair of traingles are not similar.

In option D Two angles of each triangle are given so we can easily find the third angle of both the triangle. let's solve for the third angles of triangle 7 and 8.

in triangle 7,

All three angles of triangle 7 are 30, 60 & 90

Now in triangle 8,

All three angles of triangle 8 are 30, 60 & 90

Hence, both the triangles have same measure of all three angles we can say that triangle 7 & 8 are similar triangle.

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The radius is 5 so you can add 5 to the y value of the center to get (3,8)

Answer:

15

Step-by-step explanation:

yessir

simple interest:  i = p * r * t; compound interest would be A=p(1+r/n)^(nt)

Here,   A = $500 (1.10)^2 = $605 (answer for "once per year."

Once per month:

A = $500 (1 + 0.10/12)^(12*2) = $610.20

Once per week:  Can y ou figure that out?  # of compounding periods is 12 per year in this problem.

Answer:

32

Step-by-step explanation:

Answer:

Instructions on making a parallelogram is stated below!

Step-by-step explanation:

To create a parallelogram with base measuring 6 units and the height 4 units:

Note: The height of the parallelogram must be perpendicular to the base.

Answer:

That angle looks like a reflex angle

Step-by-step explanation:

I think D is the answer, since Reflex angles are ALWAYS be more than 180 and less than 360

I hope this helps! So srry if its wrong

Answer:

B

Step-by-step explanation:

Because 0.75 is less than 1, the bigger x is, the smaller the whole thing will get. And the 4.1 in front is the starting point on the left side of the graph. Like on an actual graph with numbers:

If x is 0, f(x) is 4.1

If x is 5, f(x) is 0.97

The graph is decreasing. This is an equation and graph for "decay"

The sections of the garden is an illustration of fractions

The number sentence best shows whether Imelda is correct is 1/2 ÷ 3

From the question, we understand that she plants in 1/2 of the garden

Then 1/2 of the garden is divided into 3 sections, one of which is used to plant tulips

So, the area in which tulips are planted is:

Tulip = 1/2 ÷ 3

Hence, the number sentence best shows whether Imelda is correct is 1/2 ÷ 3

Read more about number sentence at:

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Answer:

42

Step-by-step explanation:

2x = 84

x = roses

x = 84/2

x = 42

Answer:

$42.00

Step-by-step explanation:

You divide 84 by 2 and find the answer 42. Therefore, each rose is 42 dollars.

Answer: 17160 feet

Step-by-step explanation:

We know that 5280 feet = 1 mile

So all we have to do is multiply 3 1/4 by 5280

Let's split the 3 and 1/4 up to make the multiplication easier

3×5280=15840

[tex]\frac{1}{4}[/tex]×5280=[tex]\frac{5280}{4} =1320[/tex]

Now add them together

15840+1320=17160

-3

Hope it helps.

Do comment if you have any query.

u forgot to add a question

Using the table at the right, Kim would have to classify the water as gaseous matter in this case.

The states of matter are the distinct form in which matter exists. There are 5 states of matter Solids; Liquids; Gaseous; Plasma; and Bose-Einstein condensate.

Kim classify the water as gaseous because she boiled all the liquid away. Hence in their evaporated state, the water now assumes a gaseous form.

The masses of solids left in the there samples were 2.025 grams, 457 mg, and 589 mg.

Matter can exist in various states. They are Solids; Liquids; Gaseous; Plasma; and Bose-Einstein condensate. (which is Man-made).

Learn more about states of matter at:

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Answer:

the median is 15, there is no mode.

Step-by-step explanation:

to find the median- put the numbers in order from least to greatest (13,14,14,16,16,19) use a sheet of paper and cross off each number on the ends until you get to the middle. Once you have reached the middle you should have the two numbers 14, 16. Take 14 and 16, add them together and you will get 30. Divide 30 by 2 because there is two numbers for the median. You should end with 15 as your median.

to find the mode- find the number that occurs the most in the set of numbers, in this case all numbers occur the same amount of times, so therefor there is no mode.

happy to help<33.

Step-by-step explanation:

To make a stem and leaf plot, each observed value must first be separated into its two parts:

1)The stem is the first digit or digits;

2)The leaf is the final digit of a value;

3)Each stem can consist of any number of digits; but,

4) Each leaf can have only a single digit.

I've attached a picture for better understanding. hope this is helpful.