Choose if each statement is True or False.

{(2, 2), (3, 2), (4, 2), (6, 2)} is a function:

{(-1, 5), (0, 8), (3, 12), (6, 21)} is a function:

M is the midpoint of the line segment FG.

Being the midpoint means that M divides the line in two equal halves so you know that the distance between F and M is equal to the distance between M and G, symbolically:

FM=MG

And of you add them you'll be able to calculate the length of the whole line FG

34.

Given the expressions

FM= 5y+13

MG=5-3y

We know that FM=MG, so the first step is to replace this equivalency with the given expressions. This way you'll determine an equation with one unknown y.

Once you have the equation you can clear the value of y:

Pass all terms with the unknown to one side of the equation and all others to the other side:

y=-1

Now that you know the value of y, you can replace it in the given expressions to calculate the length of FG

The length of the line segment FG is 16 units.

The answer is: It will be a line.

Answer:

that's too easy

4 thousands=4000

12 hundreds=120

4000+120=4120

4 thousands and 12 hundreds

The solution to the given expression is 10√5 - 4√10 which is the correct answer would be an option (C)

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

The given expression as:

⇒ √5(10 - 4√2)

Open the parentheses and apply the distributive property of multiplication to get,

⇒ 10√5 - 4√5√2

⇒ 10√5 - 4√(5 × 2)

⇒ 10√5 - 4√10

Therefore, the solution to the given expression is 10√5 - 4√10.

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Given the function:

First part:

You need to substitute the following value of "x" into the function:

In order to find:

Then, substituting and evaluating, you get:

Second part:

Substitute this value of "x" into the function:

And then evaluate, in order to find:

You get:

Since the Radicand is negative, it is not a Real Number.

Therefore, the answers are:

First part:

A.

Second part:

B. The answer is not a real number.

As you can see in the given figure, there are two different shapes.

One is a rectangle and the other is a triangle.

Recall that the area of a rectangle is given by

Where L is the length and W is the width.

As you can see from the figure,

W = 4

L = 5

So the area of the rectangle is

Recall that the area of a triangle is given by

Where b is the base of the triangle and h is the height of the triangle.

As you can see from the figure,

b = 4

h = 2

So the area of the triangle is

Now the total area of the shaded region is the sum of the area of the rectangle and the area of the triangle.

Therefore, the area of the shaded region is 24

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Notice that:

Therefore:

Then a carat is greater.

Now, since:

Then:

Simplifying the above result we get:

Also, since:

then:

Simplifying the above result we get:

Answer:

A carat is greater.

and

and

Weight of one apple is 8 ounces.

We have to calculate the weight of one apple. For that firstly, we have to calculate the weight of one apple in pounds because we have been given the weight of 96 apples in pounds. After that, we will convert it into ounces and we know that one pound is equal to 16 ounces.

A bushel has 96 apples.

We have been given weight of 1 bushel which is 48 pounds.

Weight of 96 apples = 48 pounds

We have to calculate weight of one apple.

Weight of one apple = 48/96 = 1/2 pound

1 pound = 16 ounces.

Now, we have to convert pounds into ounces

Weight of one apple = 1/2 * 16 ounces

= 8 ounces

Hence, the answer is 8 ounces.

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The formula for the area of a triangle is A is;

Let's check out the expression

To simplify, you have to add up similar terms. That is, add up everything that has an x, add up everything that has a y, and add up every independent term (no variable), as following:

And there we have the simplified expression.

Answer:

The equation for the value of OU is;

Explanation:

Given that S is the midpoint of segment OU.

Then;

Given in the question;

Substituting the values of OS and SU to get OU;

Therefore, the equation for the value of OU is;

She can make 3.3 pieces from the remaining length

From the question, the given parameters are:

We start by calculating the length of the remaining pieces as a whole

This is calculated as

Length of remaining piece + length used for project = Length of string

Substitute the known values in the above equation

So, we have

Length of remaining piece + 1/4 yard = 3 yards

Subtract 1/4 from both sides

Length of remaining piece = 2.75 yards

The number of pieces is then calculated as

Pieces = Length of remaining pieces/Length of each piece

This gives

Pieces = 2.75 yards/(5/6 yards)

Evaluate the quotient

Pieces = 3.3

Hence, the number of pieces she can make is 3.3

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where x is the first, y the second and z the third

the second gear has 13 more teeth than the first gear

The third gear has 15 more teeth than the second gear

we need solve z form the third equation and solve x from the second equation an replace on the first

replacing

so, the second gear have 35 teeth

Answer:

If the half-life of a nuclide is 44.5 days, then 178 days is four half-lives.

explanation:

After four half-lives, 0.0625 (0.54) of the original nuclides remains. If 50g is the original mass, then the mass after 4 half-lives is 3.125g.

AT = A0 2(-T/H)

A178 = (50) 2(-44.5/178)

A178 = 3.125

Answer: the answer is 441

Step-by-step explanation: 75% of 588 is 441

We will have the following:

We translate the points:

A(-12, 3)

B(-6, -3)

C(-12, -9)

The transformation rule is (x, y) -> (x + 14, y + 13); so:

A'(2, 16)

B'(8, 10)

C'(2, 4)

Answer:

1

Explanation:

Given:

To evaluate the expression above, apply the law of indices below.

That is, whenever a number (except 0) is raised to the power of 0, the result is always 1.

Therefore:

If we get the cross section perpendicular to the base of this image, we would get the same shape as the image.

Through the diagram, we can see that if we cut the image to get the cross section perpendicular to its base, we would get the same shape as the image, which is a pentagon.

A graph of which best describes what the proportional relationship would look like is: D. A line passes through the point (0, 0) and continues through the point (12, 3).

In Mathematics, a graph is used to graphically represent data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis respectively.

Additionally, a graph that represents a proportional relationship between two variables would always have a straight line with its data points passing through the origin (0, 0).

Since the graph represents a proportional relationship we have:

Constant of proportionality, k = 12/3 = 8/2 = 24/6 = 4

Ratio = 24:6 = 12:3.

Therefore, (0, 0) and (12, 3) are points on this graph that represents a proportional relationship.

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Answer:d

Step-by-step explanation:trust

The coordinates are made up of an x-​​coordinate and a y-coordinate, written in the form (x, y), the translation given is (x + 1, y - 1), which means adding +1 to all x-coordinates and subtracting -1 to all y-coordinate.

Then, the pair B(0, -4) will be transformed into B'(0 + 1, -4 - 1) → B'( 1, -5)

C( -1, 1) → C' (-1 + 1, 1 - 1) → C'( 0, 0)

D( 1, 3) → D' ( 1 + 1, 3 - 1) → D'( 2, 2)

E( 4, -1) → E' ( 4 + 1, -1 - 1) → E'( 5, -2)

we know that

the total lemonade is 1 1/2 liter

She pours 1/4 of a liter of lemonade into a thermos

Her brother drinks 2/5 of the remaining lemonade

the remaining lemonade is equal to

1 1/2-1/4=3/2-1/4=5/4 liters

Multiply by 2/5

(5/4)(2/5)=10/20=1/2 liter

therefore

answer is option

C. (1 1/2 - 1/4) x 2/5

Answer:25

Step-by-step explanation:

No,  the form that Maria expanded is not correct.

What does it mean to "extend and simplify"?

We must multiply out the brackets in order to expand and simplify an expression, and we must then collect like words in order to simplify the resulting expression. We take out brackets by expanding them, often known as multiplying out.

Given:

(x+3)²

= x² + 2 . 3 . x + 3²

= x² + 6x + 9

Therefore the correct expansion is x² + 6x + 9.

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Question:

Maria expanded the following square (x+3)^2=x^2 Is the form she used correct?

The answer is either Option (a) or option(b) or both the options i.e, 120 or √144

What is Integer ?

An  integer is a whole number from the set of -ve , non-negative , +ve and 0 numbers.

Let's see how both the option is  correct

we know, integers are 0,1, 2, 3, .... or -1, -2 , -3 ......

Means the number which is not in fraction or decimal value or root.

so, by seeing option(a) we can say it's an integer

but in option(b) it's the root so how it is integer

The answer is simple it's perfect square of 12 so √144 = 12 so that means it have the value which is not in fraction. By that we can say that option(b) is also an integer

Now, in option(c) and (d) they are not the perfect square and their root results in decimal values. so we cannot tell them as an integer value.

Hence, the answer is either Option (a) or option(b) or both the options.

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Answer:x=39

Step-by-step explanation:

x-23=16

x=16+23

x=39

Answer:

16.6%

Step-by-step explanation:

First, find the difference between the prices:

$3.95 - $3.45 = $0.50

Then, divide the difference by yesterday's price.

$0.50 ÷ $3.95

≈ 0.166

≈ 16.6%

Answer:

12.7%

Step-by-step explanation:

$3.95 - $3.45 = $.50

$.50 / $3.95 = .127 = 12.7%

Angle IJL is 54 because congruent angles have equal measure.

What are congruent angles?

Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other. The type of angles does not make any difference in the congruence of angles, which means they can be acute, obtuse, exterior, or interior angles.

According to question, angle m IKL = 54

And AB// CD and EF// GH

Angle IKL is alternate interior angle to angle HLK

m angle HLK= m angle IKL (congruent angles have equal measure)

m angle HLK= 54

Similarly, m angle IJL = m angle HLK

Hence, angle IJL= 54

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SOLUTION

The given complex expression is:

Rationalize the denominator

This gives