The sum of 6 and 3 divided by the difference of 6 minus 3

To find the scale factor  the ratio of one length to the other is determined.

The scale factor is a measurement for comparing figures with similar appearances but differing scales or metrics.

Consider two squares that appear to be similar yet have different length of side.

The scale factor describes how much a figure has grown or shrunk in comparison to its original size.

Scale Factor is determined by dividing the new figure dimensions with the original figure.

For scale up the formula is Dimensions of the bigger figure / Dimensions of the smaller one.

On a graph

On each figure, find two corresponding sides.

To find the scale factor  the ratio of one length to the other is determined.

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-2(x+14)+1=15

distribute

-2x - 14 + 1 = 15

add 14 to each side

-2x + 1 = 29

subtract one from each side

-2x = 28

divided by -2

x = -14

-2(x+14)+1=5

First, distribute -2 into x and 14.

-2x-28+1=5

Combine like terms.

-2x-27=5

Add 27 to both sides.

-2x=32

Divide both sides by -2.

x=-16

Your answer is -16.

I hope this helps :)

Answer:

(x-9)(x-3) which is the same as (x-3)(x-9)

Step-by-step explanation:

Think of ways to factor the last number 27. One way is 1*27 = 27. Another way is 3*9 = 27 and so on. Now think to yourself "which factor of 27 add to -12?". You'll need to consider negative factors. It turns out that

-3 plus -9 = -12

-3 times -9 = 27

Therefore the two values we care about are -9 and -3. So x^2-12+27 factors to (x-3)(x-9). The order of the factors does not matter. So we can write the answer as (x-9)(x-3) just fine.

Answer:

The weight of the parcel is approximately 6 kilograms.

Step-by-step explanation:

The weight of the parcel is  12 lbs and 8 oz.

1 lb = 16 oz

So,  8 oz = [tex]\frac{1}{2}lb = 0.5[/tex] lb.

That means,  12 lbs and 8 oz = (12 + 0.5) lbs = 12.5 lbs

Now, 1 lb = 454 g

So,  12.5 lbs = (12.5 × 454) g = 5675 g

As,  1 kilogram = 1000 g

That means, 1 g = 0.001 kilogram

So,  5675 g [tex]= (5675 \times0.001) kilograms= 5.675 \approx 6[/tex] kilograms. (Rounded to the nearest whole kilogram)

Thus, the weight of the parcel is approximately 6 kilograms.

the dimensions are 7, 9, 9 because when you do 9+9 which is both sides except the garage you get 7

-hope this helps

This is a Mathematics problem about perimeter. If Brian has 25ft of fencing and one side of the rectangle is 9ft, the equation created is 2x =16. Solving for x gives the other dimension as 8ft which means the kennel's dimensions are 9ft by 8ft.

The subject of this question is Mathematics and it involves a problem of perimeter in geometry. In this problem, Brian has 25ft of fencing and one side of the rectangular area, the one against the garage, doesn't need fencing, and that side is 9ft.

Let the other side be 'x'. In a rectangle, opposite sides are equal. Since one of the sides is already fenced, we need fencing for only three sides. So we can create the equation 9 + x + x = 25. This simplifies to 2x = 16. Therefore, 'x' equals 8. The dimensions of the rectangular kennel are 9ft by 8ft.

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a) plug in x =2700 into the given equation and solve for y

b) plug in y = 43 into the given equation and solve for x

c) plug in y = 0 into the given equation and solve for x

hope this helps.

EXPLANATION

The reason is that

[tex]i^2=-1[/tex]

If we multiply [tex]a+bi[/tex] by its conjugate [tex]a-bi[/tex]

We obtain;

[tex](a+bi)(a-bi)[/tex]

This is difference of two squares so we obtain;

[tex](a+bi)(a-bi)=a^2-(bi)^2[/tex]

This further gives us,

[tex](a+bi)(a-bi)=a^2-b^2i^2[/tex]

Since the [tex]i^2=-1[/tex], we substite to get;

[tex](a+bi)(a-bi)=a^2-b^2(-1)[/tex]

The [tex]i[/tex] is now eliminated and we get,

[tex](a+bi)(a-bi)=a^2+b^2[/tex]

Multiplying a complex number by its conjugate eliminates the imaginary part because [tex]\(i^2\)[/tex] equals -1, simplifying to a real number.

Multiplying a complex number [tex]\(a + bi\)[/tex] by its conjugate[tex]\(a - bi\)[/tex] eliminates the imaginary part because of the difference of squares. Let's break it down:

Step 1:

Write the complex number and its conjugate.

[tex]\(a + bi\) and \(a - bi\).[/tex]

Step 2:

Multiply using the distributive property.

[tex]\((a + bi)(a - bi)\).[/tex]

Step 3:

Apply the FOIL method (First, Outer, Inner, Last).

[tex]\((a \times a) + (a \times -bi) + (bi \times a) + (bi \times -bi)\).[/tex]

Step 4:

Simplify the product.

[tex]\(a^2 - abi + abi - (bi)^2\).[/tex]

Step 5:

Notice that the cross terms [tex]\(abi\)[/tex] and [tex]\(-abi\)[/tex] cancel each other out.

[tex]\(a^2 - (bi)^2\).[/tex]

Step 6:

Recall that [tex]\(i^2 = -1\), so \((bi)^2 = -b^2\).[/tex]

[tex]\(a^2 - (-b^2)\).[/tex]

Step 7:

Simplify further to obtain the final expression.

[tex]\(a^2 + b^2\).[/tex]

The resulting expression, [tex]\(a^2 + b^2\),[/tex] is real and has no imaginary component, hence eliminating the [tex]\(i\).[/tex] This process is fundamental in simplifying expressions involving complex numbers.

1 cup of milk is used with  

3

4

cup of water

Explanation:

A comparison between the cups of milk and cups of water can be written as a ratio:

Note that:  

1

3

>

1

4

milk : water

1

3

:

1

4

←

×

12

to get rid of fractions

12

1

×

1

3

:

12

1

×

1

4

4

:

3

4 cups of milk are used with 3 cups of water  

←

÷

4

1 cup of milk is used with  

3

4

cup of water

Answer:

D is -31 also i checked to make sure.

Answer:

b

Step-by-step explanation:

b makes sense

hope this helps

Answer:

(-1)^2 = +1

Step-by-step explanation:

(-1)(-1) is equivalent to (-1)^2, and vice versa.  Recall that when two negative numbers are mult. together, the product is positive.  Thus, (-1)^2 = +1.

Based on the definition of the square of a negative number, the result of (-1)² is: 1.

The square of a number represented as "x" can be found by multiplying "x" by itself, expressed as x², where "x" represents the number being squared.

When you square a number, you multiply it by itself. In this case, you are squaring -1.

Calculation:

(-1)² = (-1) * (-1) = 1

So, (-1)² is equal to 1. The negative sign is squared along with the number, resulting in a positive value.

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That is very false and true! because 3 6 9 12 15 18 21 it skips in and out like a pattern!

Answer: the solution is x<-3 or x>-3

Step-by-step explanation:

Okay so slope intercept form is y=mx+b so you move the numbers around and ill just do the work here:

10x-7y=-8

-10x to both sides

-7y=-10x-8

divide by -7

y=10/7x + 8/7

To change the standard linear equation 10x - 7y = -8 into slope-intercept form, you subtract 10x from both sides to isolate y and then divide every term by -7, resulting in the equation y = (10/7)x + 8/7.

To convert the given standard form linear equation, 10x - 7y = -8, into slope-intercept form, which is typically denoted as y = mx + b where m is the slope and b is the y-intercept, follow these steps:

So, the slope-intercept form of 10x - 7y = -8 is y = (10/7)x + 8/7.

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[tex]1m=100cm\to1cm=\dfrac{1}{100}m\\\\1dam=10m\\\\\text{therefore}\\\\\dfrac{2}{5}cm=\dfrac{2}{5}\cdot\dfrac{1}{100}m=\dfrac{1}{250}m\\\\\dfrac{1}{3}dam=\dfrac{1}{3}\cdot10m=\dfrac{10}{3}m\\\\\dfrac{2}{5}cm\times\dfrac{1}{3}dam=\dfrac{1}{250}m\times\dfrac{10}{3}m=\dfrac{1}{75}m^2[/tex]

The area of a rectangle is its length x width.

The perimeter of a rectangle is its length + length + width + width.

Let's have l stand for length and w for width.  A will stand for area and P for perimeter.  This gives us:

399 = l x w

80 = 2l + 2w  We can divide both sides of this equation by 2 to get 40 = l + w.

Now we need to find two numbers whose sum is 40 and product is 399.

Fitting some random numbers in gives us the numbers 19 and 21 for the length and width.

i cant tell what is says so ill just give you the formulas

perimiter = Length x 2 + Width x 2

Area = Length x Width.

Final answer:

The probability of selecting a blue marble from a jar with 10 blue marbles among a total of 100 marbles is 0.10 or 10%.

Explanation:

The probability of randomly selecting a blue marble from a jar containing 100 marbles with 10 blue marbles, 79 green marbles, 6 red marbles, and 5 yellow marbles is calculated using the formula:

Probability (P) = Number of favorable outcomes / Total number of outcomes

Here, the favorable outcomes are the blue marbles, and the total number of outcomes is the total number of marbles in the jar.

P(blue marble) = 10 blue marbles / 100 total marbles = 0.10 or 10%

This means there is a 10% chance of selecting a blue marble. This probability calculation assumes each marble has an equal chance of being selected.

Answer: 8, 21, 34, 47, 60...

Difference is 13 I added 13 each time.

if the lines are parallel the slopes are the same so m=5

the equation of a line given the slope and a point is

y-y1 = m(x-x1)

y-14= 5(x-2)

y-14 = 5x-10

y=5x+4

Joseph earns $15 for every lawn he mows. Is the amount of money he earns proportional to the number of lawns he mows? Make a table to help you identify the type of relationship.

First let's start by making a table. I've attached an image of my drawing of the table and how it should look like. Feel free to comment below any questions you may have! :)

The type of relationship is definitely proportional, as for every lawn Joseph mows he gains 15 dollars. The relationship would be y = 15x, where y represents Joseph's earnings and x represents the number of lawns Joseph mows.

Hope this helped you!

To identify the type of Relationship between the amount of money Joseph earns and the number of lawns he mows, we can create a table and analyze the values. The relationship is directly proportional, meaning the amount of money Joseph earns increases proportionally as the number of lawns mowed increases.

To identify the type of relationship between the amount of money Joseph earns and the number of lawns he mows, we can create a table. Let's say the number of lawns he mows is represented by x and the amount of money he earns is represented by y.

We can start by assigning different values to x and calculating the corresponding values of y. For example, if Joseph mows 1 lawn, he would earn $15. If he mows 2 lawns, he would earn $30, and so on. After creating the table, we can analyze the relationship.

In this case, we observe that the amount of money Joseph earns is directly proportional to the number of lawns he mows. This means that as the number of lawns increases, the amount of money Joseph earns also increases proportionally.

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The answer is 7.15 which is also equivalent to 7 15/20

Answer:

32 degrees

Step-by-step explanation:

Using the sine law:

sin 116/ 17 = sinx/ 10

10 (sin116) = 17 (sinx)

0.5287 = sinx

sin^-1 0.5287 = x

x = approximately 32 degrees

answer is 3/4 because that is 24/32 reduced

200 percent i am pretty sure

Answer:

The correct answer is D. I hope i help you))

The correct answer is Option D. The graphed function consists of a constant value of 5 for (x < 2) and a linear equation with a positive slope for ([tex]x \geq 2)[/tex]

The graph represents a piecewise function. Let’s analyze it step by step:

Left Segment (for (x < 2)):

The graph is a horizontal line at (y = 5).

This corresponds to the piecewise component (f(x) = 5) for (x < 2).

Right Segment (for [tex](x \geq 2))[/tex]:

The graph is an oblique line passing through points (2,5) and (5,8).

The slope of this line is [tex](\frac{8 - 5}{5 - 2} = 1).[/tex]

It intersects the y-axis at (y = -2).

This corresponds to the linear equation (f(x) = x + 3) for ([tex]x \geq 2[/tex]).

Therefore, the function graphed is a piecewise function with two parts:

For (x < 2): (f(x) = 5)

For [tex](x \geq 2)[/tex]: (f(x) = x + 3)

the answer is 340,000