Rectangle EFGH is translated according to the rule T–5, 9(x, y). If the coordinates of the pre-image of point H are (–2, –3), what are the coordinates of H'?

The number of permutations of 6 items that can be selected from a group of 6 is; 120 ways.

List of permutations of items b,d and f is; bdf, bfd, dbf, dfb, fdb, fbd

The permutation required can be evaluated as follows;

= 6×5×4 = 120 ways.

The List of permutations of items b,d and f is;

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Using Pythagoras theorem, we can find that the library is approximately 7.746 miles from the football field, which forms a right-angled triangle with Kristen's home and the park.

This problem is a classic example of use of Pythagoras theorem in right-angle triangle. Here, the distances of Kristen's home, the park, and the football field form a right-angle triangle, with the distance from the park to the library acting as the altitude of the triangle. To find the distance from the library to the football field, we can use the relation:

According to the problem, The library is 2 miles from her home (Base), The football field is 8 miles from the library (Hypotenuse). So the distance from the library to the football field can be calculated as:

So, the library is approximately 7.746 miles from the football field.

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Let

x--------> the number

we know that

1) the phrase, "the sum of 14 and a number"

represent the expression --------> [tex](14+x)[/tex]

and

2) the complete phrase, "one fifth the sum of 14 and a number"

represent the expression --------> [tex]\frac{1}{5}(14+x)[/tex]

therefore

the answer is

[tex]\frac{1}{5}(14+x)[/tex]

Final answer:

To find out the amount of silk remaining, we need to subtract the amount of silk used to make the kite from the total amount of silk Alex had before purchasing the packages. After performing the calculations, we find that Alex doesn't have any silk remaining.

Explanation:

To find out how much silk remains, we need to subtract the amount of silk used to make the kite from the total amount of silk Alex had before purchasing the packages. Let's first simplify the expressions:

Total silk Alex had = 3x + 1

Total silk purchased = (x^2 + 5x + 4) × (2x + 1)

Silk used for kite = 2x^3 + 8x^2 + 10x + 4

Now, substitute the given values of x:

Total silk Alex had = 3(1500) + 1 = 4501 yards

Total silk purchased = (1500^2 + 5*1500 + 4) * (2*1500 + 1) = 22537500 yards

Silk used for kite = 2(1500^3) + 8(1500^2) + 10(1500) + 4 = 53910002004 yards

Finally, subtract the silk used for the kite from the total silk Alex had:

Silk remaining = Total silk Alex had - Silk used for kite = 4501 - 53910002004 = -53910001403 yards

Since the result is negative, it means that Alex doesn't have any silk remaining.

Answer:

The answer is the second one for sure y=5/6x−3.

Step-by-step explanation:

The equation of the line is y = (5/6)x - 3 which is the correct answer would be option (B).

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

We have been given a line that has a slope of 5/6 and a y-intercept is -3.

Let the required line of the equation would be as

y = mx + c

Where m is the slope of the line

We have given the y-intercept is -3 which means the x-coordinates will be zero.

Substitute the value of x = 0 and y = -3 in the above equation to get c.

⇒ -3 = m(0) + c

⇒ -3 = c

The slope of the line m = 5/6 which is given in the question,

Substitute the value of m = 5/6 and c = -3 in the equation y = mx + c

⇒ y = (5/6)x - 3

Therefore, the equation of the line is y = (5/6)x - 3.

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Using π ≈ 3.14, the radius of a circle with circumference 28.3 m is approximately 4.5 meters.

Step 1:

Write down the formula for the circumference of a circle.

The formula for the circumference (C) of a circle is given by:

[tex]\[ C = 2 \pi r \][/tex]

Step 2:

Substitute the given value for the circumference into the formula.

Given [tex]\(C = 28.3\)[/tex] m, we use the approximation [tex]\(\pi \approx 3.14\)[/tex]:

[tex]\[ 28.3 = 2 \times 3.14 \times r \][/tex]

Step 3:

Solve for the radius (r).

Divide both sides of the equation by [tex]\(2 \times 3.14\)[/tex]:

[tex]\[ r = \frac{28.3}{2 \times 3.14} \][/tex]

Step 4:

Calculate the value of (r).

[tex]\[ r = \frac{28.3}{6.28} \][/tex]

[tex]\[ r \approx 4.5 \text{ m} \][/tex]

So, the radius of the circle with a circumference of 28.3 m, using the approximation [tex]\(\pi \approx 3.14\)[/tex], is approximately 4.5 meters.

A = 180-110 = 70

 angle A is 70 degrees

There are 11.3 feet far above the ground does the ladder touch the wall.

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

The bottom of a ladder must be placed 4 feet from a wall. the ladder is 12 feet long.

Now, Let the length of the ladder above the ground does the ladder touch the wall = x

Hence, We get;

x² = 12² - 4²

x² = 144 - 16

x² = 128

x = √128

x = 11.3 feet

Thus, the length of the ladder above the ground does the ladder touch the wall = 1.3 feet

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To make this anion into a complete acid, then this must be added with Hydrogen ion H+. So the chemical equation looks like:

H+  +  SO3(2-)  -->  ?

Now to balance it:

H+  +  SO3(2-)  -->  H2SO3

Answer:

H2SO3

Answer:

H2SO3-

Step-by-step explanation:

Answer: The answer is the number of hours of daylight each day.

Step-by-step explanation:  We are to give the best  example of a natural phenomenon of periodic behavior.

A periodic behavior means the behavior which repeats itself in equal intervals of time or periods. Since we are talking about a natural phenomenon, so the rotation of earth around the sun can be an example.

In other words, we can say the number of hours of daylight each day will be the proper example, because the sun gives light for almost same number of hours each day.

Thus, the natural phenomenon is the number of hours of daylight each day.

The rational number that equals to 2.8 (a decimal number that has repeating 8), from the options given, is twenty six over nine (26/9) because when converted to decimal it gives 2.89, which is closest to 2.8

The question is asking which rational number is equal to 2.8 where the bar over the number indicates that it is repeating. The dot over the 8 implies that the number is actually 2.8888..., where the 8 is repeated indefinitely. So we need to find which fraction out of your given options: twenty two over nine, twenty four over nine, twenty six over nine, twenty eight over nine, equals to this decimal number.

To convert these fractions to decimal form:

22/9 = 2.44,
24/9 = 2.67,
26/9 = 2.89,
28/9 = 3.11

By comparing these values, we can see that twenty six over nine (26/9) is the decimal equivalent to 2.8 as it gives us 2.89 which is closest to it.

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Answer: 2x-3=x+2

. -x -x

1x -3=2

+3 +3

1x=5

1x divide by 1x, 5 divide by 1x

Which will be:

X=5

Given that the rise and run of a ladder are 19 feet and 11 feet respectively:

a. Slope of the ladder = 19/11 = 1.7

b. Slope = inclination of the ladder

c. The slope will be steeper and difficult to climb if the ladder was set closer to the wall of the building.

Recall:

a. run = 11 feet

rise = 19 feet

Slope of the ladder = [tex]\frac{rise}{run} = \frac{19}{11}[/tex] = 1.7

b. The slope of the ladder refers to the inclination of the ladder to the wall.

c. If the ladder was set close to the wall of the building, the more steeper the slope would be. This would make it difficult to climb compared to a gentle slope.

In summary, given that the rise and run of a ladder are 19 feet and 11 feet respectively:

a. Slope of the ladder = 19/11 = 1.7

b. Slope = inclination of the ladder

c. The slope will be steeper and difficult to climb if the ladder was set closer to the wall of the building.

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Answer:

Step-by-step explanation:

Yes because their are no outlier