Dilations always increase the length of line segments

True

False

Dilations increase the measure of angles.
Group of answer choices

True

False


Dilations of a triangle are similar to the original triangle.
Group of answer choices

True

False

Answer:

6ft

Step-by-step explanation:

The height is 6ft, because the 3 foot measurements are the width of the prism.

Answer:

9. is true

10. is false

hope this helps

Step-by-step explanation:

Step-by-step explanation:

9 is true and 10 is true as well

Answer: 7

Step-by-step explanation:

Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.

If the graph of f(x) = x is shifted up 9 units, the equation of the new graph would be g(x) = x + 9.

In Mathematics, the translation of a geometric figure to the left simply means subtracting a digit from the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is shifted up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.

Translating the graph of the parent function f(x) = x by shifting it nine (9) units up, we have the following equation:

f(x) = x   →  g(x) = f(x) + 9

g(x) = x + 9

In this context, we can logically deduce that the parent function f(x) was shifted by nine (9) units up to create function g(x) as shown in the graph attached below.

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The slope of the tangent line is:

a = (df(x1)/dx)

The slope of the normal one is:

a' = -1/(df(x1)/dx)

For any function y = f(x), we define the slope of the tangent line at the point x as the derivative evaluated in x.

So if we want to find the slope of the tangent line at the point (x1, y1), we just need to differentiate and evaluate in x1, then the slope will be given by:

df(x1)/dx

And the normal slope is the slope of the perpendicular line, two slopes are perpendicular if the product is -1, then:

a*(df(x1)/dx) = -1

a = -1/(df(x1)/dx)

Where df/dx reffers to the derivative of f(x).

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Answer: To factor the expression -14 - (-8) completely using the distributive law, we need to simplify it first.

Remember that when we subtract a negative number, it is equivalent to adding the positive number. Therefore, -(-8) is the same as +8.

So the expression becomes:

-14 + 8

To factor it further using the distributive law, we can rewrite the addition as multiplication by distributing the -14 to both terms:

(-14) + (8) = -14 * 1 + (-14) * 8

This can be simplified as:

-14 + 8 = -14 * 1 + (-14) * 8 = -14 + (-112)

Finally, we can add the two negative numbers to get the result:

-14 + (-112) = -126

Therefore, the expression -14 - (-8) factors completely as -126.

Answer:

\(y=\frac{3}{4}x^2\)

Step-by-step explanation:

Hi there!

Because we're given the vertex of the parabola, we can determine its equation in vertex form:

\(y=a(x-h)^2+k\) where the vertex is \((h,k)\)

Plug in the vertex (0,0)

\(y=a(x-0)^2+0\\y=a(x)^2\\y=a(x-0)^2+0\\y=ax^2\)

Now, we must solve for a. Plug in the given point (-2,3) and solve for a:

\(3=a(-2)^2\\3=4a\\\frac{3}{4} =a\)

Therefore, the value of a is \(\frac{3}{4}\). Plug this back into \(y=ax^2\):

\(y=\frac{3}{4}x^2\)

I hope this helps!

Step-by-step explanation:

use Pythagoras theorem,

\( {a}^{2} + {b}^{2} = {c}^{2} \)

\({6}^{2} + {8}^{2} = {c}^{2} \\ 36 + 64 = {c}^{2} \\ c = \sqrt{100 } \\ c = 10\)

Answer:

The length of missing side of triangle is 10 m.

Step-by-step explanation:

Here, we have given that the two sides of triangle are 6 m and 8 m.

Finding the third side of triangle by pythagorean theorem formula :

\({\longrightarrow{\pmb{\sf{{(c)}^{2} = {(a)}^{2} + {(b)}^{2}}}}}\)

Substituting all the given values in the formula to find the third side of triangle :

\(\begin{gathered} \qquad{\longrightarrow{\sf{{(c)}^{2} = {(a)}^{2} + {(b)}^{2}}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} = {(6)}^{2} + {(8)}^{2}}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} = (6 \times 6)+ (8 \times 8)}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} = (36)+ (64)}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} = 36 + 64}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} =100}}}\\\\\qquad{\longrightarrow{\sf{c = \sqrt{100}}}}\\\\\qquad{\longrightarrow{\sf{c = 10 \: m}}}\\\\\qquad\star{\underline{\boxed{\sf{\red{c = 10 \: m}}}}}\end{gathered}\)

Hence, the length of missing side of triangle is 10 m.

\(\rule{300}{2.5}\)

Answer:

x= the square root of 26 or negative of the square root of 26.

Answer:

Mike needs 17 more hours

Step-by-step explanation:

2/3 = .66666666 (it goes on)

25.50 = .6666666 = 17

Answer:

38.25 hours he will need 38.25 hours

Answer:

  11.5

Step-by-step explanation:

Coordinate values and side lengths are multiplied by the dilation scale factor. (Angle values remain unchanged.)

  W'X' = (1/4)WX

  W'X' = (1/4)(46) = 11.5

x=102°Answer:

x+78=180 supplementary angle

x=180-78=102

Answer:

from what I know it should be always negative

Step-by-step explanation:

always positive! adding two negative integers will always result in a positive sum

Answer:

z + 4 × 9

Sorry if this is wrong.

Answer:

6

Step-by-step explanation:

Fact

Answer:

x=6

Step-by-step explanation:

1.    7+2x=4x-5

2.   7+2x-2x=4x-5-2x

     7=2x-5

     12=2x

     x=12/2

     x=6

Answer:

The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580

Step-by-step explanation:

Answer:(2x+7)+(2x+7)

Step-by-step explanation:

what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer

Answer: lb=48

l(l-8)=48

l^2–8l=48

l^2–8l-48=0

l^2–12l+4l-48=0

l(l-12)+4(l-12)=0

l=12inches &

b=12–8=4inches

Step-by-step explanation:

The second step of calculating the present value of an ordinary annuity by the table lookup is to look up the periods and rates in the PV annuity table.

The present value of an ordinary annuity is the current value based on future cash inflows of the annuity, given a specified discount rate.

The present value is higher when the discount rate is lower, and vice versa.

The present value of an ordinary annuity, which discounts the annuity to the current time, is computed as Annuity Payment x Present value of the ordinary annuity table.

In conclusion, an annuity simply means a series of periodic payments and may involve payment at the beginning (annuity due) or at the end of the period (ordinary annuity).

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The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

Step-by-step explanation:

The number of boxes of pies that the Chess Club must sell to reach their goal of $150 can be represented by the variable x. We can create the following equation to represent this relationship:

1.25x + 16.25 = 150

To find the number of boxes of pies that the Chess Club must sell, we can solve this equation by subtracting 16.25 from both sides and then dividing both sides by 1.25:

1.25x = 150 - 16.25

1.25x = 133.75

x = 133.75 / 1.25

x = 107.

Therefore, the Chess Club must sell 107 more boxes of pies to reach their goal of $150.

Answer:

The mean and standard deviation of the number of questions that each student gets correct are 4 and 1.789 respectively.

Step-by-step explanation:

Let the random variable X be defined as the number of correct answers marked by a student.

It is provided that each question has 5 possible choices, 1 of the which is correct.

Then the probability of marking thee correct option is:

\(P(X)=\frac{1}{5}=0.20\)

There are a total of n = 20 questions to be answered.

As the students does not the answer to any question, they would be guessing for each question. This implies that for a random question, all the five options has the equal probability of being correct and each of the five options can be correct independently from the other.

All these information above indicates that the random variable X follows a Binomial distribution with parameters n = 20 and p = 0.20.

The mean and standard deviation of a Binomial distribution are:

\(\mu=np\\\\\sigma=\sqrt{np(1-p)}\)

Compute the mean and standard deviation of the random variable X as follows:

\(\mu=np=20\times 0.20=4\\\\\sigma=\sqrt{np(1-p)}=\sqrt{20\times 0.20\times(1-0.20)}=1.789\)

Thus, the mean and standard deviation of the number of questions that each student gets correct are 4 and 1.789 respectively.

According to the question,

The probability of making 3 correct options will be:

→ \(P(X) = \frac{1}{5}\)

            \(= 0.20\)

Total number of questions,

As we know,

The mean will be:

→ \(\mu = np\)

By substituting the values, we get

     \(= 20\times 0.20\)

     \(= 4\)

and,

The standard deviation will be:

→ \(\sigma = \sqrt{np(1-p)}\)

      \(= \sqrt{20\times 0.20\times (1-0.20)}\)

      \(= 1.789\)

Thus the responses above are correct.

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The area οf the actual bridge deck in square feet is 1,280 square feet.

Area refers tο the measurement οf the size οf a twο-dimensiοnal surface, usually measured in square units such as square inches, square feet, οr square meters. It represents the amοunt οf space that is inside the bοundary οf a flat οbject οr shape.

The scale οf the drawing is 40:1, which means that the dimensiοns οf the scaled bridge deck are 40 times smaller than the actual bridge deck. Tο find the area οf the actual bridge deck in square feet, we need tο cοnvert the dimensiοns οf the scaled bridge deck frοm inches tο feet and then multiply by the square οf the scale factοr (40² = 1600).

The dimensiοns οf the scaled bridge deck in feet are:

24 inches = 2 feet

4 and 4/5 inches = 0.4 feet

Sο, the area οf the scaled bridge deck in square feet is:

2 feet x 0.4 feet = 0.8 square feet

Tο find the area οf the actual bridge deck in square feet, we need tο multiply the area οf the scaled bridge deck by the square οf the scale factοr:

Area οf actual bridge deck = 0.8 square feet x (40²) = 1280 square feet

Therefοre, the area οf the actual bridge deck in square feet is 1,280 square feet.

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Answer:

Step-by-step explanation:

The scale factor indicates the actual bridge is 40 times larger than the drawing.

Increase the scale dimensions by the factor of 40.

24 times 40 = 960"

4.8 times 40 = 192" (I changed 4 4/5 to 4.8)

Area = length times width

960 times 192 = 184320 sq inches actual bridge deck in square inches

Divide 183320 by 144 (sq inches in a square foot) = 1280 sq feet

Answer:

Read below.

Step-by-step explanation:

Wrong:

(2.5 x 10^9) + (5.3 x 10^8) =

(2.5 + 5.3) x (10^9 x 10^8) =

7.8 x 10^7=

7.8 x 10,000,000=

780,000,000

Bold is edited by me

Correct:

(2.5 x 10^9) + (5.3 x 10^8)=

(2.5 x 1,000,000,000)+(5.3 x 100,000,000)=

2,500,000,000+5,300,000,000=

7,800,000,000

The problem is that whoever wrote it swapped the numbers in the parentheses, added a pair of them together and multiplied the other pair. You are not supposed to take out the pairs and swap them if you'd like or the answer is incorrect. Second mistake is that \(10^{9} * 10^{8}\) is not \(10^{7}\) I do not know how and where you got that answer from.

To subtract 47.96 from 320.041, you can align the decimal points and then subtract each digit from right to left.

First, write the numbers with the decimal points aligned:

320.041

- 47.960

Next, subtract the digits in the ones place, which is 1 minus 0, resulting in 1. Then, subtract the digits in the tenths place, which is 4 minus 6. Since 4 is less than 6, you need to borrow 1 from the digit to the left, making the 2 into a 1 and adding 10 to the 4, giving you 14. So, 14 minus 6 equals 8.

Continue subtracting each digit in the same way:

   320.041

-   47.960

= 272.081

Therefore, 320.041 minus 47.96 is equal to 272.081.

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Answer:

The correct answer is the last one: 8 x 16 = ?

Step-by-step explanation:

hope this helps. pls mark this as brainiest if im correct! Thx have a great day... :)

The domain of the function f(x) that has a range of [-2, ∞) is [-2, ∞)

The inverse of a function that maps x into y, maps y into x.

The given coordinates of the points on the radical function, f(x) are; (-3, -2), (1, 0), (6, 1)

To determine the domain of

\( {f}^{ - 1}( x)\)

The graph of the inverse of a function is given by the reflection of the graph of the function across the line y = x

The reflection of the point (x, y) across the line y = x, gives the point (y, x)

The points on the graph of the inverse of the function, f(x), \( {f}^{ - 1} (x)\) are therefore;

\(( - 3, \: - 2) \: \underrightarrow{R_{(y=x)}} \: ( - 2, \: - 3)\)

\(( 1, \: 0) \: \underrightarrow{R_{(y=x)}} \: ( 0, \: 1)\)

( 6, \: 1) \: \underrightarrow{R_{(y=x)}} \: ( 1, \: 6)

The coordinates of the points on the graph of the inverse of the function, f(x) are; (-2, -3), (1, 0), (1, 6)

Given that the coordinate of point (x, y) on the image of the inverse function is (y, x), and that the graph of the function, f(x) starts at the point (-3, -2) and is increasing to infinity, (∞, ∞), such that the range of y–values is [-2, ∞) the inverse function, \( {f}^{ - 1}( x)\), which starts at the point (-2, -3) continues to infinity, has a domain that is the same as the range of f(x), which gives;

The domain of the inverse of the function, \( {f}^{ - 1}( x)\), using interval notation is; [-2, ∞)

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