The coordinates below represent a triangle that was dilated.
J(-3, -12) ► J'(-2,-8)
K(-6, -15) → K'(-4,-10)
LC-9, -12) → L'(-6,-8)
What was the scale factor that was used in the
dilation?

Answer:

17.7 degree

Step-by-step explanation:

We can begin by drawing a diagram:

```

C

/|

/ |

/α | 10.5 mi```

A------β------B

\ /

\ /

\/

8.8 mi

```

We can label angles β and α as shown, where β represents the angle from point C to point B and α```

A ------- 9.2 mi -------- B

```

Let's label some angles in the diagram:

- Angle A: the angle between the line from A to C and the line from A to B

- Angle B: the angle between the line from C to A and the line from C to B

- Angle α: the angle at the buoy C

We want to find the measure of angle α. To do that, we can use the law of cosines to find the length of the side opposite angle α:

```

c^2 = a^2 + b^2 - 2ab cos(C)

```

where a = 8.8, b = 10.5, and C = angle B. We can solve for cos(C):

```

cos(C) = (a^2 + b^2 - c^2) / 2ab

```

Since we know a, b, and c (8.8, 10.5, and 9.2 respectively), we can calculate cos(C):

```

cos(C) = (8.8^2 + 10.5^2 - 9.2^2) / (2 * 8.8 * 10.5) ≈ 0.701

```

Now we can find angle B using the inverse cosine function:

```

B = cos^-1(cos(C)) ≈ 45.4°

```

Finally, we can find angle α by subtracting angle A from angle B:

```

α = B - A ≈ 17.7°

```

So the measure of the turn that the ship has to make at the buoy is approximately 17.7 degrees.

Answer:

Divide both sides by 9.

Step-by-step explanation:

To find the second step of the equation, we actually have to solve parts of the equation until we get to step 2.

Step 1: Add 23 to both sides.

Step 2: Divide both sides by 9.

Therefore, the second step is divide both sides by 9.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

With regard to promoting standards of excellence, Lafasto and Larson (2001) identified three Rs that help improve performance:

The LaFasto and Larson Model investigated team effectiveness. It is founded on the premise that, while individuals might be highly competent and talented, teams solve the most challenging issues.

It doesn't matter how skilled an individual is if they can't operate as part of a team.

They studied the traits of 75 highly successful teams. They discovered that high standards of excellence were a critical component in team performance.

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Answer:

a) 104 F=30 C

b) 41 F=5 C

c) 131 F=55

d) 95 F= 35 C

Step-by-step explanation:

Answer:

290/s

Step-by-step explanation:

Basically, the question is asking you to find:

290/s miles per hour

The only problem is translating words to math.

Hope this helps!

Answer:

0.0265

Step-by-step explanation:

Answer: lol yes sucks

Step-by-step explanation:

Answer:

\( \sqrt[3]{ {x}^{5} } = {x}^{ \frac{5}{3} } \)

is the right answer.

Answer:

the answer will be 4/36

Answer:

Third option is the correct answer

Step-by-step explanation:

\( \angle XYW\cong \angle ZYW\)

Answer:

Step-by-step explanation:

Angle XYW is congruent to angle ZYW

Answer:

5,535

Step-by-step explanation:

Answer:

I THNK MAY BE 28 by putting value of x and finding value of y.

Step-by-step explanation:

4x-12=2x+8

or,4X-2x=12+8

or,2x=20

or,x=20/2

therefore, x=10

then do, 4x-12+7y+12=180 the answer which comes is your required ans . it may be 28

The solution is Option A.

The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

Let the coordinate of the triangle be represented as A

Now , the coordinate A = A ( -4 , 1 )

Now , the coordinate of the triangle after translation is A' ( 0 , -3 )

when there is a translation of the coordinate A by 4 units to the right , we get

A to 4 units right = A ( -4 + 4 , 1 )

The new coordinate of A = A ( 0 ,  1 )

Now , A to 4 units down , we get

The coordinate of A' = A' ( 0 , 1 - 4 )

The coordinate of A' = A' ( 0 , -3 )

Hence , the translated coordinate is A' ( 0 , -3 )

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Answer:

product is right

Step-by-step explanation:

Answer:

$48

Step-by-step explanation:

Remember, each t-shirt is being sold for $8 each. Thus, 5 t-shirts equal $40(8x5=40). You use the rule: "add 8" to find the cost of 6 t-shirts, in which you add $40+$8= $48. $48 is your answer. Hope this helps and if you could, make me brainliest. Thank you!!

The Function  f(g(x)) = g(f(x)) = x + 8.

The functions are: f(x) = x + 4 and g(x) = x + 4. We can find f(g(x)) by substituting g(x) in place of x in f(x).

f(g(x)) = f(x + 4) = (x + 4) + 4 = x + 8

Similarly, we can find g(f(x)) by substituting f(x) in place of x in g(x).g(f(x)) = g(x + 4) = (x + 4) + 4 = x + 8

Thus, we can see that f(g(x)) and g(f(x)) are equal to each other,

which is x + 8.

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To answer this question we will use the following formula for the vector dot product:

Substituting the given information we get:

Simplifying the above result we get:

Answer:

The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²

We will use the following points to find the area of the sector;

First of all, the angle that is formed in a full rotation is 2π.

The area of a circle is given by the formula; A = πr²

The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π

Thus, the area of a sector is given by the formula;

A = (θ/2π) * πr²

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From the circle given, it can be observed that AC is the diameter of the circle and it divides the circle into two equal parts. The total angle in a semi-circle is 180°. It then follows that

Hence, arcAD = 90°, arc BD = 142°, and arc BAC = 232°

Answer:

27x^6y^9

Step-by-step explanation:

(3x^2y^3)^3 = 3^3 * (x^2)^3 * (y^3)^3 =

= 27x^6y^9

The result of the respective questions are:

a)

This chi-square test only takes into consideration one variable.

b)

The  type of chi-square test this is, is a Goodness of Fit

To test the hypothesis, we must determine whether the actual data conform to the assumed distribution.

The "Goodness-of-Fit" test is a statistical hypothesis test that determines how well the data that was seen resembles the data that was predicted.

c)

Parameter

n = 4

Therefore

Degrees of freedom

df= n - 1

df= 4 - 1

df= 3

d)

In conclusion

Parameters

\(\alpha = 0.05\)

df = 3

Hence

Critical value = 7.814728

Test statistic = 6.6

Test statistic < Critical value, .

NO, the result of this test is not statistically significant.

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Answer:

6.8333333333 or 41/6

Step-by-step explanation:

Answer:

x = 10.47

Step-by-step explanation:

circumference = 2 * 10 * π = 20π

centre angle of a circle (in radiant) = 2π

x : 20π = π/3 : 2π

x = (20π * π/3)/ 2π

x = 10 * π/3

x = 10π/3

x = 10.466667

x = 10.47

Answer:

\(\large{\boxed{\sf g(x) = \dfrac{1}{2} |x - 4| +7}}\)

Explanation:

Absolute value of a graph formula:

Identify the vertex : (h, k) = (4, 7)

Take two points: (4, 7), (6, 8)

\(\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \dfrac{8-7}{6-4} \ = \dfrac{1}{2}\)

Putting them together :  \(\bf g(x) = \dfrac{1}{2} |x - 4| +7\)

Answer:

\(g(x)=\dfrac{1}{2}|x-4|+7\)

Step-by-step explanation:

Translations

For \(a > 0\)

\(f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}\)

\(f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}\)

\(y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a\)

-----------------------------------------------------------------------------------------

Parent function:  \(f(x)=|x|\)

(with vertex at the origin)

From inspection of the graph, the vertex of the transformed function is at (4, 7).  Therefore, there has been a translation of:

\(\implies f(x-4)+7=|x-4|+7\)

From inspection of the graph, we can see that it has been stretched parallel to the y-axis:

\(\implies a\:f(x-4)+7=a|x-4|+7\)

The line goes through point (0, 9)

Substituting this point into the above equation to find \(a\):

\(\implies a|0-4|+7=9\)

\(\implies 4a=2\)

\(\implies a= \dfrac{1}{2}\)

Therefore,

\(\implies g(x)=\dfrac{1}{2}|x-4|+7\)

Answer:

7%

Step-by-step explanation:

25.9÷370=0.07×100=7%

Answer:

yes

Step-by-step explanation:

RASENGANNNNNNNNNNNN

Answer:

simplified

4+x

Step-by-step explanation:

3+(x+1)

actually is only 3+x+1

3+x+1

simplified

4+x

The number 8.26 10^0 is shown in scientific notation.

Its standrad form is: 8.26 since we know that any base different from zero raised to the power "0" (zero) gives "1" (one).