Walking briskly consumes 250 calories in 1 hour. How long would you have to walk briskly to lose 3 pounds?

The image of the assumed point Q(2, 3)) under the translation is Q'(-1, 7).

What is Translation?

Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.

Translation of a point (x, y) indicates that the point is moved x units along the X axis and y units along the Y axis,

Here we have to translate the point Q(2, 3).

Point (x, y) is translated as (x - 3, y + 4).

That is the point (x, y) moves 3 units to the left along the X axis and 4 units upwards along the Y axis.

Q(2, 3) after the translation becomes,

Q'(2 - 3, 3 + 4) = Q'(-1, 7)

Hence the point Q(2, 3) under the translation (x - 3, y + 4) is the point Q'(-1, 7).

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The image of point Q under the translation (x, y) -> (x - 3, y + 4) is Q'(-8, 8)

Given data:

A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.

The point is represented as Q ( -5 , 4 ).

To find the image of point Q(-5, 4) under the translation (x, y) + (x - 3, y + 4), we simply apply the translation vector (x - 3, y + 4) to the coordinates of point Q.

New x-coordinate = x - 3 = -5 - 3 = -8

New y-coordinate = y + 4 = 4 + 4 = 8

Hence, the image of point Q(-5, 4) under the given translation is Q'(-8, 8).

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The complete question is attached below:

Plot the image of point Q ( -5 , 4 ) under the translation (x, y) + (x - 3, y + 4).​

Final answer:

The solution to the inequality 'Twice the sum of 4 and x is less than -16' is x < -12.

Explanation:

The given question is asking to solve the inequality 'Twice the sum of 4 and x is less than -16'. Let's break it down step by step:

1. Twice the sum of 4 and x can be written as 2(4 + x).
2. Now, we need to express this expression as less than -16, which gives us the following inequality: 2(4 + x) < -16.
3. We can simplify the inequality by first multiplying 2 with 4 + x to get 8 + 2x, and then we have 8 + 2x < -16.
4. To isolate the variable x, we subtract 8 from both sides: 2x < -16 - 8, which gives 2x < -24.
5. Finally, we divide both sides of the inequality by 2 to get x < -12.

Therefore, the solution to the inequality is x < -12.

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Finishing the answer above:

B=36

a=38

c=18

b=25.7

a-b-c (SSS) {a^2=b^2+c^2-2ab(CosA) [Law of Cosines]

38^2=25.7^2+18^2-2(25.7)(18)(CosA)

1444=660.49+324-925.2(CosA)

1444=984.49-935.2(CosA)

459.51=-935.2(CosA)

-0.491349443969204=CosA

A=119.43

b-B-C (SAA) {(SinC)/c=(SinB/b)} [Law of Sines]

(SinC)/18=(Sin36)/25.7

(SinC)/18=0.022871021489979

SinC=0.411678386819631

C=24.31

A=119.43

B=36

C=24.31

a=38

b=25.7

c=18

Answer:

x+6=±5

Step-by-step explanation:

Final answer:

Carly's mistake occurred in Step 2. She incorrectly divided both sides of the equation by 7 instead of subtracting 2 from both sides.

Explanation:

Carly's mistake occurred in Step 2. In this step, she incorrectly divided both sides of the equation by 7 instead of subtracting 2 from both sides. Let's correct her mistake:

-4(7j+2) = 10
7j+2 = -40
7j = -42
j = -6

Instead of dividing both sides by 7, Carly should have subtracted 2 from both sides:

7j + 2 - 2 = -40 - 2
7j = -42
j = -6

Therefore, Carly should have subtracted 2 from both sides in Step 2 instead of dividing by 7.