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Paul [167]
3 years ago
5

Translate this phrase into an algebraic expression. The sum of 15 and twice Vidya's age Use the variable v to represent Vidya's

age.
Mathematics
2 answers:
Galina-37 [17]3 years ago
6 0

The way to write this would be:

2v+15

Pie3 years ago
6 0

<u>Answer:</u>

15 + 2V

<u>Step-by-step explanation:</u>

We are given the following phrase and we are to convert it into an algebraic expression:

<em>The sum of 15 and twice Vidya's age</em>

We will break down the given phrase into smaller parts to make it easier to translate into algebraic expression, assuming V as Vidya's age.

The sum of 15 ---> + 15

and twice Vidya's age ---> 2V

Combining these two to get:

15 + 2V

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True or False
kifflom [539]

Answer:

  1. true
  2. true
  3. false
  4. false

Step-by-step explanation:

One characteristic of a reflection that is useful for answering this question is that it always reverses the clockwise/counterclockwise orientation of a figure. Rotation and translation have no effect on that orientation.

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1. translation by reflection

Reflection across two parallel lines has the net effect of translating a figure twice the distance between the parallel lines. So, one way to effect a translation using two lines of reflection is to draw one of them through the perpendicular bisector of a point and its translated image. Then the other line would be drawn parallel to the first through the image point.

True: translation can be replaced by two reflections

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2. translation by rotation

A single point can be moved from one set of coordinates to another by rotating around any point on the perpendicular bisector of the original and its image. To "undo" the change in direction of other points in the image, the image can be rotated an equal angle in the reverse direction about the point that is in its proper place.

That is, if we rotate figure ABC an amount of X° about a point on the perpendicular bisector of AA', so that A ends up at A', then the translation can be finished by rotating that figure by -X° about point A'.

The simplest case is an initial rotation of 180° about the midpoint of AA', followed by another rotation of 180° about A'.

True: translation can be replaced by two rotations

__

3. rotation by reflection

As discussed above, reflection changes orientation and rotation does not.

However, a rotation can be replaced by <em>two</em> reflections. The rotation angle is equal to twice the angle between the lines of reflection. The point where the lines of reflection meet is the center of rotation.

False: rotation can be replaced by reflection

__

4. reflection by rotation and translation

As discussed above, reflection changes orientation, but rotation and translation do not.

False: reflection can be replaced by rotation and translation

6 0
3 years ago
What is 3x5 plus 67 minus 28
tamaranim1 [39]

Answer:

54

Step-by-step explanation:

6 0
3 years ago
Please help im so confused??
Ann [662]
V = PI x r^2 x h/3

3.14 x 7^2 x 24/3

49 x 8 = 392

answer is 392PI units^3

answer is B
5 0
3 years ago
What is the volume of a right circular cylinder in terms of Pi if its height measure 6 inches and the radius of its base is 2 in
docker41 [41]
V=hpir^2
r=2
h=6

v=6pi2^2
v=6pi4
v=24pi in³
5 0
3 years ago
Bryce tried to solve an equation step by step. \qquad\begin{aligned} \dfrac83&amp;=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&amp;
sesenic [268]

Answer:

Bryce is wrong in step 1 because he did not distribute 3 over 5/3

Explanation

Given the steps taken by bryce as shown, we are to find where he made an error

\qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned}

Given the expression;

\dfrac83&=3\left(c+\dfrac53\right)\\\\ \\

Step 1:Expand the bracket using the distributive law;

8/3 = 3c + 3(5/3)

<em>Simplify</em>

8/3 = 3c + 15/3

Step 2: Subtract 15/3 from both sides

8/3 - 15/3 = 3c+15/3-15/3

(8-15)/3 = 3c

-7/3 = 3c

Step 3: Multiply both sides by 1/3

-7/3 * 1/3 = 3c * 1/3

-7/9 = c

Swap

c = -7/9

From the calculation, we can see that Bryce is wrong in step 1 because he did not distribute 3 over 5/3 thereby making his solution incorrect

3 0
2 years ago
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