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1 year ago

A figure was moved 5 units to the right, then a

Mathematics

1 answer:

brilliants [131]1 year ago

5 0

Answer:

Step-by-step explanation:

First a translation then a reflection.

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On James’s MP3 player, he has 12 sad songs and 40 upbeat songs that he wants to put into playlists. He wants to have the same nu

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2 years ago

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2 years ago

Find the coordinates of point X that lies along the directed line segment from Y(-8, 8) to T(-15, -13) and partitions the segmen

Nataly_w [17]

Answer:

C. (-13, -7)

Step-by-step explanation:

The location of a point O(x, y) that divides a line AB with location A $(x_1,y_1)$ and B $(x_2,y_2)$ in the ratio m:n is given by:

$x=\frac{m}{m+n} (x_2-x_1)+x_1\\\\y=\frac{m}{m+n} (y_2-y_1)+y_1$

Therefore the coordinates of point X That divides line segment from Y(-8, 8) to T(-15, -13) in the ratio 5:2 is:

$x=\frac{5}{5+2} (-15-(-8))+(-8)\\\\x=\frac{5}{7} (-15+8)-8=\frac{5}{7}(-7)-8=-5-8=-13 \\\\\\y=\frac{5}{5+2} (-13-8)+8\\\\y=\frac{5}{7} (-21)+8=5(-3)+8=-15+8=-7$

Therefore the coordinates of point X is at (-13, -7)

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2 years ago

Yuet solved the equation 6 a minus 2 b = 12 for a. Her steps are shown below. 1. Subtract 2b: 6 a = 12 minus 12 b 2. Divide by 6

Ber [7]

Question:

Yuet solved the equation $6a - 2b = 12$ for a.

Her steps are shown below.

1. Subtract 2b: $6a = 12 - 2b$

2. Divide by 6: $a = 2 - \frac{b}{3}$

Answer:

In step 1 she needed to add 2b to both sides of the equation.

Step-by-step explanation:

Given:

The above steps shows how Yuet solved an equation

Required:

True statement about Yuet's work

The implication of the statement is to state what Yuet should have done instead of what she did.

In step 1, she subtracted 2b from both sides of the equation; this is wrong.

Instead of subtracting, she ought to add 2b to both sides of the equation.

The correct steps and result is as follows:

1. Add 2b: $6a = 12 + 2b$

2. Divide by 6: $a = 2 + \frac{b}{3}$

Hence, we can conclude that in step 1 she needed to add 2b to both sides of the equation.

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2 years ago

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mixer [17]

Answer:

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Step-by-step explanation:

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2 years ago