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Mamont248 [21]
3 years ago
8

A triangle on a coordinate plane is translated according to the rule T-3,5(x, y). Which is another way to write this rule?

Mathematics
1 answer:
Tresset [83]3 years ago
5 0
<h3>Answer: Choice A. (x,y) \to (x-3, y+5)</h3>

Explanation:

The notation T_{-3,5}(x,y)  or means to move any point (x,y) along the vector <-3,5>. Put another way, it says to shift (x,y) three units to the left and five units up. The x portion deals with left or right shifting, the y portion deals with up or down shifting. Since the x portion is negative, we go in the negative direction on the x axis. Y being positive means we move up rather than down.

This all means we end up with the translation rule (x,y) \to (x-3,y+5)

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2 years ago
The degree of the expression 4x^5y^m is 10 what is the value of m
Gala2k [10]

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4 0
1 year ago
Please help with both questions, thank you!
algol [13]

11) 3 (2x + 7) - 4 = 53 - 3x is the given

Then, we use distributive property and get:

6x + 21 - 4 = 53 - 3x

Next, we combine like terms

6x + 17 = 53 - 3x

Then, we use the addition property of equality to add 3x to both sides.

9x + 17 = 53

We then use the subtraction property of equality to subtract 17 from both sides.

9x = 36

Finally, we use the division property of equality to divide 36 by 9, which isolates x.

x = 4

So, (In order) you have the: Given, Distributive Property, Combine Like Terms, Addition Property of Equality, Subtraction Property of Equality, and Division Property of Equality.

12) Please Note: This is an inequality problem. Which means we do not use the properties of equality. We'd use the properties of order. Properties of order are specific to inequalities, as the properties of equality are specific to the equations. They do not cross. As for your paper, I'm not sure why it says to use the properties of equality. I will be using the properties of order.

-7 (3 + 8x) + 5x ≤ 1 - 62x is the given

-21 - 56x + 5x ≤ 1 - 62x is distributive property

We then combine like terms

-21 - 51x ≤ 1 - 62x

Next, we use subtraction property of order to subtract 1 from each side.

-22 - 51x ≤ -62x

Then, we add 51x to each siding using the addition property of order

-22 ≤ -11

Lastly, we use the division property of order to divide 11 from both sides, which then gives us:

2 ≥ x

It becomes a positive because we're dividing 2 negatives, and we also turn the sign because we're dividing by negatives.

In order: Given, Distributive Property, Combine Like Terms, Subtraction Property of Order, Addition Property of Order, and Division Property of Order.

 

5 0
2 years ago
Convert from radians to degrees -7pi/2
Elza [17]
Π=180⁰
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-7π/2= -630⁰
6 0
2 years ago
X-4x-32=0, explain the steps of answering it
zzz [600]
First step: combine the x terms, x - 4x = -3x.

Second step: Add 32 to both sides, which will cancel out the -32.

Now you have -3x = 32.

To solve for x, divide 32 by -3. The answer is -10.667.
7 0
3 years ago
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