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d1i1m1o1n [39]
3 years ago
13

Nick will move a storage bin from its current location to the new location shown on the coordinate plane. Describe how Nick coul

d do this, using transformations.
Mathematics
1 answer:
nlexa [21]3 years ago
6 0

Answer:

Move downward by 7 units

Move leftward by 6 units

(x,y) \to (x -6,y-7)

Step-by-step explanation:

Given

See attachment for grid

Required

The transformation from the current location to the new location

To do this, we pick two corresponding points on the current location and the new location.

We have:

A = (3,2) -- Current location

A' = (-6,-5) -- New location

First, move A downwards by 7 units.

The rule to this is:

(x,y) \to (x,y-7)

So, we have:

(3,2) \to (3,2-7)

(3,2) \to (3,-5)

Next, move the above points leftward by 6 units.

The rule to this is:

(x,y) \to (x-6,y)

So, we have:

(3,-5) \to (3-6,-5)

(3,-5) \to (-3,-5)

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Select the equivalent expression.
Free_Kalibri [48]

Answer:

\frac{7^{15}}{3^{30}}

Step-by-step explanation:

The given expression is:

(\frac{3^{-6}}{7^{-3}})^{5}

Moving the expression to the other side in the fraction changes its sign to opposite. A numerator with negative exponent, when written in denominator will have the positive exponent. Using this rule, we can write:

(\frac{3^{-6}}{7^{-3}})^{5}\\\\ = (\frac{7^{3}}{3^{6}} )^{5}

The exponent 5 can be distributed to both numerator and denominator as shown:

(\frac{7^{3}}{3^{6}} )^{5}\\\\ = \frac{(7^{3})^{5}}{(3^{6})^{5}}

The power of a power can be written as a product. i.e.

\frac{(7^{3})^{5}}{(3^{6})^{5}}\\\\ =\frac{7^{15}}{3^{30}}

So, the expression similar to the given expression and with positive exponents is: \frac{7^{15}}{3^{30}}

6 0
3 years ago
Read 2 more answers
Write an equation to represent the problem. Then solve the equation. Two years of local Internet service costs $685, including t
iren2701 [21]

Answer:

(Total - Fee) / Months = $Price per Month

(685 - 85) / 24 = 25

Step-by-step explanation:

4 0
3 years ago
An indirect proof assumes:
valkas [14]

Answer: 1. the negative of the conclusion is true

5 0
3 years ago
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Can someone help me ASAP!!!
Dmitry_Shevchenko [17]

Answer:

3x+y=2

Step-by-step explanation:

Just remember that standard form is expressed as Ax+By=C. I also attached a picture to prove that 3x+y=2 is the standard form equation that makes up the line.

Hope this helps and answers your question :)

8 0
2 years ago
The ratio of enlisted men to officers in a division is 25 to 1.
9966 [12]
The answer is 40.

1000/25 will give you the new ratio

Simple way of thinking about it

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Cross multiply (25 by X officer and the 1 officer by the 1000)

25x = 1000

X= 40.
7 0
2 years ago
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