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3 years ago

Find the distance between the points (10,10) and (10,5)

Mathematics

1 answer:

yarga [219]3 years ago

5 0

Answer:

Step-by-step explanation:

The x coordiantes are the same so

the distance is the difference in the y coordinates

10 - 5 = 5

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The pre-image is

yKpoI14uk [10]

It is the last one.

A pre-image is the original before another shape is created from it, either dilated, translated, reflected, or rotated.

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2 years ago

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(1/27)^x-6=27 Could I please have a step by step as well? Much appreciated!

Andrei [34K]

Answer:

$x = 7$

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

$\frac{1}{ {27}^{x - 8} } = 27$

2) Multiply both sides by 27^x - 8.

$1 = {27} \times 27^{1 + x - 8}$

3) Use the product rule: x^a x^b = x^a+b.

$1 = {27}^{1 + x - 8}$

4) Simplify 1 + x - 8 to x - 7.

$1 = {27}^{x - 7}$

5) Use Definition of Common Logarithm: b^a = x if and only if logb (x) = a.

$log_{27}1 = x - 7$

6) Use Change of Base Rule.

$\frac{ log_1 }{ log{27} } = x - 7$

7) Use rule of 1: log 1 = 0.

$\frac{0}{ log_{27}} = x - 7$

8) Simplify 0/log_27 to 0.

$0 = x - 7$

9) Add 7 to both sides.

$7 = x$

10) Switch sides.

$x = 7$

Therefor, the answer is x = 7.

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3 years ago

Add. 56+234 Enter the sum in the box as a mixed number in the simplest form.

Kobotan [32]

Answer:

290

Step-by-step explanation:

First, add two digit number from them.

50 + 30 = 80

Second, add the last two numbers.

6 + 4 = 10

So, add these two results.

80 + 10 = 90

Final, all of theses results are added to three digit number of second number.

So, final result is

200 + 90 = 290

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3 years ago

Hurry pls!!! PLS ANSWER THE ATTACHMENT BELOW!!!

seraphim [82]

Answer:

Step-by-step explanation:

You just have to replace the value of n with 4.

C(n) = 46 + 3n

C(4) = 46 + 3(4)

= 46 + 12

= 58

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3 years ago

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A number x increased by 17 is 106

Lorico [155]

Answer:

x = 89

Step-by-step explanation:

106 - 17 = 89

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3 years ago