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VashaNatasha [74]
3 years ago
13

Please solve this equations and include the workings

Mathematics
2 answers:
laiz [17]3 years ago
7 0

Answer:

Step-by-step explanation:

6^x/6 = x

(6^2)^y = 36^y

so, x= 2y

faust18 [17]3 years ago
3 0

Answer:

2³ x 2⁴ = 128

6³/6 = 36¹

Step-by-step explanation:

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40 POINTS!!!! Which sequence of transformations will result in an image that maps onto itself?
White raven [17]

Answer:

Option C.

Step-by-step explanation:

Let a point (x, y) has a sequence of transformations,

Option A).

Reflects across x-axis then the coordinates will be,

(x, y) → (x, -y)

Then reflects across the y-axis,

(x, -y) → (-x, -y)

Image (x, y) gets changed to (-x, -y) therefore, point (x, y) doesn't map onto itself.

Option B).

(x, y) rotate 90° counter clockwise about the origin.

(x, y) → (-y, x)

Then reflect across x-axis,

(-y, x) → (y, x)

Since coordinates of the image and the actual are not same therefore, image doesn't map itself.

Option C).

(x, y) when reflected across x-axis,

(x, y) → (x, -y)

Then reflected over the x-axis,

(x, -y) → (x, y)

In this option point (x, y) maps onto itself after these transformations.

Option D).

(x, y) rotated 90°counterclockwise about the origin

(x, y) → (-y, x)

Then translated up by 2 units.

(-y, x) → (-y, x+2)

Therefore, (x, y) gets changed after these transformations and doesn't maps itself.

Option (C) will be the answer.

7 0
3 years ago
Michael makes 60% of his free-throw attempts. If Michael attempts two free-throws,
nikklg [1K]
<h3>Answer:  12/25</h3>

====================================================

Reason:

60% = 60/100 = 0.6 is the probability of making any given free-throw.

1 - 0.6 = 0.4 is the probability of missing any given free-throw.

We have these probabilities

  • A = P(making 1st, missing 2nd) = 0.6*0.4 = 0.24
  • B = P(missing 1st, making 2nd) = 0.4*0.6 = 0.24

The probability of making exactly one free throw is A+B = 0.24+0.24 = 0.48

Convert this to a fraction:

0.48 = 48/100 = (4*12)/(4*25) = 12/25

5 0
2 years ago
Solve the system of equations and choose the correct answer from the list of options.
Igoryamba

Answer:

x = -6/5

y = -8/5

Step-by-step explanation:

2x + y = -4

Y = 3x + 2

Substitute the second equation into the first equation

2x + 3x+2 = -4

Combine like terms

5x +2 = -4

Subtract 2 from each side

5x+2-2=-4-2

5x = -6

Divide by 5

5x/5 = -6/5

x = -6/5

Now we need to find y

y = 3x+2

y = 3(-6/5)+2

y = -18/5 + 10/5

y = -8/5

5 0
3 years ago
How to order -14.4, -14, -14 1/5 from least to greatest
ElenaW [278]
Think of  thermometer the negative degrees are the coldest so are the lowest on the vertical column

first convert -14 1/5 to decimals  =  -14.2

so the order is 

-14.4 , -14 1/5 , -14.

8 0
3 years ago
Is it<br> A. 10 <br> B.-9<br> C.3 <br> D.6
elixir [45]

Answer:

  C. 3

Step-by-step explanation:

You know the angle sum is ...

  ∠FGT +∠TGH = ∠FGH

You can use this relation with the given values to find x.

 90 + (8x +4) = 39x +1

  93 = 31x . . . . . . . . . . . . . add -1-8x, collect terms

  3 = x . . . . . . . . . . . . . . . . divide by 31

8 0
3 years ago
Read 2 more answers
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