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Leviafan [203]
3 years ago
6

Find the inverse f(x)=x-11

Mathematics
2 answers:
KatRina [158]3 years ago
8 0

Answer:

f^-^1(x) = x+11

Step-by-step explanation:

- Write as an equation.

y = x - 11

- Interchange the variables.

x = y - 11

- Solve for  y

y = x + 11

- Replace the  y  with f^-^1(x) to show the final answer.

f^-^1(x) = x+11

<em />

<em>hope this helps :)</em>

Vitek1552 [10]3 years ago
5 0

Answer:

f(x)=x+1/11

Step-by-step explanation:

These two lines would be perpendicular.

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Answer:

Albany

Step-by-step explanation:

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2 years ago
Read 2 more answers
Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and sin ∠X = 5 over 5 and 59 hundredths.
Vikentia [17]

The relationship between Traingle XYZ and ACB is that they are similar triangles. tanX = tanA = 5 over 2 and 5 tenths, where

  • AC = 2 x  XY
  • CB = 2 x  YZ

<h3>What is the dilation about?</h3>

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB, hence XYZ and ACB are similar triangles.

Angles Y and C are said to measure 90 degrees, and angles A and X are known to be congruent. Thus:

tanX = tanA = 5 over 2 and 5 tenths

AC = 2 x  XY

CB = 2 x  YZ

Another way to solve for it is by:

Note that Dilation of the triangle ΔXYZ was by a factor of "2".

Since m∠Y = m∠C = 90º   - given

ΔXYZ and ΔACB are said to be right triangles.

Since ∠X ≅ ∠A   - given

Then ∠X and ∠Z are  said to becomplementary angles

Since m∠Z = 90° - m∠X   -- given

Then ∠A and ∠B are said to be complementary angles

Since m∠B = 90° - m∠A  --- given

Then, ∠Z ≅ ∠B

Therefore ΔXYZ ∼ ΔACB are  similar triangles because it has its corresponding sides to be proportional and its corresponding angles to be congruent.

Note:

sin ∠X = 5/5.59

sin ∠X = YZ/XY

YZ = 5  seen in ΔXYZ

XZ = 5.59 seen in hypotenuse of ΔXYZ

Then one need to Calculate the length of one aspect of XY:

XY = √((5.59)2 - 52)

= 2.4996

Note CB/YZ = 2

CD = 2*YZ = 2 x 5

= 10

AC/XY = 2

AC = 2* XY

= 2 x 2.4996

= 4.999

Learn more about dilation from:

brainly.com/question/27517432

#SPJ1

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2 years ago
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3 years ago
Mikey had 104 nickels and 88 dimes she wants to divide the coins into group of each group will have the same number of nickels i
coldgirl [10]

Answer:

8

Step-by-step explanation:

8 can go into 88 and it can also go into 104 too and 8 is the largest number so the answer is 8

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2 years ago
In ΔUVW, w = 3 inches, ∠W=23° and ∠U=73°. Find the length of u, to the nearest 10th of an inch.
kirza4 [7]

Answer:

<h2>7.4inches</h2>

Step-by-step explanation:

Check the attachment for the diagram. Sine rule will be used to get the unknown side of the triangle.

According to the rule;

\frac{u}{sinU} =  \frac{v}{sinV} = \frac{w}{sinW}\\\frac{u}{sinU} = \frac{w}{sinW}

Given w = 3 in, ∠W=23° and ∠U=73°, on substituting into the equation above to get u we have;

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The length of u is 7.4inches to nearest 10th of an inch

6 0
3 years ago
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