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3 years ago

What is the inverse function of d(x) = 2x - 4?

Mathematics

1 answer:

zysi [14]3 years ago

7 0

Answer:

$d^{-1}$ (x) = $\frac{x+4}{2}$

Step-by-step explanation:

let d(x) = y and rearrange making x the subject, that is

2x - 4 = y ( add 4 to both sides )

2x = y + 4 ( divide both sides by 2 )

x = $\frac{y+4}{2}$

Change y back into terms of x, so

$d^{-1}$ (x ) = $\frac{x+4}{2}$

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A rectangular piece of land requires 157 1/2 meters of fencing. If the length is 30 m less than the width, find the dimensions.

oksano4ka [1.4K]

2L+2W=157.5
L=W-30
2(W-30)+2W=157.5
2W-60+2W=157.5
+60 +60
4w=217.5
W=54.4(.37 rounded to nearest tenth)
L=24.4

7 0

3 years ago

Help me jim! geometry homework

Maksim231197 [3]

Question 1

The angles 52 degrees match up. So if the sides are in proportion, then the triangles are similar.

Notice how 8/12 = 18/27 is a true equation. So the sides are in proportion to one another.

Therefore, the triangles are similar. I used the SAS similarity theorem.

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

Question 2

Let's find the missing angle of the triangle on the right. For now, make that missing angle to be x.

Rule: For any triangle, the three angles always add up to 180

x+70+32 = 180

x+102 = 180

x = 180-102

x = 78

The missing angle of the triangle on the left is 78 degrees

Repeat for the other triangle as well

y+78+32 = 180

y+110 = 180

y = 180-110

y = 70

Both triangles have the angles 32, 70, 78 in whatever order you wish.

Since the angles match up like this, the triangles are similar because of the AA Similarity theorem

Technically, we only need 2 pairs of congruent angles at minimum. But having 3 congruent pairs doesn't hurt either.

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

Question 3

We have a pair of congruent 54 degree angles shown. There's another pair of angles at the very top that overlap (aka shared angles).

Since we have two pairs of congruent angles, the two triangles are similar.

This time we use the AA Similarity theorem

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

Question 4

Let's divide the longest side of the bottom triangle by the longest side of the triangle on top

48/32 = 1.5

Now let's divide the shortest sides of each triangle in the same order

36/24 = 1.5

Repeat for the middle-most sides

45/30 = 1.5

We get the same linear scale factor 1.5 each time. Therefore, the triangles are similar due to the SSS Similarity theorem

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

Question 5

Any angle is equal to itself due to the reflexive property. So that will go for reason number 2.

Reason 3 is SAS similarity because we have the sides in proportion (statement 1) and the angles are congruent (statement 2).

3 0

2 years ago

You get a job making $12 per hour. You do a great job and your boss says he is going to give you a 25% raise!!! What is your new

AURORKA [14]

Answer:

Step-by-step explanation:

10% of 12 =1.2

1.2*2= 2.4 (20%)

1.2/2= 0.6 (5%)

2.4+0.6= 3

12+3= $15

3 0

3 years ago

Solve for x. Please show work.

abruzzese [7]

Answer:

x= to 5

Step-by-step explanation:

5 0

3 years ago

What is the approximate volume of a cylinder with a diameter of 12 meters and a height of 7 meters? Use 3.14 for pi.

storchak [24]

The mathematical equation for volume of a cylinder is pi times radius Squared Times height

The radius squared is 36

So 3.14 x 36 =113.04
Then you multiply 113.04 x 7 = 719.28.
Round that number and you get to 791.3.

So the answer is c

8 0

3 years ago