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3 years ago

How can you find the inverse of a function algebraically

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

5 0

I hope this helps you can mostly find anything on google

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Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1

nikdorinn [45]

Answer:

Area of polygon D = 10 square units

Step-by-step explanation:

Given:

Polygon C has an area of 40 square units.

It is scaled with a scale factor of $\frac{1}2$ to form a new polygon D.

To find:

The area of polygon D = ?

Solution:

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

First of all, let us consider a right angled triangle with sides 6, 8 and 10 units.

Area of a right angled triangle is given by:

$A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units$

If scaled with a factor $\frac{1}{2}$ , the sides will be 3, 4 and 5.

New area, A':

$A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A$

i.e. Area becomes one fourth.

Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = $Length \times Width$ = 8 $\times$ 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 $\times$ 5 =20 sq units

So, $\bold{A' = \frac{1}4 \times A}$

Now, we can apply the same in the given question.

$\therefore$ Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ Area of polygon C

Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ 40 = 10 sq units

4 0

3 years ago

Write an equivalent expression for 5(-2x - 3)

bazaltina [42]

Step-by-step explanation:

5(-2x - 3)

-10x -15

-(10x +15)

4 0

4 years ago

If f(x)=12x+2(x-1), find f(6)

zavuch27 [327]

Answer:

12x6+2(6-1)

72+2x5

72+10

82 is the answer.

Step-by-step explanation:

Just replace the X's in the problem with 6.

5 0

4 years ago

Mitchell went on a shopping trip to Kensington. He purchased a pair of headphones originally priced at $50 but discounted 60%. I

MrRa [10]

Answer:

$24.50

Step-by-step explanation:

60% of $50= $30

$50-$30= $20

15% of $20= $4.50

$20+$4.50= $24.50

8 0

3 years ago

Read 2 more answers

What is the remainder when 16,055 is divided by 16? (Input numeric values only)

Rudik [331]

Answer:56

Step-by-step explanation:

with 16 into 55 do that math then put the number you got then put it into another 16 boom 56

7 0

3 years ago