Exercice 2:
Exprimer chacune des propositions suivantes par une égalité faisant intervenir des longueurs.
1) Le point A est l'image du point B par l'homothétie de centre i et de rapport 0,6.
2) Le point M a pour image de point P par l'homothétie de centre R et de rapport -3.
3) Le point A est l'image du point B par l'homothétie de centre i et de rapport -5.
4) Le point M a pour image de point P par l'homothétie de centre R et de rapport 0,2.

Answer:

y = -3

Step-by-step explanation:

it crosses the y axis at -3. Also, it's horizontal so the slope is zero.

The distance the club head is from the pivot point is about 5.2 feet.

A circle is the locus of a point such that its distance from a fixed point known as the center is always constant.

Let r represent the radius of the circle, that is the distance the club head is from the pivot point. Hence:

Length of arc = angle in radians * radius

26 = 5r

r = 5.2 feet

The distance the club head is from the pivot point is about 5.2 feet.

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Answer:.

Step-by-step explanation:

Answer:

Answer:

the answer to your question △JLK∼△PQR. Find the value of x. is 30 the value of x is 30

Step-by-step explanation:

Sincerely a 13 year old

Answer:

7 + 6 = 13

13 = 7 + 6

13 – 6 = 7

7 = 13 – 6

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

Since -2 is in between -5 and 0, we will use the part of the function that says f(x)=x^2 + 3x.

Substituting x=-2, we get (-2)^2 -3(-2)=4+6=10

Answer:

12.5 g

Step-by-step explanation:

75% with glycerine, so 100% - 75% = 25% without glycerine

so 50 g ^ 25% = 12.5 g without glycerine

Answer:

1. a = 0 and 5

2. no solutions

Step-by-step explanation:

For absolute value, it's the distance from that number on the number line to 0, so it has to be positive. We define absolute value as when |a| = b, a = b and a = -b.

1. |a - 5| = 5 - a

a - 5 = 5 - a

2a = 10

a = 5

AND

a - 5 = -(5 - a)

a - 5 = -5 + a

-5 = -5

a = 0 (a could work as 0 in this scenario)

Thus our solutions are a = 0 and 5.

2. |a| = -1

Now we have to catch ourselves here. Since absolute value is always positive, nothing works. There is no negative distance to 0 (at least in real numbers).  Hence, we can say that there are no solutions.

The % decrease in the number of scheduled passenger flights from February of 1999 to last February was 12.97%.

Given that last February there were 617,624 scheduled passenger flights in a certain country, and in February of 1999 there were 709,639, to determine the % decrease in the number of scheduled passenger flights from February of 1999 to last February, the following calculation must be made:

Therefore, the % decrease in the number of scheduled passenger flights from February of 1999 to last February was 12.97%.

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Answer: I don’t know much but I still know some! If you ever need help reply to this comment please

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

Find the mean of the list:

(0.2, 0.21, 0.17, 3.22, 0.2)

The mean of a list of numbers is given by:

(sum of elements)/(number of elements)

(sum of elements) = 0.2 + 0.21 + 0.17 + 3.22 + 0.2:

(0.2 + 0.21 + 0.17 + 3.22 + 0.2)/(number of elements)

Counting, we see that the list has 5 elements:

(0.2 + 0.21 + 0.17 + 3.22 + 0.2)/5

0.2 + 0.21 + 0.17 + 3.22 + 0.2 = 4:

4/5

4/5 = 0.8:

Answer:  0.8

Answer:

0.8

Step-by-step explanation:

The mean of the data set can be found by adding all terms together and dividing by the amount of terms there is. In this case, add all the numbers and divide by 5:

(0.2 + 0.21 + 0.17 + 3.22 + 0.2)/5 =

(4)/5 = 0.8

0.8 is the mean for the given set.

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Answer:

Step-by-step explanation:

Answer:

[tex]m = \frac{4}{5} = 0.8[/tex]

Step-by-step explanation:

[tex]m = \frac{5 + 3}{6 + 4} = \frac{8}{10} = \frac{4}{5} [/tex]

Answer:

Anna owes $3600 to the bank

Step-by-step explanation:

12/100 * 6000 = 720 * 5 years

= $3600

Hence Anna owes $3600 to the bank

Answer:

31/2

Step-by-step explanation:

Answer:

60 1/8

Step-by-step explanation:

6 1/2 * 9 1/4 =

= 13/2 * 37/4

= (13 * 37)/(2 * 4)

= 481/8

= 60 1/8

Answer:

74 degrees

Step-by-step explanation:

sin(Ф) = O/H

sin(Ф) = 24/25

Ф = [tex]sin^-^1(24/25)\\[/tex]

Ф = 73.7397...

Answer:

Axis of symmetry:

1. x=2

2. x=3/4

3. x=-1

Vertex:

1. (2,-1)

2. (3/4, -31/8)

3. (-1,-7)

Vertex min/max:

1. Minimum

2. Maximum

3. Minimum

Answer:

Solve by Graphing y=1/2x-5 y=-1/3x. y=12x−5 y = 1 2 x - 5 y=−13x y = - 1 3 x. Combine 12 1 2 and x x . y=x2−5 y = x 2 - 5. y=−13x y = - 1 3 x.

Step-by-step explanation:

Answer:

24:40

Step-by-step explanation:

To find the radio for red dye to total drops of dye, just add the red and blue dye.

The ratio of drops of red dye to total drops of dye is 3:2.

When a number is divisible by another number, then it can be written in the form of a:b, this is called Ratio.

Priya is making frosting.

The number of drops of blue dye is 16.

The number of drops of red dye is 24.

Ratio ( Red dye : Blue dye) = 24 : 16

Ratio ( Red dye : Blue dye) = 3:2

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Given parameters:

Original selling price = $84

Discounted Selling price  = $72

Unknown:

Percentage discount = ?

Solution:

To find the percentage discount;

Discount = Original selling price  - Discounted selling price

               = $84 - $72

               = $12

Now,

  Percentage discount  = [tex]\frac{12}{84} x 100[/tex]   = 14.3%

The percentage discount is 14.3%

Step-by-step explanation:

I know that

[tex] \cot {}^{2} (x) + 1 = \csc {}^{2} (x) [/tex]

So These the steps I need to do:

First Apply Reciprocal Identies to find Cot x.

[tex] \frac{1}{ \tan(x) } = \cot(x) [/tex]

So cot x is

[tex] \frac{24}{7} [/tex]

Now, I can squared that result and add 1 to get csc^2(x).

[tex] \frac{576}{49} + 1 = \frac{576}{49} + \frac{49}{49} = \frac{625}{49} [/tex]

Now, I take the principal square root since csc is positve when theta is in the 1st quadrant.

[tex] \frac{ \sqrt{625} }{ \sqrt{49} } = \frac{25}{7} [/tex]

So

[tex] \csc(x) = \frac{25}{7} [/tex]

[tex]cosec{\theta=\frac{25}{7}is\ the\ answer.}[/tex]

[tex]If\ tan\ \theta=\frac{7}{24},0\ degrees < \theta < 90\ degrees[/tex]

[tex]sec\ \theta=\sqrt{1+\tan^2\theta}=\sqrt{1+\frac{49}{576}}=\sqrt{\frac{625}{576}}=\frac{25}{24}[/tex]

[tex]cos\ \theta=\frac{1}{sec\ \theta}=\frac{24}{25}[/tex]

[tex]sin\ \theta=\sqrt{1-\cos^2\theta}=\sqrt{1-(\frac{24}{25})^2}=\sqrt{\frac{49}{625}}=\frac{7}{25}[/tex]

[tex]cosec\ \theta=\frac{1}{sin\ \theta}=\frac{25}{7}[/tex]

[tex]Hence,\ cosec\ \theta=\frac{25}{7}is\ the\ answer.[/tex]

I hope this helps you

:)

Answer:

(-3, 2)

Step-by-step explanation:

If we are dealing with vertical movement up/down, we manipulate the x-axis.

If we are dealing with horizontal movement left/right, we manipulate the y-axis.

We are trying to move the point right 4 units (horizontal movement) and down 4 units (vertical movement).

(1, -2) → (1 - 4, -2 + 4) → (-3, 2)

Answer:

The nth term of an arithmetic sequence is given by. an = a + (n – 1)

Answer:

The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula.

Step-by-step explanation:

Answer: x=36

Assuming that O is the centre of the circle,

108+a+a=180(sum of the interior angles of a triangle is 180)

2a=180-108

2a=72

a=72÷2

a=36

a=x (angles in the same segment are equal)

Therefore x=36

Step-by-step explanation:

Answer:

$2.40

Step-by-step explanation:

as five of artichokes caused $1, a dozen is the same number as 12, so use cross multiply and you will get the answer $2.40

cross multiply : 5 artichokes = $1

12 artichokes = x

5x = $1 x $12

5x = $12

x = 12/5

x = $2.40

Answer:

A i think

Step-by-step explanation: