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guajiro [1.7K]
2 years ago
13

Count the left-handed and right-handed spirals on the cacti in the photograph.

Mathematics
1 answer:
Digiron [165]2 years ago
8 0

Answer:

2 = 1 + 1

3 = 2 + 1

5 = 3 + 2

8 = 5 + 3

13 = 8 + 5

21 = 13 + 8.

Fibonacci numbers are found in many structures in nature.

We have just found that these cacti enclose Fibonacci numbers 13 and 21.

13 and 21

Step-by-step explanation:

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Please help me <br> 30 points <br> Show you work
GenaCL600 [577]

Answer:

(a) A translation is a rigid transformation. How does this statement support line s being parallel to line r?

Because ALL of the points of line r move the same distance in the same direction, then the inclination of the line s doesn't change with respect line r.

(b) Write and expression for the slope of line r:

(k-n)/(j-m)

(c) Write and expression for the slope of line s:

(k-n)/(j-m)

(d) Line q is a vertical is a vertical translation of line s 3 units down. P'' is the image of P'. What are the coordinates of P''?

The coordinates of P'' are:

P''=(m,n+ϴ-3)

Step-by-step explanation:

(a) A translation is a rigid transformation. How does this statement support line s being parallel to line r?

Because ALL of the points of line r move the same distance in the same direction, then the inclination of the line s doesn't change with respect line r.


(b) Write and expression for the slope of line r.

Line r goes through the points:

P=(m,n)=(xp,yp)→xp=m, yp=n

Q=(j,k)=(xq,yq)→xq=j, yq=k

Slope of line r is:

mr=(yq-yp)/(xq-xp)

Replacing the coordinates, the expression for the slope of line r is:

mr=(k-n)/(j-m)


(c) Write and expression for the slope of line s.

Line s goes through the points:

P'=(m,n+ϴ)=(xp',yp')→xp'=m, yp'=n+ϴ

Q'=(j,k+ϴ)=(xq',yq')→xq'=j, yq'=k+ϴ

Slope of line s is:

ms=(yq'-yp')/(xq'-xp')

Replacing the coordinates, the expression for the slope of line s is:

ms=[(k+ϴ)-(n+ϴ)]/(j-m)

Eliminating the parentheses in the numerator:

ms=[k+ϴ-n-ϴ]/(j-m)

Simplifyng:

ms=(k-n)/(j-m)


(d) Line q is a vertical is a vertical translation of line s 3 units down. P'' is the image of P'. What are the coordinates of P''?

3 units down, then change only the ordinate y:

P''=(xp',yp'-3)

Replacing xp' and yp':

P''=(m,n+ϴ-3)


7 0
3 years ago
Read 2 more answers
What is x+9=2(x_1)^2 in the form of ax^2+bx +c=0
Naddik [55]
<span>x + 9 = 2(x - 1)^2
x + 9 = 2(x^2 - 2x + 1)
x + 9 = 2x^2 - 4x + 2
</span>2x^2 - 4x + 2 - x - 9 = 0
2x^2 - 5x -7 =0
7 0
3 years ago
Mrs. Margul paid $125 to have her hair colored and cut.If she tips her hairdresser 15%, what is her total bill?
Mariulka [41]

Answer:

the answer of her total bill is $143.75.

5 0
3 years ago
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Polygon ABCDE is the first in a pattern for a high school art project. The polygon is transformed so that the image of A' is at
Bond [772]

Answer:

Translation

Step-by-step explanation:

To keep a shape congruent or the same then you can Translate or to slide the shape not to change any sides.

3 0
3 years ago
In a memory​ experiment, Alice is able to memorize words at a rate given by m '(t)= - 0.009t^2 + 0.6t. In the same memory​ exper
White raven [17]

Answer:

1) Ben, 2) \Delta = 2, 3) \dot m = 2.7, 4) \dot M = 2.9

Step-by-step explanation:

1) Ben has a higher rate of memorization, since the coefficient of the second power is lesser than the one from Alice.

2) The number of words can be estimated by integrating the function:

Alice

\Delta m = -0.003\cdot (10\,min)^{3} + 0.3\cdot (10\,min)^{2}

\Delta m = 27

Ben

\Delta M = -0.001\cdot (10\,min)^{3} + 0.3\cdot (10\,min)^{2}

\Delta M = 29

\Delta = \Delta M - \Delta m

\Delta = 2

3) The average amount of words per minute is:

\dot m = \frac{27}{10}

\dot m = 2.7

4) The average amount of words per minute is:

\dot M = \frac{29}{10}

\dot M = 2.9

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3 years ago
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