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dangina [55]
3 years ago
6

The rectangle has rotational symmetry of order

Mathematics
2 answers:
nataly862011 [7]3 years ago
7 0

Answer:

The rectangle has rotational symmetry of order = 2

The rectangle's rotational symmetry occurs for angles of 90 degrees.

Helga [31]3 years ago
3 0

Answer:

2

180 and 360

Step-by-step explanation:

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30. -3a^2= -3-6^2 is this correct? And I have to evaluate o I am not good at that so if u can help THANK YOU so much!
almond37 [142]

Answer:

-3a^2= -3*(-6)^2

Step-by-step explanation:

-3a^2 = -3*a^2 = -3*(-6)^2

7 0
3 years ago
Write the cubic polynomial function f(x)in expanded form with zeros −6,−5,and −1, given that f(0)=60
RSB [31]

Answer:

f(x)=2x^{3}+24x^{2}+82x+60

Step-by-step explanation:

we know that

The roots of the polynomial are the values of x when the value of the polynomial f(x) is equal to zero

The roots of the polynomial function are

x=-6 -----> (x+6)=0

x=-5 -----> (x+5)=0

x=-1 -----> (x+1)=0

The equation of the cubic polynomial is

f(x)=a(x+6)(x+5)(x+1)

where

a is the leading coefficient

Remember that

f(0)=60

That means ------> For x=0 the value of f(x) is equal to 60

substitute the value of x and the value of y in the function and solve for a

60=a(0+6)(0+5)(0+1)

60=a(6)(5)(1)

60=30a

a=2

so

f(x)=2(x+6)(x+5)(x+1)

Applying the distributive property

Convert to expanded form                  

f(x)=2(x+6)(x+5)(x+1)\\\\f(x)=2(x+6)(x^{2}+x+5x+5)\\\\f(x)=2(x+6)(x^{2}+6x+5)\\\\f(x)=2(x^{3}+6x^{2}+5x+6x^{2}+36x+30)\\\\f(x)=2x^{3}+24x^{2}+82x+60

3 0
3 years ago
Find the equation of the line that passes through point (7,5) and (-9,5)
Papessa [141]

Answer:

y = 5

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 9, 5)

m = \frac{5-5}{-9-7} = \frac{0}{-16} = 0

This means the line is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (7, 5) and (- 9, 5) with y- coordinates 5, thus

y = 5 ← equation of line

4 0
3 years ago
Identfy the equation that translates Y= In(x) five units down.
mariarad [96]

Answer:

y= In(x)-5

Step-by-step explanation:

3 0
3 years ago
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