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Romashka-Z-Leto [24]
2 years ago
10

What is the slope of a line perpendicular to the line y=2x+5 ?

Mathematics
1 answer:
blsea [12.9K]2 years ago
7 0

Answer:

1/2.

Step-by-step explanation:

the slope of a line perpendicular to another is the reciprocal of the original lines slope.

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Does this set of ordered pairs form a function?
zhenek [66]

Considering that each input is related to only one output, the correct option regarding whether the relation is a function is:

A. yes.

<h3>When does a relation represent a function?</h3>

A relation represents a function when each value of the input is mapped to only one value of the output.

For this problem, we have that:

  • The input is a number.
  • The output is an activity.

There are no repeated inputs, hence the relation is a function and option A is correct.

More can be learned about relations and functions at brainly.com/question/12463448

#SPJ1

3 0
2 years ago
55. The sum of an infinite geometric series is five times the value of the first term. What is the common ratio of the series?
myrzilka [38]

Answer:

r = 4/5

Step-by-step explanation:

Formula

Sum of an infinite geometric series = a / (1 - r)

Givens

Sum = 5*a

a = a

r = ?

Solution

5a = a/(1 - r)                   Divide both sides by a

5a/a = a / (a * (1 - r)       The a's on the right cancel

5 = 1 / (1 - r)                    Multiply both sides by 1 - r

5*(1 - r) = 1*(1 - r)/(1 - r)   The 1 - r s on the right cancel

5*(1 - r) = 1                     Remove the brackets.

5 - 5r = 1                        Subtract 5 from both sides

5-5 - 5r = 1 - 5               Combine

-5r = - 4                          Divide by - 5

r = 4/5  

8 0
2 years ago
What is the center of the ellipse x2+5y2–45=0?
jeka94

Answer:

Center is at (0,0)

Step-by-step explanation:

An equation of ellipse in standard form is:

\displaystyle{\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2} = 1

Where center is at point (h,k)

From the equation of \displaystyle{x^2+5y^2-45=0}. First, we add 45 both sides:

\displaystyle{x^2+5y^2-45+45=0+45}\\\\\displaystyle{x^2+5y^2=45}

Convert into the standard form with RHS (Right-Hand Side) equal to 1 by dividing both sides by 45:

\displaystyle{\dfrac{x^2}{45}+\dfrac{5y^2}{45}=\dfrac{45}{45}}\\\\\displaystyle{\dfrac{x^2}{45}+\dfrac{y^2}{9}=1}

Therefore, the center of ellipse is at (0,0) since there are no values of h and k.

8 0
2 years ago
Marty drew a model of the school library, the total area of the floor is 132 square centimeters, What is the area of the shaded
dlinn [17]

Answer:

Step-by-step explanation:

5 0
3 years ago
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A symmetrical binomial distribution with large sample size can be approximated by a __________
sweet [91]
Typical distribution?
7 0
3 years ago
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