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MissTica
2 years ago
14

3. Consider the straight line x + y = 1 and the family of straight lines that pass

Mathematics
1 answer:
ANTONII [103]2 years ago
5 0

Answer:

  • solution: (1/(1+m), m/(1+m))
  • no solution for m = -1 (lines are parallel)

Step-by-step explanation:

Two distinct lines will always have a point of intersection, provided they are not parallel. That is, the system of equations {x +y = 1, y = mx} will have a unique solution as long as m ≠ -1.

The solution to the system can be found by substitution:

  x +mx = 1

  x(1 +m) = 1 . . . . factor out x

  x = 1/(1+m) . . . . . divide by the coefficient of x; we must have m ≠ -1

  y = m/(1+m) . . . . find the y-coordinate of the solution

The point of intersection is (1/(1+m), m/(1+m)).

__

The above solution is undefined when the denominator is zero: m = -1. There is no solution for m = -1.

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There are 10 Superscript 9 bytes in a gigabyte. There are 10 Superscript 6 bytes in a megabyte. How many times greater is the st
ohaa [14]

To find the how many  times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive we have to apply exponent operation.

The storage capacity of a 1-gigabyte is 1000 greater than 1-megabyte flash drive.

Given:

The given exponent for gigabyte is,

10^9

The given exponent of megabyte is,

10^6

<h3>What is exponent rule?</h3>
  • The power rule of exponent rule is defined as if raise the a number with exponent to power then we will mulitply exponent to the power times.  
  • to change the negative exponent into a positive we have to invert the base.

Calculate the storage capacity.

\dfrac{10^9}{ 10^6}=10^9-6}\\&#10;\dfrac{10^9}{ 10^6}=10^3\\&#10;\dfrac{10^9}{ 10^6}=1000

Thus, the storage capacity of a 1-gigabyte is 1000 greater than 1-megabyte flash drive.

Learn more about exponent rule here:

brainly.com/question/2254060

8 0
2 years ago
Use the order of operations to find the value of the expression. 2 + 3 × 16 − 2 × 21 − 3
kolezko [41]

Answer:

5

Step-by-step explanation:

=2+(3)(16)-(2)(21)-3

=2+48-(2)(21)-3

=50-(2)(21)-3

=50-42-3

=8-3

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Hope this helped! :)

6 0
2 years ago
Sahra is three times as old as her daughter. If the sum of their age is 32. what is the age of the daughter?​
Andrews [41]
So Sahra is 3 times as old as her daugter. That means that the sum of their age is the daughters age times 4.
We can prove that by saying the daughters age is x. Sahra's age must be 3x. Their sum must be x+3x = 4x.
So to get the daughters age we divide the sum by 4, which is 8.
8 0
3 years ago
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Maisha has 3(x+2) hours reading a book 8x-5 hours sleeping and 2x hours playing.How many hours did she spend in all of these act
Mandarinka [93]
Add all the activities together

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=3x + 6 + 8x - 5 + 2x
combine like terms
=(3x + 8x + 2x) + (6 - 5)
=13x + 1

ANSWER: 13x + 1

Hope this helps! :)
6 0
3 years ago
Mr. Twain asked the students in his class to draw the figure below using a scale factor
arsen [322]

Answer:Mark

Step-by-step explanation:Diva

3 0
3 years ago
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