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Vikki [24]
3 years ago
11

Explain how you find ordered-pair solutions of the equation 3x – 5y = 15, and then find two such solutions.'

Mathematics
1 answer:
Luda [366]3 years ago
5 0
The constant on the right is divisible by the coefficients on the left, so two solutions are
  (x, y) = (5, 0) or (0, -3)

The slope of the line is 3/5, so increaing y by 3 and x by 5 will result in another solution. One general parametric solution is then
  x = 5n
  y = 3n-3
_____
Integer values of n will result in integer solutions. Any value of n will yield numbers that satisfy the equation.

In general, the extended Euclidean algorithm can be used to find integer solutions. Then adding multiples of some number n to y and x in the ratio of the slope of the line will yield other solutions.
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Natalie is completing construction of an equilateral triangle inscribed in a circle, as shown below. What should be the next ste
mixas84 [53]

The next step she should take is to draw arcs above and or below line AB to show where the triangles sides meet.

<h3>Steps in construction of an equilateral triangle</h3>

The steps involved in the construction of an a equilateral triangle are:

  • Place the compass point on A and measure the distance to point B
  • Swing an arc of this size above or below of the segment.
  • Do not change the span on the compass
  • Then place the compass point on B and swing the same arc, intersecting with the first arc
  • Label the point of intersection as the third vertex of the equilateral triangle.

Thus, the next step she should take is to draw arcs above and or below line AB to show where the triangles sides meet.

Learn more about construction of an equilateral triangle here:

brainly.com/question/11261696

#SPJ1

3 0
2 years ago
4 books for $26 and 6 books for $42<br> What’s the better buy?
tester [92]

Answer:

4 books for $26

Step-by-step explanation:

4 books for $26

Take the price and divide by the number of books

$26/4 =$6.50 per book

6 books for $42

Take the price and divide by the number of books

$42/6 = $7.00 per book

The better buy is 4 books for $26

3 0
3 years ago
Diagram/ algebra please help asap needs to be done now
Firlakuza [10]

Answer: 20\ cm

Step-by-step explanation:

For this exercise you need to remember that a Square is defined as a Quadrilateral whose sides are equal in lenght and all its interios angles measure 90 degrees.

Based on that definition, and observing the squarE given in the picture attached, you can write the following equation:

6x-1=4x+6

Then, you need to solve for the variable "x" in order to find its value. You get that this is:

6x-4x-1=6\\\\2x-1=6\\\\2x=6+1\\\\2x=7\\\\x=\frac{7}{2}\\\\x=3.5

Now, knowing the value of "x" you can susbstitute it into any expression that represents the side of the square, and then you must evaluate in order to find the lenght of the side.

You get:

(6x-1)\ cm=(6(3.5)-1)\ cm=(21-1)\ cm=20\ cm

7 0
3 years ago
Find all values of $x$ such that<br> \[\frac{2x}{x + 2} = -\frac{6}{x + 4}.\]
antoniya [11.8K]

Answer:x_1= -1 or x_2= -6

Step-by-step explanation:

In the pictures

5 0
3 years ago
the bottom of a ladder must be placed 3 feet from a wall. the ladder is 12 feet long. how far above the ground does the ladder t
Kitty [74]
Use the formula a squared plus b squared =csquared in this case you will come out with an equation like this 3sqaured + bsqaured =12squared 9+bsqaured =144 144-9= b= 135 B=approximately 11.5
5 0
3 years ago
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