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Dmitry [639]
3 years ago
10

A hexagon has two congruent sides that

Mathematics
1 answer:
dem82 [27]3 years ago
4 0

Answer:

9

Step-by-step explanation:

2(10) + 4(x-3) = 44

4(x-3) = 24

x-3 = 6

x = 9

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Afina-wow [57]

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Find the x- and y-intercepts of the graph of 10x+2y=20 State each answer as an integer or an improper fraction in simplest form.
Deffense [45]

Answer:

  • Slope: \frac{10.000}{2.000} = -5.000
  • x - intercept: \frac{10}{5} = 2.
  • y intercept: \frac{10}{1} = 10.00000.

Step-by-step explanation:

<u>Simplify:</u>

  • Simplify the equation by subtracting what is to the right of the equal sign from both sides of the equation:
  • 10*x+2*y-(20)=0.

<u>Step 1:</u>

  • Pull out like factors:
  • 10x + 2y - 20 = 2 * (5x + y - 10)

<u>Step 2:</u>

  • Equations which are never true:
  • Solve:
  • 2 = 0
  • This can't be solved.
  • A non-zero constant never equals 0.
  • Equation of a straight line:
  • Solve:  5x+y-10 = 0
  • "y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
  • In this formula:
  • y tells us how far up the line goes
  • x tells us how far along
  • m is the Slope or Gradient i.e. how steep the line is
  • b is the Y-intercept i.e. where the line crosses the Y axis
  • The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  5x+y-10  = 0 and calculate its properties
  • Calculate the y-intercept:
  • Notice that when x = 0 the value of y is 10/1 so this line "cuts" the y axis at y=10.00000
  •  y-intercept = 10/1  = 10.00000
  • Calculate the x-intercept:
  • Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 10.000 and for x=2.000, the value of y is -0.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.000 - 10.000 = -10.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
  •    Slope     = -10.000/2.000 = -5.000

<u>Answers:</u>

  •  Slope = -10.000/2.000 = -5.000
  •  x-intercept = 10/5 = 2
  •  y-intercept = 10/1 = 10.00000

5 0
2 years ago
Find the smallest positive integer n such that the digit sum of n is divisible by 5, and the digit sum of n +1 is also divisible
alisha [4.7K]

Answer:

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Step-by-step explanation:

If the digit sum of n is divisible by 5, the digit sum of n+1 can't physically be divisble by 5, unless we utilise 9's at the end, this way whenever we take a number in the tens (i.e. 19), the n+1 will be 1 off being divisble, so if we take a number in the hundreds, (109, remember it must have as many 9's at the end as possible) the n+1 will be 2 off being divisble, so continuing this into the thousands being three, tenthousands being 4, the hundred thousands will be 5 off (or also divisble by 5). So if we stick a 1 in the beginning (for the lowest value), and fill the last digits with 9's, we by process of elimination realise that the tenthousands digit must be 3 such that the digit sum is divisible by 5, therefore we get 139,999

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2 years ago
How do I find domiannamd range for a continuous graph?​
Phoenix [80]

Answer:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x -axis. The range is the set of possible output values, which are shown on the y -axis.

Step-by-step explanation:

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