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nikklg [1K]
3 years ago
15

Which answer describes the graph of the system of equations?​

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
7 0

Answer:

D, the lines coincide.

Step-by-step explanation:

isolate the y so theres no 2y, only y:

2y = 8 - 2x (divide both sides by 2)

y = 4 - x

The lines are the same line, so while they are plural, they also coincide, as one lies on top of the other.

Hope this helps :) Brainliest??

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The sum of two numbers is 48 and the difference is 20. what are the number?​
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Answer:

x = 34; y = 14

Step-by-step explanation:

Step 1: Make the equations

x + y = 48

x - y = 20

Step 2: Solve the equations

x + y = 48

x - y = 20

2x = 68

x = 34

34 + y = 48

y = 14

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PLEASE HELP ME?! GEOMETRY !! FIND THE AREA OF THE YELLOW SHADED REGION!! PLEASE EXPLAIN!! BRAINLIEST GIVEN!!
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respond to the following in a minimum of 175 of your own words: how would you explain the differences between the trapezoidal ru
harkovskaia [24]

The differences between the trapezoidal rule and simpson's rule is -

The trapezoidal rule and Simpson's method, the latter a set of formulas of varying complexity, are both Newton-Cotes formulas, that are used to examine and model complex curves.

<h3>What is trapezoidal rule?</h3>

The trapezoidal rule is just an integration rule that divides a curve into small trapezoids to calculate the area under it. A area under the curve is calculated by adding the areas of all the small trapezoids.

Follow the steps below to use the trapezoidal rule to determine the area under given curve, y = f. (x).

  • Step 1: Write down the total number of sub-intervals, "n," as well as the intervals "a" and "b."
  • Step 2: Use the formula to determine the width of the sub-interval, h (or) x = (b - a)/n.
  • Step 3: Use the obtained values to calculate this same approximate area of a given curve, ba f(x)dx Tn = (x/2) [f(x0) + 2 f(x1) + 2 f(x2) +....+ 2 f(n-1) + f(n)], where xi = a + ix
<h3>What is Simpson's method?</h3>

Simpson's rule is used to approximate the area beneath the graph of the function f to determine the value of the a definite integral (such that, of the form  b∫ₐ f(x) dx.

Simpson's 1/3 rule provides a more precise approximation. Here are the steps for using Simpson's rule to approximate the integral ba f(x) dx.

  • Step 1: Figure out the values of 'a' & 'b' from interval [a, b], as well as the value of 'n,' which represents the number of subintervals.
  • Step 2: Determine the width of every subinterval using the formula h = (b - a)/n.
  • Step 3: Using the interval width 'h,' divide this same interval [a, b] [x₀, x₁], [x₁, x₂], [x₂, x₃], ..., [xn-2, xn-1], [xn-1, xn] into 'n' subintervals.
  • Step 4: In Simpson's rule formula, substitute all of these values and simplify. b∫ₐ f(x) dx ≈ (h/3) [f(x0)+4 f(x1)+2 f(x2)+ ... +2 f(xn-2)+4 f(xn-1)+f(xn)].

Thus, sometimes we cannot solve an integral using any integration technique, and other times we don't have a particular function to integrate. Simpson's rule aids in approximating the significance of the definite integral in such cases.

To know more about the Simpson's method and trapezoidal rule, here

brainly.com/question/16996659

#SPJ4

3 0
9 months ago
How many squares of all sizes are there in the 3 by 3 square shown next?
svet-max [94.6K]
There are 9 unit squares, 4 2x2 squares, and 1 3x3 square, for a total of 14.
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