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bekas [8.4K]
3 years ago
14

Points R, S, and T are collinear, and S is between R and T, in addition, RS = 2x-4, ST = 3x+2, and RT = 13. Find the value of RS

Mathematics
1 answer:
Alex17521 [72]3 years ago
5 0

Answer:

RS = 2

Step-by-step explanation:

Points R, S, and T are collinear, and S is between R and T, in addition, RS = 2x-4, ST = 3x+2, and RT = 13. Find the value of RS

Hence:

RS + ST = RT

2x - 4 + 3x + 2 = 13

2x + 3x - 4 + 2 = 13

5x - 2 = 13

5x = 13 + 2

5x = 15

x = 15/5

x = 3

To find the value of RS

RS = 2x-4

RS = 2 × 3 - 4

RS = 6 - 4

RS = 2

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Which equations are true for x = –2 and x = 2? Select two options
fomenos

Answer:

Number 1 and Number 4

Step-by-step explanation:

By factoring, you can figure out the roots (x = -2 or x = 2)...

1. x^2 - 4 = 0

--> (x + 2)(x - 2) = 0

--> x = -2, x = 2

2. x^2 + 4 = 0

--> factors weirdly, so I won't write it. You'd have to use the quadratic formula.

3. 3x^2 + 12 = 0

--> 3 (x^2 + 4) = 0

--> factors weirdly (same as above)

4. 4x^2 - 16 = 0

--> 4 (x^2 - 4) = 0

--> 4 (x+2) (x-2) = 0

--> x = -2, x = 2

5. 2 (x-2) 2 = 0

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7 0
2 years ago
If
topjm [15]

The Riemann sum with n = 6, taking the sample points to be midpoints is - 12.0625

<h3>What is Riemann sum?</h3>

Formula for midpoints is given as;

M = ∑0^n-1f((xk + xk + 1)/2) × Δx;

From the information given, we have the following parameters

  • x0 = 0
  • n = 6
  • xn = 3

Let' s find the parameters

Δx = (3 - 0)/6 = 0.5

xk = x0 + kΔx = 0.5k

xk+1 = x0 + (k +1)Δx

Substitute the values

= 0 + 0.5(k +1) = 0.5k - 0.5;(xk + xk+1)/2

We then have;

= (0.5k + 0.5k + 05.)/2

= 0.5k + 0.25.

Now f(x) = 2x^2 - 7

Let's find  f((xk + xk+1)/2)

Substitute the value of (xk + xk+1)/2)

= f(0.5k+ 0.25)

= 2(0.5k + 0.25)2 - 7

Put values into formula for midpoint

M = ∑05[(0.5k + 0.25)2 - 7] × 0.5.

To evaluate this sum, use command SUM(SEQ) from List menu.

M = - 12.0625

A Riemann sum represents an approximation of a region's area from addition of the areas of multiple simplified slices of the region.

Thus, the Riemann sum with n = 6, taking the sample points to be midpoints is - 12.0625

Learn more about Riemann sum here:

brainly.com/question/84388

#SPJ1

                                 

8 0
1 year ago
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