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miss Akunina [59]
2 years ago
11

What is the 100th term of the sequence if the first term is 5 and the common difference is 2?

Mathematics
1 answer:
BabaBlast [244]2 years ago
4 0

Answer:

505

Step-by-step explanation:

sn=2a+(n-1)d

2*5+(100-1)5

10+(99)5

505

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PLZ HURRY IT'S URGENT!!
FromTheMoon [43]

Option C: \frac{4}{5} is the slope of the line

Explanation:

The line passes through the points (3,-1) and (-2,-5)

We need to find the slope of the line.

The slope can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Where the coordinates (x_1,y_1) and (x_2,y_2) are (3,-1) and (-2,-5)

Let us substitute the points in the formula

Thus, we have,

m=\frac{-5-(-1)}{-2-3}

Simplifying, we get,

m=\frac{-5+1}{-2-3}

Adding the numerator and denominator, we have,

m=\frac{-4}{-5}

Cancelling the negative terms, we get,

m=\frac{4}{5}

Thus, the slope of the line is m=\frac{4}{5}

Therefore, Option C is the correct answer.

5 0
3 years ago
Find KL and show work
MissTica

Answer:

<u>Secant</u>: a straight line that intersects a circle at two points.

<u>Intersecting Secants Theorem</u>

If two secant segments are drawn to the circle from one exterior point, the product of the measures of one secant segment and its external part is equal to the product of the measures of the other secant segment and its external part.

From inspection of the given diagram:

  • M = Exterior point
  • MK = secant segment and ML is its external part
  • MS = secant segment and MN is its external part

Therefore:

⇒ ML · MK = MN · MS

Given:

  • MK = (x + 15) + 6 = x + 21
  • ML = 6
  • MS = 7 + 11 = 18
  • MN = 7

Substituting the given values into the formula and solving for x:

⇒ ML · MK = MN · MS

⇒ 6(x + 21) = 7 · 18

⇒ 6x + 126 = 126

⇒ 6x = 0

⇒ x = 0

Substituting the found value of x into the expression for KL:

⇒ KL = x + 15

⇒ KL = 0 + 15

⇒ KL = 15

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