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Helen [10]
3 years ago
10

Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN? (0, 1) (0, 4) (1, 0) (4,

0)
Mathematics
1 answer:
LenaWriter [7]3 years ago
3 0
I need to see line MN and point P first on a graph.
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What is the sum of the arithmetic series
docker41 [41]

Answer:

S_ {12} = 192

Step-by-step explanation:

The nth term of the given arithmetic sequence is

U_n = 3 + 2n

The first term of this series is:

U_1 = 3 + 2(1) = 5

The last term of this series is when

n = 12

U_ {12}= 3 + 2(12)

U_ {12}= 3 + 24 = 27

The sum of the first n terms of an arithmetic series when the first an last term is known is given by:

S_n =  \frac{n}{2}(a + l)

Where a=5 is the first term and l=27 is the last term.

S_ {12} =  \frac{12}{2}(5 + 27)

S_ {12} =6(32) =19 2

6 0
3 years ago
If the width of a square piece of material is 3x – 2, what is the area?
Zinaida [17]
The answer is B because its a square so all sides are equal and then you factor
3 0
2 years ago
Please help me out!​
melisa1 [442]

Answer:

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7 0
2 years ago
A jar contains 12 red marbles, 16 blue marbles, and 18 white marbles. Four marbles are chosen
tatiyna

Answer:

10.6 all white marbles

Step-by-step explanation:

Submitted to you

8 0
2 years ago
A challenge to all math experts...
liq [111]

Answer:

0

Step-by-step explanation:

<h3>Given</h3>
  • (x + \sqrt{1 + x^2})(y + \sqrt{1 + y^2}) = 1
  • (x+y)² = ?
<h3>Solution</h3>

<u>Let's make substitution as:</u>

  • (x + \sqrt{1 + x^2}) = m

then

  • (y + \sqrt{1 + y^2}) = 1/m

<u>Solving the first equation for x and the second one for y:</u>

  • (x + \sqrt{1 + x^2}) = m
  • \sqrt{1 + x^2} = m - x
  • 1 + x² = (m - x)²
  • 1 + x² = m² - 2mx + x²
  • 2mx = m² - 1
  • x = (m² - 1)/2m

And

  • (y + \sqrt{1 + y^2}) = 1/m
  • \sqrt{1 + y^2} = 1/m - y
  • 1 + y² = 1/m² -2y/m + y²
  • 1 = 1/m² - 2y/m
  • m² = 1 - 2my
  • 2my = 1 - m²
  • y = (1 - m²)/2m
  • y = - (m² - 1)/2m

<u>Now, sum of x and y:</u>

  • x + y =  (m² - 1)/2m - (m² - 1)/2m = 0

<u>Therefore:</u>

  • (x+y)² = 0

Answer is zero

8 0
3 years ago
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