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Kay [80]
2 years ago
8

Please help!!!!!!!!!!!

Mathematics
1 answer:
boyakko [2]2 years ago
4 0

Answer:

  (7√6)/2

Step-by-step explanation:

The side ratios in these special triangles are ...

  30°-60°-90° triangle: 1 : √3 : 2

  45°-45°-90° triangle: 1 : 1 : √2

This tells you the length of the horizontal line is 7√3, and the value of x is ...

  (7√3)/√2 = (7√6)/2

_____

<em>Additional comment</em>

Call the length of the horizontal line "y". Then the given ratios tell you ...

  7 : y = 1 : √3   ⇒   y/7 = √3/1   ⇒   y = 7√3

and

  x : y = 1 : √2   ⇒   x/y = 1/√2   ⇒   x = y/√2

When we rationalize the denominator, we get ...

  x = (y√2)/2 = ((7√3)√2)/2 = (7√6)/2

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The endpoints of (MP)are M(2,1) and P(12,6). If point K partitions (MP) in a ratio of MK:KP = 3:2, what are the coordinates of K
GREYUIT [131]

Answer:

K(8, 4)

Step-by-step explanation:

Given:

M(2, 1), P(12, 6)

MK:KP = 3:2

Required:

Coordinates of K

SOLUTION:

Coordinates of K can be determined using the formula below:

x = \frac{mx_2 + nx_1}{m + n}

y = \frac{my_2 + ny_1}{m + n}

Where,

M(2, 1) = (x_1, y_1)

P(12, 6) = (x_2, y_2)

m = 3, n = 2

Plug in the necessary values to find the coordinates of K:

x = \frac{mx_2 + nx_1}{m + n}

x = \frac{3(12) + 2(2)}{3 + 2}

x = \frac{36 + 4}{5}

x = \frac{40}{5}

x = 8

y = \frac{my_2 + ny_1}{m + n}

y = \frac{3(6) + 2(1)}{3 + 2}

y = \frac{18 + 2}{5}

y = \frac{20}{5}

y = 4

The coordinates of K = (8, 4)

3 0
3 years ago
HELP HELP PLS The population city in 2005 was 20,000. By 2015, the city's population had grown to
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40250

Step-by-step explanation:

Every 10 years the population goes up by 13,500. So divided 13500/2=6750. Then add6750 to 33500

4 0
2 years ago
Help pleaseeeee. Just need the answer
I am Lyosha [343]
I know it’s A. But not sure about the fraction part I’ll solve it later for you
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PLEASE HELP! my test is due in 10 minutes.. What is teh range of the relation above?
lisov135 [29]

Answer:

D) The Y value never goes above 6.

Step-by-step explanation:

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3 years ago
B(x)=|x+4| what is b(-10)
e-lub [12.9K]

Answer:

6

Step-by-step explanation:

b(-10) = |-10+4| will be |-6|

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3 years ago
Read 2 more answers
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