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Maurinko [17]
2 years ago
11

Use the information in the figure to determine the height of the pole.

Mathematics
2 answers:
Zanzabum2 years ago
6 0

(x + 5)^2 + (x/2 + 6)^2 = (30)^2

Take it from here.

Alexeev081 [22]2 years ago
5 0

Answer:

pole height = 29 ft

Step-by-step explanation:

x² = 30² - (1/2x + 6)² = 30² - (1/4x² + 6x + 36) = 900 - 1/4x² - 6x - 36

combine like terms:

x² = -1/4x² - 6x + 864

1 1/4x² + 6x - 864 = 0

divide both sides of the equation by 1 1/4:

x² + 4.8x - 691.2 = 0

(x - 24)(x + 28.8) = 0

x = 24 ft

pole height = 24 + 5 = 29 ft

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Can someone please help me with this
krek1111 [17]

point 1 = ( -1 , 5 )       point 2 = ( 5 , -5 )

equation of a line:       y = mx + b

Find Slope (m):

( 5 - (-5)) / (-1 - 5))

= 10 / -6

= -3 / 2

slope = -3/2


Find y-intercept (b):

y = mx + b

y = -3/2 * x + b

5 = -3/2 * -1 + b          <--------------  use the x and y coordinate of one of the                                                                                  .                                                                        points. I used point 1 ( -1 , 5 )

b = 7/2 or 3.5


Assemble:

y = -3/2 * x + 3.5

4 0
2 years ago
Prove a/b is less than b/a when 0 &lt; a &lt;b
enyata [817]

\frac{a}{b} < \frac{b}{a} \implies \\ a^2 < b^2 \implies a-b

We are given that 0<a<b, which means that 0>-a>-b if you multiply it by -1, which means what's given by our inequality is true and we are done.

7 0
3 years ago
I need help on finding the LCD
Kipish [7]
The LCD of the denominator is 12. For this one it is possible to just 'see' that 6 is a divisor of 12. When in doubt, you can always get an answer by just multiplying the denominators. (ie., you can turn 11/12 into 66/72 and 1/6 into 12/72).

In this case, the easiest is to convert 1/6 into 2/12. (multiply both numbers by 2).

Then it becomes:

9\frac{11}{12} - 9 \frac 2{12} = 9 \frac{11-2}{12} - 9 = \frac9{12} = \frac34
 


6 0
2 years ago
Am i right or am i wrong
frutty [35]

Answer:

you're right

:)

6 0
2 years ago
Solve -8/5 x - 6 = -54
Musya8 [376]
The equation is false so no solution.

Simplify 8/5 * -6 to -48/5

Move the negative sign to the left

Simplify brackets

Since 48/5 = -54 its false so no answer
4 0
2 years ago
Read 2 more answers
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