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bonufazy [111]
3 years ago
9

What is the slope of the graph below?

Mathematics
1 answer:
horrorfan [7]3 years ago
6 0

Answer:

-3/2

Step-by-step explanation:

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The diagonals of rectangle. QRST intersect at P. Given that m&lt;PTS = 34° and QS=10 , find QP.<br>​
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QP = 5

Step-by-step explanation:

since QRST is a rectangle, and QRST intersect at P, then QTS and QRS are right  triangles.

because <T is a right angle, line TR passes through the midpoint of line QS, therefore 2(QP) = QS

10/2 = 5

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there are seven performers who will present their comedy acts this weekend at a comedy club. How many different ways are there t
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Milk that has been boiled and then covered keeps longer than fresh milk. explain​
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A 12 foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the
ira [324]

Using Pythagoras theorem, the top of the ladder moving down when the foot of the ladder is 3 feet from the wall is of -0.518 feet/sec.                      

Let distance from the wall to the foot of the ladder is 'x' feet and the height of the top of the ladder is 'y' feet.

Pythagoras theorem, x^{2} + y^{2} = (12)^{2}       --->(1)

Given,\frac{dx}{dt}= 2feet/second   at x=3

Put x=3 in Pythagoras theorem equation (1)

(3)^{2} + y^{2} = 144

         y^{2} = 144 - 9

        y^{2}  =  135

        y = 11.61

Derive equation (1) w.r.t to 't'

2x\frac{dx}{dt} + 2y\frac{dy}{dt} = 0                ---->(2)

substitute the value of 'x', 'dx/dt' and 'y' in equation (2), we get the fast of the top of the ladder moving down when the foot of the ladder is 3 feet from the wall

2(3)(2) + 2 (11.61)\frac{dy}{dt}  = 0

12 + 23.22 \frac{dy}{dt}  = 0

                  \frac{dy}{dt}= \frac{-12}{23.22}

                  \frac{dy}{dt} = -0.518

Hence,  using Pythagoras theorem the top of the ladder moving down when the foot of the ladder is 3 feet from the wall is of -0.518 feet/sec.  

Learn more about Pythagoras theorem here

brainly.com/question/21511305  

#SPJ4    

     

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