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emmasim [6.3K]
3 years ago
14

1.Solve the following system of equations:

Mathematics
1 answer:
Yuri [45]3 years ago
7 0
C. infinitely many solutions
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A man flies a kite at a height of 15 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. How fast
Misha Larkins [42]

Answer:

4.4 ft/s

Step-by-step explanation:

Height = 15ft

Rate= 5 ft/s

Distance from the man to the kite= 32ft

dh/dt = 5 ft/s

h = √32^2 - 15^2

h = √ 1025 - 225

h = √800

h = 28.28ft

D = √15^2 + h^2

dD/dt = 1/2(15^2 + h^2)^-1/2 (2h) dh/dt

= h(225 + h^2)^-1/2 dh/dt

= (h / √225 + h^2)5

= (28.28 / √225 + 28.28^2)5

= (28.28 / √1024.7584)5

= (28.28/32)5

= 0.88*5

= 4.4 ft/s

3 0
4 years ago
Rectangle CDEF is rotated 45 in clockwise direction . To which angle of the image does angle D correspond? A-angle C’ B-angle D’
Andrej [43]

Answer:

the answer is angle D'

Step-by-step explanation:

the second option

4 0
3 years ago
Read 2 more answers
Which has a greater slope, a horizontal line or a vertical line?
AfilCa [17]

Answer:

A

Step-by-step explanation:

The slope of a vertical line is undefined

The slope of a horizontal line is 0

6 0
3 years ago
BKS at a piece of paper along as diagonal, as shown below, towing two tendes
weqwewe [10]

its the second option because it is clearly shown and described on the screen

5 0
3 years ago
Factor the following trinomial. (Hint: Solve the equations first.)<br><br> x²-2x-2
Alex_Xolod [135]

Answer:

(x-(1+\sqrt{3}))(x-(1-\sqrt{3}))  

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2} -2x-2=0  

so

a=1\\b=-2\\c=-2

substitute in the formula

x=\frac{-(-2)(+/-)\sqrt{-2^{2}-4(1)(-2)}} {2(1)}

x=\frac{2(+/-)\sqrt{12}} {2}

x=\frac{2(+/-)2\sqrt{3}} {2}

x_1=\frac{2(+)2\sqrt{3}} {2}=1+\sqrt{3}

x_2=\frac{2(-)2\sqrt{3}} {2}=1-\sqrt{3}

therefore

x^{2} -2x-2=(x-(1+\sqrt{3}))(x-(1-\sqrt{3}))  

5 0
3 years ago
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