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Scorpion4ik [409]
3 years ago
6

Combine these radicals. –66 –54

Mathematics
2 answers:
svet-max [94.6K]3 years ago
5 0

Answer:

-100

Step-by-step explanation:

Reptile [31]3 years ago
5 0

Answer:

-120

Step-by-step explanation:

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of a parabolic arch and is to have a span of 100 feet. The height of the arch a distance of 40 feet from the center is to be 10
JulsSmile [24]

Answer:

y = -0.11x^2 + 1.111x

y = 28 ft  .... Height at center

Step-by-step explanation:

Given:-

- The span of the arc is = 100 ft

- The height of the arch is 40 ft at 10 ft from center.

Find:-

- The equation of parabolic arch and the height of the arch at center.

Solution:-

- We will take the height y as a function of width x of the parabolic arch. The general equation of the arch is such that it passes through origin. The equation is given in the form as:

                               y = f(x) = ax^2 + bx

Where,

           a, b, and c are constants to be determined.

- We will use the condition i.e the span of entire arch is 100 ft. So we could say that y = 0 for x = 100 ft. Then we have:

                               0 = f(100) = a(100)^2 + b(100)   ..... 1

- Using second condition i.e y = 10 ft at 40 ft from center. Since, due to symmetry we know that center lies at x = 50 ft. Then y = 10 ft at x = 10 ft. The condition can be expressed in the form:

                               10 = f(10) = a(10)^2 + b(10)  ..... 2

- Solving the 2 Equations simultaneously, we have:

                               0 = a(100)^2 + b(100)

                               10*10 = a*10*(10)^2 + b(10)*10

                               100 = a(10)^3 + b(100)

- Subtract both equations:

                               100 = a*(10^3 - 100^2)

                               a = 100 / ( 1000 - 10000)

                               a = -0.11

- Then using a = -0.11 evaluate b:

                               -1.11 + 10b = 10

                                b = 11.11 / 10 = 1.111

- The equation of the parabola is:

                                y = -0.11x^2 + 1.111x                                

-The height of the arch at center where x = 50 ft.

                                y = -0.11(50)^2 + 1.111(50)

                                y = -27.5 + 55.5

                                y = 28 ft                                                        

- The height of the parabolic arch at center is given as y = 28 ft.

4 0
4 years ago
A cargo truck travels at 75 mi/h. There are two drivers that keep the
ra1l [238]

Answer:

750

Step-by-step explanation:

What is the empirical formula of a carbon- oxygen compound, given that a 95.2 g sample of the compound contains 40.8 g of carbon and the rest oxygen.

4 0
3 years ago
Helppppppppppppppppmeeeeeeeeeeeeeeeeeeee
KonstantinChe [14]

Answer:

<em>hope </em><em>this </em><em>answer </em><em>helps </em><em>you </em><em>dear.</em><em>.</em><em>.</em><em>take </em><em>care!</em>

5 0
2 years ago
Find the median of each set of data.
dedylja [7]

Answer:

1 - 7

2 - 5

3- 27.5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which expression is equivalent to 7 (x + 4)? 28 x 7 (x) + 7 (4) 7 (x) + 4 11 x
Rama09 [41]

Answer:

i'm guessing you're asking which expression is the same as 7(x+4)

i don't know what the other numbers listed are suppose to mean, but when expanded, 7(x+4)=7x+28

anything added together, multiplied together, etc, that equals 7x+28 is your answer

5 0
3 years ago
Read 2 more answers
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