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Scilla [17]
3 years ago
5

X is directly proportional with the square root of Y. If X=128 and Y=16 find: X when Y=36 B) Y when X=48 ( HELP ASAP!)

Mathematics
1 answer:
Tems11 [23]3 years ago
7 0

x = sqrt{y}k

K is the constant of proportionality.

128 = sqrt{16}k

128 = 4k

128/4 = k

32 = k

x = sqrt{y}k

x = sqrt{36}•32

x = 6 • 32

x = 192

Find y when x = 48.

x = sqrt{y}k

48 = sqrt{y}32

48/32 = sqrt{y}

(48/32)^2 = [sqrt{y}]^2

2.25 = y

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skad [1K]

Answer:

The unit vector u is (-5/√29) i - (2/√29) j

Step-by-step explanation:

* Lets revise the meaning of unit vector

- The unit vector is the vector ÷ the magnitude of the vector

- If the vector w = xi + yj

- Its magnitude IwI = √(x² + y²) ⇒ the length of the vector w

- The unit vector u in the direction of w is u = w/IwI

- The unit vector u = (xi + yj)/√(x² + y²)

- The unit vector u = [x/√(x² + y²)] i + [y/√(x² + y²)] j

* Now lets solve the problem

∵ v = -5i - 2j

∴ IvI = √[(-5)² +(-2)²] = √[25 + 4] = √29

- The unit vector u = v/IvI

∴ u = (-5i - 2j)/√29 ⇒ spilt the terms

∴ u = (-5/√29) i - (2/√29) j

* The unit vector u is (-5/√29) i - (2/√29) j

8 0
3 years ago
What is the value of x?
BlackZzzverrR [31]
We can use the Pythagorean theorum

a^2+b^2=c^2

c^2 is the length of the longest side squared

so 

6^2 + b^2 = 10^2

36+ b^2 = 100
-36               -36

b^2 = 64

b = 8

b is the same thing as your "x", so x = 8
7 0
3 years ago
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Help me pls its simple (hopefully)<br><br> pls dont guess
Rzqust [24]

Answer:

15.8 in.

Step-by-step explanation:

63.2 / 4 = 15.8

5 0
3 years ago
Which of the following is the perimeter of a triangle with side lengths of 7 inches, 8 inches, and 13 inches?
Juli2301 [7.4K]

Answer: p=28 inches

Step-by-step explanation:

3 0
3 years ago
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What is the solution to the system of equations below?
Vanyuwa [196]

Answer:

A. (–8, 2)

Step-by-step explanation:

(1)       y =  ½x + 6  

(2)       y = -¾x –  4     Set (1) = (2)  

½x +   6 = -¾x –  4     Multiply each side by 4

2x  + 24 = -3x – 16     Add 16 to each side

2x  + 40 = -3x              Subtract 2x from each side  

        40 = -5x              Divide each side by -5

(3)       x = -8                 Substitute (2) into (1)

          y = ½(-8)  +6

             = -4 + 6

             =  2

The solution to the system of equations is (-8 ,2).

You can see the graphs of the two functions in the figure below. The two lines intersect at (-8, 2).

Check:

2 = ½(-8) + 6     2 = -¾(-8) - 4

2 = -4 +6           2 = 6 - 4

2 = 2                 2 = 2

8 0
3 years ago
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