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masha68 [24]
2 years ago
14

A proportional relationship is formed when y=16 and x=-4 what is the value of x when y=4?

Mathematics
1 answer:
Mnenie [13.5K]2 years ago
8 0

Answer:

-1

Step-by-step explanation:

The correct model to use for a proportional relationship is y = kx, where k is the constant of proportionality.

If y = 16 when x = -4, then this model becomes 16 = k(-4).  Solving for k, we get k = -16/4, or k = -4.

Thus, the specific formula to use here is y = -4x.

Now if y = 4, 4 = -4x, and x must therefore be x = -1.

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cupoosta [38]

Answer:

5*sqrt3

Step-by-step explanation:

The vector AB= (0-(-1), 4-2,6-3) AB= (1,2,3)

The modul of AB is sqrt(1^2+2^2+3^2)= sqrt14

The vector AC is (1-(-1), 1-2, 2-3)= (2,-1,-1)

The modul of B is sqrt (2^2+(-1)^2+(-1)^2)= sqrt6

AB*AC= modul AB*modul AC*cosA

cosA=( 1*2+2*(-1)+3*(-1))/ sqrt14*sqrt6= -3/sqrt84=

sinB= sqrt (1- (-3/sqrt84)^2)= sqrt75/84= sqrt 25/28= 5/sqrt28

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6 0
2 years ago
Factorise 125x^3 -27y^3
telo118 [61]

Answer:

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Step-by-step explanation:

125x³ - 27y³ is a difference of cubes and factors in general as

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Given

125x³ - 27y³

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= (5x - 3y)((5x)² + (5x)(3y) + (3y)²)

= (5x - 3y)(25x² + 15xy + 9y²)

6 0
2 years ago
A photo of a beetle in a science book is increased to 705​% as large as the actual size. If the beetle is 14 ​millimeters, what
uranmaximum [27]

Answer:

11.27cm

Step-by-step explanation:

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3 0
3 years ago
Can u plz help me ok i need help
Yanka [14]

Answer:

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Step-by-step explanation:

so the system is 188 and there is one sprinkler every 4 feet

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7 0
3 years ago
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Working is attached :)

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