All categories

2 years ago

Y varies directly as x and y = 9 when x = 72

Mathematics

1 answer:

PIT_PIT [208]2 years ago

6 0

Answer:

y = $\frac{x}{8}$

Step-by-step explanation:

since y varies directly as x, then the equation relating them is

y = kx ← k is the constant of variation

to find k use the given condition y = 9 when x = 72

k = $\frac{9}{x}$ = $\frac{9}{72}$ = $\frac{1}{8}$ , hence

y = $\frac{1}{8}$ × x = $\frac{x}{8}$

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1 year ago

Find the zero(s) of each function algebraically. f(x) = 8x-16

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2 years ago

The perimeter of the original rectangle is ______

sergey [27]

Answer:

perimter of original rectangle = 17. 6 mm
side length of the enlarged rectangle = 23. 22 mm
perimeter of the enlarged rectangle = 95. 04 mm

Step-by-step explanation:

PERIMETER OF ORIGINAL RECTANGLE

Length of original rectangle = 4.5 mm
Width of original rectangle = 4.3 mm

perimeter = 2 × ( length + width)

= 2 × ( 4.5 + 4.3)

= 2 × 8.8

= 17. 6 mm

SIDE LENGTH OF ENLARGED RECTANGLE

Width of original rectangle = 4. 5 mm
Width of enlarged rectangle = 24.3 mm

Enlargement factor = 24.3 / 4.5

= 5.4

Length of original rectangle = 4.5 mm
Enlargement factor = 5.4

Side length of enlarged rectangle

= original length × Enlargement factor

= 4.3 × 5.4

= 23. 22 mm

PERIMTER OF ENLARGED RECTANGLE

= 2 × ( enlarged ength + enlarged breadth)

= 2 × (23. 22 + 24. 3 )

= 95. 04 mm

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2 years ago