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cricket20 [7]
3 years ago
5

Write the equation of the line parallel to the line 4x y = -1 and passing through the point (5,0).

Mathematics
1 answer:
Illusion [34]3 years ago
6 0
4x + y = -1
y = -4x -1

slope of the parallel line
m = -4
General equation of the parallel line
y = -4x + c
if this passes through (5,0)
0 = (-4*5) + c
c = 20

so the equation is
y = -4x + 20
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Michael must build a rectangular storage shed. He wants the length to be 2.5 ft less than twice the width.
Alenkasestr [34]

Answer:

<h2>Width = 7.6 ft.</h2><h2>Length = 12.7 ft.</h2>

Step-by-step explanation:

Perimeter of a rectangle (P) = 2L + 2W

where

P = 40.6 ft.

L = 2W-2.5

plugin values into the formula:

40.6 = 2(2W-2.5) + 2W

40.6 = 4W - 5 + 2W

40.6 + 5 = 6W

W = 45.6 / 6

W = 7.6 ft.

L = 2W-2.5

L = 2(7.6) - 2.5

L = 12.7 ft.

proof:

P = 2(12.7) + 2(7.6)

P = 40.6 ft.

8 0
4 years ago
4.Cost of 10 book is ₹800.What is the cost of 50 such books
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<u>₹4000</u>

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₹800/10 books

₹80/1 book

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3 years ago
Find the exact value or type<br> "undefined"<br> tan(-315)<br> [?]
babymother [125]

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7 0
3 years ago
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suppose the depth of the tide in a certain harbor can be modeled by y = 20 + 5 cos (pi/6 t), where y is the water depth in feet
Rom4ik [11]

Answer:

- high tide occurs at 12 noon and 12 midnight

- Low tide occurs at 6 a.m and 6 p.m

- maximum depth value = 20 ft

- Minimum depth value = 15 ft

Step-by-step explanation:

The depth is modelled as;

y = 20 + 5 cos (πt/6)

We are told that t = 0 represents 12:00 midnight.

This is high tide because at t = 0, the cos function will be at it's maximum value of 1 since cos 0 = 1.

Max depth value is;

y = 20 + 5(0)

y = 20 ft

Minimum depth value will be the low tide and it will be when the cos function is equal to -1.

Thus;

y = 20 + 5(-1)

y = 15 ft

Since t represents number of hours and since at 12 midnight, t = 0, thus; high tide will occur again at;

12 noon

Also, let's check for low tide.

Let's try t = 6 which means 6 a.m

Thus;

y = 20 + 5 cos (π(6)/6)

y = 20 + 5 cos π

Cos π has a value of -1

Thus;

y = 20 + 5(-1)

y = 20 - 5

y = 15 ft

Thus;

Low tide occurs at 6 a.m and 6 p.m

5 0
3 years ago
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