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Aleks04 [339]
3 years ago
14

Find the equation of a line parallel to y - 5 = 6x - 10 that passes through the point (4, 10). (answer in slope-intercept form)

Mathematics
1 answer:
UNO [17]3 years ago
5 0
Our equation is y = 6x - 5 when simplified. In order to be parallel, the equation for the answer must also have a slope of 6x. This rules out options C and D.

Now just plug in 4 for the x-value for each one to get your answer. A little mental math and I can already tell you it's option A.

6(4) - 14 = y
24 - 14 = y
10 = y

10 = 10

Whereas for option B:

6(4) + 14 = y
24 + 14 = y
38 = y

38 ≠ 10

Option A is your answer. 




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6/4 would be the fraction.  In simplest form, it is 3/2.  This gives you 1 1/2.
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What is the equation of the line that passes through the point (–5,–6) and has a slope of zero?
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Answer:

y = -6

Step-by-step explanation:

y = mx +  b

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A water tank has a radius 5 feet and height 11 feet. How much water can it hold?
Semmy [17]

The water tank hold 863.50 ft^{3} of water.

<h3>What is Volume of cylinder?</h3>

The volume of a cylinder is the number of unit cubes (cubes of unit length) that can be fit into it. It is the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it.

The water tank is in the shape of cylinder whose radius = 5 feet

and, height= 11 feet

Volume of water tank =\pi r^{2} h

                                    = 3.14 * 5 * 5 * 11

                                    = 3.14*25*11

                                   = 863.50 ft^{3}

Hence the water tank hold 863.50 ft^{3} of water.

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2 years ago
What is the measure of this angle?
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Answer: D. 170

Step-by-step explanation:

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A dinner table is a perfect circle with a diameter of 8 feet. With dinner plates that each a diameter of exactly 1 foot, how muc
Harlamova29_29 [7]

The area of the tablecloth showing is approximately 45.55 square feet

<h3>What is an area?</h3>

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called as the area of the circle.

It is given that:-

The diameter of the dinner table, D = 8 feet

The diameter of each plate, d = 1 feet

The number of people at the dinner table = 6 people

The number of plates = 6 plates

The area of the table cloth, A₁ = π·D²/4

∴ A₁ = π × 8²/4

The area covered by the 6 plates, A₂ = 6·π·d²/4

A₂ = 6 × π × 1²/4

Let 'A' represent the area of the tablecloth showing when the table is set for six people, we have;

A = A₁ - A₂

∴ A = π × 8²/4 - 6 × π × 1²/4 ≈ 45.55 ft.²

Therefore the area of the tablecloth showing when the table is set for six people, A ≈ 45.55 ft.²

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