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Firdavs [7]
3 years ago
5

What is an equation of the line that passes through the point (−4,8) and is parallel to the line x+y=6?

Mathematics
2 answers:
Lorico [155]3 years ago
7 0

Answer:

y = - x + 4

Step-by-step explanation:

x + y = 6

y = - x + 6

Slope= -1

Use the same slope since the two lines are parallel to each other.

Point-slope formula:

y - 8 = -1 (x - - 4)

y - 8 = -1 (x + 4)

y - 8 + 8 = -x - 4 + 8

y = - x + 4 (Slope-intercept form)

Alenkinab [10]3 years ago
5 0
Hope this helped you

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A fountain, 3 ft in diameter, sits in the center os a circular duck pond. The pond measures 3 ft from the fountain to its edge.
umka2103 [35]

Answer:

56.55\ ft^2

Step-by-step explanation:

We know that the diameter of the fountain is 3 feet and that it is in the center of the pond.

We know that the area of a circumference is:

\pi(r)^2

where r is the radius of the circumference.

further

d = 2r

Where d is the diameter of the circumference.

Then the radius r_1 of the source is 1.5 ft.

The radius r_2 of the pond is 1.5 + 3 = 4.5 ft

Finally the area of the pond is equal to the area of the ring that is shown in the image

A = \pi(r_2)^2 - \pi (r_1)^2\\\\A = \pi(4.5)^2 - \pi(1.5)^2\\\\A = \pi(4.5^2 - 1.5^2)\\\\A = 18\pi = 56.55\ ft^2


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3 years ago
I need help solving these equations....
Harlamova29_29 [7]
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7 0
3 years ago
Negation of all owls fly?
Reptile [31]
Looking at this in terms of sets, let's call O the set of all owls, and F the set of all things that can fly. What this original statement is saying every animal that's a member of the set of all owls is also a member of the set of all things that can fly, or in other words, O⊂F (O is a subset of F). Negating this tells us that, while there's <em>at least one</em> element of O that also belongs to F, O is not contained entirely in F (O⊆F, in notation), so a good negation or our original statement might be:

<em>Not all owls can fly.</em>
8 0
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lapo4ka [179]

Answer:65

Step-by-step explanation:

3 0
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What is 35.7 divided by 0.07 ?
adelina 88 [10]

Answer:

35.7 / 0.07 = 510

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explanation-

I don't know how to explain but it's right!

7 0
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