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cupoosta [38]
3 years ago
14

On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3).

Mathematics
2 answers:
Valentin [98]3 years ago
8 0

9514 1404 393

Answer:

  (b)  x +2y = 8

Step-by-step explanation:

The only offered line that includes the given point is ...

  x +2y = 8

__

We can check the other choices:

  x + 2y = 2 +2(3) = 2+6 = 8 . . . matches B (not A)

  2x +y = 2(2) +3 = 4+3 = 7 . . . . not a choice

_____

<em>Getting there from scratch</em>

The standard form equation for a line can be written from ...

  (y2 -y1)x -(x2 -x1)y = constant

  (-4 -0)x -(4 -(-4))y = constant . . . . using the given points (-4, 0) and (4, -4)

  -4x -8y = constant

For standard form, we need the leading coefficient to be positive, and we need common factors removed. We can get there by dividing by -4.

  x +2y = constant

The value of the constant will be whatever it takes for the given point to lie on the line. For (x, y) = (2, 3) to be a solution, we must have ...

 x +2y = (2) +2(3) = constant = 8

The desired line has the equation ...

  x +2y = 8

Virty [35]3 years ago
5 0

Answer:

B on edge

Step-by-step explanation:

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Thirty elves would like to build a skating ring so they can all use it at the same time. Santa tells them, they need at least 40
Delicious77 [7]

Answer:

The Possible dimension of the ring could be;

20 ft × 60 ft

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48 ft × 25 ft

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Step-by-step explanation:

Given:

Number of skaters = 30

Area for each skater = 40 sq ft

We need to find the dimension of rectangular ring the are going to build.

Now we know that they building the skating ring such that they all can use at same time.

Hence if the all use at same time then we will find the total area first.

Total area can be calculated by multiplying Number of skaters with area required for each skaters.

Framing the equation we get;

Total area = 30\times 40 = 1200 \ ft^2

Hence The total area of the rectangular ring would be 1200 sq. ft.

Now we know that Total area is equal to product of length and width.

length\times width =1200ft^2

1200 can be written as = 20 × 60, 25 × 48, 30 × 40,60 × 20,48 × 25,40 × 30

Hence the Possible dimension of the ring could be;

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30 ft × 40 ft

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3 0
3 years ago
This is due tonight please help
CaHeK987 [17]

Answer:

81x^4

Step-by-step explanation:

With exponents, whatever is in the parentheses is multiplied by <u>itself</u> however many times the exponent says.

In this case, you would be solving 3 x 3 x 3 x 3 and (x)^4.

3^4 = 81 with x^4 gives you:

81x^4

Hope this helps you :)

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These equations represent the number of bacteria in four different dishes as a function of time, t, in days. Which equation repr
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<u>The growth factor</u>:

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<u>Let's Analyze our choices:</u>

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<u />

<u>Answer: d(t)</u>

<u></u>

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