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ella [17]
3 years ago
5

Tom has read the first 40 pages of a book. He plans to read another 12 pages each day Write an equation that represents the rela

tionship between the total number of pages, p, and the number of days he has been reading , d.
Mathematics
1 answer:
fenix001 [56]3 years ago
4 0

Answer:

p=12d+40

Step-by-step explanation:

-This is a linear relationship problem modeled as:

y=mx+c

where:

  • y is the quantity at variable x
  • m is the slope
  • c is the constant of increment or decrement.
  • x is the variation variable.

Given the constant 40, and 12 pages per day as the rate of change we substitute our variables in the form of the formula above as:

p=12d+40

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Write the equation in standard form. Identity the center and radius.<br> x² + y2 + 8x-4y-7=0
lorasvet [3.4K]

Answer:

equation;

(x + 4) {}^{2}  + (y - 2) {}^{2}  = 27

Center (-4,2)

Radius is

3 \sqrt{3}

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

(x - h) {}^{2}  + (y - k)  {}^{2}  =  {r}^{2}

Where (h,k) is center

r is the radius

So first we group like Terms together

{x}^{2}  + 8x  +  {y}^{2}  - 4y - 7 = 0

Add 7 to both sides

{x}^{2}  + 8x +  {y}^{2}  - 4y = 7

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Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

(\frac{8}{2} ) {}^{2}  = 16

and

( - \frac{4}{2} ) {}^{2}  = 4

so we have

{x}^{2}  + 8x + 16 +  {y}^{2}  - 4y + 4y = 7 + 16 + 4

{x}^{2}  + 8x + 16  +  {y}^{2}  - 4y + 4y = 27

(x + 4) {}^{2}  +  (y  - 2) {}^{2}  = 27

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

\sqrt{27}  = 3 \sqrt{3}

So the radius is 3 times sqr root of 3.

8 0
2 years ago
Identify the domain of the function shown in the graph.
ivanzaharov [21]

For this case, we find the equation of the line, for this we look for points where the line passes:

(x1, y1) = (- 2,0)\\(x2, y2) = (- 10, -4)

We found the slope:

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Thus, the equation of the line is:

y = \frac {1} {2} x + b

We substitute a point to find "b":

0 = \frac {1} {2} (- 2) + b\\0 = -1 + b\\b = 1

Finally:

y = \frac {1} {2} x + 1

Now, the domain is given by all the values for which the function is defined.

It is observed that "x" can take any value, that is, it is defined for all real numbers.

Answer:

Option A

4 0
3 years ago
WHAT IS THE PRIME FACTORIZATION FOR ONE BILLION
Ivan
1 billion is=1,000,000,000
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How do i simplify 3√96×√98
Vera_Pavlovna [14]
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aniked [119]

Answer:

Answer is x=-2

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