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Nookie1986 [14]
2 years ago
14

I need help with this i need to find the grey area

Mathematics
2 answers:
Soloha48 [4]2 years ago
7 0

Answer:

y < 4x - 2

Step-by-step explanation:

Determine the equation of the line:

  • Choose two points on the line: (1, 2) and (0, -2)
  • Calculate the slope
    Slope  = change in y ÷ change in x = (-2 -2) ÷ (0 - 1) = -4 ÷ -1 = 4
    Therefore, y = 4x + b (where b is the y-intercept)
  • From inspection, y-intercept = -2
  • So equation of the line: y = 4x - 2

A solid line means the signs ≤ or ≥ should be used (inclusive boundary)

A dotted line means the signs < or > should be used (non inclusive boundary).

> is points above the boundary line

< is points below the boundary line

Therefore, the grey shaded area is y < 4x - 2

IrinaVladis [17]2 years ago
6 0

Answer:

y < 4x - 2

Step-by-step explanation:

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Step-by-step explanation:

Opposite angles of a cyclic quadrilateral are supplementary, so:

3x+25+6x+20=180\\\\9x+45=180\\\\9x=135\\\\x=\boxed{15}

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2 years ago
What is the simplified form of the quantity y-squared plus 7y plus 12 over the quantity y-squared plus 8y plus 15
Burka [1]
Firstly, let's factorise each equation individually - to do this, find 2 numbers that when summed add to the value of the second term, and when multiplied give the value of the third term.

7 and 12 give us 4 and 3 (4+3=7, 4*3=12) -- 8 and 15 give us 5 and 3 (5+3=8, 5*3=15)

Now we can rewrite these equations as (y+4)(y+3) and (y+5)(y+3) respectively.

Putting this in a fraction: (y+4)(y+3)/(y+5)(y+3) -- We can clearly see that there is a y+3 on both sides of the fraction, and given there are no terms outside of the brackets being multiplied, we can directly cancel.

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3 years ago
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Veronika [31]

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Step-by-step explanation:

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3 years ago
What is the volume of a sphere with a radius of 3 inches? 12π cubic inches 24π cubic inches 36π cubic inches 48π cubic inches
Anni [7]

Answer:

The answer is

<h2>36π cubic inches</h2>

Step-by-step explanation:

Volume of a sphere is given by

<h3>V =  \frac{4}{3} \pi  {r}^{3}</h3>

where r is the radius

From the question

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Substitute the value into the above formula and solve for the volume

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We have the final answer as

<h3>36π cubic inches</h3>

Hope this helps you

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stealth61 [152]

-8, -3, -2.5, 0, 1/4, 6

3 0
3 years ago
Read 2 more answers
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