Answer:
v = 28/29
Step-by-step explanation:
- 9 - (18v - 5) = 2(7v - 16) - 3v
- 9 - 18v + 5 = 14v - 32 - 3v
- 18v - 14v + 3v = - 32 - 5 + 9
- 29v = - 28
v = -28 / -29
v = 28/29
The equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Based on the calculations, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5²
The equation of a circle.
Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center.
r is the radius of a circle.
The midpoint of the given points represents the center of this circle:
h = (4 + 4)/2 = 4
k = (5.5 + 10.5)/2 = 8
Next, we would determine the radius by using the distance formula for coordinates:
r = √[(x₂ - x₁)² + (y₂ - y₁)²]
r = √[(4 - 4)² + (10.5 - 5.5)²]
r = √[0² + 5²]
r = √25
r = 5 units.
Therefore, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Learn more about circle here: brainly.com/question/12823137
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Answer:
<h2>x = 3.1</h2>
Step-by-step explanation:
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<u>To solve first take logarithm to both sides</u>
That's
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But
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So we have
<u>Write 1200 as a number with the factor 100</u>
That's
1200 = 100 × 12
So we have
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<u>Using the rules of logarithms</u>
That's
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Rewrite the expression
That's
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x = 3.079
So we have the final answer as
<h3>x = 3.1 to one decimal place</h3>
Hope this helps you
2/5 ≥ x - (4/5). add 4/5 to each side
6/5 ≥ x
