<span>log(x-3)+log(x) = 2 + log(x+2)
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log[(x-3)x] - log(x+2) = 2
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log[(x^2-3x)/(x+2)] = 2
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(x^2-3x)/(x+2) = 2^2
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x^2-3x = 4x+8
x^2 - 7x - 8 = 0
Factor:
(x-8)(x+1) = 0
Positive solution:
x = 8</span>
Answer:
The probability that this occurs is 25%, as 3/6 (chance to roll an odd number) multiplied by 1/2 (chance to flip a head) is .25.
Step-by-step explanation:
Answer:
(d) 30 units²
Step-by-step explanation:
The area of the rectangle is the product of the length and width. It is equal to the number of unit squares that fill the rectangle.
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By counting grid squares or subtracting coordinates, we can see this rectangle is 3 units wide and 10 units high. Its area will be ...
A = WH
A = (3 units)(10 units) = 30 units²
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<em>Additional comment</em>
You can also count the three columns of 10 shaded squares, or the 10 rows of 3 shaded squares. Either way, you will count 30 square units covering the rectangle.
The equations that can be used to find the lengths of the legs of the triangle are as follows:
- 100 = (x + 2)² + x²
- 24 = 0.5 × (x + 2)(x)
- x² + 2x - 48 = 0
<h3>How to find the equation of a right triangle?</h3>
The equation that can be used to find the length of the leg of the right triangle uses Pythagoras theorem,
Therefore,
c² = a² + b²
where
- c = hypotenuse side
- a and b are the other legs
Therefore,
10² = (x + 2)² + x²
100 = (x + 2)² + x²
Therefore, using the area of a triangle,
area of a triangle = 1 / 2 bh
where
Therefore,
area of the triangle = 1 / 2 × (x + 2)(x)
24 = 0.5 × (x + 2)(x)
24 = x² + 2x / 2
cross multiply
48 = x² + 2x
x² + 2x - 48 = 0
learn more on equation here: brainly.com/question/14992132
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There are 4 quarts in a gallon. so 30 divided by 4= 7.5 gallons
so there for 9 gallons is the greater than 30 quarts
