4b² + 8b + 3 = 0
4b² + 2b + 6b + 3 = 0
2b(2b + 1) + 3(2b + 1) = 0
(2b + 3)(2b + 1) = 0
b = -1/2 or b = -3/2
Answer:
C = (13.75 * B * H)/3750
Step-by-step explanation:
The area of a triangle is represented by the equation A = 1/2 * B * H
Every time another 3750 square feet is covered, $27.50 is spent. So, we can represent the cost using the equation C = A/3750 * 27.50
Plugging in the base and height, C = (1/2 * B * H * 27.50)/3750
C = (13.75 * B * H)/3750
The value of x that makes m║n is 40°
<h3>Line of transverse on parallel lines: </h3>
In geometry, the line that intersects two straight lines at distinct points is known as a transversal.
<h3>Corresponding angles: </h3>
The angles that are formed when two parallel lines are intersected by a third line i.e a transversal are corresponding angles.
Note:
Two corresponding angles are formed by a transversal with two parallel lines that are equal
Here we have
The angle made by the intersecting line with line m is 120°
And the angle made by the same line with line n is 3x°
Let us assume that m║n
From above observations
The given angle are corresponding angles
=> 3x° = 120°
=> x° = 40°
Therefore,
The value of x that makes m║n is 40°
Learn more about the Line of transverse at
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Answer:
243 = 3⁵
Step-by-step explanation:
Firstly we will find the factors of 243. On calculating it see that the factors of 243 are 3 x 3 x 3 x 3 x 3.
or
243 = 9 x 9 x 3
We need to write 243 as the product of primes.
The number that divides itself or 1 are prime numbers.
3 is the only prime number here such that,
243 = 3⁵
Hence, this is the required solution.
Given the center 
and the radius 
of a circle, its equation is
In your case, the center is (-4,0), and the radius is 2. Plug these values into the generic formula and you'll get the equation.
