B.) (2x + 3)(3x + 2)
C.) (2x + 6)(3x + 1)
D.) (6x + 1)(6x + 1)
The correct answer is option B.) (2x + 3)(3x + 2).
Given that the factored form of 6 + 13x + 6 is equivalent to which of the following.
A.) (x + 4)(x + 9)
B.) (2x + 3)(3x + 2)
C.) (2x + 6)(3x + 1)
D.) (6x + 1)(6x + 1)
To determine the factored form of the quadratic expression 6 + 13x + 6, we can apply the factoring technique. We are looking for two binomials in the form (px + q)(rx + s) that, when multiplied, result in the original expression.
To factor the expression, we need to find two numbers whose product is equal to 6 * 6 = 36 and whose sum is equal to 13.
The numbers that satisfy these conditions are 4 and 9.
Therefore, the factored form of the expression is:
(2x + 3)(3x + 2)
So, the correct answer is option B.) (2x + 3)(3x + 2).
Learn more about factoring quadratic expressions click here: brainly.com/question/14680354
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1/5
5
16
Answer:
The constant of variation is k=5
Step-by-step explanation:
Proportions
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
Where k is the constant of proportionality.
We know R varies directly with S. Their relationship is:
We also have when S=16, R=80. Thus:
Solving for k:
The constant of variation is k=5
In the triangle given, the missing angle z = 48°
The sum of angles in a right-angle triangle is 180°. To calculate a missing angle in the right angle triangle, we have to sum up the given angles and equate it to 180°.
From the given information, we have:
90° + 42° + z = 180°
132° + z = 180°
z = 180° - 132°
z = 48°
Therefore, we can conclude that the missing angle z = 48°
Learn more about calculating the sum of angles in a triangle here:
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