IDNLearn.com offers a user-friendly platform for finding and sharing answers. Ask any question and receive comprehensive, well-informed responses from our dedicated team of experts.
Sagot :
To find the missing factor [tex]\( B \)[/tex] that satisfies the equation
[tex]\[ -35x^6 = (-5x^2)B, \][/tex]
we can follow these steps:
1. Start with the given equation:
[tex]\[ -35x^6 = (-5x^2)B. \][/tex]
2. Isolate [tex]\( B \)[/tex]:
To isolate [tex]\( B \)[/tex], we need to divide both sides of the equation by [tex]\(-5x^2\)[/tex]. This gives us:
[tex]\[ \frac{-35x^6}{-5x^2} = B. \][/tex]
3. Simplify the fraction:
Simplify the left-hand side of the equation:
[tex]\[ \frac{-35x^6}{-5x^2} = \frac{35x^6}{5x^2}. \][/tex]
4. Divide the coefficients:
Divide [tex]\( 35 \)[/tex] by [tex]\( 5 \)[/tex]:
[tex]\[ \frac{35}{5} = 7. \][/tex]
5. Divide the variables:
For the variable part, apply the rule of exponents [tex]\( \frac{x^a}{x^b} = x^{a-b} \)[/tex]:
[tex]\[ \frac{x^6}{x^2} = x^{6-2} = x^4. \][/tex]
6. Combine the results:
Multiply the results from the coefficient and variable parts:
[tex]\[ 7 \cdot x^4 = 7x^4. \][/tex]
Therefore, the value of [tex]\( B \)[/tex] that satisfies the equation [tex]\(-35x^6 = (-5x^2)B\)[/tex] is:
[tex]\[ B = 7x^4. \][/tex]
If we need only the coefficient of [tex]\( B \)[/tex], it is:
[tex]\[ B = 7. \][/tex]
So, the missing factor [tex]\( B \)[/tex] that makes the equality true is
[tex]\[ \boxed{7}. \][/tex]
[tex]\[ -35x^6 = (-5x^2)B, \][/tex]
we can follow these steps:
1. Start with the given equation:
[tex]\[ -35x^6 = (-5x^2)B. \][/tex]
2. Isolate [tex]\( B \)[/tex]:
To isolate [tex]\( B \)[/tex], we need to divide both sides of the equation by [tex]\(-5x^2\)[/tex]. This gives us:
[tex]\[ \frac{-35x^6}{-5x^2} = B. \][/tex]
3. Simplify the fraction:
Simplify the left-hand side of the equation:
[tex]\[ \frac{-35x^6}{-5x^2} = \frac{35x^6}{5x^2}. \][/tex]
4. Divide the coefficients:
Divide [tex]\( 35 \)[/tex] by [tex]\( 5 \)[/tex]:
[tex]\[ \frac{35}{5} = 7. \][/tex]
5. Divide the variables:
For the variable part, apply the rule of exponents [tex]\( \frac{x^a}{x^b} = x^{a-b} \)[/tex]:
[tex]\[ \frac{x^6}{x^2} = x^{6-2} = x^4. \][/tex]
6. Combine the results:
Multiply the results from the coefficient and variable parts:
[tex]\[ 7 \cdot x^4 = 7x^4. \][/tex]
Therefore, the value of [tex]\( B \)[/tex] that satisfies the equation [tex]\(-35x^6 = (-5x^2)B\)[/tex] is:
[tex]\[ B = 7x^4. \][/tex]
If we need only the coefficient of [tex]\( B \)[/tex], it is:
[tex]\[ B = 7. \][/tex]
So, the missing factor [tex]\( B \)[/tex] that makes the equality true is
[tex]\[ \boxed{7}. \][/tex]
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.