Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Solve the equation for [tex]\( a \)[/tex].

[tex]\[ K = 4a + 9ab \][/tex]

A. [tex]\( a = \frac{K}{4 + 9b} \)[/tex]
B. [tex]\( a = K(4 + 9b) \)[/tex]
C. [tex]\( a = 4(K + 9b) \)[/tex]
D. [tex]\( a = \frac{4 + 9b}{K} \)[/tex]

Sagot :

GinnyAnswer
To solve the equation [tex]\( K = 4a + 9ab \)[/tex] for [tex]\( a \)[/tex], let's proceed with the following steps:

1. Rearrange the given equation:
The original equation is

[tex]\[ K = 4a + 9ab \][/tex]

2. Factor out [tex]\( a \)[/tex]:
Notice that both terms on the right-hand side contain [tex]\( a \)[/tex]. Factor [tex]\( a \)[/tex] out from these terms:

[tex]\[ K = a(4 + 9b) \][/tex]

3. Isolate [tex]\( a \)[/tex]:
To solve for [tex]\( a \)[/tex], divide both sides of the equation by [tex]\( (4 + 9b) \)[/tex]:

[tex]\[ a = \frac{K}{4 + 9b} \][/tex]

Thus, the solution for [tex]\( a \)[/tex] in terms of [tex]\( K \)[/tex] and [tex]\( b \)[/tex] is:

[tex]\[ a = \frac{K}{4 + 9b} \][/tex]
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.