Answer:
a=5, b=15
Step-by-step explanation:
we know that
The figure MNLO is a Kite
so
LO=NO and MN=LM
we have
LO=7a-14, NO=b+6
7a-14=b+6 -----> equation A
MN=b, LM=3a
b=3a -----> equation B
Solve the system of equations by substitution
Substitute equation B in equation A and solve for a
7a-14=(3a)+6
7a-3a=6+14
4a=20
a=5
Find the value of b
b=3a ----> b=3(5)=15
therefore
a=5, b=15
Answer:
A system of equations is when two or more equations have the same variable(s) that you work with together.
Step-by-step explanation:
For these types of equations, we typically use substitution, elimination, and graphing.
Answer:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values. Use the graph to find the range.
Step-by-step explanation:
Explanation: y=7 is a straight line with zero slope and y-intercept 7 as shown below. Hence its domain (all allowed x-values) is all real numbers, and its range (all allowed y-values) is only 7.
<em>I hope this helped~ <3</em>
<em>-Dream</em>
It is a linear equation so there can be 1 solution, 0 solutions, or infinite solutions
4(x-5)=4x-24
distribute
4x -20 = 4x-24
subtract 4x from each side
-20 = -24
no solutions
Answer:
the woman has to live 1 mile from work to minimize the expenses
Step-by-step explanation:
Given the data in the question;
the distance within 9 miles ⇒ 0 < x > 9
Total costs Q = cx + 4c/( x + 1)
costs should be minimum ⇒ dQ/dx = 0
⇒ d/dx [ cx + 4c/( x + 1) ] = 0
⇒ ( x + 1)² = 4
take square root of both side
√[ ( x + 1)² ] = √4
x + 1 = 2
x = 2 - 1
x = 1
Therefore, the woman has to live 1 mile from work to minimize the expenses
