Answer:
Step-by-step explanation:
One of the more obvious "connections" between linear equations is the presence of the same two variables (e. g., x and y) in these equations.
Assuming that your two equations are distinct (neither is merely a multiple of the other), we can use the "elimination by addition and subtraction" method to eliminate one variable, leaving us with an equation in one variable, solve this 1-variable (e. g., in x) equation, and then use the resulting value in the other equation to find the value of the other variable (e. g., y). By doing this we find a unique solution (a, b) that satisfies both original equations. Not only that, but also this solution (a, b) will also satisfy both of the original linear equations.
I urge you to think about what you mean by "analyze connections."
Answer:
5
Step-by-step explanation:
→ Let x = √20 + √20 .....
x
→ Square both sides
x² = 20 + √20 +√20 + √20
→ Replace √20 +√20 + √20 with x
x² = 20 + x
→ Move everything to the left hand side
x² - 20 - x = 0
→ Factorise
( x + 4 ) ( x - 5 )
→ Solve
x = -4 , 5
→ Discard negative result
x = 5
Represent
d=number of dimes
q=number of quarters
thererfor
q+d=23
1q=0.25
1d=0.10
therefor
total value=3.35=0.25q+0.1d
so we have
q+d=23
0.25q+0.1d=3.35
solve
q+d=23
subtract q from both sides
d=23-q
subsitute
0.25q+0.1(23-q)=3.35
distribute
0.25q+2.3-0.1q=3.35
group like terms
0.25q-0.1q+2.3=3.35
add like terms
0.15q+2.3=3.35
subtract 2.3 from both sides
0.15q=1.05
multipliy both sides by 100 to get rid of decimal
15q=105
divide both sides by 15
q=7
subsitute
q+d=23
7+d=23
subtract 7
d=16
7 quarters
16 dimes
Slope of the line formed by points (-1,-2) and (3,-3) is 
Step-by-step explanation:
We need to find slope of the line formed by points (-1,-2) and (3,-3)
Finding slope:
The formula used is:
here, 
Putting values and finding slope:
So, slope of the line formed by points (-1,-2) and (3,-3) is
Keywords: Equation of line using Slope
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