Solve the system of equations using substitution.
2 answers:
Answer:
The system of equations has no solution
Step-by-step explanation:
The method of substitution consists in solving one equation for a variable and replacing it in the other equation.
In this case one of the equations is already solved for one of the variables ():
So the next step is to plug this in the other equation wich is:
So we will have
solving the parenthesis:
wich is not a valid answer, so the system of equations has no solution.
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Answer:
Step-by-step explanation:
The axes x and y are calibrated in 0.25
If the circle is carefully considered, the radius r of the circle is:
r = -1.25 - (-2)
r = 0.75 units
The equation of a circle is given by:
The center of the circle (a, b) = (-2, -2)
Substituting (a, b) = (-2, -2) and r = 0.75 into the given equation:
When two shapes are mathematically similar, that means that all their sides are in a proportion.
We know the sieds of EH and AD, and so we can find the proportion of the shapes using these two sides.
EH/AD = 6/9 = 2/3
The ratio of EFGH to ABCD is 2:3
Now we have to find BC.
Becuase they're in proportion, we can form this equation:
=
Cross multiply:
24 = 2*BC
Divide both sides by 2:
BC = 12 cm
Good luck!