Answer:
Graph of Modulus
The graph of a modulus or absolute value function is in a form of a 'V' shape whose vertex depends upon the coordinates. The equation for the graph is given as,
where,
(a, b) are the coordinates of the vertex of 'v' in the form of (x, y),
And h shows how wider or lean will be the function, for h=0, it is a straight line, while for a negative value the graph will face downwards and opposite for a positive value.
Given to us
y = |x-3|
On the coordinate plane
The graph will be in the shape of a 'V' whose vertex will lay at the coordinates (3, 0). As the value of a is 1 the graph will face upwards. As shown below on the graph.
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Step-by-step explanation:
Answer:
EQUILATERAL TRIANGLE
Step-by-step explanation:
The answer is 0.45 or .45
Answer:
The system is given by the two equations:
x + y = 100000
0.06*x + 0.085*y = 0.08*(100000)
Step-by-step explanation:
The total money Connor has is $100,000. He wants to split it between two accounts, therefore the money that he'll apply on one account "x" plus the money that he'll apply on the other account "y" must be equal to the total he has. The first equation of the system, must be:
x + y = 100000
Since the first account gives a return of 6% and the second account gives a return of 8.5%, then the first account will give a return of 0.06*x and the second account will give a return of 0.085*y. The sum of this values must be equal to what he desires to recieve, therefore:
0.06*x + 0.085*y = 0.08*(100000)
The system is given by the two equations:
x + y = 100000
0.06*x + 0.085*y = 0.08*(100000)
Answer:
See explanation
Step-by-step explanation:
1) Given
2) Given
3) Opposite angles are congruent
4) SAS
5) If two triangles are congruent, all their corresponding sides are equal.