Answer:
y=(x+3)^2 has a vertex at (-3,0), while y=x^2 + 3 has a vertex at (0,3)
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Step-by-step explanation:
The total amount shared by the friends illustrates mean and average, and the amount spent by each friend is $11.5
<h3>How to determine the amount?</h3>
The given parameters are:
- Total = $76
- Tip = $16
- Number of friends = 8
The amount spent by each friend is calculated using:
Amount = (Total + Tip)/Number of friends
So, we have:
Amount = (76 + 16)/8
Evaluate
Amount = 11.5
Hence, the amount spent by each friend is $11.5
Read more about mean and average at:
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Answer:
12 dimes and 21 nickles
Step-by-step explanation:
Answer:
Vertical angles are always congruent.
Step-by-step explanation:
Vertical angles are formed when two straight lines intersect each other, thereby forming two pairs of opposite angles, which are called vertical angles. Thus, a pair of these vertical angles formed are congruent to each other. So therefore, if two angles are said to be vertical angles, it follows that they are congruent to each other.
Using the diagram attached below, we can see two straight lines intersecting each other to form two pairs of vertical angles:
<a and <b,
<c and <d.
Thus, <a is congruent to <b, and <c is congruent to <d.
Therefore, the standby that is true about vertical angles is that:
Vertical angles are always congruent.
Answer:
The value of y is -5
Step-by-step explanation:
we have
------> equation A
------> equation B
we know that
If x and y satisfy both equations, then (x,y) is the solution of the system of equations
Using a graphing tool
Remember that
The solution of the systems of equations is the intersection point both graphs
The intersection point is (2,-5)
therefore
The solution of the system of equations is the point (2,-5)
The value of y is -5