Answer:
3rd one. The general form of a circle is set equal to the radius squared. So right side is 4 then plug in values until true.
Answer:Allen is correct
Step-by-step explanation: Allen is correct because angle 2 has more information than angle 1 and angle 1 is only 30 degrees.
Answer:
The last listed functional expression:
Step-by-step explanation:
It is important to notice that the two linear expressions that render such graph are parallel lines (same slope), and that the one valid for the left part of the domain, crosses the y-axis at the point (0,2), that is y = 2 when x = 0. On the other hand, if you prolong the line that describes the right hand side of the domain, that line will cross the y axis at a lower position than the previous one (0,1), that is y=1 when x = 0. This info gives us what the y-intercepts of the equations should be (the constant number that adds to the term in x in the equations: in the left section of the graph, the equation should have "x+2", while for the right section of the graph, the equation should have x+1.
It is also important to understand that the "solid" dot that is located in the region where the domain changes, (x=2) belongs to the domain on the right hand side of the graph, So, we are looking for a function definition that contains 
for the function, for the domain: 
.
Such definition is the one given last (bottom right) in your answer options.
Answer:
C
Step-by-step explanation:
(a)
2 : 4 ( divide both values by 2)
= 1 : 2
3 : 6 ( divide both values by 3 )
= 1 : 2
Thus 2 : 4 = 3 : 6
(b)
3 : 9 ( divide both values by 3 )
= 1 : 3
Thus 1 : 3 = 3 : 9
(c)
4 : 6 ( divide both values by 2 )
= 2 : 3 ≠ 3 : 2
(d)
10 : 2 ( divide both values by 2 )
= 5 : 1
Thus 5 : 1 = 10 : 2
Answer:
Step-by-step explanation:
At home depot
Price of Christmas tree = $149.00
Discount = 15%
Amount discounted = 15% of $149
Amount discounted = 15/100 * $149
Amount discounted = 15 * 1.49
Amount discounted = $22.35
Amount she paid = $149-$22.35
Amount she paid = $126.65
At Lowe's:
Price of Christmas tree = $175.00
Discount = 260%
Amount discounted = 20% of $175
Amount discounted = 20/100 * $175
Amount discounted = 0.2 * 175
Amount discounted = $35
Amount she paid = $175-$35
Amount she paid at Lowe's = $140
<u><em>From the prices above, it can be seen that Home Depot has a better deal since the price after removing discount is lower than that of Lowe's.</em></u>
<u><em></em></u>
<u><em>Amount she will save will be $140 - $126.65 = $13.35</em></u>
