The axis of symmetry is at x = -3.
This can be found by looking at the basic form of vertex form:
y = (x - h)^2 + k
In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).
It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3
5.) Answer: 0.45
Step-by-step explanation:
There is 1.5 quarts of paint, and 30% is yellow.
30% of 1.5 is 0.45.
6.) Answer: 7.198
Step-by-step explanation:
$499.99 is 100%. We need to find $35.99 off of it in percentage.
499.99/35.99 = 100/x
499.99x = 3599, x = 3599/499.99
x ≈ 7.198
Answer:
<em>Yes, because even though their side lengths are different, their internal angles are the same.</em>
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Step-by-step explanation:
Answer:
179.50 
Step-by-step explanation:
The equation for volume of a cone is:
The radius is half of the diameter so r= 3.5 in
The height is 4 times the radius so h=14
V= 179.50
Answer:
$70.88
Step-by-step explanation:
To find sales tax, multiply the price by the percentage as a decimal.
$67.50 67.50(0.05) = $3.38
Since sales tax is 5%, its decimal equivalent is 0.05 and for the price of $67.50 you pay $3.38.
The total amount paid is the price added to the sales tax.
$67.50 + 3.38 = $70.88
Repeat these steps for each price in the sales amount column.
