Answer:
x = 45.25 and 2x + 9.50 < 100
Step-by-step explanation:
Okay, so I dont know if you want am explanation but here I go
if for each game shipping is 4.75, you multiply by 2 to find the total there, hence 9.5.
and you dont want to go over $100, so the amount you spent has to be less then $100
and you're going to buy 2 games, x stands for the price.
2x + 9.50 < 100
2x < 90.5 (i just subtracted 9.5 on each side)
2/2x = 90.5/2
x = 45.25
Let the other 2 unknown sides be y n z
look at the two smaller triangles inside
y^2 = 12^2 + x^2 and
z^2 = 21^2 + x^2
from the biggest triangle
(12+21)^2 = y^2 + z^2
substituting
(12+21)^2 = (12^2 + x^2) + (21^2 + x^2)
33^2 = 12^2 + 21^2 + 2x^2
2x^2 = (33^2 - 12^2 - 21^2)/2 = 504
x^2 = 252
x = 15.9
ans is B
Answer:
h = a + b * t, this equation gives you the height of the candle after t hours, where:
h = height of the candle
t = hours of burning
a = the y intercept
b = the slope
Step-by-step explanation:
In your problem says that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. This means that the independent variable is t (hours of burning) and the dependent variable is h (height of the candle).
A linear function has the following form:
y = f(x) = a + bx
a is the constant term or the y intercept. It is the value of the dependent variable when x = 0.
b is the coefficient of the independent variable. It is also known as the slope and gives the rate of change of the dependent variable.
NOTE:
In order to find numerical values you need at least two points in order to find the slope (t1,h1), (t2,h2), with this equation:
b = 
Next you find a when x = 0, y = a, where y is one of the points that you want to evaluate.
With these values you put them in this equation h = a + b * t and that's it! You will find the height of the candle after t hours.
Answer:
total area of the garden and walkway = 2a² + 21a + 54
Step-by-step explanation:
The walkway surrounds the rectangular garden. The width of the garden is 9 ft and the length is 12 ft. Since the width of the walkway around the garden is the same on every side let us use a to represent the width around the garden.
The garden is rectangular and the width of the walkway around the garden is uniform. The width added on both end of the width of the rectangle will be 2a while the width added to the both length of the rectangle will be 2a also.
Therefore
total area of the garden and walkway = length × width
length of garden and the walkway = 2a + 12
width of garden and the walkway = 2a + 9
total area of the garden and walkway = (2a + 12)(2a + 9)
total area of the garden and walkway = 4a² + 18a + 24a + 108
total area of the garden and walkway = 4a² + 42a + 108
divide through by 2
total area of the garden and walkway = 2a² + 21a + 54
