Answer: 7.25 gallons
Step-by-step explanation:
Convert 13¹/₂ to a whole number with a decimal:
= 1/2 = 0.5
= 13.5 gallons of gas
If the gas reduces by 6.25 gallons, the amount of gas remaining will be:
= Starting amount - Amount reduced by
= 13.5 - 6.25
= 7.25 gallons
Answer:

Step-by-step explanation:
∵ The quadratic equation form is :
y = [1/2(b - k)] (x - a)² + (b + k)/2
Where (a , b) is the focus and directrix y = k
∵ The focus is (4 , -3) and directix is y = -6
∵ 
∴ 
∴ 
another way:
Assume that (x , y) is the general point on the parabola
∵ The distance between the directrix and (x , y) = the distance between the focus and (x , y)
By using the distance rule:
∵ (y - -6)² = (x - 4)² + (y - -3)² ⇒ (y + 6)² = (x - 4)² + (y + 3)
∴ y² + 12y + 36 = (x - 4)² + y² + 6y + 9
∴ 12y - 6y = (x - 4)² + 9 - 36
∴ 6y = (x - 4)² - 27 ⇒ ÷ 6
∴ y = 1/6 (x - 4)² - 9/2
Answer:
B. Rotate 180° clockwise around (8, 4) and reflect across the line x=8.
Step-by-step explanation:
The figure is symmetrical (order 2) about the point (8, 4), and about the lines x=8 and y=4.
Hence, rotation 180° about the point (8, 4) makes the figure look unchanged. Since the figure is also symmetrical about the line x=8, reflecting it across that line will also leave the figure unchanged.
__
Any of the other transformations have the effect of translating the figure somewhere else.
Answer:
B= 4.6cm
Step-by-step explanation:
A= 
