If you can rewrite the formula as (x-a)² + (y-b)² = r², the center is at (a,b) and the radius is r.
If you work out this equation, and map it to the original, you will find that the +4x term hints that a = 2 (double product) and -12y hints that b=-6, and r=6.
So, the formula can be written as (x+2)² + (y-6)² = 6² and the center is at (-2,6) and the radius is 6.
Answer:
Step-by-step explanation:
At Greg's Gas Station premium gasoline costs $0.14 more per gallon than regular gasoline .
Let the cost of regular gasoline be $x per gallon, then the cost of premium gasoline per gallon will be x + 0.14
If Mr. Adams spent $36.25 on 12.5 gallons of regular gasoline, it means that 12.5x = 36.25
x = 36.25/12.5 = $2.9
The cost of regular gasoline is $2.9 per gallon
Therefore, cost of premium gasoline per gallon will be 2.9+ 0.14 = 3.04
if he bought 12.5 gallons of premium gasoline instead, he would have paid
12.5× 3.04 = $38
The amount that he would have spent more will be
38 - 36.25 = $1.75
Answer:
Step-by-step explanation:
8(9x-11)
72x-88
Answer:
4/9
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 16 and 36 is 4
Divide both the numerator and denominator by the GCD
16 ÷ 4
36 ÷ 4
Reduced fraction:
4
9
Therefore, 16/36 simplified to lowest terms is 4/9.
To find the height of the cactus, make a ratio.
58 inches divided by 4 feet equals x inches divided by 8 feet.
58/4 = x/8
14.5 = x/8
116 = x
The height of the cactus is 116 inches.
