From another answer, "There are various methods to calculate this. One approach is:
With a range of 400 miles on a 15-gallon fuel tank,
400 / 15 results in 26.66666666666667 miles for every gallon (it seems odd, but we'll reach a concise outcome shortly)
Thus, 26.66666666666667 multiplied by 6 gallons equals 160 miles.
<span>Final result: Landon's SUV can go </span>160 miles<span> using 6 gallons."</span><span />
The equation of the perpendicular line can be identified by determining its slope and applying the given point within the standard formula.
Standard equation: y-y1 = m(x-x1)
m*m'=-1
where m' indicates the slope of the perpendicular line
m denotes the slope of the original line
m = -coefficient of x/coefficient of y = -4/-3 = 4/3
m' = -3/4
Substituting the point (3, -2):
y+2 = -3/4*(x-3)
4y+8 = -3x+9
Thus, the equation of the perpendicular line is: 3x+4y-1=0
La respuesta es 4,13 al problema.
Answer: 11, 13
Explanation:
We need to identify two consecutive integers whose product is 143. If we let x represent the larger of the two integers, the smaller integer can be expressed as (x-2). Their product equals 143, which gives us

By solving the equation:

this results in a second-order equation with two real roots: x=13 and x=-11. We disregard the negative outcome, leaving us with x=13. Hence, the two numbers are
x=13
x=13-2=11
The statements labeled 1 and 4 are accurate. To easily see the center and radius of the circle, we can modify the given equation to fit its standard format. Once in standard form, we can contrast it with the standard equation to find the circle's center and radius. The coordinates for the center are determined to be (1,0) and the radius is represented by

. With this understanding, we can evaluate each statement. 1. The circle's radius is 3 units—this is true. 2. The circle's center is located on the y-axis—this is incorrect, as the center at (1,0) indicates it is on the x-axis. 3. The standard equation is (x - 1)² + y² = 3—this is false; the correct equation is (x - 1)² + y² = 9. 4. The circle's radius matches that of the circle with the equation x² + y² = 9—this statement is correct, as both radii equal 3.