Miles using 19.5 gallons = 585 miles
Miles using 1 gallons
(585 / 19.5) * 1
30 miles / gallon
Answer:
constant: -6
Coefficient: -1
Variable: x
Step-by-step explanation:
Answer:
We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.
We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :
1 - We first group terms with the same variable :
(x²+8x) + (y²+22y) + 37 = 0
2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)
(x²+8x) + (y²+22y) = - 37
3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.
x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²
y²+22y = (y²+22y+11²)-11² = (y+11)²-11²
4 - We plug the new values inside our equation :
(x+4)² - 4² + (y+22)² - 11² = -37
(x+4)² + (y+22)² = -37+4²+11²
(x+4)²+(y+22)² = 100
5 - We re-write in standard form :
(x-(-4)²)² + (y - (-22))² = 10²
And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)
4x + 3y = 65
X + y = 18
When you use elimination, multiply the second equation by -3
4x + 3y = 65
-3X -3y = -54
X = 11
X+y = 18
11 + y = 18
Y = 7
Answer:
Step-by-step explanation:
It is given that the length of triangle base is 26, then let ABC be the triangle and BC be the base of the triangle=26.Let DE be the parallel line to the base that divides triangle ABC into two equal area parts.
Now, Let AD=a, DB=b, DE=c, AE=d and EC=e, then
Since, triangle ABC is similar to triangle ADE, thus using basic proportions, we get
Taking the first two equalities,we get
Thus, the length of the segment between triangle legs is 
