Answer:
Tom spent $3.75 of Skittles
Step-by-step explanation:
If each Skittle packet was $1.25, then if that is multiplied by 3, the product of the equation is, 3 dollars and 75 cents/$3.75
1.25 x 3 = 3.75
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 :)
Answer:
The solution is w=8
Step-by-step explanation:
we have
-2w+4=-12
Solve for w
That means -----> isolate the variable w
Subtract 4 both sides
-2w+4-4=-12-4
-2w=-16
Divide by -2 both sides
-2w/-2=-16/-2
w=8
take 16+5=21. 29-21=8 so answer is 8
Answer:
Step-by-step explanation:
The given expression to us is ,
Now take the LCM as ( x - 1 ) and Simplify , we have ,
Simplifying further , we get ,
Hence the second option is correct .
