We have that
4x²-25y²<span>-8x+50y-121=0
</span><span>Group terms that contain the same variable, and move the constant to the opposite side of the equation
</span>(4x²-8x)+(-25y²+50y)=121
Factor the leading coefficient of each expression
4(x²-2x)-25(y²-2y)=121
Complete the square twice. Remember to balance the equation by adding the same constants to each side.
4(x²-2x+1)²-25(y²-2y+1)²=121+4-25
Rewrite as perfect squares
4(x-1)²-25(y-1)²=100
<span>Divide both sides by the constant term to place the equation in standard form</span>
(4/100)(x-1)²-(25/100)(y-1)²=100/100
(1/25)(x-1)²-(1/4)(y-1)²=1
[(x-1)²]/25-[(y-1)²]/4=1
the answer is
[(x-1)²]/25-[(y-1)²]/4=1
3.14 is the answer
hope it helped!
4p+5=32 or 7 packages
I got this because there are 4 bracelets in one package and she doesn't know how many packages she needs so we put p for packages next to the 4 and you already have 5 so you add the 5 to it, all of that should come out to 32. If the equation wasn't what you were looking for you subtract 5 from 32 and get 27, then you divide 4 by 27 and you get 6.75, then you round it up and you get 7. The number of packages she needs is 7.
32.3cm (nearly 13 inches) (12.9 inches)
2.5cm = 1 inch. To figure out what 3 quarters ( 3/4 ) of an inch is, divide 2.5 by 4 then multiply by 3. ( 2.5/4 x3 ) This equals 1.9cm. There are 17 blocks so multiply 1.9 by 17. ( 1.9/17 = 32.3) 30 cm = 12 inches. 2.3 is 90% of 2.5, so add 0.9 to 12.
