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
Answer:
Hope this helps! (:
Step-by-step explanation:
By putting the numbers in the given equation,
2x + 3 + 3x = 7x + 9
5x + 3 = 7x + 9
(5x + 3) - 7x = (7x + 9) - 7x
(5x - 7x) + 3 = 9
-2x + 3 = 9
(-2x + 3) - 3 = 9 - 3
-2x = 6
-x = 3
x = -3
Therefore, our equation is correct which has a negative result.
In place of 6 if we use 8, value of x will be negative again.
Answer:
The cost would be $81.09
Step-by-step explanation:
In order to find the amount Chris will spend, start with the equation and input 100 for every x that you see.
c=0.765x +0.06(.765x)
c=0.765(100) +0.06(.765[100])
c = 76.50 + 0.06*(76.50)
c = 76.50 + 4.59
c = 81.09
Answer:
Option D
Step-by-step explanation:
Out of all given options, Option D (the parallelogram) will tessellate the easiest.
Option B's shape (the Trapezoid) is also possible. However, it would take a little more work for it to tessellate. The trapezoid provided would not tessellate alone.
Option A and Option C's shape wouldn't tessellate because it would leave a gap. To add, Option C's shape is nearly impossible to tessellate.
