Move all terms to one side
4w^2 + 49 + 28w = 0
Rewrite 4w^2 + 49 + 28w in the form a^2 + 2ab + b^2, where a = 2w and b = 7
(2w)^2 + 2(2w)(7) + 7^2 = 0
Use the Square of Sum: (a + b)^2 = a^2 + 2ab + b^2
(2w + 7)^2 = 0
Take the square root of both sides
3w + 7 = 0
Subtract 7 from both sides
2w = -7
Divide both sides by 2
<u>w = -7/2</u>
Answer:
10x - 12y = 192
Step-by-step explanation:
Given the equation :
-5/8x + 3/4y = 12 - - - (1)
8x + 12y = 11 ___(2)
The equivalent form of the first equation which can eliminate the y term :
Multiply (1) by - 16 :
-5/8x * - 16 + 3/4y * - 16 = 12 * - 16
10x - 12y = 192
Hence, Adding the obtained equation and equation(2) will eliminate.
Answer:
11
Step-by-step explanation:
proportions
1. 70 dimes and 33 quarters
2. 18 dimes and 9 nickels
3. 236 adults and 342 children
4. 12 quarters, 9 dimes
5. 9 nickels, 18 dimes
