The answer is d because 4+8=12 and they are 4 units away from eachother:)
Answer:
3x-1
Step-by-step explanation:
3(x-2)+5
3 multiplied by x is 3x
3 multiplied by -2 is -6
So you get 3x-6+5, add -6 and 5 to get -1
and you'll have 3x-1
Answer:
Step-by-step explanation:
Answer: -a2b2 + 9a2 + 24ab + 4b2 - 36
Step-by-step explanation:
A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
AB = BA is the commutative property of multiplication.
- AB + AB equals zero and is therefore eliminated from the expression.
Pharaphrase it if used.
Answer:
![\large\boxed{x=-\dfrac{69}{2}\to x=-34\dfrac{1}{2}\to x=-34.5}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bx%3D-%5Cdfrac%7B69%7D%7B2%7D%5Cto%20x%3D-34%5Cdfrac%7B1%7D%7B2%7D%5Cto%20x%3D-34.5%7D)
Step-by-step explanation:
![\dfrac{2}{3}x-\dfrac{3}{4}=5+\dfrac{5}{6}x\qquad\text{multiply both sides by LCD = 12}\\\\12\!\!\!\!\!\diagup^4\cdot\dfrac{2}{3\!\!\!\!\diagup_1}x-12\!\!\!\!\!\diagup^3\cdot\dfrac{3}{4\!\!\!\diagup_1}=(12)(5)+12\!\!\!\!\!\diagup^2\cdot\dfrac{5}{6\!\!\!\diagup_1}x\\\\(4)(2x)-(3)(3)=60+(2)(5x)\\\\8x-9=60+10x\qquad\text{add 9 to both sides}\\\\8x-9+9=60+9+10x\\\\8x=69+10x\qquad\text{subtract}\ 10x\ \text{from both sides}\\\\8x-10x=69+10x-10x\\\\-2x=69\qquad\text{divide both sides by (-2)}\\\\x=-\dfrac{69}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B3%7Dx-%5Cdfrac%7B3%7D%7B4%7D%3D5%2B%5Cdfrac%7B5%7D%7B6%7Dx%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%20LCD%20%3D%2012%7D%5C%5C%5C%5C12%5C%21%5C%21%5C%21%5C%21%5C%21%5Cdiagup%5E4%5Ccdot%5Cdfrac%7B2%7D%7B3%5C%21%5C%21%5C%21%5C%21%5Cdiagup_1%7Dx-12%5C%21%5C%21%5C%21%5C%21%5C%21%5Cdiagup%5E3%5Ccdot%5Cdfrac%7B3%7D%7B4%5C%21%5C%21%5C%21%5Cdiagup_1%7D%3D%2812%29%285%29%2B12%5C%21%5C%21%5C%21%5C%21%5C%21%5Cdiagup%5E2%5Ccdot%5Cdfrac%7B5%7D%7B6%5C%21%5C%21%5C%21%5Cdiagup_1%7Dx%5C%5C%5C%5C%284%29%282x%29-%283%29%283%29%3D60%2B%282%29%285x%29%5C%5C%5C%5C8x-9%3D60%2B10x%5Cqquad%5Ctext%7Badd%209%20to%20both%20sides%7D%5C%5C%5C%5C8x-9%2B9%3D60%2B9%2B10x%5C%5C%5C%5C8x%3D69%2B10x%5Cqquad%5Ctext%7Bsubtract%7D%5C%2010x%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5C%5C%5C8x-10x%3D69%2B10x-10x%5C%5C%5C%5C-2x%3D69%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%20%28-2%29%7D%5C%5C%5C%5Cx%3D-%5Cdfrac%7B69%7D%7B2%7D)