Answer:
x = -7 or 7
Step-by-step explanation:
x² - 49 = 0
→ Factorise
( x + 7 ) ( x - 7 )
→ Solve
x = -7 or 7
Answer:
y= -2
Step-by-step explanation:
2+ (curving) -4 = y=-2
Sorry, I don't know how to explain
Answer:
<h2>-2</h2>
Step-by-step explanation:
![\dfrac{1}{3}x](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7Dx%3C3x%2B8%3C-5x%5Cqquad%5Ctext%7Bmultiply%20all%20sides%20by%203%7D%5C%5C%5C%5C3%5C%21%5C%21%5C%21%5C%21%5Cdiagup%5E1%5Ccdot%5Cdfrac%7B1%7D%7B3%5C%21%5C%21%5C%21%5C%21%5Cdiagup_1%7Dx%3C3%5Ccdot3x%2B3%5Ccdot8%3C3%5Ccdot%28-5x%29%5C%5C%5C%5Cx%3C9x%2B24%3C-15x%5C%5C%5C%5C%5Ctext%7BLet%20split%20it%20into%20two%20inequalities%7D%5C%5C%5C%5C%281%29%5Cqquad%20x%3C9x%2B24%5C%20%5Ctext%7Band%7D%5Cqquad%20%282%29%5Cqquad%209x%2B24%3C-15x)
![(1)\\x-3}\\\\(2)\\9x+24](https://tex.z-dn.net/?f=%281%29%5C%5Cx%3C9x%2B24%5Cqquad%5Ctext%7Bsubtract%7D%5C%209x%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5C%5C%5C-8x%3C24%5Cqquad%5Ctext%7Bchange%20the%20signs%7D%5C%5C%5C%5C8x%3E-24%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%208%7D%5C%5C%5C%5C%5Cboxed%7Bx%3E-3%7D%5C%5C%5C%5C%282%29%5C%5C9x%2B24%3C-15x%5Cqquad%5Ctext%7Badd%7D%5C%2015x%5C%20%5Ctext%7Bto%20both%20sides%7D%5C%5C%5C%5C24x%2B24%3C0%5Cqquad%5Ctext%7Bsubtract%2024%20from%20both%20sides%7D%5C%5C%5C%5C24x%3C-24%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%2024%7D%5C%5C%5C%5C%5Cboxed%7Bx%3C-1%7D%5C%5C%5C%5C%5Ctext%7BFrom%20%281%29%20and%20%282%29%20we%20have%7D%5C%5C%5C%5C-3%3Cx%3C-1%5Cto%5Ctext%7BThere%20is%20only%20one%20integer%20in%20this%20solution%3A%20-2%7D)
Answer:
(a) 42000000 cubic feet
(b) 552000 square feet
Step-by-step explanation:
base side length, a = 600 feet
slant height , L = 460 feet
height, h = 350 feet
(A) Volume of the hotel is
![V =\frac{a^2h}{3}\\\\V =\frac{600\times600\times350}{3}\\\\V = 4.2\times 10^7 feet^3](https://tex.z-dn.net/?f=V%20%3D%5Cfrac%7Ba%5E2h%7D%7B3%7D%5C%5C%5C%5CV%20%3D%5Cfrac%7B600%5Ctimes600%5Ctimes350%7D%7B3%7D%5C%5C%5C%5CV%20%3D%204.2%5Ctimes%2010%5E7%20feet%5E3)
(B) Lateral surface area is
A = 2 a L
A = 2 x 600 x 460
A = 552000 square feet