Answer:
17. z=18
18. n=-15
19. j = -50
20. a=-27
21. h=-15
22. d=.392
Step-by-step explanation:
17. Multiply both sides by 3, then subtract 6 from both sides
![\frac{z+6}{3}=8\\\\\frac{z+6}{3} * 3 = 8\\\\z+6=8*3\\z+6=24\\](https://tex.z-dn.net/?f=%5Cfrac%7Bz%2B6%7D%7B3%7D%3D8%5C%5C%5C%5C%5Cfrac%7Bz%2B6%7D%7B3%7D%20%2A%203%20%3D%208%5C%5C%5C%5Cz%2B6%3D8%2A3%5C%5Cz%2B6%3D24%5C%5C)
![z+6-6=24-6\\\\z=18](https://tex.z-dn.net/?f=z%2B6-6%3D24-6%5C%5C%5C%5Cz%3D18)
18. Multiply both sides of the equation by 2, then add 7
![\frac{n-7}{2}=-11\\\\ n-7 = -22\\\\n=-15](https://tex.z-dn.net/?f=%5Cfrac%7Bn-7%7D%7B2%7D%3D-11%5C%5C%5C%5C%20n-7%20%3D%20-22%5C%5C%5C%5Cn%3D-15)
19. Multiply both sides by -4, then subtract 18 from both sides.
![\frac{j+18}{-4}=8\\ j+18 = -32\\j = -50](https://tex.z-dn.net/?f=%5Cfrac%7Bj%2B18%7D%7B-4%7D%3D8%5C%5C%20j%2B18%20%3D%20-32%5C%5Cj%20%3D%20-50)
20. Add six to both sides, then multiply both sides by 3
![\frac{1}{3} a-6=-15\\\\\frac{1}{3}a=-9\\\\a=-27](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20a-6%3D-15%5C%5C%5C%5C%5Cfrac%7B1%7D%7B3%7Da%3D-9%5C%5C%5C%5Ca%3D-27)
21. Subtract 4 from both sides, then multiply both sides by 4
![\frac{1}{4}=\frac{1}{4}h+4\\\\-\frac{15}{4}=\frac{1}{4}h\\\\\\-15 = h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B1%7D%7B4%7Dh%2B4%5C%5C%5C%5C-%5Cfrac%7B15%7D%7B4%7D%3D%5Cfrac%7B1%7D%7B4%7Dh%5C%5C%5C%5C%5C%5C-15%20%3D%20h)
22. Subtract 6.42 from both sides, then divide both sides by -10
![6.42-10d=2.5\\\\-10d=-3.92\\\\d =\frac{-3.92}{-10} \\\\d=.392](https://tex.z-dn.net/?f=6.42-10d%3D2.5%5C%5C%5C%5C-10d%3D-3.92%5C%5C%5C%5Cd%20%3D%5Cfrac%7B-3.92%7D%7B-10%7D%20%5C%5C%5C%5Cd%3D.392)
Answer: h = 14.1 ft
Step-by-step explanation:
The given triangle is an isosceles right angle triangle because the two sides or legs of the triangle are equal. To determine h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Hypotenuse = 20ft
opposite side = adjacent side = h feet
Therefore
20² = h² + h²
400 = 2h²
h² = 400/2 = 200
Taking square root of both sides, it becomes
h = √200
h = 14.1 ft
I'm not exactly sure...but I'm thinking you'd divide 20 divided by 2 which would be 10.
The answer will going to be A
Answer:
4a^3 – 4a - 3
Step-by-step explanation:
(4a^3 – 3a - 8) - (a -5) (change sign of both elements then combine)
(4a^3 – 3a - a - 8 + 5)
4a^3 – 4a - 3