Answer:
B
Step-by-step explanation:
Givens
a^2 + b^2 = c^2
a = 4x
b = x + 2
c = 3x + 4
Solution
(4x)^2 + (x + 2)^2 = (3x + 4)^3 Remove all the brackets.
16x^2 + x^2 + 4x + 4 = 9x^2 + 24x + 16 Collect like terms on the left
17x^2 + 4x + 4 = 9x^2 + 24x + 16 Subtract the terms on the right
8x^2 - 20x - 12 = 0
This factors into
(4x - 12)(2x + 1)
There are 2 answers
4x - 12 = 0
4x = 12
x = 12/4
x = 3
or
2x + 1 = 0
2x = - 1
x = - 1/2
You have to look at x = -1/2 carefully. The problem is that 4x = 4*(-1/2) = - 2 which is not possible in Euclidean Geometry.
So the only answer is x = 3
To start off this is multiplication and not addition nor subtraction where you have to line up your numbers like 46.93
+ 1.98
No, instead you put them in any order such as
46.93
x. 1.98
---------------
37544
421370
+ 469300
------------------
92.9214 ------> This is your answer!
1)Multiply the 3 in 46.93 to the 8 in 1.98 which is 24. 2) Then you multiply the 9 in 46.93 to the 8 in 1.98 which gives you 72 and don't forget to add the 2 from 24. You get 74. 4)You then multiply the 6 in 46.93 to the 8 in 1.98 and you get 48, add the 7 from 74, and you get 55. 5) You multiply the 4 in 46.93 to the 8 in 1.98 and you get 32, plus the 5 from 55 and you get 37. Your first answer should be 37544.
6) After you get this answer, you add a zero underneath the 4 in the one's place from your previous answer. 7) This step might be a little hard to remember, but you do the same procedure as you were doing in steps 1-6. This time on the other hand, you multiply each value in 46.93 to the 9 in1.98. 8)After completing those exact steps, your secondary answer should be 421370. 9) Once having this answer, you multiply 46.93 to the 1 in 1.98 and your third answer should be 469300. 10) The next step is to add up all three of your answers together and you get the final answer. You should be getting 929214. 11) The last and final step is to count the spaces of decimals your multiples' have which are 4, and you move 4 spaces to the left and you get 92.9214.
Y is 12. X is 2 and if you add 12 plus 2 it makes 14. and 12 minus 5 times 2 equals 2
Answer:
Option A.
Step-by-step explanation:
-22 is a number that is less than-18. This automatically eliminates option B.
And also, the way that option A. moves is -22, -20, -19, -18, 18, 30. This is correct because -18 is closer to 18 than -22 is. -22 is farther to the left than -18 is.
Hope this helps! :)
