Answer:
roots : 4, -4, i, -i
Step-by-step explanation:
This gets a bit tricky.
We have to substitude x^2 as u in this problem.
Now to rewrite x^4 − 15x^2 − 16 = 0 with u, we get
u^2 - 15u - 16 = 0
( u - 16) (u + 1)
U = 16
U = -1
<em>This is not the end of the problem. </em>
Now we have to substitute x^2 back to u.
x^2 = 16 --> we get the roots 4 and -4
x^2 = -1 --> we get the roots i and -i
tadah!
Answer: 9 / 11
That is approximately 0.82
Explanation:
The ratio of two quantities x and y is x divided by y, i.e. the quotient x / y.
So, the ratio of Sylia's work time to Paul's work time is:
Sylvia's work time
---------------------------
Paul's work time
Given that you have the times in mixed units, hours and minutes, you must convert to one of the, either hours or minutes.
If you choose to work with hours, this is the work:
1) Silvia's time: 3 hours and 45 minutes = 3 hours + 45 / 60 hours = 3hours + 0.75 hours = 3.75 hours
2) Paul's work time: 4 hours and 35 minutes = 4 hours + 35/60 hours = 4 hours + 7/12 hours = (48+7)/12 = 55/12 hours ≈ 4.58 hours
3) Ratio:
Sylvia's work time 3.75 hours 3.75*12 45 9
------------------------- = --------------------- = ---------------- = -------- = -----
Paul's work time (55/12) hours 55 55 11
≈ 0.82
You can calculate the ratio using minutes and shall obtain the same result. Look:
1) 3 hours + 45 minutes = 3 * 60 minutes + 45 minutes = 180 minutes + 45 minutes = 225 minutes
2) 4 hours + 35 minutes = 4*60 minutes + 35 minutes = 240 minutes + 35 minutes = 275 minutes
3)
225 minutes 9
----------------- = ------, which is the same result obtained above.
275 minutes 11
Answer
to solve for x is 8
Step-by-step explanation:
Did this help??????
Answer:
228
Step-by-step explanation:
[Formulas Below]
Surface area means the sum of all the shapes on the figure, which means we have to calculate each area of the shapes on the triangular right prism and add them up. To calculate the triangles, we plug in 6 and 5 and get 15. Since there are 2 triangles, we multiply it by 2. Next, we have to find the areas of the rectangles. 11 * 6.5 = 71.5 (There are two of them so you multiply by 2), and 11 * 5 = 55. Finally, we add all of these up. 15 * 2 + 71.5 * 2 + 55 = 30 + 55 + 143 = 228. The surface area is <u><em>228</em></u>.
<u><em>Area of Triangle = (Length * Height)/2</em></u>
<u><em /></u>
<u><em>Area of Rectangle = Length * Width</em></u>
Answer:
A
Step-by-step explanation:
when she rents the stall then she is at a deficit of $450, when she then buys materials, she loses another $40. this means she starts out 490 in the whole and that 490 needs to be less then what she sells in order to make a profit. if it helps, she actually needs to sell 4 paintings. Hope i helped!!!!!!
