Given y = xy + x^2 +1, first find y = f(x) = (x^2 + 1) / (1 - x). Then use the quotient rule for derivatives.
dy/dx = [( 1 - x)( 2x) - (x^2 + 1)(-1)] / (1 - x)^2. Substitute the value of x = -1 into the above derivative and get -1/2.
If two triangles are similar then the
corresponding sides are in proportion. Thus,
AB / AU = BC / UV = AC / AV
AB / (20x+108) = 703 / 444
Where AB is equivalent to:
AB = AU + UB
AB = 20x + 108 + 273
AB = 20x + 381
Therefore going back to the first equation:
(20x + 381) / (20x + 108)
= 703/444
444 (20x + 381) = 703 (20x + 108)
8880x + 169164 = 14060x + 75924
14060x - 8880x = 169164 – 75924
5180 x = 93240
x = 93240 / 5180
<span>x = 18</span>
Answer:
(3x + 18) + 93 = 180
23 + X
Step-by-step explanation:
(3x + 18) + 93 = 180, its supplymentery
180 - 93 = 87
87 - 18 = 69
3x = 69
69/3 = 23
23 = X
Answer:
6/21, 12/42
Step-by-step explanation:
Mary spends no more than 21 hours a week doing homework. If she spends 2/7 of the time doing her math homework.
The number of hours she spends doing her maths homework is calculated as:
= 2/7 × 21
= 6 hours
The other fractions that could represent the amount of time Mary spends doing her math homework is given as:
6 hours/21 hours = 6/21
Also , that could be represented as:
12/42
Therefore, the other fractions that could represent the amount of time Mary spends doing her math homework is : 6/21 , 12/42
A=wl, so the answer is A :)
