Answer:
x = 1.5
y = 0.866
Step-by-step explanation:
To convert from polar coordinates to rectangular coordinates, we can use the following formulas:
x = r * cos(theta)
y = r * sin(theta)
So, if our point if (sqrt(3), pi/6), that means r = sqrt(3) and theta = pi/6, so we have that:
x = sqrt(3) * cos(pi/6) = sqrt(3) * sqrt(3)/2 = 3/2 = 1.5
y = sqrt(3) * sin(pi/6) = sqrt(3) * 1/2 = sqrt(3)/2 = 0.866
Answer:
for the first one,
I would prolly distribute the number on the outside of the parenthesis into the first pair of parenthesis but keep the parenthesis there, so for #17 it would turn out to be (2x-2)(x+2),
and then use foil (first outer inner last). so then #17 is 2x^2 + 4x - 2x - 4
and then you'd combine like terms to get the answer: <u>2x^2 + 2x -4</u>
<u />
Step-by-step explanation:
hope this helped a little bit :))
Answer:
s = 5/4
Step-by-step explanation:
Solve for s:
86 = 8 s + 76
86 = 8 s + 76 is equivalent to 8 s + 76 = 86:
8 s + 76 = 86
Subtract 76 from both sides:
8 s + (76 - 76) = 86 - 76
76 - 76 = 0:
8 s = 86 - 76
86 - 76 = 10:
8 s = 10
Divide both sides of 8 s = 10 by 8:
(8 s)/8 = 10/8
8/8 = 1:
s = 10/8
The gcd of 10 and 8 is 2, so 10/8 = (2×5)/(2×4) = 2/2×5/4 = 5/4:
Answer: s = 5/4
Answer: you have to deposit $15625 today
Step-by-step explanation:
Assuming the interest is compounded annually. We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
A = $20000
r = 4.2% = 4.2/100 = 0.042
n = 1 because it was compounded once in a year.
t = 6 years
Therefore,.
20000 = P(1 + 0.042/1)^1 × 6
20000 = P(1.042)^6
20000 = 1.28P
P = 20000/1.28
P = $15625
-28-(-24)=-4
14-18=-4
28-32=-4
Any of these should work and there are plenty more that would work as well
