Answer:
c = d/a - b
General Formulas and Concepts:
<u>Pre-Algebra</u>
Step-by-step explanation:
<u>Step 1: Define</u>
a(c + b) = d
<u>Step 2: Solve for </u><em><u>c</u></em>
- Divide <em>a</em> on both sides: c + b = d/a
- Subtract <em>b</em> on both sides; c = d/a - b
If one root of a cubic is known (and verified), then we can do a synthetic division and factor the remaining quadratic expression.
f(x)=x^3+x^2-22x-40
f(5)=125+25-22(5)-40=0 so x-5 is a factor
Now do the synthetic division
5 | +1 +1 -22 -40
--------------------
1 6 8 0
The resulting quadratic is x^2+6x+8 which can be factored into
(x+2)(x+4)
The complete factorization is therefore
f(x)=<span>x³ + x² - 22x - 40 = (x-5)(x+2)(x+4)</span>
Answer:
Basically you add all the numbers shown there and divide by how many there are. So you just get the sum and divide that by 11 since there are 11 numbers. Happy to help! (mean)
Step-by-step explanation:
Then...
8x+y=12
8x+3 = 12
-3 -3
---- ----
8x = 9
---- ----
8 8
x = 9/8
Hope this helps! :) Good luck
Answer:
1/2
Step-by-step explanation:
sin(pi) = 0
sin(7pi/6) = -1/2
sin(pi/6) = 1/2
sin 3pi/2 = -1
sin pi/2 = 1
sin pi/3 = √3/2
sin 4pi/3 = -√3/2
