Ax+by=c
a=(-by+c)/x
b=(-ax+c)/x
c=ax+by
x=(-by+c)/a
y=(-ax+c)/b. or y= -a/b x + c/b which is slope intercept form
Answer:
Step-by-step explanation:
For this case we know that:
And we want to find the value for 
, so then we can use the following basic identity:
And if we solve for 
we got:
And if we replace the value given we got:
For our case we know that the angle is on the II quadrant, and on this quadrant we know that the sine is positive but the cosine is negative so then the correct answer for this case would be:
Answer:
x=22
Step-by-step explanation:
1408/64
That would be :
4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substitute for y)
PROOF: y + 5x = x²<span> + 10
</span> (4x - 10) + 5x = x² + 10
4x - 10 = x² -5x + 10
<span>
</span>0 = x2 – 9x + 20<span> (liked terms are grouped and simplified)
PROOF: </span> 4x - 10 = x² -5x + 10
4x = x² -5x + 10 + 10
0 = x² -5x -4x + 20
0 = x² - 9x + 20
Solving:
x² - 9x + 20 = 0
x² - 5x - 4x + 20 = 0
(x - 5) (x - 4) = 0
⇒ x = 4 (as question says) OR x = 5
Answer:
The number is 5
Step-by-step explanation:
6+3n = 5n-4
Subtract 3n from each side
6+3n-3n = 5n-3n-4
6 = 2n-4
Add 4 to each side
6+4 = 2n-4+4
10= 2n
Divide by 2
10/2 =2n/2
5=n
