Answer:
3rd circule
Step-by-step explanation:
Answer:
C ) y + 3 = 1/4 ( x + 4 )
Explanation:
Given that you did not include the "given line", I can help you by explaning how to solve this kind of problems, step by step.
The procedure is based of the property of perpendicular lines: the product of the slopes of perpedicular lines is negative 1.
If you call m1, the slope of a line and m2 the slope of a perpendicular line, then:
m1 * m2 = - 1, and you can solve for either m1 or m2:
m1 = - (1 / m2)
m2 = - (1 / m1).
With that this is the procedure:
1) find the slope of the "given line". Name it m1.
2) find the slope of the perpendicular line:
m2 = - (1 / m1).
3) Use the equation of the line with the point (x1,y1) and slope m2
y - y1
-------- = m2
x - x1
4) In this case the point is (-4, - 3)=> x1 = - 4, y1 = - 3
=>
y - (-3)
---------= m2
x - (-4)
=> y + 3 = m2 * (x + 4)
=> y = m2*x + m2 * 4 - 3
Which is the point-slope form. You only have to replace m2 with the slope value of the perpendicular line, which I already explained that you find as m2 = (-1/m1).
Taking that the other line has m1 = - 4 so m2 = 1/4
y = (1/4)x + (1/4) * 4 - 3
y = (1/4) (x +4) - 3
y + 3 = (1/4) (x + 4) and answer is:
C ) y + 3 = 1/4 ( x + 4 )
(5x-1)(x+2)=8x-4
5x²+10x-x-2=8x-4
5x²+9x-2=8x-4
5x²+x+2=0
use the quadratic formula, b²-4ac=1²-4*5*2=1-40=-39, -39 cannot be square rooted, so the equation has no real solution.
So the three numbers can be turned into fractions.
1/5, 1/4, and 4/20.
fractions can be turned into decimals by dividing the denominator into the numerator.
now we have 0.2 , 0.25 , and 0.2
greatest to least, the numbers are 0.25 , 0.2 , and 0.2
(both 0.2s are equal, so order of those doesn't matter)
26/3 (improper fraction) 8.667
