Answer:
y+4=-(2/5)(x-5) ----> equation of the line into point slope form
y=-(2/5)x-2 ----> equation of the line into slope intercept form
2x+5y=-10 ----> equation of the line in standard form
Step-by-step explanation:
step 1
Find the slope of the given line
we have
5x-2y=-6
isolate the variable y
2y=5x+6
y=2.5x+3
The slope m of the given line is m=2.5
step 2
Find the slope of the line perpendicular to the given line
We know that
If two lines are perpendicular, then their slopes are inverse reciprocal each other
so
m1=5/2
the inverse reciprocal is
m2=-2/5
step 3
Find the equation of the line into point slope form
y-y1=m(x-x1)
we have
m=-2/5
point (5,-4)
substitute
y+4=-(2/5)(x-5) ----> equation of the line into point slope form
y=-(2/5)x+2-4
y=-(2/5)x-2 ----> equation of the line into slope intercept form
Multiply by 5 both sides
5y=-2x-10
2x+5y=-10 ----> equation of the line in standard form
Answer:
81.9
Step-by-step explanation:
63 of 130 is 48.46%
Steps to solve "what percent is 63 of 130?"
63 of 130 can be written as:
63
130
To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100.
Answer:
0.481, 0.487653287..,. and 0.48953
Step-by-step explanation:
There is no way I could know what numbers Carl has writen because there is an uncountably infinite number of numbers Carl could have written. But if I had to guess it would be 0.481, 0.487653287... and 0.48953
3x-5=10
To find the number:
3x=10+5
3x=15
x=15/3
x=5
Half of the starting amount remains after 1 half-life. So after 6 half-lives, the starting amount is halved 6 times, meaning that a 195 g sample would decay down to
(195 g)/2^6 = 195/64 g ≈ 3 g
