we are looking for an equation perpendicular to y = -2x + 5
The form: y = mx + b
Where m is the pending; and b is the product of X1 for m, add the Y1
The pending of a line that is perpendicular to other line is reprical to the pending ot this other line, and with a different sign.
So, the pending of this first line is -2, the reprical is -1/2. We change the sing and we have 1/2
The second line does have a pending of 1/2 (0.5).
So, this second line pass for the point (0,0), so we have the equation:
y - Y1 = m(x - X1)
Where Y1 and X1 are the points y and x where pass the line.
If the line pass for the points 0 and 0, so:
y - 0 = m(x - 0)
And the pending we know is 0.5, so
y - 0 = 0.5(x - 0)
We pass to the form slop-intercept:
y = 0.5x - (0.5*0) + 0
The same that:
<h2>y = 0.5x</h2>
Cause 0+0=0
Answer:
no
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
1. 7 times 2 is 14 + 6 is 20
2. Add 6 + 4 is 10
2. Add 20 and 10, u get 30
Hope this helps, Good Luck!
Answer:
0.969
Step-by-step explanation:
Given that:
Mean lifetime (m) = 520 hours
Variance = 900
Hence, standard deviation (s) = √900 = 30
Probability that bulb will last for at most 576 hours
X ≤ 576
Obtain the standardized score :
Using the relation :
Zscore = (x - m) / s
Zscore = (576 - 520) / 30
Zscore = 56 / 30
Zscore = 1.867
P(Z ≤ 1.867) : using the z probability calculator ;
P(Z ≤ 1.867) = 0.96905
Hence, P(Z ≤ 1.867) = 0.969
Hello,
Since 3sin x-4sin^3x=sin (3x) (*****)
3sin x-4sin^3x=-1
==>sin (3x)=-1
==>3x=3π/2 +2kπ
==>x=π/2+2kπ/3, k being an integer
(*****)
sin (3x)=sin(x+2x)=sin x cos2x+cos x sin 2x
=sin x(cos²x-sin²x)+2cos²x sin x
=sin x(cos²x+2cos²x-sin²x)
=sinx(3(1-sin²x)-sin²x)
=3sin x-4sin^3x
