The values of p for which the equation px = 10 have a solution −5; 1; 20 is -2, 10,
<u>Solution:</u>
Given, equation is px = 10.
We have to find the values of p for which solutions of given equations becomes -5, 1, 20.
We just need to substitute -5, 1, 20 in given equation as x, to values of p.
Now, For -5 ⇒ p(-5) = 10 ⇒ -5p = 10 ⇒ p = -2
For 1 ⇒ p(1) = 10 ⇒ p = 10
For 20 ⇒ p(20) = 10 ⇒ 20p = 10 ⇒ p =
Hence, the values of p are -2, 10, for the solutions -5, 1, 20 respectively.
9514 1404 393
Answer:
107/18
Step-by-step explanation:
Your calculator and/or knowledge of trig function values can help you evaluate this.
= 4/3(1/3) +3/4 -3(3/4) +3(3) -2(1)
= 4/9 +3/4 -9/4 +9 -2
= 107/18
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tan(30°) = 1/√3
tan(45°) = 1
tan(60°) = √3
sin(60°) = cos(30°) = √3/2
Answer:
Step-by-step explanation:
Given lines in parametric form
line
direction vector of
Line
direction vector of
therefore
thus lines are parallel.
(ii)distance between two lines is
is given by
=s
=3s
where =3
=-2
=-3
=-9
=6
=9
distance(d)=0 units since value of the matrix
is zero