Answer:
y = 2x + 1
Step-by-step explanation:
A line y = ax + b that is perpendicular to the other line y = (-1/2)x + 7
=> The product of 2 slopes of these 2 lines must be -1
=> a x (-1/2) = -1
=> a = 2
This line passes (2, 5) => 5 = 2*2 + b => 5 = 4 + b => b = 1
=> The equation of the line: y = 2x + 1
Hope this helps!
<h2>
Probability that the second marble will be blue is 0.44</h2>
Step-by-step explanation:
There are 10 marbles in a bag. 3 are red, 4 are blue, 2 are green, and 1 is yellow.
Total number of marbles = 10
Given that first marble is yellow.
New total number of marbles = 10 - 1 = 9
Now we have 3 are red, 4 are blue, 2 are green.
Number of blue marbles = 4
We need to find drawing probability of blue marble from 9 marbles.
Let the probability be, p
Probability that the second marble will be blue is 0.44
It is 546.4583333333333, which would simplify to 546.46 if to the hundredths place or 546.5 to the tens place
Answer:
c₁ = 1/2 cos⁻¹ (2/π) = 0.44
c₂ = -1/2 cos⁻¹ (2/π) = -0.44
Step-by-step explanation:
the average value of f(x)=2 cos(2x) on ( − π/ 4 , π/ 4 ) is
av f(x) =∫[2*cos(2x)] dx /(∫dx) between limits of integration − π/ 4 and π/ 4
thus
av f(x) =∫[cos(2x)] dx /(∫dx) = [sin(2 * π/ 4 ) - sin(2 *(- π/ 4 )] /[ π/ 4 - (-π/ 4)]
= 2*sin (π/2) /(π/2) = 4/π
then the average value of f(x) is 4/π . Thus the values of c such that f(c)= av f(x) are
4/π = 2 cos(2c)
2/π = cos(2c)
c = 1/2 cos⁻¹ (2/π) = 0.44
c= 0.44
since the cosine function is symmetrical with respect to the y axis then also c= -0.44 satisfy the equation
thus
c₁ = 1/2 cos⁻¹ (2/π) = 0.44
c₂ = -1/2 cos⁻¹ (2/π) = -0.44
-4x+8z is the combined like terms
