Lets write equation of a function:
y = kx + n
Direct variation in simple is equation of a line which has n=0 or in other words which y to x ratio is k.
First option gets 7=7 but it isnt direct variation because n is not equal to 0
third option is indeed correct. once we implement coordinates (2,7) we get 7=7
Answer is
y = 7/2x
We have two points:
(-3,5) and (2,-3)
I
An equation in oint-slope form has this shape:
y-y₀=m(x-x₀)
m=slope
1) we compute the slope (m) between two points:
Given two points (x₁,y₁) and (x₂,y₂) the slope between these pointw will be.
m=(y₂-y₁)/(x₂-x₁)
In this case, our slope would be:
m=(-3-5)/(2+3)=-8/5
2) we choose one of these points and replace it in the equation, the result will be the same:
(-3,5)
<span>y-y₀=m(x-x₀)
</span>y-5=-8/5(x+3)
Answer: y-5=-8/5(x+3)
1/2(1 - cos(2x))*1/2(1 + cos(2x)) = (2 - √2) / 16
1/4(1 - cos^2(2x)) = (2 - √2) / 16
1/4(1 - 1/2(1 + cos(4x)) = (2 - √2) / 16
1/8(2 - 1 - cos(4x)) = (2 - √2) / 16
1/8(1 - cos(4x)) = (2 - √2) / 16
1 - cos(4x) = (2 - √2) / 2 = 1 - √2/2
cos(4x) = √2/2
4x = arccos(√2/2) = π/4
x = π/16
The solutions are: nπ - 15π/16, nπ - 9π/16, nπ - 7π/16, nπ - π/16.
Answer: 13
Step-by-step explanation:
8-10= 2 - 9 = 11 - 2 = 13 soo that how you got the answer 13 .
Având în vedere expresiile 4a + 7b + 6c și ecuațiile date a + b = 16 și b + 2c = 28.
4a + 7b + 6c pot fi scrise ca
<em>a + a + a + a + b + b + b + b + b + b + b + c + c + c + c + c.</em>
<em>= (a + b) + (a + b) + (a + b) + (a + b) + (b + 2c) + (b + 2c) + (b + 2c).</em>
Înlocuind valorile a + b = 16 și b + 2c = 28, ajungem
(a + b) + (b + 2c) + (b + 2c) + (b + 2c)
= 16 + 16 + 16 + 16 + 28 + 28 + 28
= 64 + 84
= 148.
<h3>
Prin urmare, 4a + 7b + 6c = = 148.</h3>