The equation of a line is written as y =Mx + b, where m is the slope and b is the y intercept, which is the y value when x = 0.
You are told the slope is -1/4, so replace m with -1/4. You are also given the point (0,0) which means when x is 0, y is also 0, so replace b with 0.
The equation becomes y= -1/4x + 0
Because y is 0 you aren’t adding anything to the equation so you can remove it from the equation.
Answer is y = -1/4x
Answer:
1.) Multiply the number of pounds by 4 to find total cost.
2.) 280 miles
3.) Multiply 40
4.) Multiply 12 each time: 56*12 = 672
5.) This is the same question as in picture 4
Hope this helps!
Answer: y=x^8-x^7+x^6-x^5+x^4+x^3+x^2+3
Step-by-step explanation:
here is an example function that satisfies the requirement:
y=x^8-x^7+x^6-x^5+x^4+x^3+x^2+3
if you plug in x=0,
you get y= 3, which satisfies (0,3)
if you plug in x=1,
you get y = 1 - 1 + 1 - 1 + 1 + 1 + 1 + 3,
you get y=6, which satisfies (1,6)
Use the Distributive property to solve.
Hope that helps!
cos(2<em>θ</em>) + sin²(<em>θ</em>) = 0
Half-angle identity:
cos(2<em>θ</em>) + (1 - cos(2<em>θ</em>))/2 = 0
Simplify:
2 cos(2<em>θ</em>) + 1 - cos(2<em>θ</em>) = 0
cos(2<em>θ</em>) = -1
Solve for <em>θ</em> :
2<em>θ</em> = arccos(-1) + 2<em>nπ</em>
2<em>θ</em> = <em>π</em> + 2<em>nπ</em>
<em>θ</em> = <em>π</em>/2 + <em>nπ</em>
where <em>n</em> is any integer.
