So the equation has to pass through (6,-1) and be perpendicular to y = -2x + 8.
The slope is -2, and to get the slope of a line perpendicular to another line you have to find the negative reciprocal of that slope. That means -2 is equal to
-2/1, and if you flip those numbers and find the opposite of that number making it positive, the slope of a line perpendicular to it is 1/2.
But the line also has to pass through (6,-1), so we have to find the y-intercept of the new line.
To do that, you multiply 6(the x) by the 1/2(the slope) and get 3. Then you subtract 3(previous answer) from -1(the y) and get -4. That means the y-intercept is -4!
All that's left is to build the equation with this information. The equation is:
y = -4 + 1/2x
Hope this helps!
Answer:
210 + -1x
Step-by-step explanation:
Simplifying
X + (x + -30) = 180
Reorder the terms:
X + (-30 + x) = 180
Remove parenthesis around (-30 + x)
X + -30 + x = 180
Reorder the terms:
-30 + X + x = 180
Solving
-30 + X + x = 180
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '30' to each side of the equation.
-30 + X + 30 + x = 180 + 30
Reorder the terms:
-30 + 30 + X + x = 180 + 30
Combine like terms: -30 + 30 = 0
0 + X + x = 180 + 30
X + x = 180 + 30
Combine like terms: 180 + 30 = 210
X + x = 210
Add '-1x' to each side of the equation.
X + x + -1x = 210 + -1x
Combine like terms: x + -1x = 0
X + 0 = 210 + -1x
X = 210 + -1x
Simplifying
X = 210 + -1x
Answer: First Option
Walter needs to make at least 5 more cookies but no more than 40
Step-by-step explanation:
If we call x the number of cookies that Walter needs to make, then we know that the amount of cookies will be:
Then this amount must be greater than or equal to 20 and must be less than or equal to 55 then.
and 
This is:
We solve the inequality for x.
Then the amount of cookies that Walter must make must be greater than or equal to 5 and less than or equal to 40
Answer:
Step-by-step explanation:
You would have to do the distributive property and thats how you get your answer.
