SO first you want to change it to Y=mX+b by getting the y by itself. Subtract 3x over and have -6y=-3x=12 divide both sides by -6 and have y=1/2x-2. To get the perpendicular slope you flip it 1/2 to 2 then change its sign 2 to -2
The new slope is -2
Total eaten pizza = 2/8 + 3/8 = 5/8
Left pizza = 1 - 5/8 = 3/8
In short, Your Answer would be 3/8
Hope this helps!
Answer:
Step-by-step explanation:
The theorem is used to prove △ABC≅△DEC is Side-Angle-Side(SAS) theorem
The two triangles are
△ABC and △DEC
Here we have to prove that the △ABC and △DEC are congruent
It is given that
The length of AC = The length of CD
The angle ACB = The angle ECD
The point C is the midpoint of EB
Therefore,
The length of BC = The length of EC
Therefore, the two sides and one angle of triangle ABC is equal to the two sides and one angle of triangle DEC, so the both triangles are congruent by SAS rule
Hence, the theorem is used to prove △ABC≅△DEC is Side-Angle-Side(SAS) theorem.
Learn more about congruence of triangle here
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Answer:
a. f(0) = 4
b. f(6) = 8
Step-by-step explanation:
This is a piecewise function, so the actual equation is on the left, and the inequalities are on the right.
If x = 0, this would fall under the first part of the function because x < 5 is the requirement for the first part. Then, evaluating it: f(0) = 0 + 4 = 4.
If x = 6, this would fall under the second part of the function because 5 x < 7 is the requirement. 6 falls under this category, so that means the second part of the function is used. Because it is a constant, 8, this evaluates to f(6) = 8.