Answer:
6, 21, and 23 inches
Step-by-step explanation:
The perimeter of a triangle is equal to the sum of all side lengths in that triangle. We're given the perimeter as 50 inches, and the side lengths as n, 3n + 3, and 2n + 11.
- This means that we can algebraically solve the equation
Step 1: Combine like terms.
Step 2: Subtract 14 from both sides.
Step 3: Divide both sides by 6.
Step 4: Plug in the value of n as 6 in each side.
Therefore, the side lengths are 6, 21, and 23 inches.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
Step-by-step explanation:
You need to complete the square.
C(x) = 0.02(x^2 - 1000x ...) + 11000
C(x) = 0.02 (x^2 - 1000x + 500^2) + 11000 - 5000
C(x) = 0.02 (x^2 - 1000x + 500^2) + 6000
C(x) = 0.02(x - 500)^2 + 6000
Now if you look at the answer you will find that the square is completed. That means that number of tractors you could produce is 500 at a cost of 6000
There is a flow to this question that you may have trouble understanding.
First of all the 500^2. That comes from taking 1/2 of 1000 and squaring it. That's what you need to complete the square.
Bur that is not what you have adding into the equation. Remember that there is a 0.02 in front of the brackets.
500^2 = 250000
0.02 * 250000 = 5000
So that number must be subtracted to make the square = 0. When you remove the brackets, you should get 11000 all in all.
So what you have outside the brackets is 11000 - 5000 = 6000
The rest is just standard for completing the square.
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That is really easy how don't you know
Answer: Right (Last option)
Step-by-step explanation:
As you can see in the figure, the parallel lines AD and GJ are intersected by two lines.
The line EL intersects the parallel lines and there are two angles that are formed by this intersections which are located on the exterior of AD and GJ, but on opposite sides of EL, (these angles are called "Alternate exterior angles" and they are congruent), which are:
∠LHJ and ∠EBA
You can observe that the angle ∠EBA is indicated with a square. This means that the measure of that angle is 90° (Right angle).
Therefore, if ∠EBA=90°, then ∠LHJ =90°