Answer:
30
Step-by-step explanation:
i think that cause the lines are perpendicular and if one side is a certain number the other is going to be the same, such as symmetrical things.
Answer:
The maximum value of C is 68
Step-by-step explanation:
we have the following constraints
----> constraint A
----> constraint B
----> constraint C
----> constraint D
Find out the area of the feasible region, using a graphing tool
The vertices of the feasible region are
(0,0),(5,19),(5,0)
see the attached figure
To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertex in the objective function and then compare the results
For (0,0) ----->
For (5,19) ----->
For (5,0) ----->
therefore
The maximum value of C is 68
3(8+4)...Is an expression
First I will present the polynomial itself: it is
5x^3 - 22x^2 - 3x - 53.
Let's show that when this poly. is divided by (x-5), the quotient is 5x^2 + 3x + 12 and the remainder is 7. Use synthetic division here. Let the divisor be 5 (this comes from the factor (x-5). Then:
__________________
5 / 5 -22 -3 -53
25 15 60
----------------------------
5 3 12 7 where 5 3 12 are the coeff. of the quotient and 7
is the remainder.
Now work backwards. Multiply (x-5) and (5x^2 + 3x + 12) together. We get
5x^3 + 3x^2 + 12 x - 25x^2 - 15x - 60, or
5x^3 - 22x^2 - 3x - 60. Now add the remainder (7) to -60; the result will be -53.
So the poly in question is 5x^3 - 22x^2 - 3x - 53.
The measure of the supplement angle is 63°
Step-by-step explanation:
If two angles are supplementary then the sum of their measures is 180°
The given is:
- Two supplementary angles
- One of them is 9 less than twice its supplement
We need to find the measure of the supplement
∵ The two angles are supplementary
∴ The sum of their measure is 180°
Assume that the measure of the supplement angle is x°
∵ An angle is 9 less than twice its supplement
- twice means times 2 and 9 less means subtract 9
∵ The measure of the supplement is x°
∴ The measure of the angle = (2x - 9)°
∵ The sume of the measures of the two angles = 180°
∴ (2x - 9)° + x° = 180°
- Add like terms
∴ (2x + x) - 9 = 180
∴ 3x - 9 = 180
- Add 9 to both sides
∴ 3x = 189
- Divide both sides by 3
∴ x = 63°
The measure of the supplement angle is 63°
Learn more:
You can learn more about supplementary angles in brainly.com/question/11175936
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