ANSWER: x=5/3, -1. Good luck. Hope this suffices.
Explanation for x=-1: |9x-3|=12. Lets take the absolute value brackets away for a sec. Add 3 to both sides 9x-3+3=-12+3, simplify: 9x=-9, divide both sides by nine:9x/9=-9/9. And that means that x=-1.
Explanation for x=5/3: |9x-3|=12. Add 3. 9x-3+3=12+3. Simplify: 9x=15. Divide both sides by 9. 9x/9=15/9. Simplify: x=5/3
Answer:
number of units for cost to be minimum=150
Step-by-step explanation:
y=2x^2-600 x+49000
dy/dx=4x-600
dy/dx=0 gives 4x-600=0
4x=600
x=150
d^2y/dx^2=4x
at x=150,d^2y/dx^2=4*150=600>0
so y is minimum at x=150
Well, to find the perimeter we have to add all of the side lengths, so let's do that:
2x+3 +2x+3 +2x
And we know that this equals 36 so let's solve for x
2x+3+2x+3+2x = 36
6x+6 = 36
6x = 30
x = 5
So we know know that x = 5.
Now all you have to do is plug in the values of x into the lengths
2(5) + 3
= 10+3
= 13 is the length of two of the sides.
2x
= 2(5)
= 10
And 10 is the length of the last side.
<h2><u>
Answer With Explanation:</u></h2>
<u>Firstly, let's start with <XOZ: =55°</u>
We know that <ZOQ is 70° and angles on a line add up to 180° so we do 180-70=110 110 divided by 2 = 55 so the 2 angles (XOZ & XOP are 55)
<u>Secondly, <OMN, <MON & <ONM = All are 60°</u>
These 2 angles are joined to create an equilateral triangle which always adds up to 180°
So, there are 3 points to this triangle, therefore we divide 180 by 3 which is 60. The angles are 60°
<u>Thirdly, <QON: =55°</u>
This angle lies on the line XON which needs to add up to 180°
As we worked out before, <XOZ was 55°
So, <ZOQ was already given as 70°
We then do 55+70=125 then 180-125=55°
<QON is 55°
(I'm only in Grade 9 LOL)
Start by finding the area of each smaller right triangle.
Right triangle area = (1/2)hb -> h = height & b = base
b = 4 & h = 3
(1/2)(4)(3) = 6
6*2 = 12 (there are two right triangles)
The area of the entire triangle is 12yd^2
