Answer:
I, II and III
Step-by-step explanation:
Two sides of a triangle have length 6 and 8.
the maximum possible area occurs in the right angle .
To find maximum area we use the area of the triangle formula
![area of triangle = \frac{6 \cdot 8}{2} = 24](https://tex.z-dn.net/?f=area%20of%20triangle%20%3D%20%5Cfrac%7B6%20%5Ccdot%208%7D%7B2%7D%20%3D%2024)
So maximum possible area is 24 units^2
all the given possible values are less than and equal to 24
so all the three options are correct
I, II and III
Y = 5x + 5
y - x = 5
You can use substitution to solve this system. Use y's expression (5x + 5) for y in the second equation to solve for x:
y - x = 5
5x + 5 + x = 5
6x + 5 = 5
6x = 0
x = 0
Substitute your value for x into one of the original equations to y:
y = 5x + 5
y = 5(0) + 5
y = 5
Finally, substitute both values into both original equations to check your work:
5 = 5(0) + 5 --> 5 = 5 <--True
5 - 0 = 5 --> 5 = 5 <--True
Answer:
x = 0
y = 5
Answer:
hmmm i think you need to dod
Step-by-step explanation:
yeah
Answer:
See explanation
Step-by-step explanation:
Let x be the number of simple arrangements and y be the number of grand arrangements.
1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so
![x\ge 2y](https://tex.z-dn.net/?f=x%5Cge%202y)
2. A florist can make a grand arrangement in 18 minutes
hour, then he can make y arrangements in
hours.
A florist can make a simple arrangement in 10 minutes
hour, so he can make x arrangements in
hours.
The florist can work only 40 hours per week, then
![\dfrac{3}{10}y+\dfrac{1}{6}x\le 40](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B10%7Dy%2B%5Cdfrac%7B1%7D%7B6%7Dx%5Cle%2040)
3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.
The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.
Total profit: $(10x+25y)
Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines
and ![\dfrac{3}{10}y+\dfrac{1}{6}x=40](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B10%7Dy%2B%5Cdfrac%7B1%7D%7B6%7Dx%3D40)
But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is
![\$(10\cdot 126+25\cdot 63)=\$2,835](https://tex.z-dn.net/?f=%5C%24%2810%5Ccdot%20126%2B25%5Ccdot%2063%29%3D%5C%242%2C835)
Answer:
Square roots are when you multiply the same number by itself like for example, the square root of 5 is 25, because 5*5=25
Step-by-step explanation: