1. let x = a number
x^2+5
2. let x = a number
2x-(x+19)
3. let x = a number
2x=1/3x + 9
4. let x = 1st integer
x+1 = 2nd integer
x+2 = 3rd integer
(x+x+1+x+2)/4
=(3x+3)/4
5. let x=smallest integer
x+1 = 2nd integer
x+2 = 3rd integer
x+3 = largest integer
x+x+1+x+2+x+3 = 9(x+3)
= 4x+6= 9x+27
Answer:
x = 35/22
y = 3/22
Step-by-step explanation:
y= 2/5x-1/2 ................(1)
y=-1/3x+2/3 ...............(2)
10*(1)
10y = 4x -5 ...................(1A)
3*(2)
3y = -x +2 ....................(2A)
To find intersection, solve for y & x
4(2A) + (1A)
12y+10y = -4x+4x +8-5
22y = 3
y = 3/22
Substitute in (1)
3/22 = 2/5x -1/2
multiply by 110
15 = 44x - 55
70 = 44x
x = 70/44 = 35/22
Given:
The perimeter of a rectangular building is 1200 feet.
The width of the building is 2 feet less than three times the length.
To find:
Width of the building.
Solution:
Let length of the building be x.
Then, width = 3x-2
We know that,
Add 4 on both sides
Divide both sides by 8.
Now,
Therefore, the width of the building is 449.5 feet.
Move the -7 to the right, its sign will flip (do you know why?)
Negate both sides to change -x to x
-x = 16+7
-x = 23
x = -23
Know that:
sin(β)=Opposite/Hypotenuse
Therefore:
sin(54)=x/10
Therefore:
x=10*sin(54)
x=8.1 (To the nearest tenth)
