4x -3y + z = -10...............(1)
2x +y + 3z = 0...............(2)
-x +2y - 5z = 17...............(3)
First we multiply 3*(2) and add it to (1)
6x +3y +9z =0..................+(1)..................> 10x + 10z = -10......(4)
Then we multiply -2*(2) and add it to (3)
-4x -2y -6z =0 ...................+(3)................> -5x -11z = 17...........(5)
Multiply 2*(5) and add it to (4)
-10x -22z = 34...................+(4).................> -12 z = 24 ..............>>> z = -2
Substitute z in (4)............> 10x +10(-2) = -10.............................>>> x = 1
Substitute x and z in (2).....> 2(1) +y + 3(-2) = 0..................>>> y = 4
Solution (x,y,z) = (1,4,-2)
A)linear because it is increasing by same amount each month
b) it's around 110 percent
9514 1404 393
Answer:
y = 8
Step-by-step explanation:
It can be useful to write down the values of corresponding parts of the figures. This can help you see the ratio between corresponding measures. Here, we're concerned with sides.
AB = ?, FE= 6
BC = 10, EC = 5 . . . . . a ratio of 2:1
CD = ?, CG = ?
DA = y, GF = 4
So, the proportionality of the sides in these similar figures means ...
y/4 = 10/5
y = 4×10/5
y = 8 . . . . multiply by 4
Answer:
Step-by-step explanation:
Area of outer triangle = 
= 2x*4x + 2x*3
= 8x² + 6x
Area of inner triangle= 
Area of aluminium = area of outer triangle - area of inner triangle
= 8x² + 6x + 2x² + 5x
= 10x² + 11x
Area of 20 aluminum borders = 20*(10x² + 11x) = 200x² + 220x
b) x = 25 cm
Area of 20 aluminum borders = 200*25² + 220*25
= 200 * 625 + 220*25
= 125000 + 5500
= 130500 cm²
c) Area of inner triangle (Glass) = 5500 cm²
Cost of aluminium = 130500 * 0.06 = $ 7830
Cost of glass = 5500 * 0.03 = $ 165
Cost of making 20 windows = 7830 + 165 = $ 7995
1/5 3/5 7/10 4/5 Change the denominators all to 10 to be able to but them in order
