Answer:
1 and -3
Step-by-step explanation:
There is a lot of numbers
Given the coordinates of the vertices of a polygon (−2, −2) , (−2, 3) , (2, 4) , (3, 1) , and (0,−2), the perimeter of the polygon is 18. It is the sum of the length of five sides.
Let 'x' represent the volume of 6% saline solution
Let 'y' represent the volume of 8% saline solution
Form 2 equations.
Eq. 1: 20+x=y
Meaning 20 cm³ + x cm³=y cm³
Eq 2: 0.06x+0.1(20)=0.08y
Meaning: 6% of x + 10% of 20= 8% of y
Use substitution or elimination to solve this linear system. I used substitution.
Sub. Eq. 1 (20+x=y) into Eq. 2 (0.06x+0.1(20)=0.08y)
0.06x+ 0.1(20)=0.08(20+x)
0.06x+2+1.6=0.08x
-0.02x= -0.4
x=20
Substitute x=20 into equation 1 (you can also use 2 but in this case equation 1 is simpler)
20+x=y
20+20=y
40=y
To check, substitute x=20 and y=40 into equation 2
0.06x + 0.1(20)= 0.08y
0.06(20) +2 = 0.08(40)
1.2+2= 3.2
3.2=3.2
Therefore, Kim would need 20cm³ of 6% saline solution and 40cm³ of 10% saline solution to make 8% solution.
Answer:
x = 6
Step-by-step explanation:
Given that the line segment is an angle bisector then the following ratios are equal
= 
, that is
= ( cross- multiply )
13(6x - 1) = 7(10x +5) ← distribute parenthesis on both sides
78x - 13 = 70x + 35 ( subtract 70x from both sides )
8x - 13 = 35 ( add 13 to both sides )
8x = 48 ( divide both sides by 8 )
x = 6
