Step-by-step explanation:
We khow the sum and the product of the zeroes of this quadratic polynomial
Here is a trick :
when we khow the sum S and the product P ofvtwo numbers we can find them by solving :
x²-Sx+p=0
here S= -8 and P=12
so:
x²+8x+12=0
Let Δ be the discrminant of this equation: a= 1 , b= 8 and c=12
Δ= 8²-4*12 =16
the zeros are:
(-8-4)/2= -6
(-8+4)/2 = -2
verify:
-6+(-2)= -8
-2*(-6)= 12
now the polynomial quadratic is:
(x+6)(x+2)
The answer would be 5.79
Hope I helped :)
I think it's 138 Long by 109.5 more accurate .
92/73 = 1.26
120/100 = 1.2
138/109.5 =1.26
Hence 138 by 109.5 is more proportionate
Answer:
Please check the explanation.
Step-by-step explanation:
Given that the measures of the Angles of the triangle ΔXYZ are in the ratio 2:4:6.
- As the angles are in the proportion 2:4:6. Thus, the measure of the angles will have the same scale factor x.
Also, the sum of the measure of angles in a triangle is 180°.
so
2x + 4x + 6x = 180
Add similar elements: 2x + 4x + 6x = 12x
12x = 180
Divide both sides by 12
12x/12 = 180/12
Simplify
x = 15
Therefore, the measure of the angles of a triangle will be:
2x = 2(15) = 30
4x = 4(15) = 60
6x = 6(15) = 90
Verification:
30 + 60 + 90 = 180
180 = 180
The following that are rational numbers are 1.23 and -0.56
