Answer:
✔️Ratio of weight to mass in simplest form: 49/5 or 49 : 5
✔️x = 110
Step-by-step explanation:
Since the ratio of weight to mass is constant, therefore we can use any pair of values from the table to find the ratio that represents the table. Let's pick the first row:
(20, 196)
Ratio of weight to mass = 196 : 20
= 196/20
= 49/5
Or 49 : 5
✔️Let's use this ratio/proportion to find x in the table
Ratio of weight to mass = 49:5
Thus:
1078/x = 49/5
Cross multiply
x*49 = 1078*5
49x = 5,390
x = 5,390/49
x = 110
Answer:
Step-by-step explanation:
Our equations are

Let us understand the term Discriminant of a quadratic equation and its properties
Discriminant is denoted by D and its formula is

Where
a= the coefficient of the 
b= the coefficient of 
c = constant term
Properties of D: If D
i) D=0 , One real root
ii) D>0 , Two real roots
iii) D<0 , no real root
Hence in the given quadratic equations , we will find the values of D Discriminant and evaluate our answer accordingly .
Let us start with

Hence we have two real roots for this equation.


Hence we do not have any real root for this quadratic

Hence D>0 and thus we have two real roots for this equation.

Hence we have one real root to this quadratic equation.
Answer:
Avg speed 550 miles per hour
Step-by-step explanation:
with the wind 1200 miles traveling
1200/(550+50) = 2 hours
Against the wind
1000/(550-50) = 2 hours
Use Excel graphing. Then make histogram (a graph that represents values with columns)
KE = 1/2(m * v^2)
KE = 1/2(1350 * 12^2)
KE = 1/2(1350 * 144)
KE = 1/2(194,400)
KE = 97,200 Joules