Answer:
The solution is (3 , 1)
Step-by-step explanation:
To solve the system of the equation you can use the elimination method or substitution method.
We will use the substitution method
From the first equation x + 2y = 5⇒get x = 5 - 2y
In the second equation 3x + 5y = 14⇒we will substitute x by 5 - 2y
3(5 - 2y) + 5y =14
15 - 6y + 5y = 14
-6y + 5y = 14 - 15
-y = -1
y = 1
Substitute the value of y in x = 5 - 2y
x = 5 - 2(1) = 5 -2 =3
∴ The solution of the system of equations is (3 , 1)
Answer:
43°
Step-by-step explanation:
In a isosceles triangle, two angles HAVE to be equal.
This means that 94 can be one of the angles that are equal, or the angle that is not equal to another angle.
Let's start with the fact that 94 can be one of the angles that are equal. (Note: angles in a triangle add up to 180)
94+94+x=180
188+x=180
There is NOT a possible value for x in this situation, as you cannot have a negative value of an angle. Therefore we must try the other situation where 94 is the angle that is not equal to another angle.
x+x+94=180
2x+94=180
Subtract 94 from both sides
2x=86
Divide both sides by 2
x=43
Therefore the answer is 43°
Create a conversion factor from "<span>There are 6.02 × 10^23 atoms in 1 gram of hydrogen:"
6.02*10^23 atoms
-------------------------
1 gram
Then mult. 800 grams by this conversion factor:
</span>6.02*10^23 atoms 800 grams
------------------------- * ----------------
1 gram 1
This comes out to 4816*10^23 atoms, which, in scientific notation, is
4.816*10^26 atoms.
Answer:
3/12: terminating; 2/9: repeating
Step-by-step explanation:
3/12=0.25 terminating as it has a finite number of digits after the decimal point.
2/9=0.222.... repeating decimal as its number is repeated indefinitely.
Consider the equation 
, it can be expressed as 
.
Now, we have to write the equivalent equation.
Since, Equivalent equations are those equations which have exactly same solution. We can say that the two equations are equivalent if solution of one equation is the solution of other equation.
So, consider the equation 
Equivalent equation can be obtained by multiplying the given equation by any number say '2'.
Multiplying both sides of the given equation by '2'.
is the required equivalent equation.
