Answer:
Step-by-step explanation:
Okay, so I think I know what the equations are, but I might have misinterpreted them because of the syntax- I think when you ask a question you can use the symbols tool to input it in a more clear way, otherwise you can use parentheses and such.
Problem 1:
(x²)/4 +y²= 1
y= x+1
*substitute for y*
Now we have a one-variable equation we can solve-
x²/4 + (x+1)² = 1
x²/4 + (x+1)(x+1)= 1
x²/4 + x²+2x+1= 1
*subtract 1 from both sides to set equal to 0*
x²/4 +x^2+2x=0
x²/4 can also be 1/4 * x²
1/4 * x² +1*x² +2x = 0
*combine like terms*
5/4 * x^2+2x+ 0 =0
now, you can use the quadratic equation to solve for x
a= 5/4
b= 2
c=0
the syntax on this will be rough, but I'll do my best...
x= (-b ± √(b²-4ac))/(2a)
x= (-2 ±√(2²-4*(5/4)*(0))/(2*(5/4))
x= (-2 ±√(4-0))/(2.5)
x= (-2±2)/2.5
x will have 2 answers because of ±
x= 0 or x= 1.6
now plug that back into one of the equations and solve.
y= 0+1 = 1
y= 1.6+1= 2.6
Hopefully this explanation was enough to help you solve problem 2.
Problem 2:
x² + y² -16y +39= 0
y²- x² -9= 0
You multiply a number by 3 subtract 6 then add 2 the results is 20
what's the number ?
Let the number = x
multiply a number by 3
so, it becomes 3x
subtract 6 , so, 3x - 6
then add 2
so, 3x - 6 + 2
The result will be 20
So,
3x - 6 + 2 = 20
solve for x
3x - 4 = 20
Add 4 to both sides
3x - 4 + 4 = 20 + 4
3x = 24
Divide both sides by 3
3x/3 = 24/3
So,
x = 8
The correct answer it would be B
Ford
12Answer:
Step-by-step explanation:
Answer: Step-by-step explanation: We are given an exponential equation.We need to convert it into it's equivalent equation.Let us factor 4.4 = 2 × 2Therefore, 2 × 2 could be written as .Now, let us factor 64 in terms of 2's.64 = 2 × 2× 2× 2× 2× 2 = .Replacing 4 by and 64 by in original equation, we get Distributing 2 over (x+3), we get