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
2x16 is 32 so you would take square root of 16 out which is 4 and leave the 2 inside. So the answer is 4sqrt(2)
Answer:
Problem 23) 
Problem 24) 
Step-by-step explanation:
step 1
Find the slope of the given line
The formula to calculate the slope between two points is equal to

we have

Substitute the values


step 2
Problem 23
we know that
If two lines are perpendicular then the product of its slopes is equal to minus 1
so

Find the slope of the line
we have

substitute in the equation and solve for m2


with the slope m2 and the point
find the equation of the line
Remember that
The equation of the line in slope intercept form is equal to

we have

-----> the given point is the y-intercept
substitute

step 3
Problem 24
we know that
If two lines are parallel, then its slopes are the same
so
with the slope m1 and the point
find the equation of the line
The equation of the line in slope intercept form is equal to

we have

-----> the given point is the y-intercept
substitute

Answer:
3^12
Step-by-step explanation:
When multiplying the same number with different exponents you have to add the the exponents. For example:

So (3^6)(3)(3^5) or (3^6)(3^1)(3^5) = 3^(6+1+5) = 3^12
Multiply 7.22 onto 10b and -3
new equation - 72.2b-21.66=7b-14
add 21.66 onto -14
new equation - 72.2b=7b+7.66
subtract 7b from 72.2
new equation: 65.2b=7.66
divide 65.2 from b
new equation: b=7.66/65.2
final answer: b=0.117