Answer:
I think it's -6x-18, this queston uses distributive property, so you must multiply each term inside the parenthesis to the number outside the parenthesis.
<span>m=10x-x for x
first subtract x from 10x
m=9x
divide both sides by 9
m/9=x
x=m/9</span>
Answer:
About 425
Step-by-step explanation:
Tell me if you want the explanation.
Equation of a line tha passes through thte point (x1,y1) and has a lsope of m is
y-y1=m(x-x1)
given
m=1/2
point is (2,-1)
x1=2
y1=-1
y-(-1)=1/2(x-2)
y+1=1/2(x-2)
if yo want slope intercept
y+1=1/2x-1
y=(1/2)x-2
The line 2x +3y = 1 is tangent to 4x^2 -9y^2 = 19
:
Solve the linear equation for y
:
1) y = -2x/3 +1/3
:
substitute for y in the equation of the hyperbole
:
4x^2 -9(-2x/3 +1/3)^2 = 19
:
4x^2 -9(4x^2/9 -4x/9 +1/9) = 19
:
4x^2 -4x^2 +4x -1 = 19
:
4x -20 = 0
:
4x = 20
:
x = 5
:
use equation 1 to get the value of y
:
y = -2(5)/3 +1/3 = -3
:
******************************************************************
solution is x = 5, y = -3 which is the point (5, -3)
:
check the solution
:
hyperbole
:
4(5^2) -9(-3)^2 = 19
:
100 -81 = 19
:
19 = 19
:
Line
:
2(5) +3(-3) = 1
:
10 -9 = 1
:
1 = 1
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