Answer:
(2,2)
Step-by-step explanation:
Given equations are
x+3y=8 eq(1)
2x-y=2 eq(2)
we'll solve the system of equation by substitution.
Adding -3y to both sides of eq(1),we get
x+3y-3y=8-3y
x+0=8-3y
x=8-3y eq(3)
Put above value of x in eq(2),we get
2(8-3y)-y=2
16-6y-y=2
16-7y=2
Adding -16 to both sides of above equation,we get
-16+16-7y=-16+2
0-7y=-14
-7y=-14
Dividing by -7 to both sides of above equation,we get
-7y/-7=-14/-7
y=2
Putting y=2 in eq(3),we get
x=8-3(2)
x=8-6
x=2
hence, the solution for this system of equations is (2,2).
Answer: The equation in slope intercept form is
y = 2x/5 + 4/5
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = y intercept
m represents the slope of the line.
The given equation is expressed as
2x - 5y + 4 = 0
Adding 5y to the left hand side and the right hand side of the equation, it becomes,
2x - 5y + 5y + 4 = 5y
5y = 2x + 4
Dividing the left hand side and the right hand side of the equation by 5, it becomes,
5y/5 = 2x/5 + 4/5
y = 2x/5 + 4/5
Answer:
C
Step-by-step explanation:
Remark
The slope of the given segment is found by using the 2 end points.
V(3,2) and T(5,7)
Slope of VT
<u>Givens</u>
<u>Formula</u>
m = (y2 - y1)/(x2 - x1)
<u>Solution</u>
m = (7 - 2)/(5 -3)
m = 5/2
Slope of other diagonal
m * m1 = - 1
5/2 * m1 = - 1
5m1 = -1*2 = -2
m1 = -2/5
C
Answer:
dy/dx = (x + 1)(x-4)/(x-1)(x+4)[1/(x+1) + 1/(x-4) -1/(x-1) -1/(x+4)
Step-by-step explanation:
Here, we want to find the derivative using logarithmic differentiation.
What we will do here is to first take the natural logarithm of both sides, then we proceed to differentiate afterwards.
Please check attachment for complete solution and step by step explanation.
