Going to be number two becaus
Answer:
2y - 3x = -15
Step-by-step explanation:
Slope of the line 4x + 6y = 1 is as shown below;
Rewrite in slope intercept form;
6y = -4x+1
y = -4x/6 + 1/6
y = -2x/3 + 1/6
mx = -2/3x
m = -2/3
The slope of the line perpendicular M = -1/(-2/3)
M = 3/2
Get the x and y intercept of 2x+3y = 18
x intercept occurs when y = 0
2x + 0 = 18
x= 18/2
x = 9
y intercept occurs when x = 0
0 + 3y = 18
3y= 18
y = 18/3
y = 6
The line passes through the point (9,6)
Write the equation in point slope form
y - y0 = m(x-x0)
y - 6 = 3/2(x-9)
2(y-6) = 3(x-9)
2y - 12 = 3x - 27
2y - 3x = -27 + 12
2y - 3x = -15
This gives the required equation
Answer:
y= 13/6 xn - 3/2,x€ R, n€ R
Answer:
Step-by-step explanation:
(a + 7b)(a + 4b)
a^2 + 4ab + 7ab + 28b^2
a^2 + 11ab + 28b^2
Answer:
The measure of angle N is 55°
Step-by-step explanation:
we know that
the law of cosines established
a² = b² + c² – 2*b*c*cos(A)
so
In this problem we have
a=ML=5.74 units
b=LN=4 units
c=MN=7 units
∠A=∠N=?
see the attached figure to better understand the problem
a² = b² + c² – 2*b*c*cos(A)------> cos (A)=[b²+c²-a²]/[2*b*c]
cos (A)=[4²+7²-5.74²]/[2*4*7]------> 0.57236
A=arc cos (0.57236)--------> A= 55°
therefore
The measure of angle N is 55°
