Answer:
-8x + y = -32
Step-by-step explanation:
Where's the variable x? I will assume you meant -32x + 4y = 4.
Any line parallel to this given line has an equation of the same form but a different constant:
Substituting the coordinates (4, 0) into -32(4) + 4(0) = C, we get:
-128 + 0 + C, and so C = -128, and:
the desired equation is -32x + 4y = -128
or, after reduction, -16x + 2y = -64, or -8x + y = -32
3x + 8(x + 9) = -5
3x + 8x + 72 = -5
11x + 72 = -5
11x + 72 - 72 = -5 - 72
11x = -77
11x/11 = -77/11
x = -7
All you have to do for this equation is to substitute the y in the second equation with what y equals to. Then you distribute and combine like-terms.
Answer:
The angle made by line with positive x axis is more than 90°
Step-by-step explanation:
A line is represented in slope intercept form as
y=mx+c
Where m is called the slope of the line and c is called the y intercept .
Here by slope we means the tangent of the angle , the line makes with the positive x axis .
Now in the case when the coefficient of x is negative , that means the tangent of the angle which line makes with the positive direction of x axis is negative
or
tan = negative
> 90
that means our line makes an obtuse angle that is more than 90° with the positive x axis.
(2p+1)(2p-1) Simplified is 4p2−1
Answer:
10+15i/13
Step-by-step explanation:
This question is about complex numbers.
so,
in this type of questions we have to multiply this fraction by the conjugate of the denominator
conjugate of the denominator is 3-2i
1) 5i(3-2i)/(3+2i)(3-2i)
2) 15i-10i^2/9-4i^2 ( we know that i^2 = -1 )
3) 15i+10/9+4
4) 15i+10 / 13