<span>1.7a+0.3a=4/5
2a = 4/5
a = 4/5 * 1/2
a = 4/10
a = 2/5</span>
Answer:
The equation of the line would be y = -2/3x + 5
Step-by-step explanation:
In order to solve this, start by finding the slope of the original line. You can do this by solving for y.
3x = 2y + 4
-2y = -3x + 4
y = 3/2x - 2
Now that we have a slope of 3/2, we know that the perpendicular slope is -2/3 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 1 = -2/3(x - 6)
y - 1 = -2/3x + 4
y = -2/3x + 5
Answer:
B
Step-by-step explanation:
A rectangle is a parallelogram because its pairs of opposite sides are parallel. A rectangle also has the characteristic that all of its angles are right angles; all four of its angles are congruent.
Barinliest??
$0.50, because if you divide 4.0 by 8 you get .5.
Answer:
imaginary roots
Step-by-step explanation:
For a quadratic in the form ...

the discriminant is ...

You have a=1, b=-6, c=12, so the discriminant is ...
d = (-6)² -4(1)(12) = 36 -48 = -12
When the discriminant is negative, both roots are complex. When the discriminant is not a perfect square, both roots are irrational. Here, the discriminant is negative and not a perfect square, so the roots are complex with an irrational imaginary part.
The best single descriptor is <em>imaginary root</em>.
_____
The roots are (-b±√d)/(2a) = (6 ± 2i√3)/2 = 3 ± i√3. These roots have a rational real part and an irrational imaginary part. When the number with an imaginary part has a non-zero real part, it is called "complex", rather than "imaginary."