Answer:
2√5
Step-by-step explanation:
The formula for the distance between a point (x, y) and a line in general form, ax +by +c = 0 is ...

The general form of your equation for the line is ...
2x +y -6 = 0
so the distance to point (x, y) = (4, 8) is ...

The distance between the point and line is 2√5.
Answer:
197 in ^2 (answer B of the list)
Step-by-step explanation:
Notice that this figure has a total of 6 faces, four of which are rectangles (whose area is calculated as "base times height") and two trapezoids (whose area is (B+b)H/2 ).
The total surface area is therefore the addition of these six areas:
Rectangles:
5 in x 5 in = 25 in^2
5 in x 5 in = 25 in^2
5 in x 6.4 in = 32 in^2
9 in x 5 in = 45 in^2
Trapezoids:
Two of equal dimensions: B = 9 in, b = 5 in, H = 5 in
2 * (9 in + 5 in) 5 in /2 = 70 in^2
Which gives a total of (25 + 25 + 32+45 + 70) in^2 = 197 in^2
This agrees with answer B of he provided list.
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
f -----> the number of pounds of fertilizer
s ----> the number of pounds of seeds
we know that
The inequality that represent the situation is

using a graphing tool
see the attached figure
The solution is the triangular shaded area
Answer:
2x2 - 5x - 12 = 0.
(2x + 3)(x - 4) = 0.
2x + 3 = 0 or x - 4 = 0.
x = -3/2, or x = 4. I hope this helps
Step-by-step explanation: