Answer:
C(0,6)
Step-by-step explanation:
1) find the length of the base of the triangle
AB = 7-3 = 4
2) find the the height of the triangle
A = (base x height)/2
A x 2 = base x height
height = (A x 2)/base
height = (12 x 2)/4 = 6
3) find the equation of the line that passes threw the points AB
the two points have the same y so the equation of the line is
y = 0
4) use the formula of the distance between a point and a line to find C
|ax+by+c|/√a^2 + b^2 = distance
x = 0
y = 6
C (0,6)
Using f(x) = y, we know that a graph of the function contains the (x,y) points (2,5) and (6,-1). first find the slope of that line,
m = (y2 - y1)/(x2 - x1) ⇒ -6/4⇒-3/2
then using either point (I'll use the first one) solve for b in y = mx + b.
5 = (-3/2)(2) + b⇒ 5 = -3 + b⇒ 8 = b.
So y = (-3/2)x + 8 ⇒ f(x) = (-3/2)x + 8.
Answer:
x =7 x = -7 2/3
Step-by-step explanation:
| 3x + 1 | =22
Absolute value equations have 2 solutions, one positive and one negative
3x+1 = 22 3x+1 = -22
Subtract 1 from each side
3x+1-1 =22-1 3x+1-1 = -22-1
3x= 21 3x = -23
Divide each side by 3
3x/3 = 21/3 3x/3 = -23/3
x =7 x = -7 2/3
You would need to find the area of which the irrigation would cover:
Area of a circle=pi*r^2
=300^2*pi
=90000pi ft^2
Hope this helps
Answer: -657,987
Step-by-step explanation:
