Add 25 to both sides x-25 +25 =7 +25
x =32
(2x^3)*(5x^2)+(2x^3)*(4)+(1)*(5x^2)+(1)*(4)
10x^5+8x^3+5x^2+4
first you need to find the slope (m) using y2-y1/x2-x1.
-4-2/4-1= -6/3=-2
m=-2
then plug into the intercept form formula: y-y1=m(x-x1)
y-2=-2(x-1)
Answer:
y = 5x-11
Step-by-step explanation:
The slope intercept form of a line is y =mx+b where m is the slope
y = -1/5 x-3
The slope is -1/5
Lines that are perpendicular have negative reciprocal slopes
-1 /(-1/5)
-1 * -5/1
5
The slope of the line that is perpendicular is 5
y=5x+b
Using the point (4,9)
9 = 5(4)+b
9 = 20+b
9-20 =b
-11
y = 5x-11
Answer:
Geometric probability of an object hitting a circular hole is 0.0245.
Step-by-step explanation:
We have given,
A board of size 48 by 24 inch. There is a circular hole in the board having diameter 6 inches.
So,
Area of a board = 48 × 24 = 1152 square inches
And area of circular hole = π×r² {where r = diameter/2 = 6 / 2 = 3 inches}
Area of circular hole = π×3² = 9π = 28.27 square inches
Now, we need to find the geometric probability of an object will hit the circle.
Geometric probability = Area of circular hole / Area of board
Geometric probability = 
Geometric probability = 0.0245
hence geometric probability of an object hitting a circular hole is 0.0245.