20x - 15 - 3x - 1 = 15x + 27 + 2x
17x - 16 = 17x + 27
17x - 17x = 27 + 16
0 = 43
Since zero is not equal to 43, this equation has no solution.
Answer:
f(x) = |x + 1| – 3
Step-by-step explanation:
The given graph is a transformed absolute value function.
The parent function is
The graph is obtained by shifting, g(x) from the origin (0,0) to (-1,-3).
The transformed function is of the form:
Where (h,k) is the vertex.
We substitute h=-1 and k=-3 to get:
When we simplify we get:
Lateral area of the cone is given by:
LA=πr√(h²+r²)
where:
h=height
r=radius
Given that LA=287.5 yd² and r=(15/2) yds, then the height will be:
287.5=7.5π√(h²+7.5²)
solving for h we get:
(287.5/7.5π)²=h²+7.5²
thus
h²=(287.5/7.5π)²-7.5²
h²=63.1851597
To get the slant height we use Pythagorean theorem.
c²=a²+b²
a²=h², b²=7.5²
thus
c²=h²+7.5²
c²=63.1851597+56.25
c²=119.4351597
c=10.92864~10.9 yards
Answer:
Principal=$2000
Rate=3%
Time=3 years
Interest=P*T*R/100
=$2000*3*3/100
=$18000/100
=$180
Step-by-step explanation:
Area of the figure=area of the square - area of the rectangle 1 - area of the rectangle 2.
Area of the square=side x side=12 * 12 =144
Area of the rectangle 1=8 *5=40
Area of the rectangle 2=5 * (12-8)= 5 * 4=20
Area of the figure=144 - 40 -20=84
Answer : 84
