Answer:
x = -5/2
Step-by-step explanation:
4x+2 = -8
We are solving for x
The first step in isolating x is to subtract 2 from each side
4x+2-2 = -8-2
4x = -10
Divide each side by 4
4x/4 = -10/4
x = -10/4
Simplify the fraction
x = -5/2
So 9x<18 can be factored out into
9(x)<9(2)
you can divide both sides by 9
x<2
so the solution is any number more than 2, but not 2
Answer:
9.2 inches
Step-by-step explanation:
Given :
Area, A of rectangle = 36.8 in²
Base, b = 4 inches
height, h =?
The Area of a rectangle is given as :
A = base * height
36.8 = 4 * h
36.8 = 4h
h = 36.8 / 4
h = 9.2 inches
Height = 9.2 inches
Answer:
Step-by-step explanation:∠ MON= -45°→→ angle lies in fourth quadrant.
Where, MN represents the path of rock, which is a straight line.
Taking the Horizontal and vertical component of OM,to get the coordinate of point M
The coordinate of point M will be [1.25 cos (-45°), 1.25 sin(-45°)]=
Taking O as center and Coordinates of O as (0,0) and Coordinates of M as () we get the equation of line OM as
y= tan (315°)× x
As general form of equation of line passing through the origin will be,
y= m x, where m is angle made by line with positive direction of x axis.
m= (360-45)°= 315°
→→y=-x
→→ y + x=0
equation of line perpendicular to OM will be
→→ x - y + k=0
Since it passes through .
→→
So, equation of initial path of stone will be:
Mean of data = sum of values ÷ number of data
We have three values; 84, 87, and
Sum of values =
=
We want the value of
to give mean between 85 and 90 inclusive
Hence, the value of
is between 84 and 99 inclusive
