Answer:
2cm
Step-by-step explanation:
Given data
Capacity/volume of liquid held= 6π cm^3
Height= 6cm
Required
The diameter d of the tube
let us apply the expression for the volume of cylinder
V=πr^2h
6π=πr^2*6
6=r^2*6
r^2= 6/6
r^2=1
r= √1
r=1cm
Hence the diameter d = 2r= 2*1= 2cm
It is solved by unitary method.
Plz see the attachment....
S = (-5,0)
T = (2,1)
Step-by-step explanation:
Step 1 :
Given
Q = (3,6) and R = (-4,5). P = (-1,3)
Let S be (a,b) and T be (c,d)
The diagonals of a parallelogram bisect each other. so in order to ensure that QRST is a parallelogram, P must be the mid point of the diagonals QS and RT.
Step 2 :
P is the midpoint of QS
So we have (3+a) ÷ 2 = -1 and (6 + b) ÷ 2 = 3
=> 3 + a = -2 and 6 + b = 6
=> a = -5 and b =0
So S should be (-5,0)
Step 3 :
P is the midpoint of RT
So we have (-4+c) ÷ 2 = -1 and (5 + d) ÷ 2 = 3
=> -4+ c = -2 and 5 + d = 6
=> c = 2 and d =1
So T should be (2,1)
Step 4 :
Answer :
S = (-5,0)
T = (2,1)
2, 1, 3 ,6. A Great way to get factors are by using a calculator and add up
The equation of line is:
Further explanation:
Given equation of line is:
y = 3x+5
The standard form of point-slope form is:
y = mx+b
Comparing the given equation with the standard form is:
m = 3
We know that product of slopes of two perpendicular lines is -1
Let m2 be the slope of line perpendicular to y = 3x+5
Then
Putting the value of slope in standard form
To find the value of b, putting (-3,-4) in equation
Putting the values of slope and b in equation
Keywords: Slope, Point-intercept form
Learn more about perpendicular lines at:
#LearnwithBrainly
