Answer:
2.86cm
Step-by-step explanation:
Step 1:
Data obtained from the question. This includes the following:
Volume (V) = 187cm3
Height (h) = 7.3cm
Pi (π) = 3.14
Radius (r) =..?
Step 2:
Determination of the radius of the cylindrical water bottle.
The radius of the cylindrical water bottle can be obtained as follow:
V = πr^2h
187 = 3.14 x r^2 x 7.3
Divide both side by 3.14 x 7.3
r^2 = 187 / (3.14 x 7.3)
Take the square root of both side
r = √[187 / (3.14 x 7.3)]
r = 2.86cm
Therefore, the radius of the cylindrical water bottle is 2.86cm
Slope Intercept Form: y = mx + b
Slope: 2
Y-Intercept: 0
Therefore, the slope intercept form of the given values would look like this:
y = 2x + 0 or just y = 2x
Have a great day!
Answer:
y= 2x -3
Step-by-step explanation:
Let's rewrite the given equation into the form of y=mx+c, so that we can find the gradient of the line. In this form, m (coefficient of x) is the gradient.
4x -2y= 3
2y= 4x -3
<em>Divide</em><em> </em><em>by</em><em> </em><em>2</em><em> </em><em>throughout</em><em>:</em>
Thus the gradient is 2.
Parallel lines have the same gradient thus the line would also have a gradient of 2.
Substitute m=2 into the equation:
y= 2x +c
To find the value of c, substitute a pair of coordinates.
When x=2, y=1,
1= 2(2) +c
1= 4 +c
c= 1 -4
c= -3
Thus, the equation of the line is y= 2x -3.
Answer:
r=4
Step-by-step explanation:
Answer:
Step-by-step explanation:
Using the parallelogram theorem
3x-8 = 10x+13
-7x = 21
x = -3
Substitute
3(-3) - 8
-17
10(-3) + 13
-17
