Answer:
2100
Step-by-step explanation:
<span>Diameter of the sphere = 8 cm.
Therefore, the radius of the sphere = 8/2 = 4 cm
Volume of the sphere = 4/3 * 22/7 * 3 * 3 * 3 cu. cm.
The sphere is beaten and drawn into a wire, the wire is cylinder of the diameter = 0.2 cm
Area of the base of the cylinder = pi * r2 = 22/7 * 0.2 * 0.2 sq. cm
volume of the wire = pi * r2 * I = 22/7 * 0.2 * 0.2 * 1
Therefore, 22/7 * 0.2 * 0.2 * I = 4/3 * 22/7 * 4 * 4 * 4
Therefore I = 4/3 * 22/7 * 4 * 4 * 4 * 7/22 * 1/0.04
I = 256/3 * 1/0.04
I = 2113 cm</span>
Answer:
y = -6x - 5
Step-by-step explanation:
To find the equation using the point-slope equation, we need the slope and the y-intercept of the line
<u>Finding the slope of the line:</u>
We will calculate the slope between these 2 points: (-1 , 1) and (0 , -5)
Slope = Rise / Run
Rise of the line = y1 - y2
Rise = 1 - (-5)
Rise = 1 + 5
Rise = 6
Run of the line = x1 - x2
Run = -1 - 0
Run = -1
Slope of the line:
<em>Slope = Rise / Run</em>
<em>Slope = 6 / -1</em>
<u>Slope = -6 </u>
<u></u>
<u>Finding the y-intercept:</u>
y-intercept of a line is the y-ordinate of the point where the line intersect the y-axis
From the graph, we can see that the line intersects the y-axis at (0 , -5)
y-coordinate of the point = -5
<u>y-intercept = -5</u>
<u></u>
<u>Equation of the line:</u>
This is the general formula of the slope-intercept:
y = mx + b (where m is the slope of the line and b is the y-intercept )
Replacing the variables
y = (-6)x + (-5)
y = -6x - 5
Answer:
a=±5
Step-by-step explanation:
25=5^2
Given that, x^2−10x+25=x^2−10x+5^2
Identity: a^2−2(ab)+b^2=(a-b)^2
Here, a=x and b=5
∴=(x−5)^2
Hope this helps
