Answer:
y = -(5/2)x -2
Explanation:
The general formula for a straight line is y – mx + b.
The image below shows the graph of the line.
Step 1. <em>Calculate the slope</em>.
Slope = m = Δy/Δx = (y₂-y₁)/(x₂-x₁)
x₁ = 0; y₁ = -2
x₂ = -2; y₂ = 3 Calculate m
m = [3-(-2)]/(-2-0)
m = (3+2)/(-2)
m = 5/(-2)
m = -5/2
Step 2. <em>Calculate the y-intercept
</em>
When x = 0, y = 2.
The y-intercept (b) is at y = -2
Step 3. <em>Write the equation </em>for the graph
y = mx + b
y = -(5/2)x - 2
This is equivalent to:
(2.2533/2.59)(10^8/10^4)
(0.87)(10^4) which is:
0.87X10^4 which is equal to:
0.87X10000 which is equal to:
8.7X1000 and since 1000=10^3 we can say:
8.7X10^3
(1.2×10^2) + (3.04×10^5)
They must be to the same power to add
3.04 *10^5 to change to the 2nd power (5-2=3) move the decimal 3 places to the right = 3040. * 10^2
1.2 * 10^2 + 3040 *10^2=
add the numbers keep the exponents the same
3041.2 * 10^2
there can only be 1 number before the decimal in scientific notation so we need to move the decimal 3 places to the left, which adds 3 to the exponent
3.0412 * 10 ^ (2+3)
3.0412 * 10^5
Answer:
Height = 8 meters
Step-by-step explanation:
Given that
The volume V = 209 cubic meters Diameter = 10 meters
Radius r = 5 metres
How tall is the shed? The question is looking for the height of the cone
Using the formula for volume of a cone.
V = 1/3πr^2h
Where π = 3.14
209 = 1/3 × 3.14 × 5^2 ×h
209 = 3.14/3 × 25h
209 = 78.5h/3
h = 7.99 meters
h = 8 meters
Therefore, the shed is 8 meters tall.
Answer:
Yes
Step-by-step explanation:
It is A
