Answer:
y = ½(13- x)
Step-by-step explanation:
Step 1. Find the<em> slope (m₁) of the original line
</em>
The equation for the original line is
y = 2x - 6
slope = m₁ = 2
Step 2. Find the <em>slope (m₂) of the perpendicular line
</em>
m₂ = -1/m₁ Substitute the value of m₁
m₂ = -1/2
Step 3. Find the <em>equation for the perpendicular line</em>
y = mx + b Substitute the value of m₂
y = -½x + b
The line passes through (5, 4).
4 = -½(5) + b Add 5/2 to each side
4 = -5/2 + b Add 2 to each side
b = 13/2
y = -½x + 13/2
y = ½(13 – x)
In the image, below, the red line is the graph of your original equation.
The blue line passing through (5, 4) is the perpendicular line.
Answer:
The weigh of air in the room having volume 38.22 m³ is 49.68 kg
Step-by-step explanation:
Given as :
Length of room = 4.2 m
Width of room = 3.5 m
Height of room = 2.6 m
So , volume of room = Length × Width × Height
Or, volume of room = 4.2 m × 3.5 m × 2.6 m
∴, volume of room = 38.22 m³
Now,
∵ 10 m³ of air weigh 13 kg
so, 1 m³ of air weigh = 
kg
∴ 38.22 m³ of air weigh = kg × 38.22 kg
I.e 38.22 m³ of air weigh = 49.68 kg
Hence The weigh of air in the room having volume 38.22 m³ is 49.68 kg Answer
Answer:
1. Product
2. Power
3. Quotient and power
Step-by-step explanation:
Product is for multiplication
Power is for exponents
Quotient is for division
The tree and the shadow make a right triangle with the tree height opposite the 68 degree angle:
Choice C
Answer:
The volume for the sphere is 904.78
