Answer: First option is correct.
Step-by-step explanation:
Since we have given that
Now, by factorising , we get
Now, we use the formula i.e.
By using this, we get ,
So,
Answer:
true
Step-by-step explanation:
one tree has 13 apples
Answer:y = -3x + 10
Step-by-step explanation:
To find an equation of a line that passes through two points, we have to first find the slope between the two equation. We can do this by using the slope formula:
where (x₁, y₁) and (x₂, y₂) are the two points that we are finding the slope between.
Lets make (x₁, y₁) equal to (0, 10) and (x₂, y₂) equal to (3, 1). Now we plug them into the slope formula:
So the slope between the two points is -3.
From here, I would normally take one of the points given to us and plug in the point and slope into the point-slope form of a line and then simplify until we get it in slope-intercept form. But if you look carefully, the y-intercept is given to us as the point (0, 10). So we now know that the y-intercept of the line is 10. We can now take the y-intercept and the slope and plug it into the slope-intercept form of a line to get out equation:
y = mx + b
plug in -3 for m (the slope) and 10 for b (the y-intercept)
y = -3x + 10
So now we have our equation.
I hope you find my answer and explanation helpful. Happy studying. :)
The flow velocity measured as in/min at the meter is 5924.13 in/min
<h3 /><h3>Volumetric flow rate</h3>
We know that the volume flow rate Q = Av where
- A = cross-sectional area of pipe and
- v = flow velocity
Now, Q = 18 gal/min
Converting this to in³/min, we have
Q = 18 gal/min = 18 × 1 gal/min = 18 × 231 in³/min = 4158 in³/min
A = πd²/4 where d = diameter of pipe = 1.0 in.
<h3 /><h3>Flow velocity, v</h3>
Since Q = Av, making v subject of the formula, we have
v = Q/A
v = 4Q/πd²
Substituting the values of the variables into the equation, we have
v = 4Q/πd²
v = 4 × 4158 in³/min ÷ π × (1.0 in)²
v = 16632 in/min ÷ π
v = 5924.13 in/min
So, the flow velocity measured as in/min at the meter is 5924.13 in/min
Learn more about flow velocity here:
brainly.com/question/15648466
Answer: 989.172
Step-by-step explanation: