Answer:
y = 
x + 
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 2, 1 ) and (x₂, y₂ ) = (6, 3 )
m = 
= 
= 
= , then
y = x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (6, 3 ) , then
3 = + c ⇒ c = 3 - =
y = x + ← equation of line
Answer:
(base × height) × 0.5
Step-by-step explanation:
Formula of the Area of a Triangle => (base × height) × 0.5
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<span>The length of a rectangular prism is 5 more than twice the width w. The volume of the prism is 2w^3 + w^2 + 5w. What's the simplified expression for the height of the prism
</span>
<span>V=f(w)
</span><span>2w^3 + w^2 + 5w
</span><span>v=w^2*l
</span><span>svl
l=v/w^2
</span>
<span>V=w^2*(2*w+5)
</span>
<span>2w^3 + w^2 + 5w=w^2*(2*w+5)
</span><span>(2*w+5)= (2w^3 + w^2 + 5w)/w^2
w=5/4</span>
Answer:
the number of revolutions of the rotor required to turn the probe through 44.1° about its central axis is approximately 117 revolution.
Step-by-step explanation:
From the conservation of angular momentum of the motor
Ip× theta p = Im × theta m
Where IP = 6.84 is the rotational inertia of the probe along it central axis
Theta p= 44.1°, Im = 7.17 ×10^-3 is the rotational inertia of the electric motor about it central axis.
Ip× theta p = Im × theta m
6.84 × 44.1 = 0.00717 × theta m
301.644 = 0.00717 × theta m
Theta m= 301.644 /0.00717
= 42,070.3°
Number of revolution =42,070.3°/360
= 117 revolution
