A)
1 answer:
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<h2>Answer: y = - ¹/₂ x + 5
</h2><h3>Step-by-step explanation:
</h3>
<u>Find the slope of the perpendicular line</u>
When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are negative-reciprocals of each other.
⇒ if the slope of this line = 2 (y = 2x + 2)
then the slope of the perpendicular line (m) = - ¹/₂
<u>Determine the equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 3 = - ¹/₂ (x - 4)
We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:
since y - 3 = - ¹/₂ (x - 4)
y = - ¹/₂ x + 5 (in slope-intercept form)
Answer:
The volume of the triangular pyramid
V = 566.66 in³
Step-by-step explanation:
<u><em>Step(i):-</em></u>
The volume of the triangular pyramid
Base area = Area of the triangle
Given the base of the triangle (b) = 17in
Given Height of the triangle (h ) =10 in
The base area of the pyramid ( A) = 85 in²
<u><em>Step(ii):-</em></u>
<u><em>Given the height of the pyramid (h) = 20in</em></u>
The volume of the triangular pyramid
The volume of the triangular pyramid
=
<u><em>Final answer:-</em></u>
The volume of the triangular pyramid
V = 566.66 in³