What is an equation of the line that is perpendicular to y= - 4/5x +3 and passes through the point (4,12)?
1 answer:
Answer:
y = x + 7
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 )
y = - x + 3 is in this form
with m = -
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
, hence
y = x + c ← is the partial equation
To find c substitute (4, 12) into the partial equation
12 = 5 + c ⇒ c = 12 - 5 = 7
y = x + 7 ← equation of perpendicular line
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Answer:
7
Step-by-step explanation:
Let the height of pyramid be h
v= 224
w= 8
l= 12
224=1/3(12)(8)(h)
224=32h
h=224/32
h=7
The component form of the vector that translates the top house figure to the bottom house figure is (6, -4).
<h3>What is the vector component form?</h3>The component form of a vector is known to be depicted as < x, y >.
Note that:
x - tells the distance or how far to the right or left, a vector is known or seen to be going.
y - tells the distance or how far to the upper part or downward a vector is known or seen to be going.
From the question and looking at the image attached, we were able to obtain (-4,4) and (2, 0)
So:
⇒ (-4,4) --------(-4+6)(4-4)-------(2,0)
⇒ (6,-4)
Hence, The component form of the vector that translates the top house figure to the bottom house figure is (6, -4).
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