Differentiate the given solution:

Substitute
and
into the ODE:

and it's easy to see the left side indeed reduces to 0.
Answer:
B. The ratio of the area of the scale drawing to the area of the painting is 1:16
C. The ratio of the perimeter of the scale drawing to the perimeter of the painting is 1:4
Step-by-step explanation:
The ratio of the area of similar figures/shapes = the square of the ratio of any of their side lengths
Since the scale drawing of the rectangular painting and the actual rectangular painting are similar, therefore,
The ratio of the area of the scale drawing to the painting = 1²:4²
= 1:16
Also, comparing the ratio of the perimeter of the scale drawing to the perimeter of the painting will be the same as the scale factor = 1:4
Answer:
C
Step-by-step explanation
This has a factor of 6% or 0.06. But, you are adding and not subtracting so it is 1.06. ( If you multiply by a number less than 1 then it is actually dividing) So C is the only on that is correct.
Answer:
The coordinates of his position is (-6,-8).
Step-by-step explanation:
Consider the provided information.
Let's assume for a moment that we are standing at the origin and the positive y-axis points due North while the positive x-axis points due East.
North represents the positive y axis, then south will represents the negative y axis.
It is given that the east represents the positive x axis then west represents the negative x axis.
Sasquatch-o-meter tells us that Sasquatch is 6 miles West and 8 miles South of our current position.
6 miles west represents a x=-6 and also 8 miles south represents y=-8
Thus, the coordinates of his position is (-6,-8).
Answer:
y = 3x - 3
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 )
Given
y - 3x = 4 ( add 3x to both sides )
y = 3x + 4 ← in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
y = 3x + c
The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3
y = 3x - 3 ← equation in slope- intercept form