Perpendicular lines<span> are two or more lines that intersect at a 90-degree angle, like the two lines drawn on this graph, and the x and y axes that orient them.</span>
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Answer to your problem is:
1 411/500
I believe XD.
By definition, a rectangle is:
Any four sided polygon (quadrilateral) that contains four right angles.
By extension, a square is:
Any rectangle where all sides are of the same, or equal, length.
<h3>So yes, a square is always a rectangle.</h3>
Answer:
Step-by-step explanation:
Given that,
f(3) = 2
f'(3) = 5.
We want to estimate f(2.85)
The linear approximation of "f" at "a" is one way of writing the equation of the tangent line at "a".
At x = a, y = f(a) and the slope of the tangent line is f'(a).
So, in point slope form, the tangent line has equation
y − f(a) = f'(a)(x − a)
The linearization solves for y by adding f(a) to both sides
f(x) = f(a) + f'(a)(x − a).
Given that,
f(3) = 2,
f'(3) = 5
a = 3, we want to find f(2.85)
x = 2.85
Therefore,
f(x) = f(a) + f'(a)(x − a)
f(2.85) = 2 + 5(2.85 - 3)
f(2.85) = 2 + 5×-0.15
f(2.85) = 2 - 0.75
f(2.85) = 1.25
Answer:
Step-by-step explanation:
The complete question is shown in the attachment.
The length of the rectangle is x + 12. The width of the rectangle is x + 3.
Recall that area of a rectangle is 
In terms of x, the area is 
Recall the distributive property of real numbers: 
We apply this property to get:
We expand again to get:
We now simplify to obtain:
The area of the rectangle is
