Answer:
Step-by-step explanation:
so to find the equation tangent to the curve x^2+1 at the point (1,2)
-First we must find the derivative then plug in the point
d/d(x)=2x (power rule)
so then we plug in the x and y values (we don't need to worry about the 2-y value- because we did not need to compute and derivatives with y)
so we plug in 1 for the x
y=2(1)
2
now we plug it into equation of a line
y - 2 = 2(x - 1)
or
y=2x
13
Step-by-step explanation:
Answer:
Area of rhombus = 96 inch²
Step-by-step explanation:
Given:
Side length of rhombus = 10 inch
Length of longer diagonal = 16 inch
Find:
Area of rhombus
Computation:
We know that, diagonals of rhombus perpendicular bisect each other
So,
Half of small diagonal = √Side length of rhombus² - Half length of longer diagonal²
Half of small diagonal = √10² - 8²
Half of small diagonal = √100 - 64
Half of small diagonal = √36
Half of small diagonal = 6 inch
Length of smaller diagonal = 2 x 6
Length of smaller diagonal = 12 inch
Area of rhombus = (Product of diagonals)/2
Area of rhombus = (16 x 12)/2
Area of rhombus = 96 inch²
Answer:
Y=6000-400x
Step-by-step explanation:
Y=6000-400x where 6000 is beginning total, x represents how many months have passed, and 400x reduces the total by 400 for x number of months.