Answer:
I think the answer is 32<em>cm²</em>
Step-by-step explanation:
A lot of mathematics using a calculator and checking all possible answers led me to this possible solution.
The standard form of a hyperbola is <span><span><span>x2/</span><span>a2 </span></span>− y<span><span>2/ </span><span>b2 = 1
the tangent line is the first derivative of the function</span></span></span><span>y′ = <span>b^2x/ a^2 y
hence the slope is </span></span><span>m = <span>b^2 x0 / <span>a^2 <span>x1
</span></span></span></span>Therefore the equation of the tangent line isy−x1 = b^2 x0 / a^2 x1* (x−x0)
Answer:
a = -24
Step-by-step explanation:
-a/6 +8 = 12
Subtract 8 from each side
-a/6 +8-8 = 12 -8
-a/6 = 4
Multiply by -6 on each side
-a/6 * -6 = 4*-6
a = -24
Answer:
Ratio of area of triangles MNP and ABC is 1.05
Step-by-step explanation:
There are 2 triangles ABC and MNP.
We are given that ,m∠A = m∠M.
AB = 16 and AC = 10.
MN = 7 and MP = 24.
Area of a triangle ∝ Product of any two sides.
So area of triangle ABC ∝ 16
Area of triangle ABC = 160
,
where k is a constant.
So area of triangle MNP ∝ 7 
Area of triangle MNP = 168
So ratio of area of triangles = 
= 
= 1.05
