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Korolek [52]
3 years ago
6

Find an equation of the tangent line to the hyperbola: x^2/a^2 - y^2/b^2 = 1 at the point (x0,x1)

Mathematics
1 answer:
musickatia [10]3 years ago
8 0

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)

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Wing figures, solve for x. Complete parts (a) 80° 53​
Korolek [52]

Answer:

x = 25°

Step-by-step explanation:

Applying,

Sum of the angle in the triangle = 180°

From the diagram,

First angle of the triangle = 55° (vertically opposite angles are equal)

Second angle of the traingle = 180-80 = 100° (sum of the angle in a straight line)

Third angle of the triangle = x

Therefore,

x+55+100 = 180

x+155 = 180

x = 180-155

x = 25°

7 0
2 years ago
The depreciating value of a semi-truck can be modeled by y = Ao(0.84)x, where y is the remaining value of the semi, x is the tim
NemiM [27]
The value of the truck initially, Ao is
83000

1-0.16=0.84
1-0.26=0.74

After one year the value
Y=83,000×(0.84)=69,720
Y=83,000×(0.74)=61,420
When you compare the results you will see that the graph would fall at a faster rate to the right because the depreciation rate of 26% is higher than the depreciation rate of 16%

Hope it helps
8 0
3 years ago
The graph of y = f(x) is shown.<br> a) Find f(0)<br> 4-<br> 3.<br> b) Give the roots of f(x) = 0
Fiesta28 [93]

Answer:

f(0) = 2

Roots are;

-2 and -1

Step-by-step explanation:

F(0) simply refers to the y-values when x = 0

This is the point at which the graph crosses the y-axis

the value here is 2

To

find the roots of f(x) , we simply find the points at which the plot crosses the x-axis

we have this at x = -2 and x = -1

These are what represents the roots of the equation

5 0
2 years ago
The product of two whole numbers is 891 and their sum is 60 , what is the two numbers
Rus_ich [418]

Answer:

33 & 27

I am positive !!!!!!!!!!!!

4 0
3 years ago
1 Batch Fruit Salad contains : 1 1/2 c apples, 1 3/4 c grapes, 1/2 c raisins, 2 2/4 c bananas, 3/4 c coconut, 1 2/4 c cherries a
rosijanka [135]

The batch of fruit salad has an equal amount of apples and cherries. This is because there are 1 1/2 c of apples and 1 2/4 c of cherries. the 1 1/2 is already simplified but the 1 2/4 is not. 1 2/4 is the same as 1 1/2, therefore apples and cherries have equal amounts.
3 0
3 years ago
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