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Ludmilka [50]
3 years ago
6

Question 3 (4 MARKS) Find the equation of the tangents to the curve of the function with rule y = x^2 at the points where x = a

and x =-a and find the coordinates of the point of intersection of these two tangents.​
Mathematics
1 answer:
Arte-miy333 [17]3 years ago
3 0

Answer:

(0 , -a²)

Step-by-step explanation:

tangent at x = a and x = -a

y = x²     (a , a²) and (-a , a²) must be on the curve and tangent to curve

gradient dy/dx = 2x

slope (m) at x = a is <u>2a</u>     and slope (m') at x=-a is<u> -2a</u>

line1: (y - a²) / (x - a) = 2a

        y - a² = 2a (x - a)                           y = 2ax - a²   ... (1)

line2: (y - a²) / (x + a) = - 2a                   y = -2ax- a²   ... (2)

(1) - (2): 4ax = 0       a≠0    x = 0

y = - a²

I wish I did it right, or ....

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Find the midpoint of the line segment joining the points (-2,-2) and (-4,9).
11Alexandr11 [23.1K]

Answer:

The answer is

<h2>( - 3 \: , \:  \frac{7}{2} )</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-2,-2) and (-4,9).

The midpoint is

M = ( \frac{ - 2 - 4}{2}  \:  , \:  \frac{ - 2 + 9}{2} ) \\  = ( -  \frac{6}{2}  \: , \:  \frac{7}{2} )

We have the final answer as

( - 3 \: , \:  \frac{7}{2} )

Hope this helps you

4 0
3 years ago
Please help me do this one complicated and confused
IrinaK [193]

Answer:

9

Step-by-step explanation:

Area of a triangle=(base*height)/2

1) Input the values

54=(12h)/2

2) Multiply both sides by 2

54*2=(12h/2)2

108=12h

3) Divide both sides by 12

108/12=12h/12

9=h

I hope this helps! Please comment if you have any questions.

3 0
3 years ago
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notka56 [123]
Two negatives make a positive so, -13 - (-49) equals -13 + 49, or 49-13, they are all the same thing, all equal to 36. 
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3 years ago
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Answer:

Step-by-step explanation:

X + X + 96 = 180    {SUM OF ANGLES OF TRIANGLE}

2X + 96 = 180

2X = 180 -96

2X =84

X = 84/2

X = 42

4 0
3 years ago
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8 {a}^{2}  - 14a - 20a  +  35

8 {a}^{2}  - 34a + 35

7 0
3 years ago
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