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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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An angle cannot be the complement of one angle and the supplement of another angle at the same time. is this true or false?
soldi70 [24.7K]

An angle cannot be the complement of one angle and the supplement of another angle at the same time. Then the given statement is false.

<h3>What is an angle?</h3>

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

An angle cannot be the complement of one angle and the supplement of another angle at the same time.

Then the given statement is false.

More about the angled link is given below.

brainly.com/question/15767203

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8 0
2 years ago
Brandon earns $6 for every shirt he sell.which equation could Brandon use to determine the amount of money he earns for any numb
maw [93]
I got B. Hope it helps 
8 0
3 years ago
84.87 is 115% of what
elena-s [515]
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6 0
3 years ago
Solve the equation below. SHOW ALL WORK!!!<br><br> −3(y + 2) = 21
Maurinko [17]

Answer:

y=-9

Step-by-step explanation:

-3(y+2)=21

1st Open parenthesis

-3y-6=21

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6 0
2 years ago
Terry is buying water. He needs 22 liters. A half-liter of water costs $2.11. A 200 -milliliter container of water costs $1.01.
Dvinal [7]

Answer: Terry should buy the half-liter of water that costs $2.11 because buying 200 litres here is cheaper.

Step-by-step explanation:

Terry is buying water and needs 22 liters. A half-liter of water costs $2.11. Using this information, 22 litres will cost:

= 22 ÷ 1/2 × 2.11

= 22 × 2 × 2.11

= $92.84

Also, A 200 -milliliter container of water costs $1.01. Using this information, 22 litres will cost:

= 22 × 1.01 ÷ 200/1000

= 22 × 1.01 × 1000/200

= 22 × 1.01 × 5

= $111.1

Based on this information, Terry should buy the half-liter of water that costs $2.11 because buying 200 litres here is cheaper.

3 0
3 years ago
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