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ikadub [295]
2 years ago
7

PLS PLS PLS HELP 20 POINTS PLS HELP THX

Mathematics
1 answer:
Flura [38]2 years ago
8 0
The first one- the rest don’t add up
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At which points are the tangents drawn to the ellipse x 2 + y 2 = [ a ] x + [ a ] y parallel to
In-s [12.5K]

The given equation of the ellipse is x^2 + y^2 = 2 x + 2 y

At tangent line, the point is horizontal with the x-axis therefore slope = dy / dx = 0

<span>So we have to take the 1st derivative of the equation then equate dy / dx to zero.</span>

x^2 + y^2 = 2 x + 2 y

x^2 – 2 x = 2 y – y^2

(2x – 2) dx = (2 – 2y) dy

(2x – 2) / (2 – 2y) = 0

2x – 2 = 0

x = 1

 

To find for y, we go back to the original equation then substitute the value of x.

x^2 + y^2 = 2 x + 2 y

1^2 + y^2 = 2 * 1 + 2 y

y^2 – 2y + 1 – 2 = 0

y^2 – 2y – 1 = 0

Finding the roots using the quadratic formula:

y = [-(- 2) ± sqrt ( (-2)^2 – 4*1*-1)] / 2*1

y = 1 ± 2.828

y = -1.828 , 3.828

 

<span>Therefore the tangents are parallel to the x-axis at points (1, -1.828) and (1, 3.828).</span>

3 0
3 years ago
The graph of y=f(x) is shown below. What are all of the read solutions of f(x) = 0?
Sveta_85 [38]

Answer:

0, -1, -3

Step-by-step explanation:

f(x) = y = height of the line plotted

if you treat the x axis as the "ground" or "floor"....you're looking for the point when the graph "hits" the "floor", meaning zero height.

3 0
3 years ago
Read 2 more answers
The overnight low temperature in Cassidy City was -27 Fahrenheit. The overnight low temperature in Shakerville was -6 Fahrenheit
koban [17]

Answer:

Shakerville 21° warmer

Step-by-step explanation:

-27 + -6 = 21

6 0
3 years ago
From a standard deck of cards, what is the probability that you choose a red card and then choose a 3 assuming you replaced the
Hunter-Best [27]
A standard deck of cards has 52 cards. Half of the deck has red cards and half has black cards. So the first probability would be 26/52, or 1/2 (simplified, it's half the deck).

Then you put the card back and choose a 3. There are 4 cards with the number 3 in the deck. So it's 4/52.

Then you multiply both the probabilities
26/52 x 4/52 = \frac{1}{2}  x  \frac{1}{13} = 1/26
3 0
3 years ago
Read 2 more answers
Triangle LMN is a right triangle. True or false
Lynna [10]

Answer:False

Step-by-step explanation:

5^2+13^2=14^2

25 +169=196

194 ≠ 196

They’re not equal meaning it’s not a right triangle. Sorry for my first answer. I was supposed to use the Pythagorean theorm

4 0
3 years ago
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