All categories

2 years ago

4. Write an equation of the ellipse with foci at (±1, 0) and co-vertices at (0, ±2)

Mathematics

1 answer:

aev [14]2 years ago

4 0

Answer:

Step-by-step explanation:

The foci:

F=(1,0)

F'=(-1,0)

The co-vertices:

V=(0,2

V'=(-2,0)

$\dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1\\\\with\ \\b=2\\and \\2*a=2*|FV|=2*\sqrt{5} \, a=\sqrt{5}\\\\\dfrac{x^2}{5} +\dfrac{y^2}{4} =1\\$

You might be interested in

PLEASE PLEASE PLEASE PLEASE PLESE HELP ME???/!?!?!?!!? I'LL GIVE BRAINLY, POINTS, MEDAL, THANKS

sineoko [7]

The correct answer for part A is 5x² +7x -4. 5x³ -x² -8x -7 is the right answer for part B. Polynomials are always closed if under addition or subtraction. The answers of both parts A and B are polynomials. hope that helps let me know if it does

3 0

2 years ago

Read 2 more answers

Find the slope of the line The slope is m=

Elza [17]

the slope should be -1/2, hope this helps!

5 0

2 years ago

Helwp please thank uuu!

Minchanka [31]

Step-by-step explanation:

<h3>Given,</h3>

GRAM is a parallelogram
m<GMA = 66°
m<GRP = 32°
m<PAM = 41°

<h3>Solutions:</h3>

i) Since,

Angles on the same side of a transversal in a parallelogram, there sum is 180° so,

<RGM + <GMA = 180°

=> <RGM = 180° - <GMA

=> <RGM = 180° - 66°

=> <RGM = 114° (Ans)

ii) Since,

Opposite angles of a diagonal as a transversal (here RM) are equal so,

<GRP = <PMA = 32°

As we have <GMA = 66° so,

=> <GMP = <GMA - <PMA

= 66° - 32°

=> <GMP = 34° (Ans)

iii) Since,

Opposite angles of a parallelogram are equal so,

<RGM = <RAM = 114°

As we have <PAM = 41° so,

=> <GAR = <RAM - <PAM

= 114° - 41°

=> <GAR = 73° (Ans)

iv) Since,

We got <PMA = 32° and <PAM = 41°, so by angle sum property of a triangle PMA,

=> <MPA = 180° - 32° - 41°

=> <MPA = 107° (Ans)

7 0

1 year ago

What is the sum of (-5x + 8) + (x2 – 10x)

Korvikt [17]

Answer:

-13x+8

Step-by-step explanation:

add the x's including negatives

6 0

2 years ago

Read 2 more answers

Help please I need it asap

tatuchka [14]

Answer:

<2 ~= < 4 - Vertical Angles Theorem

<2 ~= <8 - Alternate Exterior Angles

<4 ~= <8 - Corresponding Angles Theorem

line I || line m - Transitive Property

8 0

2 years ago