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hichkok12 [17]
2 years ago
11

☹️this my last problem I need help with ? But plz help

Mathematics
1 answer:
tester [92]2 years ago
3 0

Answer: The answer to this question is 13.

Step-by-step explanation:

The two triangles are congruent by A.S.A axiom making the opposite sides AD and DC equal.

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Write an equation of an ellipse in standard form with the center at the origin and a height of 12 units and width of 19 units.
gladu [14]

Answer:

The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

Step-by-step explanation:

* Lets revise the equation of the ellipse

- The standard form of the equation of an ellipse with center (0 , 0 )  

  and major axis parallel to the x-axis is x²/a² + y²/b² = 1  

# a > b  

- The length of the major axis is 2a  

- The coordinates of the vertices are ( ± a , 0 )  

- The length of the minor axis is 2b  

- The coordinates of the co-vertices are ( 0 , ± b )  

- The coordinates of the foci are ( ± c , 0 ) , where c ² = a ² − b²  

* Lets solve the problem

∵ The center of the ellipse is (0 ,0)

∵ Its width is 19 units

∴ The length of the major axis is = 19

∴ 2a = 19 ⇒ divide both sides by 2

∴ a = 19/2 ⇒ ∴ a² = 361/4

∵ Its height is 12 units

∴ The length of the minor axis is = 12

∴ 2b = 12 ⇒ divide both sides by 2

∴ b = 12/2 = 6 ⇒ ∴ b² = 36

- Lets write the equation in standard form

∵ The equation is x²/a² + y²/b² = 1

∴ x²/(361/4) + y²/36 = 1 ⇒ simplify it

∴ 4x²/361 + y²/36 = 1

* The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

7 0
3 years ago
What place is the 8 in <br><br> 5,678.321
Kitty [74]
In the ones place

*Hope that helps :) Enjoy Brainly :)
5 0
3 years ago
Read 2 more answers
Jason drove 1,080 miles in 20 hours. What was his speed in miles per hour?
Artemon [7]

the awnser is c 10 miles per hour

7 0
3 years ago
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50 written as a product of its prime fac<br> tors
Maru [420]
Start by identifying any factor of 50 and then rewriting 50 to include that one factor and another:

50 = 5 * 10              5 is prime, but 10 is not.  Thus, factor 10:

50 = 5 * 5 * 2        This is 50 as a product of its prime factors 5, 5 and 2.
7 0
3 years ago
Gary wants to buy a video game with a selling price of $48, on sale for 50% off. The sales tax in his state is 4.5%. How much wi
Anna [14]

Answer:

$25.20

Step-by-step explanation:

First, take the 50% off the sales price:

($48)*(-0.50) = -$24.

($48 - $24) = $24 sale price.

Tax on $24 is ($24)*(0.05) = $1.20

Add the price and sales tax:

$24 + $1.20 = $25.20

5 0
2 years ago
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