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Marina86 [1]
2 years ago
13

Someone help plzzzzz

Mathematics
1 answer:
Dovator [93]2 years ago
8 0

Answer:

for the first box the answer is 4x but I dont know the y intercept

Step-by-step explanation:

get 2 points the do y2-y1/x2-x1 then you get your x

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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
A rope from the top of a mast on a sailboat is attached to a point 6 feet from the base of the mast. If the rope is 24 feet long
Zanzabum

Answer: It is about 23 feet.


Step-by-step explanation:

1. Let's call <em>x</em> the height of the mast.

2. You know that the rope is attached to a point 6 feet from the base of the mast and the rope is 24 feet long, therefore, you can draw the right triangle shown in the figure attached.

3. To calculate <em>x</em>, you must apply the Pythagorean Theorem as you can see below:

x=\sqrt{(24ft)^{2}-(6ft)^{2}}\\x=\sqrt{540ft^{2}}

x≈ 23ft

3 0
3 years ago
HELLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
MrRa [10]

Answer:

96

Step-by-step explanation:

you have to find the answer to 8t by the power of 2 multiplied witch is 64 + 32t = 96

7 0
2 years ago
Any help please? Having a hard time
german

Answer:

the answer is c

Step-by-step explanation:

x and y have to be at least 12, so that's why the greater than sign was used

the amount of money had to be at most $230, so that's why the less than sign was used

they said x and y represent black and white respectively, so that means x is black and y is white, so it is 18x and 20y

8 0
3 years ago
Read 2 more answers
Can someone please help me asap!!
deff fn [24]
The answer will be 24 23/100
4 0
2 years ago
Read 2 more answers
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