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vodka [1.7K]
3 years ago
7

Find the standard form of the equation of the parabola with the given characteristics

Mathematics
1 answer:
lord [1]3 years ago
5 0

Answer:

Step-by-step explanation:

The standard equation of a parabola is

y² = 4ax

where, a is the focus,

The coordinates of the centre of parabola is (0,0)

coordinates of focus is (a, 0)

It is symmteric about the x axis

the equation of directrix is x = -a.

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Belle wants to build a sandbox in the shape of a rectangular prism. She needs the volume of her sandbox to be 18 cubic feet and
ycow [4]

Answer:

9x2x1 and 6x3x1

Step-by-step explanation:

This question has multiple answers to it. A sandbox of 18 cubic feet with a height of a foot is actually quite simple. If it is confusing I would try to visualize the sandbox. Since volume is b x h x w the first thing you should do is divide 18 by 1. This would be more important if the height was more than one. Now you just have to find two other numbers that can divide 18. 9x2=18 and 6x3=18 so two possible dimensions for the sandbox are 9x2x1 and 6x3x1

4 0
3 years ago
Use the elimination method to solve the system of equations. Choose the correct ordered pair<br>​
UkoKoshka [18]

Answer:

Answer is B

Step-by-step explanation:

12x - y = 25 \\ 9x + y = 17 \\ x =  \frac{17 - y}{9}  \\ 12( \frac{17 - y}{9} ) - y = 25 \\

\frac{204}{9}  -  \frac{12}{9} y - y = 25 \\  \frac{204}{9}  -  \frac{21y}{9}  = 25 \\  -  \frac{21y}{9}  = 25 -  \frac{204}{9}  \\  -  \frac{21y}{9} =  2.33 \\ - 21y =  20.997 \\ y =  - 0.99

y =  - 1 \\ x =  \frac{17 - y}{9}  \\ x =  \frac{17 -  - 1}{9}  =  \frac{18}{9}   \\ x = 2

5 0
3 years ago
NEED HELP FAST ON THESE 2 questions
Fofino [41]

Answer:

hope it helped u a lot

Step-by-step explanation:

plss give me braniest

7 0
3 years ago
Kate sold 12 of her paintings and purchased 7 more. if kate has 21 paintings now, how many paintings did she have to begin with?
kicyunya [14]
First, let x or any variable represent the number of paintings Kate initially has. After selling 12 of it, her paintings now becomes only x - 12. Then, she purchased 7 more making the number of her paintings become x - 12 + 7 = x - 5. This number tantamount to 21. 

                                           x - 5 = 21      ; x = 26

Thus, Kate initially had 26 paintings. 
7 0
3 years ago
Hi, I am new to this website :) I'm currently taking an online trig class on De Moivre's theorem and I don't understand it at al
Vladimir [108]
De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.

For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes

[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))] 

it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
and that is the answer.

For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)

[2^6(cos(40*6))+isin(40*6)],

[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)

And the answer is -32 -32 √3 i

Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i

7 0
3 years ago
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