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katrin2010 [14]
4 years ago
8

What is the General form of the parabola of (y-3)^2=6(x+8)

Mathematics
1 answer:
MatroZZZ [7]4 years ago
4 0

Answer:

x = 1.5t^{2}  , y = 3 + 2at.

Step-by-step explanation:

For the parabola Y^{2} = 4aX ,

General form will be

(X = at^{2} , Y = 2at) ,

Thus , for the parabola (y-3)^{2} = 6(x +8)

Here , a = 1.5 and Y from the above equation should be substituted by y - 3 and X must be substituted by x + 8. After substitution of the same we can  use the general equation formula for this parabola also.

Thus , general equation comes out to be :-

x + 8 = 1.5t^{2} , y - 3 = 2at

x = 1.5t^{2}  , y = 3 + 2at.

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8. A carpenter cut the top section of a window frame with a 37 degree angle on each end. The side pieces each have 50 degree ang
marshall27 [118]

Answer:

I will assume that the end of the top section if it were cut at 0 degrees would be cut at right angles to the length of the section.  

Joining a top section with a 37 degree end angle to a side piece with a 50 degree end angle will result in the length of the side piece being at an angle of  

37 + 50 = 87 degrees to each other.  

The same will be true for the other side.  

If the sides were parallel, then going up one side, across the top and then down the other side will result in a change of direction of 180 degrees. However, in this frame the direction turns 87 degrees at the first top corner and another 87 degrees at the second top corner. This is a total of  

87 + 87 = 174 degrees instead of 180 degrees.  

The two sides diverge at an angle of  

180 - 174 = 6 degrees from each other as they extend downwards from the top of the frame

Step-by-step explanation:

4 0
3 years ago
Please Help!
RUDIKE [14]

Answer:

1. this is the definition of a midpoint - bc the definition of a midpoint is: “If a point is a midpoint of a segment, then it divides that segment into two congruent parts” or “If a point divides a segment into two congruent parts, then it's the midpoint of that segment.”

2. this is the division property of equality -"The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal". so, in this situation we want to isolate x which means dividing both sides by 20. This will keep both sides equal just more simplified  ( before, it was 20 and 100, after dividing both sides by 20 it is 1 and 5 which is the same ratio therefore they are still equal)

3. this one's the subtraction property of equality- this property means you can subtract the same number from both sides of an equation and get an equivalent equation. in this situation, they subtracted 15 from both sides to get AB = 30 and it ends being still being equal to AB + 15= 45.

4. this is the symmetric property of equality -  "This property states that if a = b, then b = a. That is, we can interchange the sides of an equation, and the equation is still a true statement." "it states that values are still equal no matter which side of the equal sign they're on." That's why its possible for XY=ST and ST=XY

5. this is definition of congruence - which basically states that if a value of one thing is equal to the value of another thing those two things can be called congruent.

6. this is substitution property- this is the property that allows you to substitute one value for another in an equation. the property states  that if  

x = y, then x can be substituted in for y in any equation, and y can be substituted for x in any equation, just like what they show here with 5AB substituting for CD in the equation.

i hope this helped!   im not that good at explaining so if u have more questions lmk!          

3 0
3 years ago
HELP QUICK THIS IS EASY IM JUST DUM
Elena L [17]

Answer:

0.0332

Step-by-step explanation:

Min put too many zeros in front of 33.2. 33.2 with 3 zeros in front is 0.0332

4 0
2 years ago
Read 2 more answers
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Harlamova29_29 [7]
I believe your answer is 8.

Three times a number less than twice the number and nine is seventeen can be written as: 3n - 2n + 9 = 17

Solve for n as follows:

3n - 2n = n 

n + 9 = 17

17 - 9 = 8

Hope this helps! :)
7 0
3 years ago
Olivia is hosting a dinner party in her garden. She has hired caterers to serve dinner. The caterers charge a fee to set-up the
natka813 [3]

Answer:

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Step-by-step explanation:

5 0
3 years ago
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