Gigi graphs the parabola (x+1)2=2(y−3).
How does she proceed?
Drag a value, coordinates, equation, or word to the boxes to correctly complete the statements.
Answers
After graphing the parabola [tex](x+1)^2=2(y-3)[/tex], she can fill the boxes as follows:
Gigi identifies that the vertex of the parabola is [tex](-1, 3)[/tex]. The parabola opens up, and the focus is [tex]\frac{1}{2}[/tex] unit away from the vertex. The directrix is [tex]1[/tex] unit from the focus. The focus is the point [tex](-1, \frac{7}{2})[/tex]. The directrix of the equation is [tex]y=\frac{5}{2}[/tex].
Since Gigi's parabola has the x-term squared, then the parabola has the general formula
[tex](x-h)^2=4p(y-k)[/tex]
So,
[tex]x-h=x+1 \implies h=-1[/tex]
[tex]y-k=y-3\implies k=3[/tex]
The vertex is
[tex](h,k)=(-1,3)[/tex]
The focus is
[tex](h,k+p)=(-1,3+\frac{1}{2})\\=(-1,\frac{7}{2})[/tex]
The directrix is
[tex]y=k-p=3-\frac{1}{2}=\frac{5}{2}[/tex]
The other values can be computed as follows;
Direction the parabola opens: Since the value of p is positive, the parabola opens up.
Distance of focus from vertex: The focus and vertex both have the same x position, so the distance will be in terms of the y-coordinates only. The distance from the focus to the vertex is
[tex]\frac{7}{2}-3=\frac{1}{2}\text{ unit}[/tex]
Distance of directrix to focus: The directrix is the line [tex]y=2.5[/tex]. The distance of the directrix to the focus will be
[tex]\frac{7}{2}-\frac{5}{2}=1 \text{ unit}[/tex]
Learn more about conic sections here: https://brainly.com/question/12854078
Answer:
I took the quiz.
Step-by-step explanation:
Related Questions
If I type 800 words in 16 minutes,
how many words do I type per minute
Answers
Answer:
50 per minute
Step-by-step explanation:
Answer:
The answer is 50 words per minute
Step-by-step explanation:
16x50=800
800/16=50
HOPE THIS HELPS!!
How to subtract? how can we minus 7 from 2 how can we maintain sign
Answers
Answer:
a² - b² = (a+b)(a-b)
Step-by-step explanation:
= 2x² - 7x²
=(2x + 7x)(2x - 7x)
Answer:
-5x²
Step-by-step explanation:
combine like terms in 2x²-7x²
$299 for 4 tires. What is the cost for one tire? Round your answer to the nearest whole number..
$70 per tire
$75 per tire
$72 per tire
Answers
$299/4 = 74.75. Rounded to the nearest whole number would be $75. :)
1, 4, 9, 16, 36, 49, 64 find the pattern
Answers
Answer:
0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144. Its a square number
Step-by-step explanation:
Hope this helps! Please mark brainliest if it did, it means a lot of proogression to me and thanks! <3
Answer:
Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.
Step-by-step explanation:
Davina received 50 votes, Binh received 40 votes. What is the ratio of Binh's votes to Davina's votes in simples form?
Answers
Answer:
The answer is 4 hope this helps
The equation of line l is y=2/3x+5. The equation of line m is y=3/2x−1. What is the relationship between the two lines?
Answers
Answer:
If there is not a typo and you aren't missing a minus sign on the slopes, l and m are simmetrical relative to the line [tex]y=x+\frac{13}5[/tex]
If there is a typo nad one of the slopes is negative, they're perpendicular.
Step-by-step explanation:
The product of the slope is 1 -unless you forgot a minus sign somewhere.
In general, two lines of the form [tex]y=kx ; y= \frac1k x[/tex] are simmetrical relative to [tex]y=x[/tex]. Alas, the intercepts are different, but it's easy to spot by drawing them that they would be simmetrical to the parallel to [tex]y=x[/tex] passing through their intersection, by translation. Let's find that point
[tex]\frac23x +5 = \frac32x-1\\4x+30 =9x-6 \rightarrow 5x=36 \rightarrow x= \frac{36}5\\y=\frac 23(\frac{36}5)+5 = \frac{24}5 + \frac{25}5 = \frac{49}5[/tex] Their simmetry line - which is also their angular bisector! - is [tex]y=x+\frac{13}5[/tex]
please help me there are 3 more questions please
Answers
Answer:
Question 1: C) <5
Question 2: B) 139
Step-by-step explanation:
Question 1: They are looking for an angle with the same degrees as angle 4. There are for angles that have that, 1,4,5,8. When looking for the answer there is only one answer that fits in with those numbers, and that is answer C) <5.
Question 2: They provide us with the first angle of 139 degrees. Angle N corresponds with the first angle. Therefore angle N must be the same as the first angle, equaling 139 degrees.
Quadrilateral ABCD is rotated 90 dockwise and the result is quadrilateral PQRS.
Which of the following sides on Quadrilateral PQRS is congruent to side AB on Quadrilateral ABCD-
А side PQ
B
side QR
С
side RS
D
side SP
Answers
The arithmetic sequence 1, 3, 5, 7, 9,. . . Represents the set of odd natural numbers. What is the explicit rule for the sequence? ak = (k - 1).
Answers
The explicit rule for the sequence is Tn = 2n - 1
Given the sequence 1, 3, 5, 7, 9...
The explicit formula for the nth term is expressed as:
[tex]T_n=a+(n-1)d[/tex]
a is the first term = 1
d is the common difference = 3 - 1 = 5 - 3 = 2
n is the number of terms
Substitute the given parameters into the formula to have;
[tex]T_n = 1+(n-1)(2)\\T_n=1+2n-2\\T_n=2n-1[/tex]
Hence the explicit rule for the sequence is Tn = 2n - 1
Learn more on AP here: https://brainly.com/question/24072079
Answer:
1st: 1+(k-1)2
2nd: 399
3rd: C
4th: 40,000
Jillian was able to fill exactly 4 paper cups from 24 ounce bottle .At what rate how many cups can she expect to fill from a 66 ounces bottle?
Answers
11 cups
Explanation:
24/4 = 6
66/6 = 11
Find the value of h and k.
Answers
Answer:
h = 6, k = 6.5
Step-by-step explanation:
The segment marked h is half the length of the one marked 3h-6.
2h = 3h -6
6 = h . . . . . . . add 6-2h
__
The segment marked k is half the length of the one marked 2h+1.
2k = 2(6) +1
k = 13/2 = 6.5 . . . . divide by 2
The values of h and k are 6 and 6.5, respectively.
Pls answer this 100 points if so
Answers
To your question
Answer:
(f) can you plz mark brainiest
Step-by-step explanation:
the product of 32.7 and 0.9 is?
Answers
Answer:
pruduct means multiply so 32.7x0.9=29.43
I will give brainliest if applicable
The Boeing 747-8 Intercontinental Jet can carry approximately 422,000 gallons of gasoline, making it possible for the jet to travel 14,430 kilometers before needing to refuel.
CREATE A LINEAR MODEL that represents the amount of gasoline on the plane, in gallons, as a function of the flight time, in hours. Show all of your work.
Answers
Answer:
The average is exactly 26,375 gallons of gas per hour.
How I found this is buy subtracting each numbers like 422,000 - 369,250 = 52,750. 369,250 - 316,500 = 52, 750 and so on. They all ended up being 52,750, but then I realized that they are all 2 hours apart and the question asks of gallons of gas per 1 hour so then I divided 52,750 in half and got my final answer, 26,375.
Step-by-step explanation:
This is how much gas the jet uses per 1 hour
my question doesn't ask me to create a linear model but it asks for gasoline per hour, and it's just like this question with the same graph so if you have the same as me this is the answer.
The product of 7 and a number is greater than 42. If the number is a whole number less than 10 , what could the number be?
Answers
Answer:
8 or 9
Step-by-step explanation:
Your primary equation that they gave you is ?b and has to be greater than ?a 7 x ?a =42
So your answer to ?a is 7 because 7 x 7 =42 therefore your answer to ?b has to be 8 or above.
the next part of your problem states that it is a whole number UNDER 10.... this limits your possible answer to either 8 or 9.
Solve the conjunctions below.
2 < x/3 - 5 < 6
3 < 2(x + 2) - 7 ≤ 13
Answers
Answer:
top: 21 < x < 33
bottom: 3 < x ≤ 8
Step-by-step explanation:
Hi, How do I do this?
Answers
Answer:
3and3 4and 2 5and1
Step-by-step explanation:
3 is the coordinate of 3 4is the coordinate of 3 5is the coordinate of 1
The marked price of a bottle of shampoo at the grocery was $7. During a manufactory direct sale, a discount of 25% was given. A further 14% discount was given to those customers owning a member card. How much would a member customer need to pay for a bottle of shampoo during the sale?
Need an answer now please not a link
Answers
Answer:
$4.52 is what they'd need to pay.
Step-by-step explanation:
0.25 x 7 = 1.75
7 - 1.75 = 5.25
100 - 14 = 86
0.86 x 5.25
= 4.515 and round to the nearest hundredth
What is 4+2(5)+(-3)=
Answers
Answer:
The answer is 11, I think, hope this helps!
Step-by-step explanation:
=================================================
Solve.
[tex] \tt4 + 2(5) + ( - 3) \\ = \tt4 + 10 + ( - 3) \\ = \tt14 + ( - 3) \\ = \underline{ \boxed{\tt 11}}[/tex]
Therefore, the answer is 11.
=================================================
[tex] \underline{{\sf \: \: \#CarryOnLearning! \: \:}} [/tex]
Opps, forget to add picture. 6 minutes left. Pls help, thank you!
Answers
Answer:
I don't know sorry please forgive me
Answer:
D
Step-by-step explanation:
mean is 11.25 and midian is 10.50
Confused help please
Answers
Answer:
130
Step-by-step explanation:
1 and 2 form a straight line, so they are supplementary. That means they add up to 180. So,
a1+a2=180
50+a2=180
a2=130
Answer:
it would be B.130
Step-by-step explanation:
considering an angle can only go to 180* subtract 50 from 180 and you get 130
joe mammamamamamamaamamamma
Answers
Answer:
this joke is getting old lol
Step-by-step explanation:
What equation is graphed in this figure?
O 2x+y=-3
O 20y=-3
O 2x+y=3
O 2x -y=3
Answers
Answer: 2x-y=3
Step-by-step explanation:
Rewrite 2x-y=3 in standard form: y = 2x -3
The line on the graph has a y-intercept of -3, as does this equation. We can also see a slope of 2 (y goes up by 2 for every time x increase by 1).
Daniel is a piano teacher. He charges the same amount, s, for every teaching session. After 19 sessions, he has earned $1,235. How much does Daniel charge for 1 teaching session? Write a division equation.
Answers
Answer:
£65
Step-by-step explanation:
1235 / 19 = 65
(Meeting character limit)
4 1/4-2 3/5 what is this
Answers
radius of a circle with 11,304 circuference
Answers
Answer:
1799.08748
Rounded version: 1799
Step-by-step explanation:
Report me if its wrong mark me Brianliest if its right.
HELP *picture inserted*
Answers
The answer is b……..
Two cubes are of sides 6 inches and 8 inches respectively. Find the ratio of (a) their sides, (b) their areas on one face, (c) their volumes.
Answers
Answer:
a. the ratio of the sides is 6: 8, or 3:4
b. the ratio of the surfaces is [tex]\frac{6\times 6}{8\times8}[/tex] or 9:16, the square of the ratio of the sides.
c. the ratio of the volumes is [tex]\frac{6\times6\times6}{8\times8\times8}[/tex] or 27:64, the cube of the ratio of the sides.
I’m working on 3 and 4 only maybe if I can have some explanation so I can understand and do more of these next week.
Answers
4.b.
Answer: See below.
Step-by-step explanation:
For the equation f(x) = 2x3.a. f(6) means use x = 6 in the equation f(x) = 2x
so f(6) would be f(6)= 2(6)
f(6) = 12
3.b. f(-11) = 2(-11)
f(-11) = -22
3.c. f(2.75) = 2(2.75)
f(2.75) = 5.5
3.d. This is turned around. We are told f(x)=20, so what would x need to be for f(x) to be 20? Since f(x) = 2x, we can say 20 = 2x. Therefore x = 10
f(10) = 20
The rest of (3) are solved in the same fasion.h
For the equation f(x)= 5x+50
4.a. f(7) = 5(7)+50
f(7) = 85
4.b. f(-12)
f(-12) = 5*(-12)+50
f(-12) = -60
Continue in the same fashion for these types of problems.
I GIVE BRANLIEST. Question is on the bottom
Answers
Answer:
432
24*36
---------- = 432
2
