Answers
9514 1404 393
Answer:
11. y = -1/4x² +1
12. y = 1/6(x -3)² +5/2
Step-by-step explanation:
Since 9-12 are all the same, we can solve the problem generically and plug in the given numbers. Let the focus be (a, b) and the directrix be y=d.
The vertex is halfway between the focus and directrix, so its coordinates will be (a, (b+d)/2). The distance from focus to directrix is b-d. Given these conditions, the equation of the parabola is ...
y = 1/(2(b-d))(x -a)² +(b+d)/2
__
11. For (a, b) = (0, 0) and d = 2, the equation is ...
y = 1/(2(0-2))(x -0)² +(0+2)/2
y = -1/4x² +1
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12. For (a, b) = (3, 4) and d = 1, the equation is ...
y = 1/(2(4-1))(x -3)² +(4+1)/2
y = 1/6(x -3)² +5/2
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The attachments show the graphs of these. You can verify the graph by noticing ...
a) the vertex is halfway between the focus and directrix
b) a horizontal line from the focus to the curve is the same length as a vertical line from the directrix to the same point on the curve
Related Questions
WILL GIVE BRAINLIEST IF IT IS RIGHT AND EXPLAINED
Answers
Answer: x=36 degrees
Step-by-step explanation:
Angle EAF and FAB must equal 180 degrees together as all straight lines do. 36 times 3= 108 degrees so 3x=108 degrees. 36 times 2= 72 degrees so 2x=72 degrees. Therefore, 3x+2x=180 degrees.
Decide if the expressions in each pair are equivalent. Explain how you know.
x + x + x + x and 4x
5x and x + 5
Answers
Answer:
20x²+5x+5
Step-by-step explanation:
any more help just ask
Which list shows these numbers in order from least to greatest?
Answers
It would be
B since it is in least to greatest order
Answer:
-3,-2,0,2,3 [c]
Step-by-step explanation:
I had that quiston on my warm up [edge 2021] and got it right
i first tried b and that didnt work
Algebra 1 help, please!! ............................................................................
Answers
Answer:
D
Step-by-step explanation:
(f-g)(x) = 3ˣ + 10x - (5x - 3)
= 3ˣ + 10x - 5x + 3 {Combine like terms}
= 3ˣ + 5x + 3
Answer:
d
Step-by-step explanation:
A scientist at a giant panda preserve in china measrued the length of a newborn cub as 15.5 centimeters. The cubs mother was 9.5 times as tall as the length of the cub. How tall is the mother
Answers
Answer:
The height of the mother is 147.25cm
Step-by-step explanation:
The height of the new-born panda is 15.5 centimeters.
Let the height of the mother be = x
We know from the problem that the mother is 9.5 times taller than the baby.
We can get the height of the mother by multiplying the height of the baby by 9.5.
i.e x = 9.5 X 15.5 = 147.25cm
I’ll give brainlest to you if you answer this question correctly!
Answers
Answer:
Step-by-step explanation:
we can take any value as its two variable equation.
(-3,0) (0,9) (-2,3)
put these numbers on a graph
I hope this helps
Hurryyyyy I’m giving brainliest
Solve for w.
16 = W/2
Answers
Answer:
W=32
Step-by-step explanation:
16x2=32
32/2=16
Given the graphed function below, which of the following ordered pairs are
found on the inverse function?
Answers
Answer: Option B.
Step-by-step explanation:
A linear function can be written as:
y = a*x + b
where a is the slope and b is the y-intercept.
if the line passes through the points (ax, ay) and (bx, by) then the slope is:
a = (bx - ax)/(by - ay)
In this case, we can see that the line passes through the points:
(1, 3) and (2, 1)
Then the slope is:
a = (1 - 3)/(2 - 1) = -2
y = -2*x + b
In the graph we also can see that the line intersects the y-axis at y = 5, then b = 5.
The line is:
y = f(x) = -2*x + 5.
the inverse function is such that:
g( f(x)) = x
to find the inverse function of a linear equation, we just could isolate x.
y - 5 = -2x
-y/2 + 2.5 = x
Then we could write the inverse function as:
g(x) = - x/2 + 2.5
Now we need to see which pairs belong to this line. I just will evaluate the function g(x) in different values of x, and see which points belong to the line.
g(9) = -9/2 + 2.5 = -4.5 + 2.5 = -2
(9, -2) belongs to the line.
g(7) = -7/2 + 2.5 = -3.5 + 2.5 = -1
Then (7, -1) belongs to this line.
g(5) = -5/2 + 2.5 = 0
Then the point (5, 0) belong to this line.
We can already see that all these points are in option B, then option B is the correct one.
Complete the explanation of how an estimate helps you to place the decimal point when multiplying 1.8 × 5.4.
Answers
HELP ASAPP PLEASE OR ELSE I WILL FAIL CLASS
Answers
5x= -25
X= -5
B) one solution
C) i think it is : ( 14 + 10(-5))/ 12 = -36/ 12= -3
What else is produced during the replacement reaction of magnesium and hydrochloric acid? Mg + 2HCl H2 + ________ MgCl2 Mg2Cl2 Mg2Cl MgCl
Answers
Step-by-step explanation:
Magnesium chloride (MgCl2).
Answer:a
A
Step-by-step explanation:
Edge 2021
Write an equation of a line parallel to this line:
y - 1 = -3(x + 4)
Answers
Answer:
Step-by-step explanation:
y-1 =-3x-12
Equation of a line is y=mx+c
y=-3x-12 +1
y= -3x -11
parallel lines men you can use the same gradient so e,g y=-3x+12
Somebody help um please
Answers
Answer:
the last one and the second one I think. Maybe the first one not very sure.
(-7,-1) (-1,-7) (3,-11) (7,-15) What is the range of the set of ordered pairs above?
Answers
Answer:
The range of the set of ordered pairs are [tex]Y =\{-1,-7,-11,-15\}[/tex].
Step-by-step explanation:
Let [tex](x,y)[/tex] be an ordered pair, where [tex]x[/tex] corresponds to an element of the domain and [tex]y[/tex], an element of the range. Hence, the range of the set of ordered pair are:
[tex]Y =\{-1,-7,-11,-15\}[/tex]
The range of the set of ordered pairs are [tex]Y =\{-1,-7,-11,-15\}[/tex].
helpmepleasethankyou:)
Answers
Answer:
4 6-packs would cost $14.40
8 6-packs would cost $28.80
1 juice would cost $0.60
8. 3x+10=14y
8х -7y= 34
Answers
Answer:
hey, are these two questions or one simultaneous question?
Anyone good at math? I need some help, not as hard as it looks, my brain is just dead will give brainlest
In a local election, four nominees each received a portion of the votes, as shown in the table.
Nominee Voting Portion
Mr. Douglas 9/50
Mrs. Maury 26%
Mr. Hill 7/20
Mrs. Jackson 0.21
Put the nominees in order of how many votes they received, beginning with the winner.
Mrs. Maury, Mr. Hill, Mrs. Jackson, Mr. Douglas
Mrs. Jackson, Mrs. Maury, Mr. Douglas, Mr. Hill
Mr. Hill, Mrs. Maury, Mrs. Jackson, Mr. Douglas
Mr. Hill, Mrs. Jackson, Mrs. Maury, Mr. Douglas
Answers
In decimal form:
Mr D. = 0.18
Mrs. M = 0.26
Mr H = 0.35
Mrs. J = 0.21
So the order is HMJD and the 3rd option is correct
Answer:
Hmjd its the third answer
Step-by-step explanation:
-3x + 1 – 3 – 6x what is the awnser
Answers
Answer:
-9x-2
Step-by-step explanation:
Answer:
-9x -2
Step-by-step explanation:
-3x + 1 – 3 – 6x
Combine like terms
-3x -6x +1 -3
-9x -2
x+5y=5
-x+6y=-5
Please Help Me Thank you :)
Answers
Answer:
(5, 0)
Step-by-step explanation:
For the first line, we can isolate x by subtracting 5y on both sides.
x=5-5y.
Now we can use substitution on the second line!
-(5-5y)+6y=-5
= -5+5y+6y=-5
=-5+11y=-5
=11y=0
y=0
We subsitute y for the first line,
x+5(0)=5
x+0=5
x=5
We can check our work by plugging in x and y
5+5(0)=5 ✔
-5+6(0)=-5 ✔
Answer:
The lines cross at (5,0)
Step-by-step explanation:
Choose the correct preposition to complete the sentence. To facilitate a quick getaway, the cunning thief parked the car perpendicular the building.
Answers
Answer:
The answer is TO
Step-by-step explanation:
Answer:
C. To
Step-by-step explanation:
edg 2020
At the end of 2006, the population of Riverside was 400 people. The population for this small town can be modeled by the equation below, where t represents the number of years since the end of 2006 and P represents the number of people. Based on this model, approximately what was the increase in the population of Riverside at the end of 2009 compared to the end of 2006?
Answers
The correct format of the question is
At the end of 2006, the population of Riverside was 400 people. The population for this small town can be modeled by the equation below, where t represents the number of years since the end of 2006 and P represents the number of people. [tex]P = 400 ( 1.2 )^ t[/tex] Based on this model, approximately what was the increase in the population of Riverside at the end of 2009 compared to the end of 2006?
(A) 291
(B) 691
(C) 1040
(D) 1440
Answer:
The increase in the population at the end of 2009 is 291 people
Step-by-step explanation:
We are given the equation as [tex]P = 400 ( 1.2 )^ t[/tex]
where
P = No of People
t= No of Years
it is given that in the year 2006 the population is 400
this will only happen when we take t= 0
so for
Year value of t
2006- t = 0
2007- t = 1
2008- t = 2
2009 t = 3
No of people in 2009 will be
[tex]P = 400(1.2)^3[/tex]
= 400*1.728
P = 691.2
Since the equation represents no of people so it can't be in decimals, Therefore the population will be 691
Increase = P(2009) - P(2006)
= 691 - 400
= 291
The increase in the population at the end of 2009 is 291 people.
please help due in 2 min will give max points
Answers
Answer:
x = 4
Step-by-step explanation:
(7x - 2) + (3x + 9) = 10x + 7
(10x + 7) + (8x - 6) = 18x + 1
18x + 1 = 73
18x = 72
72/18 = x
x = 4
Substitute it please!!
Answers
y=1-i
x=-3/2-i/2
thats what it should be
does this ratio form a proportion? show ur work, please!
Answers
AnswerStep-by-step explanation:
[tex] \frac{5}{12} = \frac{170}{} [/tex]
[tex] \frac{5}{12} = \frac{5 \times 34}{12 times 34} [/tex]
Simplify
[tex] \frac{5 \times 34}{12 times 34} = \frac{5}{12} [/tex]
Therefore, the ratio from the relation of the information is proportional.
what is the derivative of ( 2w^2+1 ) ?
Answers
If you know about the power rule,
d/dw (2w² + 1) = 2 d/dw (w²) = 2 • 2w = 4w
If you have to use the limit definition of the derivative, let f(w) = 2w² + 1. Then
[tex]f'(w)=\displaystyle\lim_{h\to0}\frac{f(w+h)-f(w)}h[/tex]
[tex]f'(w)=\displaystyle\lim_{h\to0}\frac{(2(w+h)^2+1)-(2w^2+1)}h[/tex]
[tex]f'(w)=\displaystyle\lim_{h\to0}\frac{2(w^2+2wh+h^2)-2w^2}h[/tex]
[tex]f'(w)=\displaystyle\lim_{h\to0}\frac{4wh+2h^2}h[/tex]
[tex]f'(w)=\displaystyle\lim_{h\to0}(4w+2h)=\boxed{4w}[/tex]
Hello! Can someone please help me with these 2 questions! thank you so much! (i’ll give brainlist)
Answers
Answer:
1) 4 2)1/5 X=10
Step-by-step explanation:
Small to large is a fraction
Large to small is a whole number
Write an express for the perimeter of the figure shown by combing like terms.
Answers
9514 1404 393
Answer:
28k
Step-by-step explanation:
The perimeter is the sum of the four equal-length sides:
P = 7k +7k +7k +7k
P = k(7 +7 +7 +7)
P = 28k . . . . perimeter of the rhombus
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Of course, multiplication was invented to make repeated addition easier. Here, the perimeter is 4(7k) = 28k, no like terms to combine.
The scale on a floor plan is 1in:8ft. What actual distance is represented by a distance of 2.6 inches on the floor plan?
Answers
Answer:16 and 1/2 feet
Step-by-step explanation:
Solve this equation: x - 2 1/4 = 3 1/8
Answers
Answer:
The answer is 5 3/8
Step-by-step explanation:
How is the following reciprocal function f(x)= [tex]\frac{1}{x+2}[/tex] decreasing?
