Answers
Answer:
Step-by-step explanation:
You want to reverse the algebra and solve for y. First you want to subtract the 'a' to both sides.
x - a = -2by^2
Divide by -1 on both sides
-x + a = 2by^2
Divide by 2b on both sides
(-x + a)/2b = y^2
Take the square root of both sides
[tex]\sqrt{(-x+a)/2b}=y[/tex]
Related Questions
28775 tickets are sold for a football match. Children’s tickets cost £15. The ratio of children to adults is 9:16.
If the total ticket sales makes £615785, what is the difference between the price of an adults ticket and a children’s ticket?
Answers
Answer:
Difference = £10
Step-by-step explanation:
Represent adult with A and children with C
[tex]A + C = 28775[/tex]
[tex]C : A = 9 : 16[/tex]
[tex]Sales = 615785[/tex]
Required
Determine the difference in price of both tickets
[tex]A + C = 28775[/tex]
Convert ratio to fraction
[tex]C : A = 9 : 16[/tex]
[tex]\frac{C}{A} = \frac{9}{16}[/tex]
Cross Multiply
[tex]16C = 9A[/tex]
Make C the subject
[tex]C = \frac{9}{16}A[/tex]
Substitute [tex]C = \frac{9}{16}A[/tex] in [tex]A + C = 28775[/tex]
[tex]A + \frac{9}{16}A = 28775[/tex]
Take LCM
[tex]\frac{16A + 9A}{16} = 28775[/tex]
[tex]\frac{25A}{16} = 28775[/tex]
Multiply both sides by 16
[tex]16 * \frac{25A}{16} = 28775*16[/tex]
[tex]25A= 28775*16[/tex]
[tex]25A= 460400[/tex]
Make A the subject
[tex]A = \frac{460400}{25}[/tex]
[tex]A = 18416[/tex]
Substitute 18416 for A in [tex]C = \frac{9}{16}A[/tex]
[tex]C = \frac{9}{16} * 18416[/tex]
[tex]C = \frac{9* 18416}{16}[/tex]
[tex]C = \frac{165744}{16}[/tex]
[tex]C = 10359[/tex]
If a children ticket costs £15, then total children tickets cost:
[tex]Children = 10359 * 15[/tex]
[tex]Children = 155385[/tex]
The total sales is given as:
[tex]Sales = 615785[/tex]
So, the total cost of adult ticket is:
[tex]Adults = 615785 - 155385[/tex]
[tex]Adults = 460400[/tex]
Recall that number of adults is: 18416
So, an adult ticket costs
[tex]An\ adult\ ticket = \frac{460400}{18416 }[/tex]
[tex]An\ adult\ ticket = 25[/tex]
So, we have that:
Children Ticket = £15
Adult Ticket = £25
The difference is:
Difference = £25 - £15
Difference = £10
Compare: 1.6 x 10^-5 and 1.62 x 104^-4
A) >
B) <
C) =
D) none of the above
Answers
Answer:
D
Step-by-step explanation:
NEED HELP NOW! 5 questions, 76 points!
1.
Given points B(−12,2), T(−8,10), A(−7,12), F(−6,10), and G(−2,2), which of the following proves that △BAG~△TAF?
2.
Given points A(2,1), B(1,4), C(−1,10), D(8,13), and E(4,5), which of the following proves that △ABE~△ACD?
Answers:
By the Distance Formula,AB=310‾‾‾√,AC=10‾‾‾√, AE=65‾√, and AD=25‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SAS ∼.
By the Distance Formula,AB=310‾‾‾√,AC=10‾‾‾√, AE=65‾√, and AD=25‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SSS ∼.
By the Distance Formula,AB=10‾‾‾√,AC=310‾‾‾√, AE=25‾√, and AD=65‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SSS ∼.
By the Distance Formula,AB=10‾‾‾√,AC=310‾‾‾√, AE=25‾√, and AD=65‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SAS ∼.
3.
Given points M(1,2), N(4,4), P(5,−1), J(−7,−1), K(−1,3), and L(1,−7), which of the following proves that △MNP≈△JKL?
Answers:
By the Distance Formula,MN=13‾‾‾√,NP=26‾‾‾√, and PM=5.Also, JK=213‾‾‾√,KL=226‾‾‾√, and LJ=10.Therefore, MNJK=NPKL=PMLJ=12, andtherefore, △MNP∼△JKL by SAS ∼.
By the Distance Formula,MN=13‾‾‾√,NP=26‾‾‾√, and PM=5.Also, JK=213‾‾‾√,KL=226‾‾‾√, and LJ=10.Therefore, MNJK=NPKL=PMLJ=12, andtherefore, △MNP∼△JKL by SSS ∼.
By the Distance Formula,MN=13,NP=26, and PM=25.Also, JK=52,KL=104, and LJ=100.Therefore, MNJK=NPKL=PMLJ=14, andtherefore, △MNP∼△JKL by SSS ∼.
By the Distance Formula,MN=13,NP=26, and PM=25.Also, JK=52,KL=104, and LJ=100.Therefore, MNJK=NPKL=PMLJ=14, andtherefore, △MNP∼△JKL by SAS ∼.
4.
Given points M(−5,5), R(−2,6), I(−2,4), B(2,−2), A(8,0), and G(8,−4), which of the following proves that △MRI~△BAG?
Answers:
By the Distance Formula,MR=10‾‾‾√,RI=2, and IM=10‾‾‾√.Also, BA=210‾‾‾√,AG=4, and GB=210‾‾‾√.Therefore, MRBA=RIAG=IMGB=10√210√=12,and therefore, △MRI~△BAG by SSS ~.
By the Distance Formula,MR=10,RI=2, and IM=10.Also, BA=40,AG=8, and GB=40.Therefore, MRBA=RIAG=IMGB=1040=14,and therefore, △MRI∼△BAG by SSS ∼.
By the Distance Formula,MR=2,RI=10, and IM=10.Also, BA=8,AG=40, and GB=40.Therefore, MRBA=RIAG=IMGB=1040=14,and therefore, △MRI∼△BAG by SAS ∼.
By the Distance Formula,MR=10‾‾‾√,RI=2, and IM=10‾‾‾√.Also, BA=210‾‾‾√,AG=4, and GB=210‾‾‾√.Therefore, MRBA=RIAG=IMGB=10√210√=12,and therefore, △MRI∼△BAG by SAS ∼.
5.
Given points L(−2,−2), A(−6,−3), U(−14,−5), X(4,−5), and P(0,−3), which of the following proves that △XUL~△PAL?
By the Distance Formula,LX=317‾‾‾√,PL=17‾‾‾√, LA=5‾√, and LU=35‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SSS ∼.
By the Distance Formula,LX=35‾√,PL=5‾√, LA=17‾‾‾√, and LU=317‾‾‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SAS ∼.
By the Distance Formula,LX=35‾√,PL=5‾√, LA=17‾‾‾√, and LU=317‾‾‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SSS ∼.
By the Distance Formula,LX=317‾‾‾√,PL=17‾‾‾√, LA=5‾√, and LU=35‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SAS ∼.
Answers
Answer:
Q1: 5, 5 SAS
Step-by-step explanation:
Q2: 10 sas
Q3:13 sss
Q4: 10 sss
Q5: 35 sas
Question 10(Multiple Choice Worth 1 points)
(05.02 MC)
The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in either college or high school:
High Low Q1 Q3 IQR Median Mean σ
College 50 6 8.5 17 8.5 12 15.4 11.7
High School 28 3 4.5 15 10.5 11 10.5 5.8
Which of the choices below best describes how to measure the spread of these data?
(Hint: Use the minimum and maximum values to check for outliers.)
Both spreads are best described by the IQR.
Both spreads are best described by the standard deviation.
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
The college spread is best described by the standard deviation. The high school spread is best described by the IQR.
Answers
Answer:
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
Step-by-step explanation:
The college data has large outliers which skews the data, therefore the IQR is better measure of spread.
The high school data does not appear to be skewed so the standard deviation is fine as a measure of spread.
32 feet long and 6 yards wide what is the perimeter in feet
Answers
Answer:
100
Step-by-step explanation:
1 yard = 3 feet
6 yards = 18 feet
(18*2)+(32*2)
36+64
100
Answer: The perimeter is a 100 feet.
Step-by-step explanation:
If it is 32 feet long and 6 yards wide then I am thinking that the shape will be a rectangle.
To find the shape of a rectangle, you can use the formula, P = 2l+2w were P is the perimeter, l is the length, and w is the width.
But first since feet and yards are different measurements, and the question is asking for the perimeter in feet, then you will first have to convert 6 yards to feet.
6 yards = 18 feet
This means that the sides will be 32 feet long and 18 feet wide.
Now using the formula, input 32 for L and 18 for W and solve for P the perimeter.
P = 2(32) + 2(18)
P = 64+ 36
P = 100
What is the slope of the graph?
Answers
Answer:
The slope of the graph is 10.
ACFG is a parallelogram, If AG = 2x + 10 and CF = 5x – 2, find CF.
Answers
Answer:
d. 18
Step-by-step explanation:
Lengths AG and CF of the parallelogram are equal.
i.e AG = CF
where AG = 2x + 10
CF = 5x -2
→ 2x + 10 = 5x-2
(collecting like terms): 5x - 2x = 10 + 2
→ 3x = 12
x=12÷3 = 4
∴ CF = 5x -2 = 5(4) -2 = 20 - 2 = 18
∴ CF = 18 (answer)
PLZ ANSWER QUICK IT WILL HELP A LOT!
Answers
Answer:
The answer is b
Step-by-step explanation:
If y is reflected it will cause both to change
Answer:
it's b
Step-by-step explanation:
its b because yeah
solve each system of equation by graphing
3x-5y=15
y=2x+4
Answers
brown skin girl brown skin just like pearls
Answer:
Solution: (-5,-6)
Graph:
PLEASE HELP IN MATH URGENT..
Answers
Answer:
b
Step-by-step explanation:
Which is equivalent to 42x +49.
A. 2 (21 + 24)
B. 8x + 13
C. 4 (2x + 9)
D. 7 (6x + 7
Answers
Answer:
D. 7 (6x+7)
Step-by-step explanation:
Factor 7 out of 42x + 49
D. 7(6x+7)
List the ordered pairs and determine whether or not this is a function
Ordered pairs : ?
Is this a function : ?
Answers
This is not a function because in order to be a function, every x value needs to have one and only one y value. You can see here that the x values have two y values, so it is not a function.
Leah wants to figure out how many notebooks are in her class. She knows 2 points
that twenty-six less than two times the number of notebooks equals 10.
Write an equation to represent the number of notebooks. *
A. 2x+26=10
B. -26=10x
C. 26-2x=10
D. 2x-26=10
PLEASE HELP I ONLY HAVE 30 MINUTES
Answers
Answer: D
The answer is D
Bonnie has been hired to make a frame to go around a large mural. She will have 300 tiles to use. How many tiles should she place along one side of the square frame for the mural? Work with your team and be prepared to describe your process to the rest of the class.
Answers
Answer:
she should place 76 tiles along 1 side of the square
Step-by-step explanation:
300 = 4n - 4
answer will leave u with n=76
Georgia needed to sell her iPhone. She priced it at
$650 the first day. The second day she reduced the
price by 12%. What was the price of the phone after
this reduction?
Answers
Answer:
572
Step-by-step explanation:
12% of 650 is 78
650 - 78 = 572
which expression is equivalent to 3 x 3 x 3 x 3
Answers
Answer:
I can’t c anything where are the answers we’re choosing ?
Step-by-step explanation:
Answer:
raise 3^4 and ans is 81 or u can simply multiply.
Find 6 hole number 1 over 4
Answers
Answer:
it's whole not hole
Step-by-step explanation:
What is the name of the decimal number?
3.54
Answers
Answer:
Three and fifty four hundredths.
I hope this helps!
Answer:
54 hundreths
Step-by-step explanation:
Please help I have 30 minutes or I fail this assignment no joke please answer all the questions there's only four.
Answers
Answer:
Sorry if I am wrong don´t count on me tho I would wait until someone else answers cause I might be wrong.
1). 9
2). -2
3). i don´t know
4). i don´t know
Step-by-step explanation:
Sorry plz don´t be mad I´m only in 4th grade
The scatterplot for number of enrollments, N, in a sports club, t years after the
year 2006. The equation of the line of the best fit is N = 62t + 35. Find the residual
for the number of enrollments in year 2020 if the actual enrollment is 885
students.
Answers
Answer:
13.7 years
Step-by-step explanation:
The equation of the line of the best fit is N = 62t + 35
where
N is the number of enrollments
t is years after the year 2006
If the actual enrollment is 885 students. Put N = 885 in the given equation.
885 = 62t + 35
or
885 -35 = 62t
850 = 62t
t = 13.7 years
So, the required answer is 13.7 years.
150 pounds to 135 pounds, What's the percent of change?
Answers
Answer:
The percent change from 150 lbs. to 135 lbs. is a 10% change:
(135-150)/150 x 100
-15/150 x 100
-0.1 x 100
-10% change
10% decrease
Your answer is: 10% change
Which of the following inequalities matches the graph? (1 point)
Answers
Answer:
there were no inequalities to choose from but I believe the answer is y ≤ 4x
Step-by-step explanation:
I will give BRAINLIEST!!! 0.(6) equals what percent. By the way it isnt 60%
Answers
Answer:
lol
Step-by-step explanation:
Help? I need it quick!ty<3
Answers
Answer:
Step-by-step explanation:
(1,3)
I need help wit this
Answers
Answer:
$12.75
Step-by-step explanation:
Do $71.75 - $8.00. Next divide that by 5. Here you should get the "each hour" amount.
Answer: $12.75
Step-by-step explanation:
He paid ^^ per hour - $8.00
Jared and Morgan are making two gazebos in the shape of regular polygons, Jared's gazebo is a heptagon
and has an apothem of 13.6 feet and an area of 623.5 ft and Morgan's gazebo is an octagon has an
apothem of 12.5 feet and an area of 517.8 ft". Which gazebo has the longest side length?
Answers
The gazebo with the longest side length is the heptagon.
What is the side length of the heptagon?
A heptagon is a polygon with 7 sides. It has 7 edges and vertices.
The length of the side of a heptagon = (area of the heptagon x 2) / (number of sides x length of the apothem)
= (623.5 x 2) / (7 x 13.6)
= 1247 / 95.2
= 13.1 feet
What is the side length of the octagon?
A octagon is a polygon with 8 sides. It has 8 edges and vertices. The sum of internal angles in 135 degrees.
The length of the side of a octagon = (area of the octagon x 2) / (number of sides x length of the apothem)
= (517.8 x 2) / (12.5 x 8)
= 1035.6 / 100
= 10.356 feet
To learn more about an octagon, please check: https://brainly.com/question/12080203
Find the product and simplify.
(k+ 4)(-4k – 5)
Answers
find the value of b if the following figures are similar.
Answers
Answer:
7
Step-by-step explanation:
20 - 12 = 8
15 - b = 8
-b = 8 - 15
b = 7 ( -ve signs will become +ve)
b = 15 - 8
b = 7
If the plane intersects the cylinder horizontally, the cross section is
A) a rectangle
B) a line
C) a circle
D) an oval
Answers
Ryan had some candy to give to his five children. He took three pieces for himself and then evenly divided the rest among his children. Each child received two pieces. With how many did he start?
Answers
Answer:
he had 13 peices of candy
Step-by-step explanation:
if he has 3 pieces for himself and 2 for each kid and he has 5 kids then you would just multiply 2 and 5 then add 3
the equation is (2 times 5)+3