Please help ASAP
What are the equations of the asymptotes of the hyperbola?
(y-1)^2/9-(x-2)^2/100=1
Answers
y-1= ±3/10(x-2)
Im not sure how to get this answer but my teacher gave it to me so i hope this helps!
The equation of the asymptote of the given hyperbola is; y - 1 = ±(3/10)(x - 2)
We are given the equation of the hyperbola as;
[(y - 1)²/9] - [(x - 2)²/100] = 1
We can rewrite this equation as;
[(y - 1)²/3²] - [(x - 2)²/10²] = 1
The general equation form of hyperbola is;
[(y - k)²/a²] - [(x - h)²/b²] = 1
Comparing this general form to our given equation we can see that;
k = 1
h = 2
a = 3
b = 10
Now the equation of the asymptote of a hyperbola follows the general formula;
y = ±[a(x - h)/b] + k
Plugging in the relevant values gives us;
y = ±(3/10)(x - 2) + 1
y - 1 = ±(3/10)(x - 2)
Read more about hyperbola asymptotes at;https://brainly.com/question/12919612
Related Questions
Calculate the amount of simple interest earned
$1,000 at 4% for 4 years
Answers
Answer:
$160
Step-by-step explanation:
A = $1,160.00
I = A - P = $160.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Solving our equation:
A = 1000(1 + (0.04 × 4)) = 1160
A = $1,160.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,000.00 at a rate of 4% per year for 4 years is $1,160.00.
6. Slope =
Y-Intercept
Equation in slope-intercept form:
Answers
Y intercept = 1
Equation: 0.5x +1
At the Fast-Pack It shipping, the employees can unload 25 trucks in 5 hours. Which of the following is a correct unit rate for this situation? (4 points)
5 hours per truck
1 truck per hour
1 over 5. of a truck per hour
1 over 5. of an hour per truck
Answers
Answer:
five trucks per hour
Step-by-step explanation:
Write a multiplication equation and a division equation that this diagram could represent.
A tape diagram of three equal parts. Each part is labeled "eighteen". A brace from the beginning of the diagram to the end of the disgram is labeled "54".
Group of answer choices
3 • 18 = 54 and 54 ÷ 18 = 3
54 • 3 = 18 and 18 ÷ 3 = 54
c
3 • 18 = 54 and 54 ÷ 18 = 3
3 • 18 = 54 and 18 ÷ 54 = 3
Answers
Answer:
[tex]3 * 18= 54[/tex] and [tex]54/18 = 3[/tex]
Step-by-step explanation:
Given
[tex]Sections = 3[/tex]
[tex]Measurement=18[/tex] per section
[tex]Total\ Measurement=54[/tex]
Required
Model the scenario
The model of this scenario is:
[tex]Sections * Measurement = Total\ Measurements[/tex]
This gives:
[tex]3 * 18 = 54[/tex] -- This represents the multiplication model
Divide both sides by 18
[tex]3 * 18/18 = 54/18[/tex]
[tex]3 * 1 = 54/18[/tex]
[tex]3 = 54/18[/tex]
Reorder
[tex]54/18 = 3[/tex] -- This represents the division model
Answer:
121*5677*66766.546646
5
Step-by-step explanation:
What is 6/7 divided by 2/7
Answers
Answer:
3
Step-by-step explanation:
6/7 divided by 2/7
=
6/7 divide 7/2 (cancel out 7)
=
6 multiply 1/2 (reduce)
=
3
Given the graph that is shown. What is the range of the function?
Answers
Answer:
B
Step-by-step explanation:
Range is Y and the point is -4 to 2
Solve the inequality
Answers
Answer:
x<2
Step-by-step explanation:
5x+10>14x-8
18>9x
2>x
translate this sentence to an equation
38 is the product of Malik's score and 2. Use the variable m to represent Malik's score.
Answers
Answer:
Step-by-step explanation:
m * 2 = 38
Equation: 2m = 38
Solution:
2m = 38
m = 38/2
m = 19
Malik's score = 19
Answer:
Given :-38 is the product of Malik's score and 2. Use the variable m to represent Malik's score
To Find :-Marks scored by Malik
Solution :-The equation will be
[tex] \frak{2m = 38}[/tex]
Total marks
[tex] \tt \: m \: = \dfrac{38}{2} [/tex]
[tex] \tt \: m \: = 19[/tex]
The marks scored by Malik is 19
Does anyone know the answer to this question
Answers
The weight of one ticket is approximately 1.67 × 10-4 g. Write the numerical value without scientific notation.
Answers
Answer:
0.000167 g
Step-by-step explanation:
[tex]1.67 \times {10}^{ - 4} \: g\\ \\ = 0.000167 \: g[/tex]
A boy weighs x pounds. His younger sister weighs 53 pounds less than him. His father weighs four times as much as his sister. A simplified expression that represents the fathers weight (in pounds) is (blank -blank)
Answers
Answer:
4x-53
Step-by-step explanation:
Boy=x
sis = x-53
father = 4x-53
if a dinosaur has a mass of 55g, what is his density
Answers
Answer:
32ounces I think
Step-by-step explanation:
3. If Ted is making monthly payments of $77 on a loan of $4,000 for 5 years;
approximately what percent interest is he paying?
$
Answers
hope this helps
The percent of interest is he paying is,
⇒ R = 4.62%
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
We have to given that;
Ted is making monthly payments of $77 on a loan of $4,000 for 5 years.
Hence, Yearly payments to pay is,
⇒ 12 × 77
⇒ $924
Hence, We get;
⇒ Interest = PRT/ 100
⇒ 924 = 4000 × R × 5 / 100
⇒ 92400 / 20,000 = R
⇒ R = 4.62%
Thus, The percent of interest is he paying is,
⇒ R = 4.62%
Learn more about the percent visit:
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Find the exact value of cos(a-b) given sin(a)=-4/5 and cos(b)=-5/8 for a in Quadrant III and B in Quadrant II.
See picture for answer choices.
Answers
Answer: B
Step-by-step explanation:
Helpp me please find the angle (where the question mark is ) 10 pointsss
Answers
Answer:
#9= 100 degrees but I'm not sure about #10.
Step-by-step explanation:
We know that a triangle has a total of 180 degrees.
So we add 16, 34, and 30
16+34+30=80
Then we subtract the amount from the total degrees of a triangle.
180-80
= 100 degrees
I hope this helps:)
Find the ratio of 2p per gram to £2.12 per kilogram
Answers
Answer:
the answer is 1.06
Step-by-step explanation:
how many minutes is 40% of 120 minutes?
Answers
Answer:
48 mins
Step-by-step explanation:
40 x 120 /100
= 48
Laura can finish payroll in 3
hours. It takes Ben 5 hours
to do the same job. If they
work together, how long
should it take them?
hours
Answers
Answer:
1/2
Step-by-step explanation:
First we divide 3 and 5, which gives us 0.6, then we use the LA Hypothalamus formula which is x2, so then we substitute the x with 0.6, 0.6 multiplied by 2 is 1.2, so then we transform it to a fraction, your welcome
Answer:
15/8
Step-by-step explanation:
quiz 4-1 : classifying and solving for sides/angles in triangles gina wilson (all things algebra) URGENT
Answers
Answer:
14.
[tex]x = 11[/tex] [tex]m<B = 108[/tex] [tex]m<C= 36[/tex] [tex]m<D = 36[/tex]
15.
[tex]x = 4[/tex] [tex]WX = 25[/tex] [tex]XY = 17[/tex] [tex]WY = 25[/tex]
Step-by-step explanation:
Solving (14):
[tex]BC = BD[/tex]
[tex]m<B = 13x - 35[/tex]
[tex]m<C = 5x - 19[/tex]
[tex]m<D = 2x + 14[/tex]
First, we solve for x.
Since sides [tex]BC = BD[/tex], then
[tex]m<C = m<D[/tex]
This is so because the theorem of ASA (Angle-Side-Angle)
So, we have:
[tex]5x - 19 = 2x + 14[/tex]
Collect Like Terms
[tex]5x - 2x = 19 + 14[/tex]
[tex]3x = 33[/tex]
Divide both sides by 3
[tex]x = 11[/tex]
Solving for m<B, m<C and m<D.
We simply substitute 11 for x in their respective expressions.
[tex]m<B = 13x - 35[/tex]
[tex]m<B = 13*11 - 35[/tex]
[tex]m<B = 143 - 35[/tex]
[tex]m<B = 108[/tex]
[tex]m<C = 5x - 19[/tex]
[tex]m<C= 5*11 - 19[/tex]
[tex]m<C= 55 - 19[/tex]
[tex]m<C= 36[/tex]
[tex]m<D = 2x + 14[/tex]
[tex]m<D = 2*11 + 14[/tex]
[tex]m<D = 22 + 14[/tex]
[tex]m<D = 36[/tex]
Solving (15):
[tex]<X = <Y[/tex]
[tex]WX = 9x - 11[/tex]
[tex]XY = 4x + 1[/tex]
[tex]WY = 7x - 3[/tex]
First, we solve for x.
Since [tex]<X = <Y[/tex], then
[tex]WX = WY[/tex]
This is so because the theorem of SAS (Side-Angle-Side)
So, we have:
[tex]9x - 11 = 7x - 3[/tex]
Collect Like Terms
[tex]9x - 7x = 11-3[/tex]
[tex]2x = 8[/tex]
Divide both sides by 2
[tex]x = 4[/tex]
Solving for WX, WY and XY
We simply substitute 4 for x in their respective expressions.
[tex]WX = 9x - 11[/tex]
[tex]WX = 9 * 4 - 11[/tex]
[tex]WX = 36 - 11[/tex]
[tex]WX = 25[/tex]
[tex]XY = 4x + 1[/tex]
[tex]XY = 4 * 4 + 1[/tex]
[tex]XY = 16 + 1[/tex]
[tex]XY = 17[/tex]
[tex]WY = 7x - 3[/tex]
[tex]WY = 7 * 4 - 3[/tex]
[tex]WY = 28 - 3[/tex]
[tex]WY = 25[/tex]
Simplify the following expression: -4(k - 7)
Answers
Answer:
-4k+28
Step-by-step explanation:
Answer:
-4k+28
Step-by-step explanation:
multiply -4k inside the parentheses
-4k x k
-4 x 7
= -4k+28
getting bored.Is there anyone???
Answers
Answer:
yes very much so
Step-by-step explanation:
yes I don't know why but I am really and truly
Answer:
WOW yRRRRRR
Step-by-step explanation:
6 Bridesmaids want to make 330 decorations for a wedding. Each
decoration takes about 2 4 minutes to make. How many hours will it take
for each person to make all the decorations?
Answers
Answer:
about 3.21 hours each
Step-by-step explanation:
First divide 330 by 6 since there are six people.
Every person needs to do 55 decorations.
I would take the average of 2-4 minutes and multiply it by 55.
55 x 3.5 = 192.5 minutes
to convert to hours divide by 60.
192.5 / 60 = 3.21
Identify the slope from the table
NEED HELP PLEASE thank you sb
Answers
Answer:
-4
Step-by-step explanation:
‘X’ adds by one while ‘y’ adds by -4
Carly has already jarred 19 liters of jam and will jar an additional 7 liters of jam every day.
How much jam did Carly jar if she spent 6 days making jam? Write and solve an equation to
find the answer.
Answers
Answer:
61
Step-by-step explanation:
7×6 = 42
42+ 19 = 61 Sorry if I'm wrong I tried
A bakery is making apple pies and carrot cakes. Each
apple pie nets $5 profit. For each carrot cake, they
make $10 profit. Each pie take 4 hours to prepare and
1.5 hours to bake. The carrot cakes take 0.5 hours to
prepare and 0.5 hours to bake. The maximum
preparation time is 20 hours. The maximum baking
time is 10 hours. How many pies and cakes should be
made to maximize profits?
Answers
Answer:
8 thats how many pies and cakes you can do
Step-by-step explanation:
you have 20 minutes and 10 and the most cakes you can get with left over is 8
The pies and cakes should be made to maximize profits is 8 pies.
What is profit?Profit is defined as the sum of revenue and income after all costs have been deducted by a business. A function with a business-oriented focus is called a profit function. The main goal of a business is to generate income through the sale of goods and services, minus the costs associated with producing those goods and services, in order to turn a profit.
Revenue minus costs equals profit.
Costs comprise both variable costs and fixed costs, whereas revenue is the total amount of positive cash flow that a business generates.
The maximum number of cakes you can get with leftovers in 20 minutes and 10 is 8.
Thus, the pies and cakes should be made to maximize profits is 8 pies.
To learn more about profit, refer to the link below:
https://brainly.com/question/15036999
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write a word problem for 8x - 5 = 40
Answers
Answer:
Bob only has 40 dollars but he wants to buy a membership at the gym. It cost 8 dollars per month to receive a gym card. Bob went to the Gym in person so they gave him a 5 dollar off coupon. How many months can Bob buy?
Step-by-step explanation:
Answer:
eight and a variable subtracted by five equals forty
Step-by-step explanation:
5⋅7⋅4=5⋅4⋅7
is that
associative property of multiplication or is it
commutative property of multiplication
Answers
Answer:
Commutative property of multiplication is shown above. This is because no matter how you put them, the answer will still be 140
HOPE THIS HELPS TOUCH THANK FOR ME PLEASETrue or False:
If you have an odd number of negative factors your answer will be negative. *
<3
Answers
Answer:
It's true,
I'm sure about it
what is the slope of the line shown in graph
A. -2
B. -1
C. 1/-2
D. 1/2
Answers
Answer:
-1/2
Step-by-step explanation:
using rise over run its 1/-2 which is just -1/2
Find the slope between the following points (2,5) and (-3,-9)
Answers
Answer: 14/5
Step-by-step explanation: Use Algebra calculator on math papá.com
Answer:
[tex]m=\frac{14}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (2, 5)
Point (-3, -9)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{-9-5}{-3-2}[/tex]Subtract: [tex]m=\frac{-14}{-5}[/tex]Simplify: [tex]m=\frac{14}{5}[/tex]