Answers
Problem 1
Answer: Choice D--------------
Explanation:
The vertices are (-12,0) and (12,0). Both of which are on the same horizontal line. Because of this, we have a hyperbola that opens leftward and rightward. Such hyperbolas are of the form
[tex]\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1[/tex]
where (h,k) is the center and the a,b terms help set up the asymptotes.
The midpoint of the vertices (-12,0) and (12,0) is the point (0,0). This is the center. So we know that h = 0 and k = 0.
For left/right opening hyperbolas, the asymptotes can be described as the equations:
y = (b/a)x
y = (-b/a)x
Or we can condense them into [tex]y = \pm \frac{b}{a}x[/tex]. Compare this to the given equation [tex]y = \pm\frac{5}{12}x[/tex] to see that b = 5 and a = 12.
Therefore, we get the following:
[tex]\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\\\\\frac{(x-0)^2}{12^2}-\frac{(y-0)^2}{5^2}=1\\\\\frac{x^2}{144}-\frac{y^2}{25}=1[/tex]
That points us to choice D.
You chose the correct answer.
=============================================================
Problem 2
Answer: Choice A--------------
Explanation:
Divide both sides by 3600 so we can turn that "3600" into "1". Then our goal is to get that "1" to its own side like so:
[tex]25x^2-144y^2 + 3600 = 0\\\\\frac{25x^2-144y^2 + 3600}{3600} = \frac{0}{3600}\\\\\frac{25x^2}{3600}-\frac{144y^2}{3600} + \frac{3600}{3600} = 0\\\\\frac{x^2}{144}-\frac{y^2}{25} + 1 = 0\\\\\frac{x^2}{144}-\frac{y^2}{25} = -1\\\\-\frac{x^2}{144}+\frac{y^2}{25} = 1\\\\-\frac{x^2}{12^2}+\frac{y^2}{5^2} = 1\\\\[/tex]
We see that a = 12 and b = 5 like earlier, so we end up with the same asymptotes as before. The only difference is that this hyperbola opens upward/downward rather than left/right.
You made the correct choice in picking answer A. Both of your answers are correct. Nice work.
Related Questions
Which best describes the solution(s) to the equation 5x - 6 - x - 2x + 2?
There is one solution at x =
1
4
O There is one solution at x = 4.
O There is no solution.
There are infinitely many solutions.
Answers
The equation had only one solution and the solution to the given equation is 1
Equations are expressions separated by an equality sign
Given the equation expressed as;
5x - 6 = -x - 2x + 2
Collect the like terms:
5x + x + 2x = 2 + 6
Simplifying the result;
8x =8
Divide both sides of the equation by 8 to have:
8x/8 = 8/8
x = 1
Hence the solution to the given equation is 1
learn more about equation here: https://brainly.com/question/25678139
Pls help me its a little confusing
Answers
Answer:
the measure of x is 38
Step-by-step explanation:
180-134=46 the value of one side of a line is 180 degrees so to find the vaule of the inside angle we have to subtract 180 by the outside angle's
180-84=96
46+96=142 we then add the value's of both inside angles
180-142= 38
then we subtract that number by 180 because the total of all three angles of any triangle is always 180
Answer:
x = 38°
Step-by-step explanation:
Maths problem always go back to a number of foundational rules;
Once you recognise the ones that are relevant, you can then apply them to find the value or solution you want to find;
First thing is to look at the question and information provided in order to identify the relevant rules;
This question is asking for an angle and we can see a triangle (not a right-angle triangle) and line beneath it;
What rules should we think of with this in mind?
The following;
Angles in any triangle always add to 180°Angles on a straight line add to 180°Using these rules, we can find x;
Firstly, according to rule 2, we can find angle OLM:
134 + OLM = 180
OLM = 180 - 134
OLM = 46
Secondly, also according to rule 2, we can find angle OML:
84 + OML = 180
OML = 180 - 84
OML = 96
Lastly, according to rule 1, we can find angle x:
OLM + OML + x = 180
46 + 96 + x = 180
x = 180 - 96 - 46
x = 38
In Ms. Rivera’s desk, there are 14 yellow markers. There are 8 more pink markers than yellow markers, and 6 more blue than pink. How many markers does Mrs. Rivera have in her desk?
Answers
Answer:
64
Step-by-step explanation:
since ms. rivera has 8 more pink markers than yellow markers you would add 8 and get 22, so she has 22 pink markers and 14 yellow. for the blue markers it says she has 6 more blue markets than pink so you would add 6 to the 22 pink markers and get 28.
So ms. rivera has 14 yellow, 22 pink, 28 blue
add them all together and you get 64.
The total number of markers Mrs. Rivera have in her desk is 64.
Given that, Ms. Rivera’s desk, there are 14 yellow markers.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the total number of markers be x.
There are 8 more pink markers than yellow markers
So, number of pink markers = 14+8
= 22
There are 6 more blue markers than pink markers
So, number of blue markers = 22+6
= 28
Here, x= Number of yellow markers + Number of pink markers + Number of blue markers
= 14+22+28
= 64
Therefore, the total number of markers Mrs. Rivera have in her desk is 64.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Suppose in the year 2000 the population of a country is 20 million. In the year 2010 the
population is now 24 million. If the growth of the population is exponential, approximate what the population would be in the year 2021.
Answers
Answer:
Grows by 2.4 million each year
Step-by-step explanation:
Cube A has an edge length of 3 inches. Cube B has an edge length double that of Cube A.
What is the volume, in cubic inches, of Cube B?
A. 27in^3
B. 36in^3
C. 216in^3
D. 729in^3
Answers
Answer:
216
Step-by-step explanation:
Cube A volume
3*3*3=27
Cube B volume
6*6*6=216
Edge length of cube B=2(3)=6in
Volume:-
[tex]\\ \sf\longmapsto V=(6)^3[/tex]
[tex]\\ \sf\longmapsto V=6(6)(6)[/tex]
[tex]\\ \sf\longmapsto V=216in^3[/tex]
What's does A equal?
Answers
Answer:
x = 65
Step-by-step explanation:
2x + 2(2x-15) = 360
2x + 4x - 30 = 360
6x = 390
x = 65
The sum of 8 and a number is 9
Answers
Answer:
The sum of 8 and 1 is 9.
lol
Step-by-step explanation:
A crew of highway workers paved 1/5 mile in 1/8
hour. If they work at the same rate, how much
will they pave in one hour?
Answers
Answer: 2/5 Step-by-step explanation: The easiest approach is to realize that one hour is 3 times longer than 20 minutes. The longer the time, the more they will pave.
A circle with radius of 9 cm sits inside iſ circle with radius of 11 cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth
Answers
Answer:
Step-by-step explanation:
it is two left night
This is my question I need the answer to
Answers
Ok done. Thank to me :>
ST
16. (26)
A bag contains 3 green marbles and
7 yellow marbles. Find the probability of
drawing a green marble, keeping it, and
drawing another green marble. Write the
probability as a fraction in simplest form.
17.
Answers
Answer:
the probability would be 30% but as a fraction it would be 3/10
Step-by-step explanation:
Answer:
7/15
Step-by-step explanation:
The probability of the first one is 7/10 and the second one is 6/9. Multiply them together and you get 42/90, which simplifies to 7/15.
108 is what percent of 72
Answers
108/72 x 100% = 150%
1. 2h−3(3−h)+ _=5h−8
Make equation have infinite solution
2. −k+_(k+1)=2k
make equation have no solution
Answers
Answer:
HOPE THAT HELPS BUT I DO NOT HAVE ANSWER
Step-by-step explanation:
3×2k=????
3×5=??
6×k=??
6×4=??
then put all those together in a 2 step equation and then add 9 to the answer
If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions. If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no solutions.
Does favorite food depend on your gender? A survey asks a group of college students about their favorite foods. It also groups the students by their gender. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 5% significance level is performed.
Sushi Pizza Hamburgers Row Total
Men 19 16 21 56
Women 19 11 13 43
Column Total 38 27 34 99
The null and alternative hypotheses are:
H0: The two variables are independent, so gender does not affect favorite food.
Ha: The two variables are dependent, so gender does affect favorite food.
Compute the test statistic, rounded to one decimal place.
Answers
Answer:
Yes, it does
Step-by-step explanation:
More Men like the Pizza and Hambugers more than the girls. Both like shushi Equaly but 2 beats 1 am a right.
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
Answers
Answer:
angle BEC is congruent to angle FEG (vertical opposite angles)
other than that, I'm not sure if the other angles are congruent bc of their marks.
Step-by-step explanation:
Need help please ……………………………..
Answers
Answer:
[tex]-2^{-2} = \frac{1}{-2^{2} } = \frac{1}{4} = 0.25[/tex]
[tex]-2^{-1} = \frac{1}{-2 } = -0.5[/tex]
[tex]-2^{0} = 1[/tex]
[tex]-2^{1} = -2[/tex]
[tex]-2^{2} = 4[/tex]
Step-by-step explanation:
the perimeter of a regular Pentagon is 100m how long is each side
Answers
Answer:
20 cm is the answer.
20
Step-by-step explanation:
the parameter of any shape is the sum of all sides and since the pentagon has 5 sides we just have to divide the parameter by 5
100÷5=20
Seven values on the number line above are marked with letters. Which letters represent integers?
Answers
QUESTION 16 PLEASE HELP ME ASAPP
Answers
Answer: changes over time
Step-by-step explanation: it is always decreasing
What is the equation of the line passing through the point (2, 3) and perpendicular to the line y=2x+7?
Answers
Answer:
[tex] -\frac{1}{2}x + 4[/tex]
❗NEED HELP ASAP PLEASE ❗
The value of -3 xy, for x= 2 and y= 3, is -18.
True False
Please give an explanation, thank you!!!
Answers
Answer:
True
Step-by-step explanation:
-3 xy = -18
-3(2)(3) = -18
The sum of 21 and n is equal to 43.23
please help me!!!
I’ll give out 30 points!!!
Answers
Process to find n
21+n=43.23
Subtract 21 from both sides
n=22.23
Answer:
n=22.23
Step-by-step explanation:
21+n=43.23
-21 to both sides
0+n=22.23
n=22.23
rewrite in simplest terms -6(-7u+6)+2u
Answers
Answer:
44u-36
Step-by-step explanation:
42u-36+2u
44u-36
#6) Find the value of x. Be sure to show your work.
Answers
My work below in the picture
A tiled floor measures 1 ⅔ by 2 ⅔ feet. What is the area of the floor?
Answers
let's firstly convert the mixed fractions to improper fractions and then multiply.
[tex]\stackrel{mixed}{1\frac{2}{3}}\implies \cfrac{1\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{5}{3}}~\hfill \stackrel{mixed}{2\frac{2}{3}}\implies \cfrac{2\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{8}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{3}\cdot \cfrac{8}{3}\implies \cfrac{40}{9}\implies 4\frac{4}{9}[/tex]
Choose the symbol that correctly compares the fractions below.
Answers
Answer:
[tex] \frac{2}{5} > \frac{1}{6} [/tex]
Answer: B. >
#CarryOnLearning
16 #5) Describe the error in finding the value of x.
Answers
Solve for x; x: 6 = 54: 162 A. 1 B. 2 C. 3 D. 4
find x
Answers
Answer:
x = 2
Step-by-step explanation:
x:6 = 54:162
What is 54 to 162?
162/54 = 3.
So x times 3 should equal 6.
6/3 = 2.
x = 2
Let's confirm,
2:6 = 54:162
:)
Answer:
8 - 10
8 + 10
Step-by-step explanation:
edmentum/plato
PLEASE HELP ME:))
what’s the value of x?
Answers
\[tex]\angle B +\angle C + x = 180^{\circ}\\\\\implies x = 180^{\circ} -\angle B -\angle C\\\\\implies x = 180^{\circ} - 75^{\circ} - 50^{\circ}\\\\\implies x = 55^{\circ}[/tex]
[tex] \frac{8}{20} < > = \frac{7}{13} [/tex]
Compare these factions
Answers
Answer:
<
Step-by-step explanation:
Good Question!
8/20=4/10=2/5=0.4
7/13= lcm of 5 and 13 is 75.
26/75 [<] 35/75
:)
Answer: < less than
Step-by-step explanation:
1. Find LCM of 20 and 13.
20: 20,40,60,80,100,120,140,160,180,200,220,240,260,280
13: 13, 26, 39, 52, 65, 78, 91, 104, 107, 110 ...... 234, 247, 260
The LCM is 260.
2. 20*13 = 260 13*20=260
therefore we need to multiply the numerator by those 13 and 20.
8*13 = 104 7*20 = 140
3. compare Fractions:
(104/260) < (140/260)