Answer:
[tex]\frac{y^2}{36}-\frac{x^2}{196}=1[/tex]
Step-by-step explanation:
From the question we are told that:
Vertices of hyperbola at [tex](0,\pm6)[/tex]
Asymptotes at [tex]Y= \pm 3/7x[/tex]
Generally the expression for Vertices of hyperbola is mathematically given by
[tex](0,\pm a)[/tex]
Therefore
[tex](0,\pm a)=(0,\pm6)[/tex]
Comparing variables
[tex]a=6[/tex]
Generally the expression for Asymptotes of hyperbola is mathematically given by
[tex]y=\pm \frac{a}{b}x[/tex]
Therefore
[tex]\pm \frac{a}{b}x= \pm \frac{3}{7}x[/tex]
Therefore
[tex]\frac{6}{b}= \frac{3}{7}[/tex]
[tex]b=\frac{42}{3}[/tex]
[tex]b=14[/tex]
Generally the equation for Hyperbola of hyperbola is mathematically given by
[tex]\frac{y^2}{a^2}-\frac{x^2}{b^2}=1[/tex]
[tex]\frac{y^2}{6^2}-\frac{x^2}{14^2}=1[/tex]
[tex]\frac{y^2}{36}-\frac{x^2}{196}=1[/tex]
write an absolute value equation that has one solution of 17
Answer:
|x| - 17 = 0
Step-by-step explanation:
need help to pass please
Answer:
x=1
Step-by-step explanation:
a(a+b)=c(c+d)
4(6x+4)=5(3x+5)
24x+16=15x+25
9x=9
x=1
Which is a factor of 45x^4−5x^2? Show work.
a. 5x+2 b. 9x−1 c. 6x+5 d. 3x−1
Answer:
d. 3x - 1.
Step-by-step explanation:
45x^4−5x^2
The GCF is 5x^2 so we have:
5x^2(9x^2 - 1)
The expression in the parentheses is the difference of 2 squares so:
= 5x^2(3x - 1)(3x + 1)
A rectangular portrait is 5 feet wide and 6 feet high. It costs $4.00 per foot to put a gold frame around the portrait. How much will the frame cost?
Answer:
The frame would cost $88
Step-by-step explanation:
The problem is asking for the perimeter basically. The formula to find the perimeter is P = 2l + 2w. So plug in 5 where there is a 'w' and plug in 6 where there is a 'l'.
22= 10+12
Now that you have the perimeter, you'll have to find the cost of the frame. Just multiply 22 by the 4 dollars to get your answer.
hii! please help asap. i’ll give brainliest
Answer:
4
Step-by-step explanation:
The numbers you have are 2, 2, 3, 4, 8, 8, 8
First, cross out 2 on the very left and 8 on the very right.
Then you are left with 2, 3, 4, 8, 8, Then cross out the 2 on the left and the 8 on the right, and you are left with 3, 4, 8. Cross out the 3 and 8, and you are left with the median, 4.
If this helps, make sure to rate it 5 stars and give me brainliest and a thanks!
There are 6 adult chaperones, 21 female students, and 23 male students on a bus for a field trip.
What is the probability that a randomly chosen person on the bus is an adult chaperone or a male student?
Answer:
[tex]\frac{29}{50}[/tex]
Step-by-step explanation:
[tex]\frac{29}{50}[/tex] put into decimal form is 0.58 (aka 58%)
The person above me was correct but didn't have the answer in fraction form.
The probability that a randomly chosen person on the bus is an adult chaperone or a male student is 0.58.
We have the following data -
On a field trip there are 6 adult chaperones, 21 female students, and 23 male students on a bus.
We have to find the probability that a randomly chosen person on the bus is an adult chaperone or a male student.
What is the formula to calculate the probability of an event ?The formula to calculate the probability of an event is -
P(A) = n (A) / n(S)
Where -
n(A) - Number of favorable outcomes.
n(S) - Number of elements in the sample space.
In the question given to us, we have -
n (A) = favorable outcomes = 23 + 6 = 29
n (S) = Elements in the sample space 23 + 21 + 6 = 50
Hence, the probability that a randomly chosen person on the bus is an adult chaperone or a male student is -
P(A) = [tex]\frac{n(A)}{n(S)}[/tex] = [tex]\frac{29}{50}[/tex] = 0.58
Hence, the probability of choosing will be 0.58.
To solve more questions on probability, visit the link below -
brainly.com/question/743546
#SPJ5
Which best explains how to find the volume of a prism?
Find the height of the base and multiply it by the length.
Find the width of the base and multiply it by the height.
Find the area of the base and multiply it by the height.
Find the area of the lateral sides and multiply it by the height of the base.
Answer:
Find the area of the base and multiply it by the height
Step-by-step explanation:
Volume Rectangular Prism = L x W x H
L x W = Area base
So it is Area of base x height
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
How would I solve this?
a²+b²=c²
the pythagorean theorem
basically you would do 7²+5²=c² then solve for c:3
I hope this helped
A hall 130 feet in length was designed as a whispering gallery. If the ceiling is 25 feet high at the center, how far from the center are the foci located?
Answer:
60 feet from the center.
Step-by-step explanation:
As this it was designed as whispering gallery, and we know the whole length of the hall, and the highness of the ceiling we can use the following expression:
c² = a² - b² (1)
Where:
c: Length from center to foci.
a: length of half the hall.
b: length of the ceiling.
Replacing the given data into (1) we have:
c² = (130/2)² - (25)²
c = √65² - 500
c = √3600
c = 60 feetHope this helps
can anyone answer these two questions? please :)
At the beginning of the school year, there
were 1200 students enrolled at Elmwood
Middle School. At the end of the year, there
were 1128 students. Find the percent of
change in enrollment.
Answer: 6% decrease
Step-by-step explanation:
Answer:
6% decrease
Step-by-step explanation:
Given that,
Initial number of students = 1200
At the end of the year there were 1128 students
We need to find the percent of change in enrollment.
Change in enrollment = 1200 - 1128 = 72
The percentage of change is :
[tex]\%=\dfrac{\text{change in students}}{\text{initial students}}\times100\\\\\%=\dfrac{72}{1200}\times 100\\\\=6\%[/tex]
So, there is a decrease of 6% in number of students.
i just found out i got a 361 on my math test and i need a 400 to pass lol
so um can anyone tell me my percentage
did i get a 60 or something
Answer:
361 out of 400 is 90.25%
Step-by-step explanation:
Help with sudoku please!
Answer:
Step-by-step explanation:
Find the surface area of the prism.
A triangular prism. The base triangle is a right triangle with a base of 8 centimeters, slant height of 17 centimeters and height of 15 centimeters. The height of the prism is 7 centimeters.
Answer:
400cm²
Step-by-step explanation:
Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides.
Base & Bottom triangle area: 2 x [(8 x 15)/2] = 120cm²
Side triangle area: 17 x 7 + 8 x 7 + 15 x 7 = 280cm²
Total surface area = 280 + 120 = 400cm²
What triangles can you make out of a rhombus
Answer:
Congruent Triangles: Remember that in a parallelogram, the diagonals split the parallelogram into two pairs of congruent triangles? Well, in a rhombus, the diagonals split the rhombus into four congruent triangles. Yes, that's right, all four of those little triangles are congruent.
Hope it helps ya mate! please give me brainliest!.ت︎ ت︎
NO websites or fake links, inappropriate comments, wired, or not helping comments our your reported and show me your steps to each problem
Answer: 3. 2/3 2. (Just make up a problem with the model). 1. 3/8-2/8= ____(answer)
Step-by-step explanation:
a tutor charges $5 for each class he takes per day that lasts for an hour. for each additional hour he tutors he charges $3. match the number of hours he tutors for in the first column with the money he makes from it.
the hours: 4,2,5,3
Answer:
u need to show the column
A rectangular prism and its net are shown below.
(All lengths are in yards.)
Answer:
C=2 D=2
SA=
Step-by-step explanation:
Surface Area (SA)= 2(wl+hl+hw)
2(2×5+9×5+9×2)
=146 yards
Ariel uses 7/8 of a cup of vinegar in her salad dressing recipe. How much vinegar would Ariel use to make 1/2 of a recipe? show calculation and final answer.
find the ratios and reduce them in their lowest terms.
12cm and 8cm
A bag contains 40 marbles. The probability of selecting a red marble at random is 1/5. How many red marbles are in the bag?
Answer:
8 red marbles.
Step-by-step explanation:
All together we have 40 marbles. The fraction of marbles that are red is 1/5 which means that we should divide the total number of marbles, which is 40 by the denominator ( Bottom number of fraction ) 5 so that we get the number of groups that have 1 red marble in them. In this case we have 8 groups.
40/5=8
You always divide by the denominator ( Bottom number of fraction ) first and then you multiply your answer by the numerator ( Top number of fraction ) .
If each group has 1 red marble in it and we have 8 groups, it means that we have 8 red marbles in the bag.
1 * 8 = 8 red marbles in the bag
If the numerator (number above the fraction line) was more than one, then this would mean that we have more than 1 marble in each group of marbles.
Example:
If we had 3/5 we would have 3 marbles in each group of marbles. This means that instead of doing 1 * 8 we would have to do 3 * 8 = 24. We would have 24 red marbles in the bag.
Easy and quick way if you do not need the explanation:
Another way we could do this is by simply multiplying the fraction ( 1/5 ) by the total number of marbles ( 40 ). This would still give us an answer of 8 red marbles in the bag. 40/5=8, 8*1=8
The campus cafeteria gives a 20% discount to students.If the group's dinner regulary cost $36 , how much would a group of students acutally pay for dinner?
Answer:
If they buy the dinner at $36 with 20% discount, they will pay 28.8 dollars.
I need someone to figure out these two problems please
Answer:
assuming all the cut off squares are exactly one half (because that wasn't specified) 1 is 33 and 2 is 19
Find the area of this circle. Use 3 for .
A = 7r2
18 in
[?] in2
Answer:
Area of a circle = πr^2 if pi here = 3
then (3 × 81) in^2 = 243 in^2
Hope it helps
Answer:
The area of circle is 254.34 in².
Step-by-step explanation:
Given :
[tex]\small\purple\bull[/tex] Diameter of circle = 18 inTo Find :
[tex]\small\purple\bull[/tex] Radius of circle [tex]\small\purple\bull[/tex] Area of circleUsing Formulas :
[tex]\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}[/tex]
[tex]\blue\star[/tex] R = radius [tex]\blue\star[/tex] D = diameter[tex]\star{\small{\underline{\boxed{\sf{\pink{Area_{(Circle)} = \pi{r}^{2} }}}}}}[/tex]
[tex]\blue\star[/tex] π = 3.14 [tex]\blue\star[/tex] r = radiusSolution :
Here we have given that diameter of circle is 18 in. So, finding the radius of circle :
[tex]\implies{\sf{Radius = \dfrac{D}{2}}}[/tex]
[tex]\implies{\sf{Radius = \dfrac{18}{2}}}[/tex]
[tex]\implies{\sf{Radius = \cancel{\dfrac{18}{2}}}}[/tex]
[tex]\implies{\sf{Radius = 9 \: in}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{Radius = 9 \: in}}}}}[/tex]
Hence, the radius of circle is 9 in.
[tex]\rule{200}2[/tex]
Now, we know the radius of circle is 9 in. So, finding the area of circle by substituting the values in the formula :
[tex]\implies{\sf{Area_{(Circle)} = \pi{r}^{2}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9)}^{2}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9 \times 9)}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 3.14\times (81)}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 81}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314 \times 81}{100}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = \dfrac{25434}{100}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 254.34 \: {in}^{2} }}[/tex]
[tex]{\star{\underline{\boxed{\sf{\red{Area_{(Circle)} = 254.34 \: {in}^{2}}}}}}}[/tex]
Hence, the area of circle is 254.34 in².
[tex]\rule{300}{1.5}[/tex]
If sine > 0 and tane < 0 then:
Answer:
its A
Step-by-step explanation:
PLEASE HELP I NEED THIS ASAP
(A)
Step-by-step explanation:
Multiply both sides by (x + 3)(x - 3)
4(x + 3) + 2 = (x- 3)
4x + 12 + 2 = x - 3
3x = - 17
or
x = -17/3
In ΔMNO, the measure of ∠O=90°, MN = 60 feet, and OM = 11 feet. Find the measure of ∠N to the nearest degree.
Answer:
I don't have the right calculator but if you type sin-1(11/60) it'll give you the answer
15. What is the height of a triangular pyramid that has a volume of 512 cubic feet, a base length of 24 feet, and a base height of 8 feet? feet (do not enter label) Round to the nearest TENTH if necessary. please do not send website
Answer:
16 ft
Step-by-step explanation:
height of pyramid = (3×512)/(½×24×8)
= 1536/96
= 16 ft
What was Ahmed's first error? In Step 1, the radius should be found by multiplying the diameter by 2. In Step 2, the formula 2 pi r should be used to find the area of the circle. In Step 3, the resulting area should be in terms of pi. In Step 4, the units of the resulting volume should be Centimeters squared.
Answer:
Step 2
Step-by-step explanation:
To find the area you do pi x r^2.
He did 2 x pi x r which finds the circumference,
01:4
What is the median of this set of data?
1, 2, 5, 6, 9
0
1
5
8
9
Answer:
3.5 if the 901589 a whole number but 5 if it is supposed to be seperated
Step-by-step explanation:
Answer:
3.5 if the 901589 a whole number but 5 if it is supposed to be seperated
Step-by-step explanation: