Answer:
The standard form of the ellipse is [tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex].
Step-by-step explanation:
The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:
[tex](h, k) =\frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2} (x,y)[/tex] (1)
If we know that [tex]V_{1} (x,y) = (4,0)[/tex] and [tex]V_{2}(x,y) = (4, 14)[/tex], then the coordinates of the center are, respectively:
[tex](h,k) = \frac{1}{2}\cdot (4, 0) + \frac{1}{2}\cdot (4,14)[/tex]
[tex](h,k) = (2,0) + (2, 7)[/tex]
[tex](h, k) = (4, 7)[/tex]
The length of each semiaxis is, respectively:
[tex]a = \sqrt{(1 - 4)^{2}+(7-7)^{2}}[/tex]
[tex]a = 3[/tex]
[tex]b = \sqrt{(4-4)^{2}+(0-7)^{2}}[/tex]
[tex]b = 7[/tex]
The standard equation of the ellipse is described by the following formula:
[tex]\frac{(x-h)^{2}}{a^{2}}+ \frac{(y-k)^{2}}{b^{2}} = 1[/tex]
Where:
[tex]h[/tex], [tex]k[/tex] - Coordinates of the center of the ellipse.
[tex]a[/tex], [tex]b[/tex] - Length of the orthogonal semiaxes.
If we know that [tex]h = 4[/tex], [tex]k = 7[/tex], [tex]a = 3[/tex] and [tex]b = 7[/tex], then the standard form of the ellipse is:
[tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex]
Please help me! I will give branliest if it’s correct :)
Answer:
the answer is in the picture
Answer:
[tex]\frac{z^{2} }{25}[/tex]
Step-by-step explanation:
In order to write the expression in the form of [tex]\frac{z^{2} }{k}[/tex] we simply have to open up the brackets. We do that the following way...
[tex](\frac{z}{5} )^{2} =( \frac{z}{5} )( \frac{z}{5}) = \frac{z^{2} }{25}[/tex]
I need help asap. Evaluate Expressions
Answer:
1:
p-r/6=-6-(-6)/6=-6+1=-5
2:
p-(m-n)= -1-(-4-4)=-1-(-8)=-1+8=7
3:
(z+y)/2)3=(-5-4)/3=-9/3=-3
4:
m/6-n=6/6-6=1-6=-5
5:
k³-h=3³-(-2)=27+2=29
6:
p-(p-(m-3))=5-(5-(4-3))=5-(5-1)=5-4=1
7:
(k)(k-j)+3=(5)(5-5)+3=5*0+3=3
8.
p²/6-q=6²/6-4=6-4=2
9;
zx+3³=6*4+3³=24+27=51.
10:
y+z-(y-x)=5+4-(5-2)=9-3=6
Some basic rules:
+. +. +=+
+. * +=+
+. ÷ +=+
+. - +=+
and
+. +. -=add and put sigh of greater one.
-. * +=-sigh
-÷-=+sigh
- - -=add and put - sigh
In a survey conducted at a pet store, 150 customers were asked if they owned
birds or fish. The survey data are shown in the relative frequency table.
What percentage of the people surveyed own fish?
A. 10%
B. 6%
C. 4%
D. 0.1%
Answer: the answer should be 10%
Step-by-step explanation:
Answer:
10% is correct!
Melanie moved to Denver on October 13 and returned home for a visit fourteen months later. When did she return home?
Answer:
She arrived home in December
Step-by-step explanation:
Add 14 months to October
Answer:
she returned home in December just add 14 months to October
No links!!! A student population in a school was 972. Next year they are projected to have a 25% increase in student population. How many students will they have next year?
Answer:
1215
Step-by-step explanation:
If you have a 25% or 1/4 increase, this would mean that you divided the total number of students and add the quotient to the main thing.
So: 972 divided by 1/4 = 972/4 = 243.
972 + 243 = 1215.
Answer:
1215 Students
Step-by-step explanation:
25% is equal to 1/4 correct? (It is :D) So divide 972/4 to know what 25% of the school's population is. 972/4 = 243. So then 243 is 25% of the students. To get the 25% increase add 972 (for the students that will be back next year) and 243 (for the new students). I may have explained this in a really detailed way but it isn't that hard when you think about it!
1. 972/4 (to find 25%)
2. 25% = 243
3. 974 + 243 (old + new)
4. 1215 Students
WILL GIVE U BRAINLIEST!!!
What is an alternate exterior angle to angle 2?
A. 7
B. 6
C. 5
D. 4
Answer:
A. 7
Step-by-step explanation:
Alternate exterior angles are formed when we have two parallel lines that are intercepted by a transversal line in such a way that the exterior angles formed is outside the two parallel lines and they alternate each other along the transversal line.
Thus,
Angle 2 is an exterior angle along the transversal line and alternates angle 7, which is another exterior angle.
Therefore, an alternate exterior angle to angle 2 is angle 7.
Please help me I am super confused I would really appreciate it ♥️♥️
Please help I will give brainliest!!!!!
Answer:
Step-by-step explanation:
[tex]sin^2\theta+cos^2\theta=1~=>sin\theta=\pm\sqrt{1-cos^2\theta}\\\\cos\theta=\frac{\sqrt{2}}{2}[/tex]
we'll took the negative solucion of sin because sin is negative in IV cuadrant
[tex]sin\theta=-\sqrt{1-(\frac{\sqrt{2}}{2})^2}=-\frac{1}{\sqrt{2}}=-\frac{\sqrt{2}}{2}[/tex]
[tex]tan\theta=\frac{\sin\theta}{\cos\theta}[/tex] => [tex]tan\theta=-1[/tex]
so, the right option is the last one
At a carnival entrance, tickets are assigned seven-digit numbers using the digits 0-5. If one ticket number is chosen randomly for a prize, what is the probability that every number on the ticket is even
Answer:
"0.0041" is the right answer.
Step-by-step explanation:
According to the question,
The total possible number of tickets will be:
= [tex]6^5[/tex]
= [tex]7776[/tex]
here,
The total even numbers are:
= [tex]2[/tex]
i.e., (2, 4)
now,
With even numbers, the total number of tickets are:
= [tex]2^5[/tex]
= [tex]32[/tex]
hence,
The probability will be:
= [tex]\frac{32}{7776}[/tex]
= [tex]0.0041[/tex]
The probability is the ratio of the favorable event to the total number of events. Then the probability is 0.0041.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. I
At a carnival entrance, tickets are assigned seven-digit numbers using the digits 0-5.
If one ticket number is chosen randomly for a prize.
Then the probability that every number on the ticket is even will be
The total possible number of tickets will be
⇒ 6⁵ = 7776
The total even numbers will be
⇒ 2 {2, 4}
With even numbers, the total number of tickets will be
⇒ 2⁵ = 32
Then the probability will be
[tex]\rm P = \dfrac{32}{7776}\\\\P= 0.0041[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
Find f(3) please. I need help. Thank you
Answer:
f(3) = -4
Step-by-step explanation:
3 is between 2 and 5 so we use the second piece of the function
f(3) = -4
Answer: f = 0
Step-by-step explanation:
f(3) = 0
f•(3) = 0
3f = 0
f = 0
A man bought a house for 3600 Naira he repairs the house with 150 Naira if he sold the house for 4950 Naira . Find his percentage profit
Step-by-step explanation:
profit%=
[tex] \frac{selling \: price - cost \: price}{cost \: price} \times 100\%[/tex]
[tex] \frac{4950 \: naira - 3600 \: naira + 150 \: naira}{3750 \: naira} \times 100\%[/tex]
[tex] \frac{4950 - 3750}{3750} \times 100\%[/tex]
[tex] \frac{1200}{3750} \times 100\%[/tex]
=36%
what's the answer for this question
Answer:
B(3/4*1/2)
Step-by-step explanation:
So lets see, we have:
3/4 divded by 2
Any whole number, such as 2, will have a denominator like this:
2/1
So we can rewrite this as:
3/4 divided by 2/1
Now, we can actually rewrite this division as multipication. To do this, you must flip the dividing fraction, which was 2/1.
So now it is 1.2:
3/4*1/2
Looking at the anwers, this should be the seocnd one down.
Hope this helps!
Plz help me well mark brainliest if correct
all of the above which is e
What is the next term in the geometric sequence below?
3, -6, 12, -24, _, ...
A. 48
B. -48
C. -36
D. 36
Answer:
a. 48
Step-by-step explanation:
first of all find the num that can divide through equally
for ex. 3 x -2 = -6
-6×-2=12
12×-2=-24
-24×-2=48
therefore the num divisible is -2
A fair coin is flipped three times. Events A and B are defined as: A: there are at least two consecutive heads somewhere in the sequence B: at least one flip comes up tails What is p(A | B)?
Answer:
2 / 7
Step-by-step explanation:
Coin flipped 3 times has following outcomes, of heads 'H' & Tails 'T'
HHH , TTT , HTT, THT , TTH , THH , HTH , HHT = total outcomes
P (A) = 2 consecutive heads , P (B) = atleast one tail
P (A) = 2 outcomes ( HHH , HHT , THH ) / total 8 outcomes = 3 / 8
P (B) = 7 outcomes (all except HHH) / total 8 outcomes = 7 / 8
P (A | B) = P ( A ∩ B ) / P (B)
P ( A ∩ B ) = P ( 2 consecutive heads & atleast one tail) / Total outcomes = 2 outcomes ( HHT , THH ) / total 8 outcomes = 2 / 8
So, P (A | B) = ( 2 / 8 ) / ( 7 / 8 ) = 2 / 7
Can someone give me the answer to this plz
Answer:
X>Dy+c
Step-by-step explanation:
I did this question before
Which point is the image of point R(4, -7) first reflected across the x-axis and then across the y-axis?
Answer:
(-4, 7)
Step-by-step explanation:
It would be the exact opposite of point R because it was rotated about 180 degrees from it's original location
someone tell me 1+1= 11 and not 2 - -
WILL GIVE U BRAINLIEST
What is the value of X by CPCTC?
A. 11
B. 8
C. 3
D. 7
E. Not enough info
The value of x by CPCTC is 3.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We need to find the value of x.
CPCT theorem states that if two or more triangles which are congruent to each other are taken then the corresponding angles and the sides of the triangles are also congruent to each other.
The side x is congruent to the quadrilateral having length 3.
the value of x is 3
Hence, the value of x by CPCTC is 3.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ1
what are adjacent angles
Answer:
Two angles having the same vertex and having a common side between them.
Meh need help, Im so confued
Answer:
3/6=4/8
Step-by-step explanation:
2/6=3/8
2*4 6*4=8/24
3*3 8*3=9/24
2/6 does not equal 3/8
3/6=4/8
3*4 6*4= 12/24
4*3 8*3=12/24
3/6=4/8 is true
please help me i’m like so over this.
Find the integration of (1-cos2x)/(1+cos2x)
Given:
The expression is:
[tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex]
To find:
The integration of the given expression.
Solution:
We need to find the integration of [tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex].
Let us consider,
[tex]I=\int \dfrac{1-\cos 2x}{1+\cos 2x}dx[/tex]
[tex]I=\int \dfrac{2\sin^2x}{2\cos^2x}dx[/tex] [tex][\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x][/tex]
[tex]I=\int \dfrac{\sin^2x}{\cos^2x}dx[/tex]
[tex]I=\int \tan^2xdx[/tex] [tex]\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right][/tex]
It can be written as:
[tex]I=\int (\sec^2x-1)dx[/tex] [tex][\because 1+\tan^2 \theta =\sec^2 \theta][/tex]
[tex]I=\int \sec^2xdx-\int 1dx[/tex]
[tex]I=\tan x-x+C[/tex]
Therefore, the integration of [tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex] is [tex]I=\tan x-x+C[/tex].
-7= y/7? Solve the Equation.
y = -49
multiply 7 on both sides
-7*7 = y/7*7
-49 = y
Answer:
y = -49
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-7 = y/7
Step 2: Solve for y
[Multiplication Property of Equality] Multiply 7 on both sides: -49 = yRewrite: y = -49a bookstore sells 9 books for $90. Which table represents the relationship between number of books and the total price?
Answer:
Step-by-step explanation:
Answer:
Table B
first find cost of 1 book
cost of 1 book=$90/9
=$10
now cost cost of 10 books
cost of 11 books=$10*10
=$100
cost of 11 book =$10*11
=$110
Step-by-step explanation:
since the cost of 10 and 11 books match in table B ,it is the correct answer
PLEASE HELP
Find the measure of angle.
Answer:
39
Step-by-step explanation:
180-73-68
I’m kinda stuck on this question, can y’all please help me?
Points J, K and M form a triangle.
In this triangle you are given the angles for JKM (50) and KJM (60)
The 3 inside angles of a triangle need to equal 180.
The third angle JMK would be 180 minus the two given angles:
JMK = 180 - 50 - 60 = 70
JMK = 70 degrees
Which matrix equation can be used to solve the system?
(2x+ 5y = 15
X + 3y = 18
THE CORRECT OPTION IS A where the input data is correct
Answer:
option 3
Step-by-step explanation:
[tex]AX = B\\X = A^{-1}B\\\\A = \left[\begin{array}{CC}\\2&5\\1&3\end{array}\right]\\\\\\B =\left[\begin{array}{C}\\15&18\end{array}\right]\\\\\\X =\left[\begin{array}{C}\\x&y\end{array}\right][/tex]
[tex]det A = 1\\\\adj A = \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right][/tex]
[tex]A^{-1} = \frac{1}{det A} \times Adj A[/tex]
[tex]= 1 \times \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right]\\\\\\= \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right][/tex]
Therefore,
[tex]X = A^{-1}B\\\\\\\left[\begin{array}{C}\\x&y\end{array}\right] = \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right]\left[\begin{array}{C}\\15&18\end{array}\right]\\\\\\[/tex]
pls help ASAP!! person who gives correct answer will be marked brainliest
Answer:
w+76=180(being supplementary angle)
w=180-76
w=104
(Please answer) Octavia is going to buy milkshakes for her friends. Small milkshakes cost $2.50 and large milkshakes cost $6.00. She needs to buy at least 20 milkshakes and she can spend no more than $90. How many small milkshakes Octavia should buy to serve her friends but stay on budget?
Octavia should buy less than 8 milkshakes.
Octavia should buy at least 8 small milkshakes.
Octavia should buy less than 12 milkshakes.
Octavia should buy at least 12 small milkshakes.
Answer:
Step-by-step explanation:
In this scenario, Octavia should buy at least 12 small milkshakes. At $2.50 each small milkshake, buying 12 would be a total of $30. Since she needs to buy atleast 20 total milkshakes, she would need to buy 8 large milkshakes which at $6 each would cost her a total of $48. Together this would sum up to be $78 for the 20 milkshakes which would mean that Octavia is still under her budget.