the answer to your question
is the letter C
Let's explore the equation to see why the graph of the formula that is given sounds like:
((x−5)²/(4)²) + (y²/(7)²) = 1
This equation represents the standard form of an ellipse:
((x−h)²/a²) + ((y-k)²/(b)²) = 1
Where:
*The ellipse's center is (h,k).
*The semi-major axis's length, or horizontal radius, is denoted by a.
*The semi-minor axis's length, or vertical radius, is b.
Comparing the given equation to the standard form, we see that:
*h=5 (center is at x=5)
*a=4 (semi-major axis length)
*b=7 (semi-minor axis length)
Since both a and b are positive and the denominators of both terms are squared, the graph represents an ellipse. Therefore, the correct answer is F. An ellipse.
The given equation is in the form of an ellipse:
((x−5)²/(4)²) + (y²/(7)²) = 1
It matches the standard form of an ellipse equation:
((x−h)²/a²) + ((y-k)²/(b)²) = 1
where (h,k) is the center of the ellipse, and a and b are the lengths of the semi-major and semi-minor axes, respectively.
In this equation, h=5, a=4, and b=7, indicating the ellipse is centered at (5,0) with a horizontal radius of 4 and a vertical radius of 7.
Therefore, the correct answer is F. An ellipse.
Complete Question:
What shape is the graph of the equation below?
A. A line
B. A circle
C. A parabola opening to the right
D. A hyperbola opening to the right and left
E. A hyperbola opening up and down
F. An ellipse
8x+6=5x+9
[tex]8x + 6 = 5x + 9[/tex]
Final answer:
To solve the equation 8x + 6 = 5x + 9, subtract 5x from both sides to get 3x + 6 = 9, then subtract 6 from both sides to get 3x = 3. Finally, divide by 3 to find x = 1.
Explanation:
The equation given is 8x + 6 = 5x + 9. To solve for x, you first want to get all terms containing x on one side and the constants on the other. This is achieved through the use of addition or subtraction. From LibreTexts™, we know that addition or subtraction of the same number on both sides of an equation maintains equality. So, subtract 5x from both sides:
8x + 6 - 5x = 5x + 9 - 5x
3x + 6 = 9
Next, you subtract 6 from both sides to isolate the x term:
3x + 6 - 6 = 9 - 6
3x = 3
Now, you divide both sides by 3, a step also indicated by LibreTexts™ as multiplication or division by the same number maintains the equation's balance:
3x / 3 = 3 / 3
x = 1
The solution to the equation is x = 1.
write in short; × + 2× + 13×
Hey can you please help me posted picture of question
the slope of the line below is -3. which of the following is the point-slope form of the line? A.) y+2=3(x-2) B.) y+2=-3(x-2) C.) y-2=-3(x+2) D.) y-2=3(x+2)
Answer:
B) y + 2 = -3(x - 2)
Step-by-step explanation:
it's what I got
Q9 Q6.) Write an equation for intersection l₂ that keeps traffic moving.
Ken started saving for retirement at age 35 with plans to retire at age 70. He invested an average of $600 per month in various securities, with an average annual return of 5% adjusted for inflation. Assuming monthly compounding, how much has Kent saved at the start of retirement
A: $54,192.18
B: $825,655.45
C: $499,355.18
D: $681,655.46
hey can you please help me posted picture of question
which is an example x-intercept of the graph of the function y=tan(x-(5pi/6))
Answer:
D?
Step-by-step explanation:
identify the slope and Y- intercept of the graph of the equation.Then graph the equation, Y = - 5/4X + 1
what is 103.468 rounded to the nearest liter
At a school for performance art students
2/5
of the girls study music,
3/5
of the girls study dance and
1/6
of the girls study music and dance. What fraction of those who study music also study dance?
In a survey conducted in an Office, 60% of the sample respondents agreed that employees should have flexible working hours.
If the margin of error is +-2%, the expected population proportion that wanted flexible working hours is between -------% and------%
Answer:
Yes, the answer is between 58% and 62%
Step-by-step explanation:
I just did it on Edmentum
A bookstore costs $75 a day to keep open, and it spends $11 for each book that it sells. If each book sells for $16, what is the break-even point for this bookstore?
Answer:c=11n+75
Step-by-step explanation:
A father is giving his child a 30-inch long softball bat for her birthday.He has a rectangular box that has the dimensions of 5 inches by 6 inches by 25 inches. Will the bat fit in the box ? Explain
Answer:
No, the bat will not fit. Using the Pythagorean theorem, the length of a diagonal of a face of the box is about 24 inches, and the length of the diagonal of the cube is about 29.4 inches. This is less than the length of the bat.
Step-by-step explanation:
Edguenity
Peter is working for an hourly wage of 12$ if he worked for 20 hours last week what is his gross pay
Jack had $80 more than Eric. When Jack spent $30, he found that the amount of money he had left was twice s much as Eric had. How much did the boys have altogether at the beginning?
The table below shows a correct representation that 15 pounds (lb) of sugar cost $3: lb lb lb lb lb lb lb lb lb lb lb lb lb lb lb $1 $1 $1
Answer:
true
Step-by-step explanation:
A rubber ball dropped on a hard surface takes a sequence of bounces, each one 4/5 as high as the preceding one. If this ball is dropped from a height of 10 feet, what is the total vertical distance it has traveled at the time when it hits the surface for its fifth bounce?
A) 28 77/125 feet
B) 49 1/25 feet
C) 57 29/125 feet
D) 59 29/125 feet
Answer:
The answer is 57 29/125 feet ⇒ answer (C)
Step-by-step explanation:
∵ The ball dropped from a height 10 feet
∴ The vertical distance = 10 feet
∵ It bounces 4/5 as high as the preceding one
∴ 1st bounce = 10 × 4/5 = 8 (move down another 8)
∴ The vertical distance = 8 + 8 = 16 feet
∴ 2nd bounce = 8 × 4/5 = 6.4 (move down another 6.4)
∴ The vertical distance = 6.4 + 6.4 = 12.8 feet
∴ 3rd bounce = 6.4 × 4/5 = 5.12 (move down another 5.12)
∴ The vertical distance = 5.12 + 5.12 = 10.24 feet
∴ 4th bounce = 5.12 × 4/5 = 4.096 (move down another 4.096)
∴ The vertical distance = 4.096 + 4.096 = 8.192 feet
∵ The ball will hit the surface to make the 5th bounce
∴ The total vertical distance is :
10 + 16 + 12.8 + 10.24 + 8.192 = 57.232 = 57 29/125
Another way:
* We can use the formula of geometric sequence with
1st bounce distance (a) = 8 + 8 = 16 and ratio (r) = 4/5
and number of bounces (n) = 4 (hit the surface for its 5th bounce)
∵ [tex]S_{n}=\frac{a(1-(r^{n}))}{1-r}[/tex]
∴ [tex]S_{4}=\frac{16(1-(\frac{4}{5})^{4})}{1-\frac{4}{5}}=47\frac{29}{125}[/tex]
* Then we must to add the 10 feet
(the ball dropped from height 10 feet)
∴ The total vertical distance = 10 + 47 29/125 = 57 29/125 feet
2,5,11,20 32,47 what is the next number in the series
The next number in the series is 65. To identify the pattern in the given series and find the next number, let's look at the differences between consecutive terms.
5 - 2 = 3
11 - 5 = 6
20 - 11 = 9
32 - 20 = 12
47 - 32 = 15
As we observe, the differences between consecutive terms are increasing by 3 each time. So, to find the next difference, we add 3 to the last difference:
15 + 3 = 18
Now, to find the next number in the series, we add this difference to the last number in the series:
47 + 18 = 65
Therefore, the next number in the series is 65.
To know more about series:
https://brainly.com/question/30241975
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Q # 17 , Find the slope
A marble is drawn at random first from a jar containing four black and four white marbles, and then from a jar containing six black and two white marbles. What is the probability of drawing two black marbles?
[tex] |\Omega|=8\cdot8=64\\
|A|=4\cdot6=24\\\\
P(A)=\dfrac{24}{64}=\dfrac{3}{8}=37.5\% [/tex]
Answer:
the answer is 37.5% Hope this helps!
#1. if i have a circle with a radius of 6 in and it is cut into 8 equal slices (like a pie) and the coordinates are (8, 5) then what is the central angle, what is the measure of the arc that 2 pieces together would intercept, and the equation that represents as well as the circumference?
I also need the same answers for these:
#2. radius 10 inches, 14 equal pieces, and points of (3, 7)
#3. radius 25 cm, 16 pieces and 14 and 53
#4. radius 12 inches, 8 pieces and points of (2, 5)
#5. radius 4 inches, 12 equal pieces, and points of (3, 6)
What are a) the ratio of the perimeter’s b) and the ratio of areas of the larger figure to the smaller figure?
a) We have been given two similar figures and we have to find ratio of perimeters of these figures.
Let a be given side of larger figure and b be the given side of smaller figure. Let [tex]p_{1} \text{ and } p_{2}[/tex] be the perimeters of two figures and [tex]A_{1} \text{ and } A_{2}[/tex] be the areas of the two figures.
We know that perimeters of two similar figures are in the ratio of corresponding sides.
[tex]\frac{p_{1}}{p_{2}}=\frac{a}{b}[/tex]
We have been given, [tex]a=26\text{ and }b=6[/tex]
Therefore, upon substituting these values in the above equation, we get
[tex]\frac{p_{1}}{p_{2}}=\frac{26}{6}[/tex]
[tex]\frac{p_{1}}{p_{2}}=\frac{13}{3}[/tex]
(b)
Further we know that areas of two similar figures are in the ratio of squares of corresponding sides.
[tex]\frac{A_{1}}{A_{2}}=\frac{a^{2}}{b^{2}}\\ \frac{A_{1}}{A_{2}}=\frac{26^{2}}{6^{2}}\\ \frac{A_{1}}{A_{2}}=\frac{676}{36}\\ \frac{A_{1}}{A_{2}}=\frac{169}{9}\\[/tex]
Therefore, first option is the correct answer.
Choose the correct factorization for the polynomial 21xy+15x+35ry+25r
hey can you please help me posted picture of question
Solve the system using the substituiton method
branliest offered
3x-7y=10
x-4y=5
suppose you toss a fair coin and roll a fair six-sided die. What is the probability your actions result in tails on the coin and 3 on the die
an organization surveyed a random sample of their employees about their new vacation policy. Out of the employees surveyed, 83% rated the vacation policy as "delightful" with a margin of error of ±2% and a confidence interval of 95%. What does the margin of error imply?
Answer:
Given is:
Out of the employees surveyed, 83% rated the vacation policy as "delightful" with a margin of error of ±2% and a confidence interval of 95%.
±2% means plus 2% from 83% and minus 2% from 83%, making the interval between 81% and 85%.
In general the margin of error tells that, how many percentage points the results will differ from the real population value. A small margin of error shows trustworthy results whereas a large margin of error means the results are not accurate.
Therefore, it can be concluded, with 95% confidence, that between 81% and 85% of all employees will rate the vacation policy as "delightful."
what is sqrt p^5 q^10 expressed in simplified form?
The simplified form of the expression [tex]\sqrt{p^5q^{10}}[/tex] is p²q⁵√p, obtained by separating and simplifying the square roots of the individual factors.
The expression [tex]\sqrt{p^5q^{10}}[/tex] can be simplified by separating the square roots of the individual factors and simplifying each one individually.
First, let's rewrite the square root of the entire expression:
[tex]\sqrt{p^5}[/tex] = p²√p because we are taking the square root of p to the fifth power which results in p squared and the square root of p remaining.[tex]\sqrt{q^{10}}[/tex] = q⁵ because q to the tenth power is a perfect square, and taking the square root gives us q to the fifth power.Therefore, the simplified form of [tex]\sqrt{p^5q^{10}}[/tex] is p²q⁵√p.
A rectangular prism has a volume of 96ft3. The area of the base is 24ft2. What is thw height of the prism? answer soon please