Answers
25. Step-by-step explanation:
[tex]\text{The general form of an ellipse is:}\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1\\\\\bullet \text{(h, k) is the Center}\\\bullet \text{a is the radius of x}\\\bullet \text{b is the radius of y}\\\bullet \text{the largest value between a and b is the major}\\\bullet \text{the smallest value between a and b is the minor}\\\bullet \text{the vertices are the (h, k) value plus the major (a or b) value}\\\bullet \text{the co-vertices are the (h, k) value plus the minor (a or b) value}\\\bullet \text{Length is the diameter}=2r\\[/tex]
[tex]\dfrac{x^2}{16}+\dfrac{y^2}{25}=1\quad \text{can be rewritten as}\ \dfrac{(x-0)^2}{4^2}+\dfrac{(y-0)^2}{5^2}=1\\\\\bullet (h, k)=(0,0)\\\bullet a=4\\\bullet b=5\\\bullet \text{b is the largest value so: b is the major and a is the minor}\\\bullet \text{Vertices are }(0, 0+5)\ and\ (0, 0-5)\implies (0, 5)\ and\ (0, -5)\\\bullet \text{Co-vertices are }(0+4, 0)\ and\ (0-4, 0)\implies (4,0)\ and\ (-4,0)\\\bullet \text{Length of major is }2b:2(5)=10\\\bullet \text{Length of minor is }2a:2(4)=8[/tex]
To find the foci, first we must find the length of the foci using the formula:
[tex](r_{major})^2-(r_{minor})^2=c^2[/tex]
Then add the c-value to the h (or k)-value that represents the major.
b² - a² = c²
25 - 16 = c²
9 = c²
±3 = c
The center is (0, 0) and the major is the y-value so the foci is:
(0, 0+3) and (0, 0-3) ⇒ (0, 3) and (0, -3)
26. Answers
Follow the same steps as #25:
Center: (0, 0)
Vertices (7, 0) and (-7, 0)
Co-vertices: (0, 3) and (0, -3)
foci: (2√10, 0) and (-2√10, 0)
length of major: 14
length of minor: 6
Related Questions
PLZ ANSWER RIGHT, POINTS 99!!
Select the correct answer from each drop-down menu.
Consider the following equation.
[tex]0 = x^{2} - 10x - 27[/tex]
Complete each statement about the solutions to the equation.
The negative solution is between (Q1)__ and (Q2)__.
Q1.) A. -13
B. -3
C. -2
D. -12
Q2) A. -1
B. -11
C. -12
D. -2
________________________________________________
The positive solution is between (Q3)__ and (Q4)__.
Q3.) A. 11
B. 1
C. 2
D. 12
Q4.) A. 13
B. 3
C. 12
D. 2
Answers
Using the quadratic formula -b +/-√b^2-4(ac) / 2a solve for x:
10 +/-√(-10)^2 -4(1*27) / 2*1
x = 5 +/-2√13
x = -2.21
or x = 12.21
The negative solution is between -2 and -3.
The positive solution is between 12 and 13.
if i have 38 assignments and i do 15 of them what percentage do i have done?
Answers
Answer:
39.473%
Step-by-step explanation:
It is actually fairly simple to get the answer to this. What you can do to find any percentage, is to take the amount done, or whatever it is in the scenario, and divide it by the total. It is like turning it into a fraction, which you can do as well. Turn this into a fraction, and then convert it. 15/38, 15 divided by 38 = 39.473.
Hope this helped ^-^
To find the percentage you have done, divide the number you did by the total number you have to do:
15 / 38 = 0.3947
Multiply that by 100 to get the percentage:
0.3947 x 100 = 39.47% ( Round as needed).
The tangent and secant functions are undefined for the same values true or false
Answers
Answer:
TRUE
Step-by-step explanation:
tanθ = 1/cotθ
cotθ = 0 when θ = ±(1/2)π, ±(3/2)π, … ±[(2n+1)/2]π.
∴ tanθ is undefined when θ = ±[(2n+1)/2]π.
secθ = 1/cosθ
cosθ = 0 when θ = ±(1/2)π, ±(3/2)π, , …, ±[(2n+1)/2]π.
∴ secθ is undefined when θ = ±[(2n+1)/2]π.
The tangent and secant functions are undefined for the same values of θ.
Answer:
True
Step-by-step explanation:
The tangent and secant functions are undefined for the same values.
Secant and tangent are trigonometry function. Each function has fix value for fix angle.
For angle 90° degree or [tex]\dfrac{\pi}{2}[/tex]
As we know,
[tex]\tan90^\circ=\infty[/tex]
[tex]\tan\dfrac{\pi}{2}=\infty[/tex]
[tex]\sec90^\circ=\infty[/tex]
[tex]\sec\dfrac{\pi}{2}=\infty[/tex]
True
∞ is undefined.
Hence, Both tangent and secant are undefined at 90°
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
Answers
If the shapes are similar, the correspondent sides are in proportion:
[tex]AB\div DE = BC \div EF[/tex]
Let's plug the values and solve for x:
[tex]5x \div 5 = 4 \div x \iff \dfrac{5x}{5}=\dfrac{4}{x}\iff x = \dfrac{4}{x}[/tex]
Multiply both sides by x to get
[tex]x^2=4 \iff x=\pm2[/tex]
The only feasible solution, though, is [tex]x=2[/tex], because it wouldn't make sense to have negative lengths.
The value of x in the similar polygons in the given diagram is: B. x = 2.
What are the Sides of Similar Polygons?Similar polygons have the same shape but different size, thus, the length of their corresponding sides are proportional together and have equal ratio.
In essence, we will have the following ratio:
5x/5 = 4/x
(x)(5x) = (4)(5)
5x² = 20
5x²/5 = 20/5
x² = 4
x = √4
x = 2 (option B)
Learn more about similar polygons on:
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What is the area of the triangle if the base is 5 centimeters and the height is 6 centimeters?
A. 15 cm2
B. 12 feet
C. 4 m3
D. 16 inches
Answers
Answer:
15cm2
Step-by-step explanation:
Area of a triangle is b*h/2
B is 5
H is 6
5 * 6 = 30
30/2 = 15
Answer:
A
Step-by-step explanation:
The area of a triangle is base * height, divided by 2
bh/2 (same thing as multiplying by .5 or 1/2)
given:
base: 5 cm
height: 6 cm
(5 * 6)/2 = 15 cm^2
therefore the answer is A
When are the x-intercept and the y-intercept of a graph identical?
Answers
at the origin
they are same
Answer:
The only time that both intercepts are identical is when they form the line of [tex]x = y[/tex], which is the origin, and MUST be a POSITIVE RATE OF CHANGE [SLOPE].
I am joyous to assist you anytime.
Evaluate the logarithm in e^2 (Picture provided)
Answers
Answer: option d
Step-by-step explanation:
By definition, you know that:
[tex]log_a(a^n)=n[/tex]
Where: a is the base of the logarithm.
You also know that the base of [tex]ln[/tex] is the Euler's number, which is "[tex]e[/tex]".
Therefore, when you apply the property shown above, you obtain the following:
[tex]ln(e^2)=log_e(e^2)\\ln(e^2)=2[/tex]
Then, you can conclude that the answer is the shown in the option d.
Answer:
d edge
Step-by-step explanation:
It’s right angle trig
WILL MARK BRAINLIEST!!!
Answers
c = 17.78
b = 12.12
............
Answer:
b = 12.1
c = 17.8
Step-by-step explanation:
First, we can solve for c by using sine: sin(47) = 13/c -> c = 13/sin(47) = 17.8 rounded to the nearest 10th.
Then, we can solve for b by using tangent: tan(47) = 13/b -> b = 13/tan(47) = 12.1 rounded to the nearest 10th.
I hope this helped you.
Write the ratio 2/4 as a percent.
Answers
Answer:
50%
Step-by-step explanation:
2/4 = (2/4)×(25/25) = 50/100 = 50%
Karleigh walks 5/8 mile to school every day . How far does she walk to school in 5 days
Answers
Hello, thanks for using Brainly!
First, our equation is: [tex]5/8[/tex] x [tex]5 = 25/8.[/tex]
Our first step is to simplify.
When you simplify you get 3 1/8.
This is another way you can get it: (Multiply across. )
[tex]Number[/tex] [tex]of[/tex] [tex]the[/tex] [tex]miles = \frac{5}{8}[/tex] [tex]5 = \frac{25}{8} = 3\frac{1}{8}[/tex]
Enjoy your day.
Alecia walked 3/10 of a mile from school,stopped at the grocery store on the way, then walked another 4/10 of a mile home.Georgia walked 67/100 of a mile from school to her home.Which of the girls live farther from school? Explain.
Answers
Answer:
Alecia lives farther from school
Step-by-step explanation:
Georgia
we know that
The distance from the school to her home is 67/100 of a mile
[tex]\frac{67}{100}=0.67\ miles[/tex]
Alecia
we know that
The distance from the school to her home is
3/10 of a mile plus 4/10 of a mile
so
[tex]\frac{3}{10}+\frac{4}{10}=\frac{7}{10}=0.7\ miles[/tex]
Compare the distances
[tex]0.7\ miles>0.67\ miles[/tex]
therefore
Alecia lives farther from school
Final answer:
The answer explains that Georgia lives farther from school than Alecia based on the distances they walked.
Explanation:
Alecia: Walked 3/10 mile from school + 4/10 mile back home = 7/10 mile total distance.
Georgia: Walked 67/100 mile total distance.
Alecia vs. Georgia: Alecia walked 0.7 mile, Georgia walked 0.67 mile. Georgia lives farther from the school as 0.7 > 0.67 mile.
The perimeter of a triangle is given by the formula P = a + b + c. Solved for b, this formula becomes b =
Answers
Answer: B) P-a-c.
Step-by-step explanation:
The value of b is P - a - c.
Given,
The perimeter of a triangle is given by the formula P = a + b + c.
We need to solve for b.
What is the perimeter of a triangle?The total length of all three sides of a triangle is called the perimeter of the triangle.
It is given by:
P = a + b + c
Where a,b, and c are the sides of the triangle.
We have,
P = a + b + c
Subtracting a on both sides
P - a = a + b + c - a
P - a = b + c
Subtracting c on both sides
P - a - c = b + c - c
P - a - c = b
We get,
b = P - a - c
Thus the value of b is P - a - c.
Learn more about the Perimeter of a triangle here:
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Use the graph of the function f to determine f(x)
Answers
Answer: option a.
Step-by-step explanation:
The [tex]\lim_{x \to a} f(x)[/tex] give us information about the behavior of the function when the variable x gets closer to the value a. In other words, it tells us to what value y gets closer when x gets closer to the value a.
In this case we are evaluating the limits when:
[tex]{x \to -3}[/tex]
[tex]{x \to 0}[/tex]
[tex]{x \to 2}[/tex]
of the function shown in the graph.
As you can observe in the graph, when:
[tex]{x \to -3}[/tex] , [tex]y=3[/tex]
[tex]{x \to 0}[/tex] , [tex]y=0[/tex]
[tex]{x \to 2}[/tex] , [tex]y=-2[/tex]
math 23 points help please asap
Answers
The answer is A because the rest of them for any given x you get 2 or more values of y
I Need Some Help!!!!!!!!!
Answers
Answer:
median = 50
difference in the quartiles = 45
Step-by-step explanation:
The median amount is the line in the middle of the box
The median is 50
The difference between the upper quartile and the lower quartile is the difference between the right end of the box and the left end of the box
65-20 = 45
Enter the system represented on the graph below. Find and explain the meaning of the point of intersection of the lines.
Answers
Answer:
y = -2x+4
y = (3/2)x -3
The point of intersection is (2, 0), or x=2 and y=0.
Step-by-step explanation:
The downward-sloping line drops 2 grid squares for each 1 it goes to the right, so its slope is -2. It intersects the y-axis at +4. In slope-intercept form, its equation is ...
y = slope · x + (y-intercept)
y = -2x + 4
Similarly, the upward-sloping line rises 3 grid squares for each 2 it goes to the right, so its slope is 3/2. It intersects the y-axis at -3. Its equation is ...
y = (3/2)x -3
The two lines intersect at the point where x=2 and y=0, so the coordinates are (2, 0). These are the values of x and y that satisfy both equations, so are the solution to the system.
What Katie bought some flour she used 3/8 of it to bake bread what percent of the flower is left over
Answers
Answer:
62.5%
Step-by-step explanation:
Find x in the right triangle.
Answers
Answer:
x=4
Step-by-step explanation:
We can modify the Pythagorean Theorem to fit our needs and solve x. We know our c and our a so to find x or b we use c^2-a^2=b^2. Lets input our knowns. 5^2-3^2=x^2. Lets start solving by squaring.
25-9=x^2
Subtract
16=x^2
Take the square root
4=x
Charlotte has a 222 page book. She has read 1/2 of of it. How many pages does she have left to read?
Answers
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
Hello!
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
❖ She has 111 pages left.
222/2 = 111
222 - 111 = 111
~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡
~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ
222/2=111 111x2=222
Jacob's daily tips this work week were $99, $78, $58, $91, $90, and $68. Is Jacob correct in thinking that the median best represents how much money he makes in daily tips?
Answers
Answer:
no
Step-by-step explanation:
median only shows the amount in the very middle. to represent how much money he makes in daily tips, he needs to find the mean (the average).
Answer:
Little close
Step-by-step explanation:
In statistics, when we have a list of entries to be analyzed we have few figures for observation. These are
Mean , median and mode.
Mean gives the average of all the entries. By average means.
Median gives you the middle most entry.
And mode gives the entry repeated the most.
As by definition we see that , median will give us approximation regarding daily data, hence jacob must consider the median to best represent the money he makes on daily basis.
The gravitational force on the earth is six times greater than on the moon. This means objects weigh six times as much on earth as they do on the moon. Write an algebraic expression for the weight of an object on earth if its weight on the moon is m.
Answers
Answer:
y=6x
Step-by-step explanation:
let y be the weight of an object on the earth
let x be the weight of the same object on the moon
Since the weight of an object on earth is 6 times greater than the same thing on the moon, You must multiply the weight of something on the moon by six.
Hope this helped!
Final answer:
The algebraic expression for the weight of an object on Earth given its weight on the Moon, denoted as 'm', is 'W = 6m', where 'W' represents its weight on Earth.
Explanation:
The question is asking us to find an algebraic expression for the weight of an object on Earth given its weight on the Moon.
We know that the gravitational force on Earth is six times greater than on the Moon, which means objects weigh six times more on Earth than on the Moon.
If the weight of an object on the Moon is given as m, then the weight of the same object on Earth, W, would be W = 6m.
A truck is rented at $40 per day plus a charge per mile of use. The truck traveled 15 miles in one day, and the total was $115. Which equation can be used to find the charge x, in dollars, per mile traveled?
A)40x+15=115
B)40+15x=115
C)40x+15x=115
D)40+15=115x
Answers
Answer: The equation you will use would be 40x + 15x =115. you're welcome.
The high school leadership team is having a car wash. They charge $5.50 for large cars and $4.00 for small cars . They had a successful day, washed a total of 142 cars, and made $652.50. How many large cars and small cars did they wash?
Answers
Answer: 56 large cars and 86 small cars.
Step-by-step explanation:
Let's call:
[tex]l[/tex]: the number of large cars.
[tex]s[/tex]: the number of small cars.
Then, you can set up the following system of equations:
[tex]\left \{ {{l+s=142} \atop {5.50l+4.0s=652.50}} \right.[/tex]
You can use the Elimination Method:
- Multiply the first equation by -4.0
- Add both equations.
- Solve for l.
[tex]\left \{ {{-4.0l-4.0s=-568} \atop {5.50l+4.0s=652.50}} \right.\\--------\\1.5l=84.5[/tex]
[tex]l[/tex]≈[tex]56[/tex]
Substitute [tex]l=56[/tex] into one of the original equations and solve for s:
[tex]56+s=142\\s=142-56\\s=86[/tex]
The local Walmart sold 67 televisions on Tuesday, 79 televisions on Wednesday, 195 televisions on Saturday, and 82 televisions on Sunday. How many televisions were sold in all over the weekend? The parking rates at the hospital's parking garage are 50 cents for the first hour and 25 cents for each additional hour. If Juan parks in the hospital's parking garage for 8 hours, how much will the total charge for parking be? Tom is on a diet. His diet plan allows him to have 1,000 calories for dinner. He's chosen a menu of enchiladas (537 calories), asparagus (96 calories), orange salad (78 calories), and cake (633 calories). If he eats this meal, will Tom be staying on his diet?
Answers
The total televisions sold over the weekend equals 177.
The cost of parking equals 50 cents for the first hour plus 25 cents for the additional 7 hours. Cost = .5 +7 x .25 = $2.25
In order to see if Tom is staying on his diet you need to add the total calories of the food that he is planning on eating for dinner. The total is 1,344 calories, so if he ate all of it he would not be staying on his diet.
The perimeter of a triangle is 76 cm. Side a of the triangle is twice as long as side b. Side c is 1 cm longer than side a. Find the length of each side.
Answers
Let side B = X
Then side A = 2x
Side C = 2x +1
Mow you have x + 2x + 2x+1 = 76
Simplify:
5x +1 = 76
Subtract 1 from both sides:
5x = 75
divide both sides by 5:
x = 75 /5
x = 15
Side A = 2x = 2*15 = 30 cm
Side B = x = 15 cm
Side C = 2x +1 = 2*15 +1 = 30+1 = 31 cm
What is the distance between (6, 2) and (6, -5)? A.-7 units B.3 units C.7 units D.11 units
Answers
Hey there! The correct option is A. -7 units (see photo for more info)
You can see in the photo I provided that there are 7 spaces in between (6, 2) & (6, -5) & since -5 is negative, the number of units in be will be negative.
Hope this helps you!
God bless ❤️
xXxGolferGirlxXx
I will mark the brainliest answer to the user that gets this question correct.
What is the square root of 100
Answers
Answer: your answer is 10 easy as said. Love you jojo
Answer:
10
Step-by-step explanation:
The square root of 100 is 10 because
10x10=100
Another way to do this is to add 10 together 10 times
(which is why multiplication was invented; to make adding large groups of numbers easier)
Bill is saving for his son's college education. If the savings account earns 5% interest compounded monthly, and he wants to have $45,000 in 10 years, what must the principal be?
Answers
Answer:
$27,322.25
Step-by-step explanation:
Final answer:
To find the principal, you can use the formula for compound interest. The principal should be approximately $30,157.40.
Explanation:
To find the principal, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the future value of the investment (which in this case is $45,000)
P is the principal
r is the annual interest rate (which is 5% or 0.05)
n is the number of times interest is compounded per year (monthly compounding means n = 12)
t is the number of years
Using the given values, we have:
45000 = P(1 + 0.05/12)^(12*10)
Solving for P:
P = 45000 / (1 + 0.05/12)^(12*10)
P = 45000 / (1.00416667)^(120)
P ≈ 30157.40
Therefore, Bill must have a principal of approximately $30,157.40.
If AC=12, BC=3, find CE
1) 3 square root of 3
2) 6
3) 18
Answers
Answer:
2) 6
Step-by-step explanation:
CE^2 = BC * AC
CE^2 = 3 * 12
CE^2 = 36
CE = 6
what is the domain of this graph?
Answers
Answer:
B 0 ≤x≤9
Step-by-step explanation:
The domain is the input values of the graph. In this graph it is the values that the time variable takes.
Time can take 0 seconds to 9 seconds
0 ≤x≤9