Answer:
infinite solutions
Step-by-step explanation:
Write an equation for an ellipse centered at the orgin, which has foci ( plus minus 3, 0) and co-vertices at (0, plus minus 4)
Answer:
The answer is below
Step-by-step explanation:
The co-vertices of an ellipse are the endpoints of the minor axis. The equation for an ellipse is given by:
[tex]\frac{(x-h)^2}{a^2} +\frac{(y-k)^2}{b^2}=1[/tex]
Where (h, k) is the center of the ellipse, (h, k±b) is the co-vertices, (h ± a, k) is the vertices, (h ± c, k) is the foci and c² = a² - b²
Since the center is the origin, hence (h, k) = (0, 0). i.e h = 0, k = 0.
Foci = (h ± c, k) = (± c, 0) = (±3, 0). c = 3
co-vertices = (h, k±b) = (0, ±b) = (0, ±4). b = 4
c² = a² - b²
a² = c² + b²
a² = 3² + 4² = 25
a = 5
Therefore the equation of the ellipse is:
[tex]\frac{x^2}{5^2} +\frac{y^2}{4^2}=1 \\\\\frac{x^2}{25} +\frac{y^2}{16}=1[/tex]
Type the correct answer in each box. Use numerals instead of words. The sum of two numbers is 84. The square of the first number is 6 more than the second number. Write a system of equations to find the value of x, the first number, and y, the second number.
y = -x + ____
y = x^2 + ____
Answer:
84, -6
Step-by-step explanation:
y= -x+84
y= x^2+(-6)
The system of equations used to find the value of x is:
y = -x + 84
y = x² - 6
Let x represent the first number and y represent the second number.
The sum of the two numbers is 84, hence:
x + y = 84
y = -x + 84 (1)
The square of the first number is 6 more than the second number. Hence:
x² = 6 + y
y = x² - 6 (2)
The system of equations used to find the value of x is:
y = -x + 84
y = x² - 6
Find out more at: https://brainly.com/question/21105092
if you know how to do it correctly, please help me only.
Answer:
1&2 Perpendicular
1&3 Parallel
2&3 Perpendicular
Step-by-step explanation:
I put it in the Desmos Calculator
help me with math please ❤️❤️❤️❤️
Answer: (0.-7)
Step-by-step explanation:
Take the equation
y=x-7
The last number 7 is the Y-intercept
(0.-7)
Answer:
(0,-7)
Step-by-step explanation:
Hey There!
So we can easily find which one is a solution but taking an order pair and plugging in the x value
then we solve for y and if we get the value of y that is with the matching x value then it is a solution
for example for the first pair we plug in -1 to x
-1-7=-8
-8 does not equal -6 therefore the first one is not a solution
for the second one we plug in 0 to x
0-7=-7
-7=-7 therefore it is a solution
but lets just check the rest to be safe
for the third one we plug in 8 to x
8-7=1
-1 does not equal 1 thus it is not a solution
for the last one we plug in -1
-1-7=-8
-8 does not equal 6 therefore it is not a solution
so we can conclude that the second one is a solution
HELP PLS QUICKLY !!!
Factor as the product of two binomials.
x^2 + 3x + 2 ?
Answer:
x^2+3x+2 = (x+1)(x+2)
Step-by-step explanation:
can i get some help pls i don't know how to write this equation
Answer: x = (log(y) /(400 log1.0065) or x = log(initial cost)/1.126
Step-by-step explanation: Take the log of both sides of your equation:
log(y) = log(400)(1.0065)^x
log (y) = log 400 + log(1.0065)^x
Subtract log(400) from both sides:
log(y) - log 400 = xlog(1.0065)
Divide both sides by log(1.0065)
[log(y) - log(400)]/log(1.0065) = x
Now, if you want to know how many years it will take for the guitar to be worth $200, replace y with 200 and solve.
1. Point A(3,7), Scale Factor (k) = 2
Find the Point A'(
Answer:
(6,14)
Step-by-step explanation:
what is 6 divided by 10.00 (show work)
Answer:
3/5
Step-by-step explanation:
6/10 => 3/5
in decimal form its 0.6
Answer:
6÷1000=0,6
Step-by-step explanation:
6÷1000=0,006
0,6/100=
0,6%
the Correct answer is 0,6
Chad is taking a taxi from the airport to his home. There is a $7 flat fee for riding in the taxi. In addition, Chad must pay $2 per mile. How much will Chad pay if he takes the taxi for 50 miles? Group of answer choices
Answer:
$107
Step-by-step explanation:
Total amount paid = flat fee + price per mile x total mile
$7 + 50($2) = $107
For square ABCD, if m∠ACB = (8x – 27)°, find the value of x.
Answer:
x=9
Step-by-step explanation:
Since ABCD is a square, we know that AC bisects ∠BCD(=90), and therefore ∠ACB=45.
8x-27=45
8x=72
x=9
Answer:
x = 9°
Step-by-step explanation:
∠ACB = 45° because line AC bisects ∠BCD which is 90° (because square).
8x - 27° = 45°
add 27° to each side:
8x = 72°
divide both sides by 8:
x = 9°
What is the value of (5ý + 3) + 5?
Answer:
5y + 8
Step-by-step explanation:
5y + 3 + 5
5y + 8
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
What is m Using the hexagon
OMG PLEASE HELP ;-; FIRST ANSWER GETS BRAINLIST. AND A REAL ANSWER PLEASE
Point F is reflected over the y-axis to create F’. Use an ordered pair to name the location of F’, and determine the distance between F and F’.
Answer: Reflection about the y-axis is according to the rule
(x,y)->(-x,y)
Therefore F(x,y) -> F'(-x,y)
The distance between F' and F is (-x,y)-(x,y)=-2x, or the positive distance is 2x.
Step-by-step explanation:
PLEASE HELP!
Please find the area of the composite figure. Number only please. Thank you!!
Answer:
47(whatever the unit is square)
Step-by-step explanation:
Find the value of each varlable.
11. X
10
45
у
Answer:
X=10
sin45=10/y
0.707106781186×y=10
y=14.14213562373
2)the left angle=180-(90+60)
=180-150
=30
sin30=X/32
0.5×32=X
X=16
sin60=y/32
0.866025403784×32=y
y=27.71281292110
(round those numbers)
What is 15,000 in percentage
Add more details to answer
Helpful source:
https://percent-calc.com/what-is-9-of-15000
Answer:
7%
Step-by-step explanation:
im not sure but thanks me later
Find the solutions of the quadratic equation 3x^2 – 2x +4= 0.
Answer:
C. x =(1±i√11)/3
Step-by-step explanation:
Use the quadratic formula to find the solutions.
(−b±√b²−4(ac))/2a
Substitute the values a=3, b=−2, and c=4 into the quadratic formula and solve for x.
2±√(−2)²−4⋅(3⋅4)2⋅3
Simplify.
x=(1±i√11)3
The measure of an angle is 77°. What is the measure of its complementary angle?
Answer:
13º
Step-by-step explanation:
Complementary angles are angles that add up to 90º. So, subtract 77 from 90, and you get 13.
Irri is traveling in a group of 888 cat warriors. Each cat needs 444 liters of milk per day to maintain good morale. Mirri has a supply of 969696 liters of milk. Another cat has enough milk to last for 222 days. Which equation can we use to find \greenD{d}dstart color #1fab54, d, end color #1fab54, the total number of days the milk will last?
Answer:
3.25 days
Step-by-step explanation:
Irri is traveling in a group of 8 cat warriors. Each cat needs 4 liters of milk per day to maintain good morale.
The total number of liters for the cat is calculated as:
8 × 4 liters of milk
= 32 liters of milk.
Another cat has enough milk to last for 2days.
= 4 liters of milk × 2 days
= 8 liters
Mirri has a supply of 96 liters of milk.
Total liters of milk = 96 liters + 8 liters
= 104 liters
Which equation can we use to find the total number of days the milk will last?
This is calculated as:
= 104 liters/32 liters
= 3.25 days
What is the equation for the line that has a slope of -2 and a y-intercept of (0,9)?
Answer:
y=-2x+9
Step-by-step explanation:
What is the radius of a circle if the area is 314.2?
Answer: about 10.
Step-by-step explanation:
314.2= 3.14r^2
100.01= r^2
radius is about 10.
A 2-ft vertical post casts a 20-in shadow at the same time a nearby cell phone tower casts a 125-ft shadow. How tall is the cell phone tower?
Answer:
1249. 5 inches
Step-by-step explanation:
Pole length , Pl = 2 fts
Pole shadow, Ps = 20 in = (0.0833 * 20) = 1.666 ft
Tower length, Tl = 125 ft
Tower shadow, Ts = x
Pl / Ps = Tl/ Ts
2/ 1.666 = 125 / x
Cross multiply
2x = 125 * 1.666
2x = 208.25
x = 104.125 ft
x = 104.125 * 12 = 1249. 5 inches
What is the multiplicative identity of the complex number 4 + 8i
Answer:
1
Step-by-step explanation:
when you multiply an complex number by its multiplicatuive identity, in case 4+8i, you would multiply both the top and the bottom by 4-8i which is actually the value one since we cannot actually change the whole value of the number. By multiplying it by 1 and we get the same value without the imaginary number
(sorry if this doesn't make sense but I hope it helps)
about that did you forget to put -4 + 8i just to make sure about it because I am not sure if you forget it or not just making sure
Answer:
1
Step-by-step explanation:
A flagpole casts a shadow 200 feet long. At the same time, a boy 6 feet tall casts a
shadow 24 feet. What is the height is the flagpole?
Answer:
800 feet I think
Step-by-step explanation:
6x4=24. 200x4=800.
Since 1900, the Audubon Society has conducted an annual Christmas bird count, documenting the number of birds of each species seen in locations across the country. In the 2011 Christmas bird count, there were 3,813 red-tailed hawks seen and counted in Texas. In the 2012 count, there were 4,511 red-tailed hawks counted in Texas. Calculate the growth rate by dividing the difference in the numbers seen in the two years by the number seen in 2011. Then use this value to calculate the estimated population of red-tailed hawks in Texas in 2022, if the growth rate remains constant.
Answer:
The answer is 23,610
Step-by-step explanation
First: 4,511-3,813= 698
Second: 698/3,813 = 0.18
Third: 4,511(1+0.18)^10 {could be put on a ti-84 calculator}
Answer: About 23,610 ( This is an estimate as the answer is an decimal)
I hope this helps! :)
Solve for p: p2 + 36 = 13p.
Pls help
Answer:
p=4
p=9
Step-by-step explanation:
Adam has a ladder that is 6m long. His ball got stuck in a tree, and he wants to use the ladder to get it down. He puts the ladder 2m away from the base of the tree. How high will the ladder reach? Round your answer to the nearest tenth of a meter.
Please help I really need it !!
(anything would be helpful) - Urgent
Answer:
0.08
Step-by-step explanation:
Plssssss help me!!!
Answer:
2h + 10
Step-by-step explanation:
The question gives one the height of Tree A (8h - 1) and the height of Tree B (6h - 11). The problem asks one to find how much taller Tree A is than Tree B. This problem can be modeled using a simple subtraction problem, the height of Tree A, minus the height of Tree B. Remember to distribute the subtraction sign outside of the parenthesis, and only combine like terms;
(Tree A) - (Tree B)
= (8h - 1) - (6h - 11)
= 8h - 1 - 6h + 11
= 2h + 10
Since there was no numerical value given for the variable (h), nor any value which this expression is equal, the final answer is (2h + 10).
what is the square root of 49/64?
Answer:
8/7
Step-by-step explanation:
mark me brainliest
Answer:
49/64
= √49/√64
= √ (49/64)
= 7/8
Write an equation for the parabola that satisfies
each set of conditions.
a) vertex (3, 4), opening downward with
a vertical stretch by a factor of 3
Answer:
Step-by-step explanation:
y = -3(x-3)^2 + 4