\dfrac{x^2}{46}+\dfrac{(y+8)^2}{26}=1 46 x 2 + 26 (y+8) 2 =1start fraction, x, squared, divided by, 46, end fraction, plus, start fraction, left parenthesis, y, plus, 8, right parenthesis, squared, divided by, 26, end fraction, equals, 1 What are the foci of this ellipse? Choose 1 answer:
Answer:
The focus of the ellipse are;
(-12·√(10), -8) and (12·√(10), -8)
Step-by-step explanation:
The given equation for the ellipse is presented as follows;
[tex]\dfrac{x^2}{46} + \dfrac{(y + 8)^2}{26} = 1[/tex]
From the general equation of the ellipse, we have;
[tex]\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]
The focus of the ellipse are, (h - c₁, k) and (h + c₁, k)
By comparison, we get;
h = 0, k = -8, a = 46, b = 26
We have;
c² = a² - b²
c² = 46² - 26² = 1440
c = 12·√(10)
The focus of the ellipse are therefore;
(0 - 12·√(10), -8) = (-12·√(10), -8), and (0 + 12·√(10), -8) = (12·√(10), -8).
540g and 2 kg
ok solve this question
Answer: Step-by-step explanation:
540g and 2 kg=2540g
What is the lateral surface area?
7 A cylindrical pipe measures 18 inches and has a diameter of 1 inch. How many square inches of metal
are used to make the pipe, which is open on both ends? Round your answer to the nearest hundredth.
Answer:
56.556 square inches
Step-by-step explanation:
Surface area of an open cylindrical pipe is = πdh
3.142 × 1 × 18 = 56.556
An elevator goes down 3 floors, up 5 floors, and finally down 7 floors, Write an expression that represents the total number of floors the elevator traveled
Answer: -5
Step-by-step explanation:so the elwvator goes down 3 floors so -3+5-7=-5 because 3-5=2 and 2-7=-5 hope this helps
Need more help guys :(
Step-by-step explanation:
Write a rule to describe the transition of a point from (-3,3) to (-2,2)
In the answers, we see that the rule must be formatted as:
(x,y) ⇾ (x _ 1, y _ 1)
Soo . . we take the first x (-3) and the second x (-2) and try the 2 methods:
-3 - 1 = -4
-3 +1 = -2
So we see that the first one has to + 1
Here's the rule so far.
(x,y) ⇾ (x + 1, y _ 1)
Next, take the first y (3) and the second y (2) and repeat the 2 methods:
3 + 1 = 4
3 - 1 = 2
Here we get that we have to - 1
Therefore, the rule to describe the transition of a point from (-3,3) to (-2,2) is:
(x,y) ⇾ (x + 1, y - 1)
Which is option 4 or D.
Hope this helps you understand a bit better! =)
what is perimeter? what is area?
Quelqu'un pourrais m’aider à faire cette exercice svp
Réponses:
1. pour calculer la distance OF on va utiliser tout simplement le théorème de pythagore
OF = √(68²+51²)
OF = √(4624+2601)
OF = √(7225)
OF = 85 mm
2. étant donné que la cible n'est pas atteinte si la pointe de la flèche est sur le bord, et on sait que le rayon de la cible est 100
donc la distance OF ne doit pas dépasser le nombre 100
OF < 100
3. la suite de la question trois n'est pas affichée malheureusement!
bonne journée ^^
Least to greatest 3 1/7 ,1.73,4 ,2.24
Answer:
1.73, 2.24, 3 1/7,4
Step-by-step explanation:
You do the whole numbers first, and then the decimal or fraction.
Prove or disprove that the point (51−−√, 7) lies on the circle centered at the origin and containing the point (6, 8).
Answer:
Yes, it lies on the circle.
Step-by-step explanation:
The actual question is:
"Prove or disprove that the point (√51, 7) lies on the circle centered at the origin and containing the point (6, 8)."
The equation of a circle of radius R and centered at the point (a, b) is:
(x - a)^2 + (y - b)^2 = R^2
In this case we have a circle centered at the origin, then: (a, b) = (0, 0)
And the equation becomes:
(x - 0)^2 + (y - 0)^2 = R^2
x^2 + y^2 = R^2
We also know that this circle contains the point (6, 8), then we can find the radius of our circle if we replace x by 6 and y by 8.
6^2 + 8^2 = R^2
100 = R^2
√100 = 10 = R
Then the circle equation is:
x^2 + y^2 = 10^2
Now let's see if the point (√51, 7) is a solution of the above equation:
(√51)^2 + ( 7)^2 = 10^2 = 100
51 + 49 = 100
100 = 100
This is true, so we can conclude that (√51, 7) is a solution of the circle equation, so the point lies on the defined circle.
show your work
B= 47, a = 20, c = 24
Answer:
Im lost what is this
Step-by-step explanation:
Answer:
43
Step-by-step explanation:
a+b-c
20+47-24
67-24
43
1. A lab has two bacteria cultures. Culture A
contains 8 × 104 bacteria, and Culture B
contains 4 × 106 bacteria. How do the two
cultures compare in size?
A. Culture A contains twice as many
bacteria as Culture B.
B. Culture A contains 1
2
as many bacteria as
Culture B.
C. Culture A contains 1
25
as many bacteria as
Culture B.
D. Culture A contains 1
50
as many bacteria as culture B.
Answer:
A.
Step-by-step explanation:
To get the answer, you will need to divide the number of bacterias that Culture A has by the number of bacterias that Culture B has.
Size=(8*104)/(4*104)
=2
So, A will be the correct answer. (I have corrected your answer's no. of bacterias that Culture B contains as 104.)
find the area of each figure. Round your answers to the nearest hundredth 7-10
Answer:
7.
area of parallelogram=base×height=19×7.8=148.2yd²
8.
area of semi circle=1/2[π(d/2)²]=
π×44²/8=760.265in²
9.
area of rectangle =length ×breadth
=16.4×11.8=193.52ft²
10.
area of triangle =1/2 ×base×height=1/2×20.4×14.6=148.92in²
Area of the given shapes are:
parallelogram: 148.2yd²Rectangle: 193.52 ft²Semicircle: 760.265 in²triangle: 148.92 in²What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
Given, Four shapes and we need to calculate the area.
For parallelogram:
area of parallelogram = base×height
area of parallelogram = 19×7.8 = 148.2yd²
For, Semicircle:
area of semi circle= 1/2 [π(d/2)²]
area of semi circle= π×44²/8 = 760.265 in²
For Rectangle:
area of rectangle = length ×breadth
area of rectangle = 16.4×11.8 = 193.52 ft²
For triangle:
area of triangle = 1/2 ×base×height
area of triangle = 1/2×20.4×14.6 = 148.92in²
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Use the formula to find
Answer:
5525
Step-by-step explanation:
Using the formula with n = 25 , then
[tex]\frac{25(26)(50+1)}{6}[/tex]
= [tex]\frac{25(26)(51)}{6}[/tex]
= [tex]\frac{33150}{6}[/tex]
= 5525
Which point does not pass through?
10 Points
Answer:
C ( 9 , 15)
Step-by-step explanation:
Rotate 90° clockwise about the origin
E = (-3, 3)
F = (-2, -1)
D = (-2, 3)
C = (-1, 4)
Answer:
e
Step-by-step explanation:
if the polygon is a decagon, then it has ____sides?
Answer:
10 sides
Step-by-step explanation:
Deca means 10 (decameter/decahedron/decagon)
Answer: 10 sides
Step-by-step explanation:
There are a list of suffixes for a "-gon"
- Pentagon=5 sides
- Hexagon=6 sides
- Heptagon=7 sides
- Octagon=8 sides
- Nonagon=9 sides
- Decagon=10 sides
- Hendecagon=11 sides
- Dodecagon=12 sides
Therefore, if the polygon is a decagon, then it has 10 sides
Hope this helps!! :)
Please let me know if you have any questions
Shannon participated in a national math contest by taking a math test. The test results followed a normal distribution with a mean score of 72.6 points out of 100 and a standard deviation of 8.7. Shannon received a score of 81 points. Shannon thinks she performed better than 68% of the students in the contest
Answer:
.
Step-by-step explanation:
Fernanda is filling a cylindrical pot with cans of vegetable soup. The pot has a diameter of 15 in. and a height of 11 in. The soup can has a diameter of 3 in. and a height of 6 in. How many cans of soup will it take to fill the pot? Round to the nearest can.
Answer:
45 cans
Step-by-step explanation:
To find the volume of a cylinder, we need to find the area of the cross section, which in this case is π(radius)², and multiply it with the height of the cylinder
This means the pot has a volume of:
- pot has radius of 7.5in. as diameter is 2 x radius
π x (15/2)² x 11 = 618.75π in.³
The soup can has a volume of:
- soup can has radius of 1.5in. as diameter is 2 x radius
π x (3/2))² x 6 = 13.5π in.³
Divide the volume of the pot by the volume of the can to get how many cans of soup will it take to fill the pot:
618.75π in.³ ÷ 13.5π in.³ = 45.833... cans
The question states you need to round to nearest can which would be 45 cans, but personally, I thought you would always round up as 45 cans won't fill up the whole pot, but it's up to the question.
find sin x/2 given that sin x=1/4 and 0
Answer:
Step-by-step explanation:
find sin x/2 in radians, given that sinx =1/4 and x terminates in 0 less than x less than pi/2
✓ sinx=1/4=opp side/hypotenuse adj side=√(4^2-1^2)=√(16-1)=√15 cosx=√15/4 sin x/2=√[(1-cosx)/2]=√[(1-√15/4)/2] .. calculator check: sinx=(1/4
The value of sin x/2 for sin x=1/4 and 0 is 0.124 and 0 respectively.
Given that, sin x=1/4 and 0.
We need to find sin x/2.
How to find the value of sin?The sin formula is given as sin θ = Perpendicular / Hypotenuse.
Now, for sin x=1/4
sin 1/4/2=sin 1/8=0.124
=0.124
For sinx=0
sin 0/2=0
Hence, the value of sin x/2 for sin x=1/4 and 0 is 0.124 and 0 respectively.
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What is the slope of the line passing through the points (-5, -4) and (-1, 6)?
A.2/5
B.-5/2
C.-2/5
D.5/2
Answer:
5/2
Step-by-step explanation:
Ray invested $300 in Stock A
and $750 in Stock B. Since then,
the value of Stock A has increased
by 15% each year and the value of
Stock B has decreased by 12% each
year. After 4 years, which statement
is true regarding the value of
his investments?
The claim that Stock A is worth $74.93 more than Stock B is accurate regarding the value of his investments after 4 years is
What is meant by value?Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Location value plus face value equals value. For illustration: If we take 45 into account. Here, the fourth digit is in the tens column. The value a digit in a number represents based on where it is in the number is known as place value. For instance, 700 is the place value of 7 in 3,743. Nevertheless, 7,000 or 7,000 is the place value of 7 in 7,432.To learn more about value, refer to:
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Solve the system of equations. y = 3x + 2 y = -4 y = -4
Answer:
y = x^2 i think
Step-by-step explanation:
graph{y=3x-2 [-10, 10, -5, 5]}
Explanation:
This equation is in the form
y
=
m
x
+
b
so the line is linear.
To graph this equation, all you have to do is figure out two things, the slope and the y-intercept.
The 3x is the slope and -2 is the y-intercept
0. A hardware store sold h hammers in February. The hardware store sold 5 less than 2 times as
many hammers in June as it did in February. Write an expression the hardware store could use
to represent the number of hammers it sold in June.
Answer:
2h - 5Step-by-step explanation:
Sold in February = hSold in June = 2h - 5Answer:
solution given:
let hammers be H
now
an expression the hardware store could use to represent the number of hammers it sold in June is 2H-5
image below answer correcctly and u will have brainliest no links i or i wiil report u
Answer:
40.32
Step-by-step explanation:
lengthxwidthxheight
Write a function for the line that includes the points (4,−5) and (8,−7).
Answer:imma try to help you
Step-by-step explanation:
The function for the line can be written as F(x) = -(1/2)x - 3.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that line that includes the points (4,−5) and (8,−7).
The slope will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( -7 +5 ) / ( 8 - 4)
Slope = -2 / 4= -1/2
The y-intercept will be calculated as,
y = mx + c
-7 = -1/2 x 8 + c
-7 = -4 + c
c = -3
The equation can be written as,
y = mx + c
y= -1/2(x) - 3
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Find the area of the circle.
50.24 in?
803.84 in?
d= 8 in.
25.12 in?
12.56 in?
200.96 in?
Answer:
The answer is 50.24
Step-by-step explanation:
Equation is: 3.14 times 4²
Radius is 1/2 the diameter
funniest thing you'll see all day
Answer:
My dog getting smacked allot by my cat ( my cat was bullying my dog all day XD) 1 thanks = one less smack for the dog lol
Step-by-step explanation:
Me kat (cat) was mewing all day. Me go to market to buy his favourite food (fish).Me comes home. Me takes time to prepare fish. Me gives kat fish. He throw away fish and insult me with some more mews
Find the Interquartile Range (IQR) of the data set.
5, 2, 3, 4, 7, 9, 8, 10, 12, 8, 7
Answer:
5
Step-by-step explanation:
PLEASE ANSWER, NO LINKS
Answer:
D P/B=T
Step-by-step explanation:
Including the floor, how many faces are there?