Graph the circle x2 + y² + 16x - 16y + 124 = 0
Answers
Answer:
the second option
Step-by-step explanation:
The graph of circle x² + y² + 16x - 16y + 124 = 0 is attached and circle has centre (-8, 8) and radius 2.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
To graph the circle x² + y² + 16x - 16y + 124 = 0, we first need to rewrite it in standard form:
x² + 16x + y² - 16y + 124 = 0
(x² + 16x + 64) + (y² - 16y + 64) = -124 + 64 + 64
(x + 8)² + (y - 8)² = 4
Now we can see that the circle has center (-8, 8) and radius 2.
To graph it, we can plot the center point and then draw a circle with radius 2 around it.
Hence, the graph of circle x² + y² + 16x - 16y + 124 = 0 is attached and circle has centre (-8, 8) and radius 2.
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ2
Related Questions
5.345345... can be expressed as (fraction form)
Answers
Answer:
5.(345)=1,780/333
Step-by-step explanation:
5.(345)=(5,345-5)/999=5,340/999=1,780/333
The fraction corresponds to given decimal is 1780/333.
What is fraction form?
A fraction is used to show how much of something is left over. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction.
What will be the fraction for the given decimal number?Let x=5.345
The repeating number is 345
Multiply both sides by 1000
1000x=5345.345
Subtract x=5.345 from the obtained equation,
999x=5340
Solve for x,
x=5340/999
x=1780/333
Therefore, the fraction corresponds to given decimal is 1780/333.
Learn more:https://brainly.in/question/2746450
#SPJ2
What’s the simplified principal square root of -36
Answers
Answer:
6
Step-by-step explanation:
because 36 is a perfect square root.
See question above
A) 7.2 cm
B) 9 cm
C) 10.6 cm
D) 12 cm
Answers
Answer:
B) 9 cm
Step-by-step explanation:
Just look at the triangle and use Pythagoras theoreum.
a² + b² = c²
a = 9 9 - 4.9 = 5
b = ?
c = 10
5² + b² = 10²
b² = 100 - 25
b² = 75
b = + - SQRT( 75 )
{Only the positive term has a meaning here.}
b = 8.66 rounded that is 9, which is answer B.
Elaine and Sandy both like lemonade Elaine has a 16 tablesspoon box of lemonade Sandy has an 18 tablespoon box of lemonade mix he likes his lemoade stronger and uses 3 tablespoons of mix for each glass of lemonade who will run out of mix first Elaine or Sandy
Answers
Answer:
The answer is sandy
Step-by-step explanation:
18/3= 6 why? because each glass of lemonade he drink he puts 3 table spoons, and a table spoon is the big spoon
hope this helped <3
Can someone give me three possible solutions?
Answers
The formula for area of a triangle is A = 0.5bh. The formula for the volume of a prism is V = Bh. What does the B in the right prism volume formula represent?
Answers
Answer:
B represents area of the right triangle
Step-by-step explanation:
Given;
Area of a triangle is A = 0.5bh
where;
b is the base of the triangle
h is the height of the triangle
Given, formula for the volume of a prism is V = Bh
For a right triangle prism, the formula for the volume is, V = Bh
Where;
B is the area of the right triangle
h is the height of the prism
Therefore, B represents area of the right triangle
Quadratic equation. Find the value of m so that the roots of the equation (4 - m) x^2 + (2m + 4)x + (8m + 1) = 0 may be equal.
Answers
The quadratic has one root with multiplicity 2 if the discriminant is 0, which is
[tex](2m+4)^2-4(4-m)(8m+1)[/tex]
(That is, for a quadratic [tex]ax^2+bx+c[/tex], the discriminant is [tex]b^2-4ac[/tex].)
Set the discriminant equal to 0 and solve for [tex]m[/tex]:
[tex](2m+4)^2-4(4-m)(8m+1)=0[/tex]
[tex]4m^2+16m+16+32m^2-124m-16=0[/tex]
[tex]36m^2-108=0[/tex]
[tex]36m(m-3)=0[/tex]
[tex]\implies m=0\text{ or }m=3[/tex]
Gonna need this in like 5 hrs please help
Answers
Answer:
G. Oatmeal is the favorite type of cereal for 15% of the children
Step-by-step explanation:
Oatmeal is 15/50 of the students' favorites, so it would actually be 30% therefore it is not supported. Hope this was helpful! :)
Determine the scale factor from the point A(2, 6) of DEF to D’E’F’ where D(-8, 6), E(-8, 14), F(2, 3) (- 3, 6) and D’ (-3, 6) E’(-3, 10) and F’(2, 4.5) What is the scale factor?
Answers
Answer:
The scale factor to transform DEF to D'E'F' is 1/2
Step-by-step explanation:
DEF is
D(-8, 6), E(-8, 14), F(2, 3)
D'(-3, 6), E'(-3, 10), F'(2, 4.5)
Therefore;
DE = √((-8-(-8))²+(6-14)²) = 8
D'E' = √((-3 -(-3))² + (6 - 10)²) = 4
Similarly,
EF = √((-8 - 2)² + (14 - 3)²) = √(100 + 121) = √221
E'F' = √((-3 - 2)² + (10 - 4.5)²) = √(100/4 + 121/4) = (√221) × 1/2
Also
DF = √(-8 - 2)² + (6 - 3)² = √(100 + 9 =√109
D'F' = √(-3 - 2)² + (6 - 4.5)² = √(5² + 3²) = √((10/2)² + (3/2)²) = √(100/4 + 9/4) = (√109)×1/2
Therefore the ratio of DEF to D'E'F' = DE/D'F' = EF/E'F' = DF/D'F' = √221/(√221) × 1/2 = 2
That is the scale factor of DEF to D'E'F' = 1/2.
Enunciado: Traza la gráfica de la función. Traza también la gráfica de la asíntota, si es distinta al eje de x o al eje y. Define el Rango y el Dominio. h(x)=log(1/3) x
Answers
Answer:
The given function is
[tex]h(x)=log_{\frac{1}{3} } (x)[/tex]
It's important to know that logarithms are the opposite function to exponentials, which means their domains and ranges are defined the opposite way.
The domain of logarithms is restricted, because negative numbers or the zero is not allowed in their domains. So, the domain of this function is: [tex]D:(0, infinite][/tex]
On the other hand, its range is not restricted, so it's defined: [tex]R: (infinite, -infinite)[/tex]
The image shows the graph of this function, there you can observe its domain and range set definitions.
If 2.6( d +1.4 )- 2.3d= 4,what is d?
Answers
Answer:
1.2 units
Step-by-step explanation:
2.6(d + 1.4) - 2.3d = 4
2.6d + 3.64 - 2.3d = 4
0.3d + 3.64 = 4
0.3d = 0.36
d = 1.2
A certain circle can be represented by the following equation. x^2+y^2+8x-16y+31=0x 2 +y 2 +8x−16y+31=0x, squared, plus, y, squared, plus, 8, x, minus, 16, y, plus, 31, equals, 0 What is the center of this circle ? ((left parenthesis ,,comma ))right parenthesis What is the radius of this circle ? units
Answers
Answer:
center = [tex](-4,8)[/tex]
Radius = 7 units
Step-by-step explanation:
Given: Equation of circle is [tex]x^2+y^2+8x-16y+31=0[/tex]
To find: Radius and center of the circle
Solution:
Equation of circle is [tex](x-a)^2+(y-b)^2=r^2[/tex]
Here, [tex](a,b)[/tex] is the center and r is the radius.
[tex]x^2+y^2+8x-16y+31=0\\\left [ x^2+2(4)x+4^2 \right ]+\left [ y^2-2(8)y+8^2 \right ]+31=4^2+8^2[/tex]
Use formula [tex](u+v)^2=u^2+v^2+2uv[/tex]
[tex](x+4)^2+(y-8)^2=16+64-31\\(x+4)^2+(y-8)^2=49=7^2[/tex]
On comparing this equation with equation of circle,
center = [tex](-4,8)[/tex]
Radius = 7 units
Answer:
center: (4,-4)
Radius: 9
Step-by-step explanation:
KHAN ACADEMY
6.8x+9.3=-9.4+3.4(2-5x)
Answers
Answer:
x = -2.67
Step-by-step explanation:
6.8x + 9.3 = -9.4 + 3.4(-3x)
6.8x + 10.2x = -9.4 - 9.3
17x = -18.7
x = -2.67
(x - 3)2
k.
+ 2x - 4 for x = 5
Answers
Answer:
4k + 6
Step-by-step explanation:
how do you do pythagorean
Answers
Answer:
a²+b²=c²
Step-by-step explanation:
a and b are the short legs of the triangle and c is the long edge (the hypotenuse). so if you take leg a and square it, then add it to leg b and square it then you will get the length of the hypotenuse
The three squares that will form a right triangle are ...?
Answers
Answer:
Three squares that form right triangle:
A, E and C
Step-by-step explanation:
Area of E = 1^2 = 1
Area of A = 2.4^2 = 5.76
Area of C = 2.6^2 = 6.76
Area A + Area E = Area C
Rewrite the function by completing the square. f(x)=x^{2}+16x-46
Answers
x^2 + 16 - 46 = x^2 + 16 + 8^2 - 46 - 8^2 = (x + 8)^2 - 110
Answer:
[tex]f(x)=(x+8)^{2}-110[/tex]
Step-by-step explanation:
[tex]f(x)=x^{2}+16x-46 \\=x^{2}+2\times 8\times x-46 \\=x^{2}+16x+8^2-8^2-46 \\=(x+8)^{2}-64-46\\f(x)=(x+8)^{2}-110[/tex]
Colleen has a prepaid phone card with $40 on it. It costs her $0.25 for each minute she spends on the phone. How much money will be left on the card if she speaks for 60 minutes?
Answers
Answer:she will have $25 left .
Step-by-step explanation:
0.25(60) = 15
$40 - $15 = $ 25
A trapezoid was broken into a triangle and rectangle. The base of the triangle b is ______cm.
Answers
When Colton commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a standard deviation of 3 minutes. What percentage of his commutes will be between 33 and 35 minutes, to the nearest tenth?
Answers
Answer:
[tex]P(33<X<35)=P(\frac{33-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{35-\mu}{\sigma})=P(\frac{33-41}{3}<Z<\frac{35-41}{3})=P(-2.67<z<-2)[/tex]
And we can find the probability of interest with this difference
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)[/tex]
And if we use the normal standard table or excel we got:
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)=0.02275-0.00379=0.01896[/tex]
And if we convert the probability to a % we got 1.896% and rounded to the nearest tenth we got 1.9 %
Step-by-step explanation:
Let X the random variable that represent the times to conmutes to work of a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(41,3)[/tex]
Where [tex]\mu=41[/tex] and [tex]\sigma=3[/tex]
We are interested on this probability
[tex]P(33<X<35)[/tex]
And we can solve the problem using the z score formula given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
And using this formula we got:
[tex]P(33<X<35)=P(\frac{33-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{35-\mu}{\sigma})=P(\frac{33-41}{3}<Z<\frac{35-41}{3})=P(-2.67<z<-2)[/tex]
And we can find the probability of interest with this difference
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)[/tex]
And if we use the normal standard table or excel we got:
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)=0.02275-0.00379=0.01896[/tex]
And if we convert the probability to a % we got 1.896% and rounded to the nearest tenth we got 1.9 %
A cylinder and a cone are shown below. A cylinder with height 12 inches and volume 2,512 inches cubed. A cone with height 12 inches and volume 1,256 inches cubed. Which explains whether the bases of the cylinder and the cone have the same area? The bases have the same area because the heights are the same. The bases have the same area because the volume of the cone is One-half the volume of the cylinder. The bases do not have the same area because the volumes are not the same. The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.
Answers
Answer:
It should be d, The bases do not have the same area because the volumes are not the same.
Step-by-step explanation:
did it on the unit review test
The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.
How to find the volume of a cone?The volume of a cone is given by the formula:
A = πr²h/3
How to find the volume of a cylinder?The volume of a cylinder is given by the formula:
A = πr²h
It is given that the height of both the cylinder and the cone is the same.
This means that the only way variable that influences the volume is the radius of the base.
The volume of the cylinder is three times the volume of the cone when the radius and height are equal.
But the volume of the cylinder is two times the volume of the cone in the given question.
This means that they have different radii which means that the bases are different.
Therefore, we have found that the bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights. The correct answer is option D.
Learn more about cylinders and cones here: https://brainly.com/question/331787
#SPJ2
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!
Answers
Answer:
A
Step-by-step explanation:
The rule for negative exponents is:
[tex]a^{-n} = \frac{1}{a^n}[/tex]
We have:
[tex]5^{-2}[/tex]
So, we can create a fraction with 1 as the numerator, and our exponent raised to a positive number as the denominator, and rewrite it as:
[tex]\frac{1}{5^2}[/tex]
Evaluate the exponent in the denominator
[tex]\frac{1}{5*5}\\\frac{1}{25}[/tex]
Therefore, choice A, 1/25 is correct.
how many times does 6 go into 29
Answers
Answer:
4 times
Step-by-step explanation:
Answer:
4.8333333 or 4 5/6 times
Step-by-step explanation:
29/6 = 4.83333333
find the approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches
Answers
Answer:
The approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = 0.15866
Step-by-step explanation:
The complete question is presented in the attached image to this answer.
It is stated that the distribution of tree diameters is approximately normal, hence, this is a normal distribution problem with
Mean diameter = μ = 8 inches
Standard deviation = σ = 2.5 inches
The approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = P(x < 5.5)
To solve this, we first normalize or standardize 5.5 inches
The standardized score for 45mg/L is the value minus the mean then divided by the standard deviation.
z = (x - μ)/σ = (5.5 - 8)/2.5 = - 1.00
The required probability
P(x < 5.5) = P(z < -1.00)
We'll use data from the normal probability table for these probabilities
P(x < 5.5) = P(z < -1.00) = 0.15866
Hope this Helps!!!
Someone please help me.
Answers
Answer:
D
Step-by-step explanation:
-4 x 3/2 = -12/2; which equals -6
so -6x.
-4 x -1/2 = 4/2; which equals 2
This means that:
-6x + 2 = 15; so 'D' is the answer
Answer:
D
Step-by-step explanation:
The distributive property states that a(b+c)=ab+ac. In this problem -4 is a, 3/2x is b, and -1/2 is c. -4(3/2) is 6, and -4(-1/2) is 2. So we have -6x+2=-15.
A rectangular swimming pool is 15 meters long, 10 1⁄2 meters wide, and 2 1⁄2 meters deep. What is its volume?
Answers
Answer:
393.75 m^3
Step-by-step explanation:
to find the volume, u need to multiply the length by the width by the height . when u multiply the 3 numbers u will get 393.75 m^3
A cylinder has a radius of 2 meters and a height of 10 meters. What is the volume of the cylinder? Cylinder V = Bh 1. Write the formula replacing B with the formula for the area of a circle: 2. Substitute the actual measures for the variables: 3. Evaluate the power: V = πr2h V = π(22)(10) V = π(4)(10) 4. Simplify: V = π m3
Answers
Answer:
125.6 cubic meters
Step-by-step explanation:
To calculate the volume of the cylinder, we will do it as follows:
Vc = Base area * Height
We know that the base of the cylinder is a circle, therefore:
Base area: pi * r ^ 2
replacing we have:
Vc = pi * (r ^ 2) * h
We have r = 2 and h = 10, we replace:
Vc = pi * (2 ^ 2) * 10
Vc = 40 * pi
pi = 3.14
Vc = 40 * 3.14
Vc = 125.6
Which means that the volume of the cylinder is 125.6 cubic meters
Answer:
It is 40
Step-by-step explanation:
I filled it in the blank and I got it correct edge 2020!
hope this helps :)
musa age is twothird of abus age if the sum lf their ages equals to 30 what is abu age
Answers
Answer:
the answer is 10 i think
1. f(x)=0.5x-1.5x +1I 4x<-1-1sx53 x>3
Answers
Answer:
sorry dont know
Step-by-step explanation:
good luck tho
\
f(x) = 0.5x-1.5x+1
4x<-1
-1 ≤ x ≤ 3
x < 3
What is 8000000000x183838484747474747474747474
Answers
Answer:
1.47070788E36
Step-by-step explanation:
