Answer:
The equation of a circle centered in the point (a, b) and with a radius R.
(x - a)^2 + (y - b)^2 = R^2
Then, if you move the circle to the left, then you are decreasing the value of b.
Where b = 0 means that the center of the circle lies on the y-axis.
When you move the graph to the right you will be increasing the value of b.
Answer:
The variable h changes as the center of the circle moves horizontally. The sign of h is negative when the center is to the left of the y-axis and positive when it is to the right of the y-axis. The sign of the variable h flips when the center moves across the y-axis.
Step-by-step explanation:
plato answer from Equation of a Circle: Tutorial :)
This link will take you to a quizlet that is on this lesson with the other answers and test question answers!!
https://quizlet.com/519491317/geometry-b-unit-7-flash-cards/#:~:text=Move%20the%20center%20of%20the%20circle%20vertically%20so%20it%20lies,of%20the%20circle%20moves%20vertically.
ANSWER FAST A 10 ft long ladder has one end that leans against a wall and another that rests on the ground 6 feet from the wall. How high on the wall does the ladder rest?
Answer:
8 feet
Step-by-step explanation:
[tex]h = \sqrt{10^{2} - 6^{2} } = \sqrt{100 - 36} = \sqrt{64} = 8[/tex]
what is the mean devuation of the following numbers
Answer:
hi pls do enter the no.s
A mechanic sells a brand of automobile tire that has a life expectancy that is normally distributed, with a mean life of miles and a standard deviation of miles. He wants to give a guarantee for free replacement of tires that don't wear well. How should he word his guarantee if he is willing to replace approximately 10% of the tires?
Complete question is;
A mechanic sells a brand of automobile tire that has a life expectancy that is normally distributed, with a mean life of 34,000 miles and a standard deviation of 2500 miles. He wants to give a guarantee for free replacement of tires that don't wear well. How should he word his guarantee if he is willing to replace approximately 10% of the tires?
Answer:
The mechanics worded guarantee that the tyre will be replaced if it lasts less than or equal to 30796 miles.
Step-by-step explanation:
Let X = Life expectancy of the automobile tire
For the normal distribution, we are given;
μ = 34000
σ = 2700
Let y miles be the minimum miles of the tyres which the mechanic guarantees that he will replace if it's last less than that.
Now, since the mechanic is willing to replace approximately 10% of the tires, y would be such that:
P(X ≤ y) = 0.1
Using the z formula, we have;
P[(X - μ)/σ) ≤ [(y - μ)/σ] = 0.1
Thus;
P(Z ≤ ([y - μ]/σ) = 0.1
From z-distribution table the Z-score at 0.1 is approximately -1.2816
This is P(Z ≤ -1.2816)
Thus;
[y - μ]/σ = -1.2816
(y - 34000)/2500 = -1.2816
y - 34000 = -1.2816 × 2500
y - 34000 = -3204
y = 34000 – 3204
y = 30796
So, we conclude that the mechanic will guarantee that the tyre will be replaced if it lasts less than or equal to 30796 miles.
Points A(-l, y) and B(5,7) lie on a circle with centre 0(2, -3y). Find the values of y. Hence, find the radius of the circle
Answer:
The answer is below
Step-by-step explanation:
Points A(-l, y) and B(5,7) lie on a circle with centre O(2, -3y). This means that AB is the diameter of the circle and OA = OB = radius.
For two points X([tex]x_1,y_1[/tex]) and Y([tex]x_2, y_2[/tex]), the coordinates of the midpoint (x, y) between the two points is given as:
[tex]x=\frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}[/tex].
For A(-l, y) and B(5,7) with center O(2, -3y), the value of y can be gotten by:
[tex]For\ x\ coordinate:\\2=\frac{-1+5}{2}\\ 2=2.\\For\ y\ coordinate:\\-3y=\frac{y+7}{2}\\ -6y=y+7.\\-6y-y=7\\-7y=y\\y=-1[/tex]
The value of y is -1. Therefore A is at (-1, -1) and O is at (2, -3(-1))= (2, 3)
The radius of the circle = OA. The distance between two points X([tex]x_1,y_1[/tex]) and Y([tex]x_2, y_2[/tex]) is given as:
[tex]|OX|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\Therefore\ the\ radius \ |OA|\ is :\\|OA|=\sqrt{(2-(-1))^2+(3-(-1))^2}=\sqrt{25}=5[/tex]
The radius of the circle is 5 units
The area of a circle is increasing at a rate of 0.4 cm square per second. What is the rate of change of the circumference of the circle when its radius is 5cm?
Answer: 4π cm^2/minute
Step-by-step explanation:
Rate of change :
Change with respect to time (dr/dt)
dr/dt = 0.4cm^2/s
r = 5cm
The rate of change when the Radius is 5cm
Area / Circumference of a circle (A) = πr^2
From chain rule of differentiation:
dA/dt = (dr/dt) * (dA/dr)
If A = πr^2
dA/dr = 2πr
dA/dr = 2π * 5 = 10π
However,
dA/dt = (dr/dt) * (dA/dr)
dA/dt = (0.4) * (10π)
dA/dt = 4π cm^2/minute
Please answer this question now
Answer:
[tex] Area = 538.5 m^2 [/tex]
Step-by-step Explanation:
Given:
∆XVW
m < X = 50°
m < W = 63°
XV = w = 37 m
Required:
Area of ∆XVW
Solution:
Find side length XW using Law of Sines
[tex] \frac{v}{sin(V)} = \frac{w}{sin(W)} [/tex]
W = 63°
w = XV = 37 m
V = 180 - (50+63) = 67°
v = XW = ?
[tex] \frac{v}{sin(67)} = \frac{37}{sin(63)} [/tex]
Cross multiply
[tex] v*sin(63) = 37*sin(67) [/tex]
Divide both sides by sin(63) to make v the subject of formula
[tex] \frac{v*sin(63)}{sin(63)} = \frac{37*sin(67)}{sin(63)} [/tex]
[tex] v = \frac{37*sin(67)}{sin(63)} [/tex]
[tex] v = 38 [/tex] (approximated to nearest whole number)
[tex] XW = v = 38 m [/tex]
Find the area of ∆XVW
[tex] area = \frac{1}{2}*v*w*sin(X) [/tex]
[tex] = \frac{1}{2}*38*37*sin(50) [/tex]
[tex] = \frac{38*37*sin(50)}{2} [/tex]
[tex] Area = 538.5 m^2 [/tex] (to nearest tenth).
At which value in the domain does f(x)=0? On a coordinate plane, a function goes through the x-axis at (negative 2.5, 0), (negative 0.75, 0), (0, negative 3), and (1, 0).
Answer:
The values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.
Step-by-step explanation:
Since we are given the points (-2.5,0), (-0.75, 0), (0, -3) and (1,0) where the coordinates are in ordered pairs of (x, y) where y = f(x).
To find the values in the domain where f(x) = 0, we look at the ordered pairs given.
We look for the pair in which f(x) = 0.
So f(x) = 0 in (-2.5, 0)
f(x) = 0 in (-0.75, 0)
and f(x) = 0 in (1, 0)
The corresponding values of x in which f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.
So, the values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.
Answer:
C. [tex]x=1[/tex]
Step-by-step explanation:
When x is 1, y is 0.
Express 15 degrees in Radian measure.
Answer:
Formula 15° × π/180 = 0.2618rad
0.261799
Step-by-step explanation:
Answer:
1 /12 pi
Step-by-step explanation:
To convert degrees to radians, multiply by pi/ 180
15 * pi/ 180
1 /12 pi
[tex]( \frac{1 + i}{1 - i} ) {}^{2} [/tex]
Please tell me the answer i need help
Answer:
- 1
Step-by-step explanation:
Given
( [tex]\frac{1+i}{1-i}[/tex] )²
= [tex]\frac{(1+i)^2}{(1-i)^2}[/tex]
= [tex]\frac{(1+i)(1+i)}{(1-i)(1-i)}[/tex] ← expand numerator/ denominator using FOIL
= [tex]\frac{1+2i+i^2}{1-2i+i^2}[/tex] ← simplify using i² = - 1
= [tex]\frac{1+2i-1}{1-2i-1}[/tex]
= [tex]\frac{2i}{-2i}[/tex]
= - 1
Help please!!!!!thxxxx
Answer:
144
Step-by-step explanation:
An angle of a regular pentagon is of 180(5-2)/5=108°
and that all the sides are equal so angle MNL=108/3=36
then MNK=180-MNL=180-36=144
I don't know if you understand this but it's hard to work without more points :)
Please Help! Two lines, A and B, are represented by the following equations: Line A: y = x − 1 Line B: y = −3x + 11 Which of the following options shows the solution to the system of equations and explains why? (3, 2), because the point does not lie on any axis (3, 2), because one of the lines passes through this point (3, 2), because the point lies between the two axes (3, 2), because both lines pass through this point
Answer:
The last choice (3,2), because both lines pass through this point.
Step-by-step explanation:
For a point to be a solution to a system of linear equations, both equation's lines have to pass through that same point.
Answer: (3, 2), because both lines pass through this point
Step-by-stepexplanation:
This can be solved by substitution. The graph will show the same result.
What is the simplified form of y^2+7y+12/y^2-2y-15? Choices:
Answer:
[tex] \frac{y + 4}{y - 5} [/tex]Option C is the correct option
Step-by-step explanation:
[tex] \frac{ {y}^{2} + 7y + 12}{ {y}^{2} - 2y - 15 } [/tex]
Write 7y as a sum
[tex] \frac{ {y}^{2} + 4y + 3y + 12}{ {y}^{2} - 2y - 15} [/tex]
Write -2y as a difference
[tex] \frac{ {y}^{2} + 4y + 3y + 12}{ {y}^{2} + 3y - 5y - 15} [/tex]
Factor out y from the expression
[tex] \frac{y(y + 4) + 3y + 12}{ {y}^{2} + 3y - 5y - 15 } [/tex]
Factor out 3 from the expression
[tex] \frac{y(y + 4) + 3(y + 4)}{ {y}^{2} + 3y - 5y - 15 } [/tex]
factor out y from the expression
[tex] \frac{y(y + 4) + 3(y + 4)}{y(y + 3) - 5y - 15} [/tex]
Factor out -5 from the expression
[tex] \frac{y(y + 4) + 3(y + 4)}{y(y + 3) - 5( y + 3)} [/tex]
factor out y + 4 from the expression
[tex] \frac{(y + 4)(y + 3)}{y(y + 3) - 5(y + 3)} [/tex]
Factor out y + 3 from the expression
[tex] \frac{(y + 4)(y + 3)}{(y + 3)(y - 5)} [/tex]
Reduce the fraction with y + 3
[tex] \frac{y + 4}{y - 5} [/tex]Hope this helps..
Best regards!!
Miriam is setting up a fishing game in a kiddie pool for her niece's birthday party. The pool has a circular base with a diameter of 4 feet and a height of 0.75 feet. She wants to fill the pool halfway so there is plenty of space left for the plastic fish. Approximately how many cubic feet of water does she need? 9.4 1.5 2.4 4.7
Answer:
4.7 feet³ of water
Step-by-step explanation:
Diameter of 4 feet
Radius = 2 feet
Height = 0.75 feet
Formula for Volume = 2·[tex]\pi[/tex]·radius·height
But she only wants to fill half, so divide by 2, cancels the 2 in the formula for volume, giving us: [tex]\pi[/tex]·radius·height
[tex]\pi[/tex]·2·0.75 = 4.71 feet³
Directions: For
1.what is the square root
361
Answer:
√361=19
Step-by-step explanation:
An umbrella has 8 ribs which are equally spaced (see fig.). Assuming umbrellato
be a flat circle of radius 45 cm, find the area between the two consecutive ribs of
the umbrella.
Answer:
Yes.
Step-by-step explanation:
You are correct except to the nearest hundredth it is 795.54 cm^2.
Give the digits in the tens place and the tenths place.
12.05
A current of 2.5 A delivers 3.5 of charge
1 Ampere = 1 Coulomb of charge per second
2.5 A = 2.5 C of charge per second
Time to deliver 3.5 C of charge = (3.5 C) / (2.5 C / sec)
Time = (3.5 / 2.5) (C / C-sec)
Time = 1.4 sec
A current of 2.5 A delivers 3.5 C of charge in 1.4 seconds.
can someone please help me
Answer:
3x^2 + 3/2 x -9
Step-by-step explanation:
f(x) = x/2 -3
g(x) =3x^2 +x -6
(f+g) (x) = x/2 -3 + 3x^2 +x -6
Combine like terms
= 3x^2 + x/2 +x -3-6
= 3x^2 + 3/2 x -9
Find the volume of the cuboid which length is 10cm, breadth is 8cm and height is 7cm. Who answers first gets brainliest answer
Answer:
560cm
Step-by-step explanation:
Volume = Length × Breadth × Height
= 10 × 8 × 7
= 560 cm³
Answer:
Step-by-step explanation:
Volume =length x breadth x height
10 x 8 x 7=560cm^3
How many 5-digit palindromes contain only even digits?
Answer:
400
Step-by-step explanation:
There are 400.
Assuming the number must be at least 10,000, then:
In a 5 digit palindrome, the first and last digits must be the same, and the second and fourth digits must be the same; and:
For the first and last digit there is a choice of 4 digits {2, 4, 6, 8};
For each of these there is a choice of 10 digits {0, 1, ..., 9} for the second and fourth digits;
For each of the above choices these is a choice of 10 digits {0, 1, ..., 9} for the third digit;
Making 4 x 10 x 10 = 400 possible even 5 digit palindromes.
Which expression is equivalent to x^2 • x^3?
Answer:
x^5
Step-by-step explanation:
x^2 . x^3
x^(2+3)
x^5
abby owns a square plot of land. she knows that the area of the plot is between 2200 and 2400 square meters. which of the following answers is a possible value for the side length of the plot of land?
Answer:
48
Step-by-step explanation:
The formula for the area of a square is A = s². Plug in each value and see if is in between 2200 and 2400.
A = s²
A = (46)²
A = 2116
A = s²
A = (48)²
A = 2304
A = s²
A = (50)²
A = 2500
A = s²
A = (44)²
A = 1936
The only value that fits in between 220 and 2400 is 48.
what is the midpoint of the segment shown below (2 2) (3 5) a. (5/2, 7/2) b. (5, 7) c. (5/2, 7) d. (5, 7/2)
Answer:
[tex]( \frac{5}{2} \: , \frac{7}{2} )[/tex]Option A is the correct option.
Step-by-step explanation:
Let the points be A and B
A ( 2 , 2 ) ------> ( x1 , y1 )
B ( 3 , 5 ) -------> ( x2 , y2)
Now, let's find the mid-point :
Midpoint = [tex] (\frac{x1 + x2}{2} \:, \frac{y1 + y2}{2} )[/tex]
plug the values
[tex] = ( \frac{2 + 3}{2} \: , \frac{2 + 5}{2} )[/tex]
Calculate the sum
[tex] = \: ( \frac{5}{2} \:, \frac{7}{2} )[/tex]
Hope this helps..
Best regards!!
the diagrams shows a right-angled triangle. find the size of angle x. give your answer correct to 1 decimal place.
Answer:
1. 40.8 degrees
2. 65.6 degrees
Step-by-step explanation:
1.
sin(x) = opposite / hypotenuse = 17/26
x = arcsin(17/26) = 40.83 degrees
2. tan(x) = opposite / adjacent = 11/5 = 2.2
x = arctan(11/5) = 65.56 degrees
(Math never got easier!) No seriously help:)
Answer:
Step-by-step explanation:
cosФ=0 then the angle=π/2=90 degrees
sinФ==1 sin 90=1
12) the original price of the console that Amanda bought :
240+(240*50%)=360 dollars
the price before the tariffs:
360-(360*50^)=180 dollars
Question 7(Multiple Choice Worth 1 points)
(06.02 MC)
The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of n?
40nt in
43n in
O
100nt in
108n in
Hey there! I'm happy to help!
I assume that n is supposed to be π. To find the volume of a cone, you multiply the base by the height and then divide by three.
First, we find the area of the base, which is a circle. To find the area of a circle, you square the radius and multiply by π.
5²=25
And we multiply by π.
25π
Now we multiply by the height.
25π×13=325π
We divide by three.
325π/3≈108π
Therefore, the answer is 108π in.
Have a wonderful day! :D
The table shows the number of flowers in four bouquets and the total cost of each bouquet. A 2-column table with 4 rows. The first column is labeled number of flowers in the bouquet with entries 8, 12, 6, 20. The second column is labeled total cost (in dollars) with entries 12, 40, 15, 20. What is the correlation coefficient for the data in the table? –0.57 –0.28 0.28 0.57
Answer:
The correct option is;
0.28
Step-by-step explanation:
The given data values are;
x, f(x)
8, 12
12, 40
6, 15
20, 20
Where;
x = The number of flowers in the bouquet
f(x) = The total cost (in dollars)
The equation for linear regression is of the form, Y = a + bX
The formula for the intercept, a, and the slope, b, are;
[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]
[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]
Where:
N = 4
∑XY = 1066
∑X = 46
∑Y = 87
∑X² = 644
(∑X)² = 2116
b = (4*1066 - 46*87)/(4*644 - 2116) = 0.5696
a = (87 - 0.5696*46)/4 = 15.1996
The standard deviation of the x- values
[tex]S_X = \sqrt{\dfrac{\sum (x_i - \mu)^2}{N} }[/tex]
[tex]\sum (x_i - \mu)^2}[/tex] = 115
N = 4
Sx =√(115/4)
Sx = 5.36
[tex]S_Y = \sqrt{\dfrac{\sum (y_i - \mu_y)^2}{N} }[/tex]
[tex]\sum (y_i - \mu_y)^2}[/tex] = 476.75
N = 4
Sy =√(476.75/4)
Sy= 10.92
b = r × Sy/Sx
Where:
r = The correlation coefficient
r = b × Sx/Sy = 0.5696*5.36/10.92 = 0.2796 ≈ 0.28
The correct option is 0.28.
Answer:
C on edge
Step-by-step explanation:
5 (x+4)=35.please solve it for me
Answer:
3 = x
Step-by-step explanation:
5(x+4) = 35
distribute: 5x + 20 = 35
subtract 20 to both sides
15 = 5x
divide by 5 to make x independent
x=3
quadratic equation grade :9
10 points;)
Answer:
Step-by-step explanation:
put (x+2)/(x-2)=a
a-1/a=5/6
[tex]multiply~by~6a \\6a^2-6=5a\\6a^2-5a-6=0\\6a^2-9a+4a-6=0\\3a(2a-3)+2(2a-3)=0\\(2a-3)(3a+2)=0\\either 2a-3=0,a=3/2 \\\frac{x+2}{x-2} =\frac{3}{2} \\cross~multiply\\3x-6=2x+4\\3x-2x=4+6\\x=10\\[/tex]
[tex]or~3a+2=0\\a=-2/3\\\frac{x+2}{x-2} =-\frac{2}{3} \\3x+6=-2x+4\\3x+2x=4-6\\5x=-2\\x=-2/5[/tex]
2.
put (x+3)/x=a
a+1/a=4 1/4
[tex]a+\frac{1}{a} =\frac{17}{4} \\multiply~by~4a\\4a^2+4=17a\\4a^2-17a+4=0\\4a^2-16a-a+4=0\\4a(a-4)-1(a-4)=0\\(a-4)(4a-1)=0\\either~a-4=0,a=4\\\frac{x+3}{x} =4\\4x=x+3\\4x-x=3\\3x=3\\x=3/3=1\\or\\4a-1=0\\a=1/4\\\\\frac{x+4}{x} =\frac{1}{4} \\4x+16=x\\3x=-16\\x=-16/3[/tex]
Help please thanks don’t know how to do this
Answer:
a = 11.71 ; b = 15.56
Step-by-step explanation:
For this problem, we need two things. The law of sines, and the sum of the interior angles of a triangle.
The law of sines is simply:
sin(A)/a = sin(B)/b = sin(C)/c
And the sum of interior angles of a triangle is 180.
45 + 110 + <C = 180
<C = 25
We can find the sides by simply applying the law of sines.
length b
7/sin(25) = b/sin(110)
b = 7sin(110)/sin(25)
b = 15.56
length a
7/sin(25) = a/sin(45)
a = 7sin(45)/sin(25)
a = 11.71