question 2.
the center of a circle is located at (5,2) and a point in the circle is (-3,4) what is the radius of the circle?
Answers
Answer:
ss
Step-by-step explanation:
sas
The radius of the circle who center is at ( 5 , 2 ) and the point on the circle is ( -3 , 4 ) is given by r = 2√17 units
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the radius of the circle be r
Let the center of the circle be A ( 5 , 2 )
Let the point on the circle be P ( -3 , 4 )
Now , standard form of a circle is
( x - h )² + ( y - k )² = r²
So , r² = ( 5 - ( -3 ) )² + ( 2 - 4 )²
On simplifying the equation , we get
r² = ( 8 )² + ( 2 )²
r² = 64 + 4
r² = 68
Taking square roots on both sides , we get
r = √68
r = 2√17
Hence , the radius of the circle is 2√17 units
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Related Questions
Determine f(a+h)-f(a)/h for f(x)=x^2+5x
Answers
Answer:
2x + 5
ok.. slightly silly question...
you will eventually learn that this formula is the
formula for the "derivative" in calculus....
A[tex]x^{b}[/tex] becomes (a*b) [tex]x^{b-1}[/tex]
2x + 5
Step-by-step explanation:
If the first three Fibonacci numbers are given as [tex]x_{1} =1[/tex], [tex]x_{2}=1[/tex] and [tex]x_{2} = 2[/tex], what is the value of n for which [tex]x_{n} + x_{n+1}=55[/tex]? (see attachment)
Answers
Answer:
n = 8
Step-by-step explanation:
Continuing the sequence using
[tex]x_{n}[/tex] + [tex]x_{n+1}[/tex]
x₄ = x₂ + x₃ =1 + 2 = 3
x₅ = x₃ + x₄ = 2 + 3 = 5
x₆ = x₄ + x₅ = 3 + 5 = 8
x₇ = x₅ + x₆ = 5 + 8 = 13
x₈ = x₆ + x₇ = 8 + 13 = 21
x₉ = x₇ + x₈ = 13 + 21 = 34
x₁₀ = x₈ + x₉ = 21 + 34 = 55 ← with n = 8
Answer:
The Fibonacci numbers are
1
1
2
3
5
8
13
21
34
55
The eighth Fibonacci Number is 21, the ninth is 34 and the tenth is 55.
So Fibonacci # 8 + Fibonacci Number #9 = Fibonacci# 10
21 + 34 = 55
If you want to read a little bit more about Fibonacci numbers, try this page: http://www.1728.org/fibonacci.htm
that's my website :-)
Step-by-step explanation:
Find the length of "b" to the nearest tenth.
Answers
Answer:
11.2
Step-by-step explanation:
(AB) ^2 - (BC) ^2 = b^2 (Pythogoras Theorem)
(15)^2 - (10)^2 = (b) ^2
b^2=225-100
b^2=125
b=root (125)
b=11.18
b=11.2
In Ethiopia there are 20 premier league soccer teams.
a) In one round how many games are there ?
b) If five of the teams represent one company, find the number of ways pairs of teams representing different companies can play a game.
Answers
Answer:
In A Premier League there are 20 soccer teams.
(a)In One Round How Many Games Are There?
20 choose 2 = 20C2 = 190
(b) If five of the teams represent one company, find the
number of ways pairs of teams representing different companies
can play the game.
So there are 4 companies, each having 5 teams.
4 companies choose 2 = 4C2 = 6 ways
Choose a team of the company that's, say, been in business the
longest.
5 teams choose 1 = 5C1 = 5 ways
Choose a team of the other company,
5 teams choose 1 = 5C1 = 5 ways
Answer 6*5*5 = 150 ways.
I have a bag of coins.In it, one third is gold, one fifth of them are silver, two seventh are bronze the rest are copper. My bag can only fit 200 coins how many coins do i have in my bag?
Answers
Answer:
Copper = x= 36.19
Step-by-step explanation:
The number of copper is unknown
Gold = 1/3
Silver = 1/5
Bronze =2/7
Copper = x
Total coins = 200
Gold = 1/3 of 200
= 1/3 × 200
= 200/3
= 66.67
Silver = 1/5 × 200
= 200/5
= 40
Bronze = 2/7 × 200
= 400/7
= 57.14
Total = gold + silver + bronze + copper
200 = 66.67 + 40 + 57.14 + x
200 = 163.81 + x
200 - 163.81 = x
x = 36.19
Copper = x= 36.19
A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = - 16t^2 + 48t where t equals the time in seconds and the h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent? Help please!!!
Answers
Answer:
x = 3/2
The axis of symmetry is located at the vertex,
which is the also the highest point in this problem...
the x component of the vertex can be calculated as -b/2a = -48/-32 = 24/16 = 6/4 = 3/2
x = 3/2
Step-by-step explanation:
Plzzz help me with thiss
Answers
Answer:
Step-by-step explanation:
rather than doing all of the sums, you should just learn the formula (for the pattern)
it is n(highest + lowest) where n is number of numbers
2
for example 2+3+4+5+6 = 20
5(6+2) = 20
2
~~~~~~~~~~~~~~~~~~~~
1+2+3+4+5+6+7+8 = 36
8(9) = 72/2= 36
2
Mr cruz is computing his monthly electrical consumption.Basedon his electric bill last month he was able to consume 00150kWh. When he checked his digital electric meter at present, the reading is 00200 kWh. How may killowats hour did Mr dela cruz consume this month? If the minimum charge for the first 10 kWh is P210.00 and the succeding consumed kWh costs P10, how much is Mr. Cruz total bill?
Answers
Answer:
610$
Step-by-step explanation:
According to the Question,
Based on his electric bill last month he was able to consume 150kwh. When he checked his digital electric meter at present, the reading is 200 kwh .Thus , Mr. Cruz Consumes 50kwh in this month .
Given, the minimum charge for the first 10 kWh is $210 . & the succeeding consumed kWh costs $10 .
The Total Bill Of Mr. Cruz is ⇒ 210 + (50-10)×10 ⇔ 610$
PLEASE HELP!!!!!!!!!!!!!
Answers
Answer:
[tex]\text{C. }\pm \frac{1}{2}[/tex]
Step-by-step explanation:
Start by moving the 2 to the right (so we can multiply both sides by the denominator):
[tex]\frac{1}{2x^2-1}=-2[/tex]
Multiply both sides by [tex]2x^2-1[/tex]:
[tex]1=-2(2x^2-1),\\1=-4x^2+2[/tex]
Move everything to one side:
[tex]4x^2-2+1=0,\\4x^2-1=0,\\4x^2=1,\\x^2=\frac{1}{4},\\x=\boxed{\pm\frac{1}{2}}[/tex]
Answer:
the answer for this is C.
I’ll give brainliest to whoever gets it right. Find the surface area of this prism.
Round to the nearest tenth.
6.72 cm
5.78 cm
12.7 cm
[ ? ]cm
Answers
Answer:
493.29[tex]cm^2[/tex]
Step-by-step explanation:
Multiply all values (6.72, 5.78, and 12.7) together, then round to the nearest tenth.
It's urgent i need help someone help me!
Answers
Answer:
x=50, y=20
Step-by-step explanation:
50-20=30, 50+20=70
I need help pls answer:
Express in simplest form:
4(X^2-1)-(X^2-8x-5)
Answers
Answer:
3x² + 8x + 1
Step-by-step explanation:
Given
4(x² - 1) - (x² - 8x - 5) ← distribute both parenthesis
= 4x² - 4 - x² + 8x + 5 ← collect like terms
= 3x² + 8x + 1
Solve for CD using the following image
Answers
Here,
BC = 12
CD+BD=12
2x-9+x-9 =12
3x-18 12
3x =12+18
x =30/3
x =10
Now,
CD = 2x-9
= 2×10-9
= 20-9
= 11
Therefore,CD = 11
Hope this solution may help you!!☺
The value of the segment CD is 11 units for the given line segment.
A line segment is a fundamental geometric object that represents a portion of a straight line with defined endpoints. It is a finite portion of a line that connects two distinct points. The endpoints of a line segment are specific points that mark its boundaries.
From the given image the value of x will be calculated as,
CD + DE = 12
(2x - 9 ) + ( x - 9 ) = 12
3x - 18 = 12
3x = 30
x = 10
The measure of the segment CD is,
CD = 2x - 9
CD = 2(10) - 9
CD = 20 - 19
CD = 11
Therefore, the value of the segment is 11.
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What is the volume of the cone below?
A. 852 units
B. 3408 units
C. 10,224 units
D. 5112 units
Answers
Answer:
B. 3408pi
Step-by-step explanation:
formula volume of cone = 1/3 x pi x r x r x h
volume = 1/3 x pi x 12 x 12 x 71
= 3408pi
The volume of the cone is approximately 10,224 cubic units.
Option C is the correct answer.
What is a cone?It is a shape of a christmas tree where there is a base of radius r and a top point called the apex.
The volume of a cone is V = (1/3)πr²h,
We have,
The formula for the volume of a cone is V = (1/3)πr²h,
where r is the radius of the base of the cone, h is the height of the cone, and π is a constant approximately equal to 3.14.
Substituting the given values, we get:
V = (1/3)π(12²)(71)
V = (1/3)π(144)(71)
V = (1/3)(3.14)(144)(71)
V = 10,223.04
Rounding this answer to the nearest whole number, we get:
V ≈ 10,224
Therefore,
The volume of the cone is approximately 10,224 cubic units.
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20 PTS!! Which best describes the relationship between the line that passes through the points (1, -6) and (3,-2) and the line that
passes through the points (4, 8) and (6, 12)?
A. parallel
B. neither perpendicular nor parallel
C. same line
D. perpendicular
Answers
Answer:
A
Step-by-step explanation:
Lines are parallel...
Will give branliest
Find l.
l= [?] in
Answers
h=15 and r= d/2= 12/2= 6
So, (15^2+6^2)=
225+36= 261
L= Square Root of [261] in
Calculate the compound interest a saleswoman would have to pay if she borrows
$54 000 for 9 years at 12% per annum compound interest.
Answers
Given:
Principal = $54,000
Time = 9 years
Rate of compound interest = 12% per annum.
To find:
The compound interest.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of time interest compounded and t is the number of years.
The interest is compounded annually, so [tex]n=1[/tex].
Substituting [tex]P=54000,\ t=9,\ n=1,\ r=0.12[/tex] in the above formula, we get
[tex]A=54000\left(1+\dfrac{0.12}{1}\right)^{1(9)}[/tex]
[tex]A=54000\left(1.12\right)^{9}[/tex]
[tex]A=149746.252902[/tex]
[tex]A\approx 149746.25[/tex]
The amount after 9 years is $149746.25.
Now, the compound interest is:
[tex]C.I.=A-P[/tex]
Where, C.I. is compound interest, A is amount and P is principal.
[tex]C.I.=149746.25-54000[/tex]
[tex]C.I.=95746.25[/tex]
Therefore, the compound interest is $95746.25.
8. The confectionary company "Sugary Sweet" wants to test how sweet and flavorful their participants like their candy. They manipulated three levels of sugar and also two levels of flavor in the candy for their participants to score their preference. State the hypotheses for their study.
Answers
Solution :
It is given that a company named "Sugary Sweet" wishes to test about the sweet and the flavorful that their participants like the candy.
There are Two levels of the flavor and three levels of sugar.
Thus it is a Two Way ANOVA test.
A two-way ANOVA test is used to test the effect of any two independent variables on the dependent variable.
[tex]$H_{01} : \text{Mean effect of the sugar are equal}$[/tex]
[tex]$H_{02} : \text{Mean effect of the flavor are equal}$[/tex]
[tex]$H_{01} : \text{There is no interaction between the sugar and the flavor}$[/tex]
find the slope of the line (-5,7) (-3,4)(-1,1)(1,-2)
Answers
Answer:
-3 is the gradient.
BONUS: y-interspet is -1
Step-by-step explanation:
The gradient is what you mean by slope I am guessing?
well, the line that contains those points will more or less look like the one in the picture below, and we can use any two points from that set to get its slope, say hmmmmm let's use (-5,7) and (1,-2)
[tex](\stackrel{x_1}{-5}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-5)}}}\implies \cfrac{-9}{1+5}\implies \cfrac{-9}{6}\implies -\cfrac{3}{2}[/tex]
In a village of 1210 people, the ratio of men to women is 6: 5. Find the number of men and women.
Answers
Answer:
Men = 660
Women = 550
Step-by-step explanation:
Say the total number of people = x = 1210
Then men = 6/11 x = 660
And women = 5/11x = 550
.can somebody help me.with this question
Answers
Answer:
4 and 16
Step-by-step explanation:
Find the mode of the data
Answers
Answer:
[tex]mode = l _{1} + ( \frac{d _{1} }{d _{1} + d _{2}} ) \times c \\ \\ = 6.5 + (\frac{50}{50 + 88} ) \times 3 \\ = 7.59[/tex]
Sophie is buying fabric to make items for a craft fair. The table shows some combinations of how much of each color fabric she might buy. Which equations model the total yards of fabric Sophie will buy
Answers
Answer:
15
Step-by-step explanation:
u add up that then u get the answet
Zach bought a car for $20,000. He
paid a $5,000 down payment and
will pay $450 per month for 5
years. What type of liability is this
for Zach?
A. liquid
B. long-term
C. short term
D. budget
Answers
Answer:
The correct answer is B. Long-term.
Step-by-step explanation:
Since Zach has bought a car for $ 20,000 paying a down payment of $ 5,000 and monthly payments of $ 450 per month for 5 years, he will be paying a total of $ 32,000 for that car (5,000 + 450 x 12 x 5). Thus, the responsibility that Zach has incurred forces him to maintain his monthly payment obligation for 5 years, thus becoming a long term liability.
Please help
Expand 3(2x+1)
Answers
Answer:
6x + 3
Step-by-step explanation:
3(2x + 1)
=3*2x + 3*1
=6x + 3
What is the slope of (-2,2) (-4,-4)
Answers
Answer:
3
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
(-4-2)/(-4--2)
-6/-2
3
Answer:
to find slope we use the following methods
Step-by-step explanation:
given
X1 -2
X2= -4
Y1= 2
Y2= -4
slope=y2-Y1 ÷X2-X1
= -4-2÷ -4-(-2)
=-6 ÷-4+2
= -6÷-2
= 3
slop of (-2,2) (-4,-4) = 3
Use the drawing tools to form the correct answer on the graph
Graph the line that represents this equation:
y +2 = 1/2 (x + 2)
Answers
Step-by-step explanation:
answer is in photo above
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is constant.
The graph of the line y +2 = 1/2 (x + 2), can be drawn as shown below. Therefore, the line will be a straight line passing through (0,-1) on the y-axis, and (2,0) on the x-axis.
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is (6,3) a solution to this system of equations y=3x - 3 3x - y =3
Answers
Answer:
It is not a solution
Step-by-step explanation:
Plug the point into the equations and check to see if they are true
y=3x - 3
3 = 3(6) -3
3 = 18-3
3 = 15
False
We do not need to check the other equation since this is false
The capacity of a fuel tank is 45 litres. Find its
volume.
Answers
Answer:
45000 cubic cm
Step-by-step explanation:
Capacity of the fuel tank
= 45 litres
= 45/1000 = 0.045 cubic meters
Or 45* 1000 = 45000 cubic cm
what fraction of 42 is 6
Answers
The fraction of 42 that is 6 is mathematically given as
42*1/7
What fraction of 42 is 6?Generally, the equation for the statement is mathematically given as
42/x=6
Therefore
x=42/5
x=7
In conclusion, The fraction of 42 that is 6 is
42*1/7
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