(x-5)*2 +(y-4)*2=25
Explanation
Equation of circle is (x-a)*2 + (y-b)*2=r*2
Expand equation to get
x*2 - 2ax + y*2- 2by+ b*2= 0
Then take the points and put them into the equation
You will then have two equations
Solve them simultaneously to find a and b
Where a= 5 and b = 4
After put it back to the equation of the circle
What is the length of segment GH?
On a coordinate plane, line G H has points (0, negative 3), (8, 1).
Answer:
4 sqrt(5)
8.94427191
Step-by-step explanation:
We want to find the length ( or distance) between the two points
d = sqrt( (x2-x1)^2 + (y2-y1)^2)
= sqrt( (8-0)^2 + (1 - -3)^2)
= sqrt( (8)^2 + (4^2)
= sqrt( 64+16)
sqrt( 80)
sqrt(16) sqrt(5)
4 sqrt(5)
8.94427191
Answer:
4sqrt(5)
Step-by-step explanation:
Length² = (-3-1)² + (0-8)²
Length² = 16 + 64
Length² = 80
Length = 4sqrt(5)
sqrt: square root
The cut wedge represents one-eighth of the cheese. A. Find the surface area of the cheese before it is cut in terms of π ,rounded to the nearest whole number, and as a decimal, round to the nearest tenth. The surface area of the cheese before it is cut is π , or about in.2 2 . B. Find the surface area of the remaining cheese after the wedge is removed. Round the estimated portion of the answer to the nearest whole number. The surface area of the remaining cheese after the wedge is removed is about square inches. Question 2 Did the surface area increase, decrease, or remain the same? Response - correct The surface area decreased.
Answer:
A. The surface area of the cheese is 24·π in.² or 75.40 in.²
B. The surface area of the remaining cheese after the wedge is removed is about 72 in.²
2. The surface area decreased
Step-by-step explanation:
From the figure attached to a similar question, we have;
Radius, r of cheese = 3 in.
Height, h of the cheese = 1 in.
A. The surface area of the cheese is equal to the area of two circles, one on top and the other underneath added to the surface area of the sides which is equivalent to the surface area of a cylinder given by the relation
Surface area of the cheese = 2×π×r² + 2×π×r×h
∴ Surface area of the cheese = 2×π×3² + 2×π×3×1 = 24·π in.²
Surface area of the cheese = 24·π = 75.398 ≈ 75.40 in.² to the nearest 10th
B. The surface area of the remaining cheese after the wedge is removed is found by first subtracting the cut wedge from the total surface area as follow
Outer surface area of cut wedge = 24·π÷8 = 3·π
New outer surface area = Total surface area - Removed outer surface area
∴ New outer surface area = 24·π - 3·π = 21·π
New total surface area = New outer surface area + Area of newly exposed segment
Area of newly exposed segment = 3 × 1 × 2 = 6 in.²
∴ New total surface area = (21·π + 6) in.² = 71.9734 in.² ≈ 72 in.²
The surface area of the remaining cheese after the wedge is removed is about 72 in.²
2. The surface area decreased.
Answer:
A. The surface area of the cheese is 24·π in.² or 75.4 in.² B. The surface area of the remaining cheese after the wedge is removed is about 72 in.² 2. The surface area decreased
Step-by-step explanation:
It's 75.4 instead of 75.40, thank me please.
How many different pairings (2 teams playing each other) are possible for the first round of the 64 teams in the NCAA Basketball Tournament?
(without seeding)
Select the best answer from the choices provided.
A. 2016
B. 32
C. 4096
D. 128
Answer:
A
Step-by-step explanation:
To calculate this, we shall be selecting 2 each from a total of 64
This is a combination question and our required answer is 64C2
Mathematically, if we are to select r from n items , the combination can be computed as follows;
nCr = n!/(n-r)!r!
Thus, we have 64C2 as ; 64!(64-2)!2! = 64!/62!2!
= (64 * 63 * 62!)/62!2! = (64 * 63)/2 = 32 * 63 = 2,016 pairings
How is the product of a complex number and a real number represented on the complex plane?
Consider the product of −2+8i and 5.
Answer:
The product of the real and complex number given is -10+40i
Step-by-step explanation:
The general form of a complex number is expressed as z = x+iy where
x is the real part and y is the imaginary part.
Given a complex and a real value as shown
z1 = −2+8i and z2 = 5+i0
Taking their product;
z1z2 = (−2+8i)(5+i0)
z1z2 = -10+0+40i+0
z1z2 = -10+40i
According to the product of the complex numbers, the resulting real part is -10 and the complex part is 40.
The representation on the complex plane is as shown in the attachment.
The complex number −2+8i has modulus of (1. 2√17)
When −2+8i is multiplied by 5, the modulus of the product is (2. 10√17)
Multiplying a complex number by a real number results in a scalar of the complex number. The quadrant location of the complex number and its product with (3. a positive real number) are the same.
The floor of a rectangular living room is 18 feet by 24 feet. What is the distance between opposite corners of the living room?
Answer:
The distance between opposite corners of the living room is 30ft
Step-by-step explanation:
This can be thought of as a right triangle and we want to know its hypotenuse
To calculate one side of a right triangle from the other 2 sides we have to use Pythagoras
h = hypotenuse
a = leg 1 = 18ft
b = leg 2 = 24ft
h² = a² + b²
we replace the known values
h² = (18ft)² + (24ft)²
h² = 324ft² + 576ft²
h² = 900ft²
h = √(900ft²)
h = 30ft
The hypotenuse is 30ft
Fidelity Investments is selling a real estate income mutual fund for $10.94 per share. The fund charges a load of 2.5%. What is the offer price?
Answer:
Step-by-step explanation:
The fidelity investment mutual funds is $10.92 per share.
The fund charges 2.5%.
So, if 2.5% is charged,
Then, 2.5% of the share is
2.5% of $10.92 = 2.5 / 100 × $10.92
2.5% of $10.92 = $0.273
Then, total offer price is 0.273 + 10.92
Therefore, total offer is $11.193
Final answer:
The offer price of the real estate income mutual fund from Fidelity Investments is $11.2135 per share.
Explanation:
The offer price of the real estate income mutual fund from Fidelity Investments can be calculated by adding the load to the selling price per share. In this case, the load is 2.5% of $10.94 per share. To find the load amount, multiply 2.5% by $10.94, which is equal to $0.2735. Then, add the load amount to the selling price per share: $10.94 + $0.2735 = $11.2135.
Subtract: (x^2 + 6x - 8) - (-3x^2 + 2x - 9)
A. 4x^2 + 4x + 1
B. -2x^2 + 4x + 1
C. 4x^2 + 4x + 17
D. 4x^2 + 8x + 17
WILL GIVE BRAINLIST PLZZZ HELPPP
Milton got a paperweight like the one shown below. He needs to fill it with sand to give it weight.
If a = 3 inches, what is the volume of the paperweight?
A.
54 cubic inches
B.
81 cubic inches
C.
108 cubic inches
D.
126 cubic inches
Answer:
B. 81 cubic inches
Step-by-step explanation:
Since this is an irregular 3 dimensional object, I will cut it into a 3 by 3 by 3 cube and a 6 by 3 by 3 rectangular prism.
Solving for the cube:
3*3*3=
9*3=
27 units or in this case inches³
Solving for the rectangular prism:
6*3*3=
18*3=
54 units or in this case inches³
To get the total volume, we need to add the cube and rectangular prism's volume together:
54+27=81 inches³
Our answer is B. 81 cubic inches.
What is the value of
Answer:
61°
Step-by-step explanation:
∠SPQ is a straight line, so it equals to 180°.
∠SPR is 119° and since we're looking for ∠QPR, we subtract 119° from 180°.
180° - 119° = 61°, so ∠QPR = 61°
Answer:
61 degrees
Step-by-step explanation:
Because SPQ is said to be a straight line, we know that a straight line in this kind of equation is equal to 180 degress.
Since we already know the measure to one angle (119), we would need to find the difference between 180 and 119, meaning we'd have to subtract.
(180-119)
Then we would just get the sum, which in this case, is 61 degrees.
What is 8/15÷2/5?What so u think is the best answer for this problem??
Answer:
1 1/3
Step-by-step explanation:
Solve. Change the division sign into a multiplication, and flip the second fraction:
(8/15)/(2/5) = (8/15) x (5/2)
Multiply across:
(8 x 5)/(15 x 2) = (40)/(30)
Simplify. Divide common factors:
(40/30)/(10/10) = 4/3
4/3 or 1 1/3 is your answer.
~
Answer:
1⅓
Step-by-step explanation:
8/15 ÷ 2/5
8/15 × 5/2
(8×5)/(15×2)
4/3
1⅓
Find the midpoint of the line segment with endpoints (6,1) and (4,-5)
Answer:
(5, -2)
Step-by-step explanation:
(6+4)/2 , (1-5)/×
10/2 , -4/2
5 , -2
What is the solution to the system of equations below?
Negative 4 x + 6 y = negative 18 and y = negative 2 x + 21
(9, 3)
(3, 9)
(–9, –9)
(–9, 9)
Answer:
solution: (9, 3) , x = 9, y = 3
Step-by-step explanation:
Negative 4 x + 6 y = negative 18 and y = negative 2 x + 21
convert to algebra.
- 4x + 6y = -18 ;
y = -2x + 21;
let us solve this with elimination
change -4x + 6y = -18 to -2x + 3y = -9
get: -2x + 3y = -9
and 2x + y = 21
add.
-2x + 2x + 3y + y = -9 + 21
4y = 12
y = 3
2x + (3 ) = 21
2x = 18
x = 9
(9, 3)
Answer:
A.(9,3)
Step-by-step explanation:
Mr. Valdez puts $10,000 in a retirement account and does not make any deposits or withdrawals. The table below shows the amount of money in the account after x years.
A 2-column table with 5 rows. The first column is labeled years with entries 0, 10, 20, 30, 40. The second column is labeled amount (dollar sign) with entries 10,000; 16,000; 27,000; 43,000; 70,000.
What values, rounded to the nearest hundredth, complete the exponential regression equation that models the data?
f(x) =
(
)x
Answer:
The answer on edge. is f(x) = 9,974.73 ( 1.05 )x
Step-by-step explanation
Your Welcome ツ
The value that complete the regression equation is f(x) = 9,974.73 ( 1.05)^x.
How to solve for the value
We have the exponential equation as
[tex]y=ab^{x}[/tex]
a is the initial rate
b is the rate
x is 0
y = 10000
When substituted the rate is given as
f(x) = 9,974.73 ( 1.05 )x
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A game room had a floor that is 100 feet by 20 feet. A scale drawing of the on the grid paper used a scale of 4units:5 feet. What are the dimensions of the scale drawing?
Answer:
80 units by 16 units
Step-by-step explanation:
4 units : 5 feet
X units : 20 feet
Y units: 100 feet
X/20 = 4/5
X = 20 × 4/5
X = 16
Y/100 = 4/5
Y = 100 × 4/5
Y = 80
A plumber charges $30 for a service call and an additional $25 per hour. Write an equation in slope-intercept form to represent the cost of service, C, for h hours of service. Then find the cost if the plumber worked 7 hours on a project.
Answer:
The equation is c=25h+30 and the answer is 205
Step-by-step explanation:
Plug in 7 for h.
What is the concentration of 20 mL of LiOH if it is neutralized by 60 mL of 4 M HCl?
Answer:
The concentration is 12M
Step-by-step explanation:
In this question, we are asked to calculate the concentration of the alkali given the information in the question.
To answer this question correctly, the first thing to do is to write the complete chemical equation of the reaction of the acid and the alkali. We identify that LiOH is the alkali and HCl is the acid
LiOH + HCl ———-> LiCl + H2O
we can deduce that 1 mole of the acid used up a mole of the base.
Now, we use the titration formula;
CaVa/Na. = CbVb/Nb
since Na= Nb = 1 i.e number of moles , we can just write the formula to be
CaVa. = CbVb
Where Ca is the concentration of the acid which is 4M
Va is the volume of acid used which is 60mL
Cb is the concentration of the base which is ?
Vb is volume of base which is 20mL
Plugging these values, we have;
4 * 60 = Cb * 20
Cb = 240/20
Cb = 12M
The concentration of the base is thus 12M
The date of death for a widow was 2019. If the estate was valued at $2,186,000 and the estate was taxed at 40 percent, what was the heir's tax liability? Use Exhibit 19-6 for Estate Exemption.
Answer:
Value of tax liability will be zero
Step-by-step explanation:
Given:
Total estate value = $2,186,000
Estate tax = 40 %
Find:
Heir's tax liability = ?
Computation:
Total taxable estate = Total estate value - Estate Exemption
Note: According to Exhibit 19-6 for Estate Exemption, Estate Exemption is 11.4 million.
We know that Estate Exemption is higher than total estate value, therefore will be no tax liability on the successor, so the value of tax liability will be zero.
Circletown's limits form a perfectly circular shape. It has a population of 20000 and a population density of 480 people per square kilometer.
What is Circletown's radius?
Answer:
r = 3.64 km
Step-by-step explanation:
Given the following information:
population of the town: 20000 people population density : 480 people per square kilometer=> The area of the town is:
= Total population / population density per square kilometer
[tex]A = \dfrac{20000}{480}[/tex]
[tex]A = 41.667\ km^2[/tex]
As we know, the formula used to find the area of a circle is:
A = π[tex]r^{2}[/tex]
In this situation, we already knew the area of the town
<=> A = π[tex]r^{2}[/tex] = 41.776
<=> [tex]r^{2}[/tex] = 41.776 / 3.14
<=> r = 3.64 km
So the radius of the town is 3.64 km
Answer:
3.64
Step-by-step explanation:
Please find the diameter for the cone. Round your answer to the nearest tenth. :)
Answer:
r = 0.9 in.
Step-by-step explanation:
the volume equation of a cone is πr^2h/3 in this case you have the volume and the height measurements but youre missing the radius, so you have to divide the volume by the rest of the equation and backtrack and when you do, you get a radius value of 0.9
Please mark brainliest :)
A trapezoid has base lengths of 4 and 19 feet, with an area of 115 square feet.What is the height of the trapezoid? *
Your answer
Answer:
10 ft
Step-by-step explanation:
area of trapezoid = (B + b)h/2
where B and b are the lengths of the bases, and h is the height.
A = (B + b)h/2
115 = (19 + 4)h/2
230 = 23h
23h = 230
h = 10
Answer: 10 ft
The height of the trapezoid with base lengths of 4 and 19 feet and an area of 115 square feet is 10 feet.
What is a Trapezoid?A trapezoid is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.
The area of a trapezoid is given as half of the product of the height(altitude) of the trapezoid and the sum of the length of the parallel sides.
[tex]\rm{ Area\ of\ trapezoid = \dfrac{1}{2} \times Height \times(Sum\ of\ parallel\ sides)[/tex]
The area of a trapezoid is given as half the product of the sum of the parallel sides and the height of the trapezoid.
The length of the parallel sides of the trapezoid is 4 and 19 feet, while the area of the trapezoid is 115 square feet. Therefore, the height of the trapezoid is,
115 ft² = 0.5 × (4 ft + 19 ft ) × height
115 ft² = 0.5 × 23 ft × height
height = (115 ft²)/ (0.5 × 23 ft)
height = 10 feet
Hence, the height of the trapezoid is 10 feet.
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6 people sharing 40 lbs of gold evenly. How many do they get? Then subtract 1 2/3 from the result of the problem above & simplify completely. Please help cause it's not accepting what I have
Answer: 6
Step-by-step explanation:
Given Data:
Number of people = 6
Amount of Gold to be shared = 40lbs
Subtract 2/3 from your answer.
Therefore
If six people are to share 40lbs of gold evenly
= 40lbs / 6
Divide through by 2
= 20lbs / 3
= 20lbs / 3 - 2/3
= 18/3
= 6
Each person would get approximately 6lbs of gold
Answer:
1. Each individual gets [tex]6\frac{2}{3}lb[/tex] of gold
2. After subtracting by [tex]1\frac{2}{3}[/tex] , the result is 5
Step-by-step explanation:
Given
Size of Gold = 40 lbs
Number of people = 6
Required
1. Proportion of each individual
2. Subtract [tex]1\frac{2}{3}[/tex] from each proportion
1. Proportion of each individual
To calculate how many each individuals get (in other words, the proportion of each individual), we simply divide the total size of gold by the number of people
Mathematically,
[tex]Proportion = \frac{Total}{People}[/tex]
[tex]Proportion = \frac{40}{6}[/tex]
Reduce fraction to lowest term by dividing numerator and denominator by 2
[tex]Proportion = \frac{20}{3}[/tex]
Convert to mixed fraction
[tex]Proportion = 6\frac{2}{3}[/tex]
Hence each individual gets [tex]6\frac{2}{3}lb[/tex] of gold
2. Subtract [tex]1\frac{2}{3}[/tex] from each proportion
This is represented by
[tex]6\frac{2}{3} - 1\frac{2}{3}[/tex]
Convert both fractions to improper fractions
= [tex]\frac{20}{3} - \frac{5}{3}[/tex]
Find LCM of both fractions
= [tex]\frac{20 - 5}{3}[/tex]
Subtract
= [tex]\frac{15}{3}[/tex]
= 5
Hence, after subtracting by [tex]1\frac{2}{3}[/tex] , the result is 5
The volume of a cube is 2727 cubic units. What is the length of one side of the cube?
3m2 units
379 units
27m2 units
27nº units
Answer:
Step-by-step explanation:
27m2 units
A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per
year, the poster is worth $20.70. Which equation can be used to find the value, y, after x years? (Round money values to
the nearest penny.)
- 10/1 151
Answer:
[tex]y=18(1.15)^x[/tex]
Step-by-step explanation:
The initial value of the poster =$18
Its value increases by 15% each year.
We can model this using the exponential growth function.
[tex]y(x)=y_0\cdot r^x $ where y_0$ is the initial value and r is the growth factor.[/tex]
Growth Factor, r=1+0.15=1.15
Therefore:
[tex]y(x)=18(1.15)^x[/tex]
After 1 year, when x=1
[tex]y(1)=18(1.15)^1=\$20.70[/tex]
This is true.
Therefore, the model is valid and its value, y after x years will be:
[tex]y=18(1.15)^x[/tex]
Answer:
it is A
Step-by-step explanation:
JUST GOT 100% 0N MY QUIZ
Ayúdenme ;----;:
El director de una institución educativa organizó un proyecto de presentación teatral.
El costo de las entradas fue de 30 soles para los adultos y 20 soles para los niños. Si el sábado pasado
asistieron 248 personas y se reunieron 5930 soles, ¿cuántos adultos y cuántos niños respectivamente asis-
tieron a esa función?
Answer:
97 adults and 151 children assisted to that show.Step-by-step explanation:
We are gonna use "dollars" instead of "soles.
According to the problem, tickets cost $30 for adults and $20 for children.
Last Saturday assisted 248 people which gave a total of $5930.
To know the number of adults and children were there, we need to defined a system of equations.
[tex]x+y=248\\30x+20y=5930[/tex]
Where [tex]x[/tex] represents adults and [tex]y[/tex] represents children.
First, we multiply the first equation by -20
[tex]-20x-20y=-4960[/tex]
Then, we sum this equation with the second one
[tex]10x=970\\x=97[/tex]
There were 97 adults.
Now, we use this value to find the other one
[tex]x+y=248\\97+y=248\\y=248-97\\y=151[/tex]
There were 151 children.
Therefore, 97 adults and 151 children assisted to that show.
Are there whole numbers that are not integers
Answer:
No
Step-by-step explanation:
All whole numbers, positive, negative, and 0 are integers.
PLEASE HELP I HAVE A TIME LIMIT 17 Points and Brainlest to who answers first
In isosceles triangle ABC below, what is the value of x? Triangle A B C. Angle A is 28 degrees and angles B And C are x.
A. 28 degrees
B. 76 degrees
C. 122 degrees
D.152 degrees
Answer:
b.) 76
Step-by-step explanation:
A triangles angles will always add up to a total of 180°.Since both angles B and C are x, they have the same value. So to find their value, add the choices to 28 twice until you get 180:
[tex]28+76+76=180[/tex]
Or, you can make and equation. 180 on one side of the equation. On the other side, put both x's (2x) plus the value of angle A:
[tex]2x+28=180[/tex]
Solve for x:
[tex]2x+28-28=180-28\\2x=152\\\\\frac{2x}{2}=\frac{152}{2}\\ x=76[/tex]
Finito.
Use the information to determine the exact trigonometric value sin theta =-1/5, pi
Answer: -2 (sqrt:6)/5
Step-by-step explanation:
Answer:
The answer is -(2 sqroot 6)/(5)
Step-by-step explanation:
Which expression is equivalent to 16a + 24b? (EE1.3)
4(4a + 20b)
8(2a + 3b)
4a(4 + 6b)
8ab(2 + 3)
Final answer:
The equivalent expression to 16a + 24b is 8(2a + 3b) by factoring out the greatest common factor of 8 from both terms.
Explanation:
The expression equivalent to 16a + 24b is 8(2a + 3b). To find this, we can factor out the greatest common factor from the terms in the original expression. Both 16a and 24b have a common factor of 8, which when factored out leaves us with 2a and 3b, respectively, yielding the expression 8(2a + 3b).
What is the approximate circumference of the circle shown below?
Answer:
A. 56.52 cm
Step-by-step explanation:
Formula:
Circumfrence= 2πr
r(radius) = 9 cm
C = 2πr
C = 2 x 3.14 x 9 cm
C = 6.28 x 9 cm
C = 56.52 cm
Circumfrence is 56.52 cm
The circumference of the circle is 56.52cm (A)
Calculating The Circumference Of A Circle.To calculate the circumference of a circle, the formula is Circumference (C) = 2πr.
Where;
radius (r) = 9cm
π = 3.14
Substitute the values into the formula.
C = 2 x 3.14 x 9
C = 56.52 cm
Therefore, the circumference of the circle is 56.52cm (A)
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please help ASAP for 15 points
Identify the equation that describes the line in slope-intercept form.
slope =−3, point (1,4) is on the line
y = −3x + 1
y = −3x + 7
y = −3x + 4
y = −3x − 7
Answer:
b
Step-by-step explanation:
y= -3x+7
Answer:
The answer is option 2.
Step-by-step explanation:
It is given that the slope of the line is -3 so you just have to substitute it into the slope-form equation, y = mx+b where m is gradient and b is y-intecept. In order to find b value, you have to put in the coordinates :
[tex]y = mx + b[/tex]
Let m = -3,
[tex]y = - 3x + b[/tex]
At (1,4),
[tex]4 = - 3(1) + b[/tex]
[tex]4 = - 3 + b[/tex]
[tex]b = 4 + 3[/tex]
[tex]b = 7[/tex]
[tex]y = - 3x + 7[/tex]