Answer:
the radius: r = 9the center: (4, -5)Step-by-step explanation:
The equation of a circle:
(x - a)² + (y - b)² = r²(a, b) - the center of a circle
r - the radius of a circle
x² - 8x + 16 + y² + 10y + 25 = 81
(x² - 2(x)(4) + 4²) + (y² + 2(y)(5) + 5²) = 81
use: (a - b)² = a² - 2ab + b² and (a + b)² = a² - 2ab + b²
(x - 4)² + (y + 5)² = 9²
Therefore
the radius: r = 9
the center: (4, -5)
The radius is 9 and the center of the circle (4, -5)
What is the center of a circle?A circle's center is a point throughout the circle that is equally spaced from every other point on the circumference. The line of refraction symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry surrounding the centre.
The equation of a circle:
(x - a)² + (y - b)² = r²
The center of a circle will be (a, b)
The radius of a circle will be r
x² - 8x + 16 + y² + 10y + 25 = 81
Solving the above equation on the basis of the Equation of a circle.
(x² - 2(x)(4) + 4²) + (y² + 2(y)(5) + 5²) = 81
Using the identity in the above-given equation.
(a - b)² = a² - 2ab + b² and (a + b)² = a² - 2ab + b²
(x - 4)² + (y + 5)² = 9²
The center of the circle will be at coordinates 4 and 5. And the radius of the circle derived is 9.
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A circle with radius 142.5 has an arc with a 24 degree angle. What is the length of the arc?
Answer: 59.690260418206
The result is approximate. Round that value however you need to.
===========================================================
Explanation:
For a circle with radius r = 142.5, the full distance around the edge (aka perimeter aka circumference) is found by using the formula below.
C = 2*pi*r
C = 2*pi*142.5
C = 895.353906273091
That value is approximate. I used my calculator's stored value of pi to get the most accuracy possible.
That value of roughly 895 represents the distance around a full circle of that radius, but we only want a 24 degree pizza slice.
In other words, we want 24/360 = 1/15 of the full perimeter
(1/15)*895.353906273091 = 59.690260418206
Answer:
59.69 units
Step-by-step explanation:
TOTAL circumference of this circle = pi * d = pi * 2r = 895.354
now you want 24 degrees of the entire 360 degrees
24/ 360 * 895.354 = 59.69 units
The area of the parallelogram below is square meters?
Answer:
8 Square meters
Step-by-step explanation:
plus the 6m and 2m this meters is both side , so add that then it'll become 8 Square meters
or multiply the 6m and 2m it'll become 12m
Which second degree polynomial function has a leading coefficient of –1 and root 4 with multiplicity 2? f(x) = –x2 – 8x – 16 f(x) = –x2 8x – 16 f(x) = –x2 – 8x 16 f(x) = –x2 8x 16
Using the Factor Theorem, the second degree polynomial function that has a leading coefficient of –1 and root 4 with multiplicity 2 is given by:
f(x) = -x² + 8x - 16
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.
In this problem, we have that:
The leading coefficient is of a = -1.There is a root of 4 with multiplicity 2, hence [tex]x_1 = x_2 = 4[/tex].Thus, the polynomial is given by:
f(x) = -(x - 4)(x - 4)
f(x) = -(x² - 8x + 16)
f(x) = -x² + 8x - 16
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Is (5, 3) a solution to the equation y = x + 2?
Answer:
No
Step-by-step explanation:
Replace x with the given c value to get y = 5 + 2 which becomes y = 7
Since y is 3 in the given solution and not 7 it cannot be a solution.
Pythagorean Theorem
right angles triangle
25cm
15cm
B
find B
The value of B using Pythagoras theorem is 20 cm.
Pythagoras theorem?Pythagoras' theorem states that the square of the hypotenuse in a right- angle triangle is equal to the sum of the square of the two other sides.
Formula:
A² = B²+C²........... Equation 1Make B the subject of the equation
B² = A²-C²B = √(A²-C²)................ Equation 2From the question,
Given:
A = 25 cmC = 15 cmSubstitute these values into equation 2
B = √(25²-15²)B = √(625-225)B = √(400)B = 20 cm.Hence, The value of B using Pythagoras theorem is 20 cm.
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A parallelogram has a base that is 10.2 centimeters long and a height that measures 5 centimeters. What is the area of the parallelogram?
The area of the parallelogram is the product of length and height. Then the area of the parallelogram will be 51 square cm.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
A parallelogram has a base that is 10.2 centimeters long and a height that measures 5 centimeters.
Then the area of the parallelogram will be
Area = bh
Area = 10.2 x 5
Area = 51 square cm
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Choose the graph of y < –x2 + 4x + 5.
Answer:
can you show me the graph so I can't answer the question
Answer:
A
Step-by-step explanation:
Edge 2022
A table.Short description, A table.,Long description, Sandwich Fat (in grams) Calories Hamburger 18 390 Cheeseburger 25 430 Bacon Cheeseburger 33 550 Grilled Chicken 9 310 Chicken Club 21 490 Question What is the range of fat grams for the five sandwiches?
Using it's concept, it is found that the range of fat grams for the five sandwiches is of 24 grams.
What is the range of a data-set?It is given by the difference of the highest value by the lowest value in the data-set.
In this problem, the sandwich with the least fat has 9 grams and the one with the most has 33 grams, hence the range is given by:
R = 33 - 9 = 24 grams.
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HELP NEEDED PLEASE!!!
Using vector concepts, it is found that:
The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.
How can a vector be represented in component notation?Given a magnitude M and angle [tex]\theta[/tex], then a vector V can be represented as follows in component notation:
[tex]V = (M\cos{\theta}, M\sin{\theta})[/tex]
In this problem, the magnitude and the angle are given, respectively, by:
[tex]M = 12, \theta = 143^\circ[/tex]
Hence:
V = [12cos(143º), 12sin(143º)] = (-9.58, 7,22).
Which means a displacement of 9.58 miles to the west(negative x = west) and 7.22 miles to the north(positive y = north).
The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.
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Which function does the graph represent? What is the asymptote of the function?
5
5
5
On
4
النا
2
2
m
5
-1
-2
3
4
-5
The function is
B. Its asymptote is
e
Answer:
your new acc has not verify
plss try again!!
Factor x2 + x – 42.
An x-method chart shows the product negative 42 at the top of x and 1 at the bottom of x. 7 is on the left side of x and negative 6 is on the right side.
Use the completed X diagram to replace the x-term in the trinomial with two x-terms.
x2 + x – 42 = x2 +
– 42
Next, use double grouping to factor the four terms.
= x(
)–
(x + 7)
=
To verify,
the factors.
-- - - -- - - - - - - - - -- - - - - - - - - - - - -- - - - - - - - - - - - - - -- - - - - - -- - - - --
[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
Factor x²+x-42
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
First, think of two numbers such that
If we multiply them we'll get -42If we add them we'll get 1These numbers are:-
7 and -6
Write them here:-
(x+7)(x-6)
Note:-
We don't have to use the Big X method, since the coefficient of x² is 1.
If it's greater than 1, like 2, then the Big X method comes in handy.
Good luck.- - - - -- -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Answer:
1. 7x-6x
2. x+7
3. 6
4.(x-6)(x+7)
5. multiply
Step-by-step explanation:
Please Show Your Work
The area of the trapezoid will be 32.5 square feet. Then the volume of the geometry will be 341.25 cubic feet.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The figure is shown.
Then the volume of the given geometry will be
Volume = Area of the trapezoid × Height
Then the area of the trapezoid will be
[tex]\rm Trapezoid \ area = \dfrac{1}{2} \times (8 + 5) \times 5\\\\\\Trapezoid \ area = 32.5 \ ft^2[/tex]
Then the volume of the geometry will be
Volume = 32.5 × 10.5
Volume = 341.25 cubic ft.
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Find the measurement of x
Answer:
x = 40°
Step-by-step explanation:
In circle with center O.
[tex]\angle AOB[/tex] is central angle.[tex]m\angle AOB= 80\degree[/tex] (Given)[tex]m\widehat{(AB)} =m\angle AOB[/tex] (By central angle theorem)[tex]\implies m\widehat{(AB)} =80\degree[/tex][tex] \angle ACB[/tex] is inscribed angle and [tex]\widehat{(AB)}[/tex] is intercepted by it.[tex]\implies m\angle ACB=\frac{1}{2}\times m\widehat{(AB)}[/tex] (By inscribed angle theorem)[tex]\implies x=\frac{1}{2}\times 80\degree[/tex] [tex]\implies \huge\purple{ x=40\degree}[/tex]anyone know how to do it
Answer:
Surface area of cube = 6x²
surface area of cube = surface area of sphere
it means that 6x²=4πr²
x²=
[tex] \frac{4\pi {r}^{2} }{6} = \frac{4 \pi9}{6} = \frac{4\pi3}{2} = 6\pi[/tex]
[tex]x = \sqrt{6\pi} [/tex]
[tex] \sqrt{6\pi} = \sqrt{k\pi} [/tex]
[tex]6\pi = \pi \: k[/tex]
[tex]k = 6[/tex]
Which of the following is an example of a theorem?
A. Two points determine a line.
B. Vertical angles are congruent.
C. Any angle is congruent to itself.
D. If two planes intersect, then their intersection is a line.
Answer:
D
Step-by-step explanation:
Just ask :)
Suppose you drop a tennis ball from a height of 11 feet. After the ball hits the floor, it rebounds to 75% of its previous height. How high will the ball rebound after its third bounce? Round to the nearest tenth.
Answer:
4.64 ft
Step-by-step explanation:
75 % = .75
11 * .75^3 = 4.64 ft
If 126 people attend a concert and tickets for adults cost $4.00 while tickets for children cost $2.25 and total receipts for the concert was $383.25, how many of each went to the concert?
Answer:
69 children, 57 adults
Step-by-step explanation:
Let a = number of adults and c = number of children.
a + c = 126---------------->4a + 4c = 504
4a + 2.25c = 383.25-->4a + 2.25c = 383.25
----------------------------
1.75c = 120.25
c = 69, a = 57
Type the equation for the graph
below.
Answer:
y=log(pi divide by 2)exponent ×
Two mechanics can assemble 10 bicycles in 8 hours. How many bicycles could one mechanic assemble in 8 hours? Use what you determined in part (a) to write the unit rate for one bicycle mechanic to assemble bicycles. Write an equation that relates the rate, bicycles, and time needed for one mechanic. Let t represent time and b represent bicycles assembled. Use your equation to find out how long it would take one mechanic to assemble 25 bicycles.
Using proportions, it is found that one mechanic could assemble 5 bicycles in 8 hours, and it would take 40 hours to assemble 25 bicycles.
The equation is: b = 0.625t.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, two mechanics can assemble 10 bicycles in 8 hours. How many bicycles could one mechanic assemble in 8 hours? Hence the rule of three is given by:
2 mechanics - 10 bicycles.
1 mechanic - x bicycle.
Applying cross multiplication:
2x = 10 -> x = 5 bicycles in 8 hours.
Hence the equation for the number of bicycles in t hours of a single mechanic is given by:
b = 5/8t = 0.625t.
For 25 bicycles, we have that:
25 = 0.625t.
t = 25/0.625.
t = 40 hours.
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if you flip 100 coins what is the probability of 50 being heads and 50 being tails
Answer:
1/2
Step-by-step explanation:
it is going to be 1/2 because you you have a 1 out of 2 chance of getting heads or
tails on any of them.
Answer:
if you
flipped a coin 100 times you saw the ratio of head and tails to be 50/50. They created a diagram of all the flips. There was a lot of flip-flopping between heads and tail.
Step-by-step explanation:
1 Segment AB has coordinates A(3, 6) and B(2, 4).
Segment A' B' has coordinates A'(-3, 6) and B'(-2, 4).
Which transformation takes segment AB to segment A'B'?
А
Rotation 90 counterclockwise
B
Reflection over the r-axis
C
С
Rotation 90° clockwise
D
Reflection over the y-axis
Answer: I belive it’s C sorry if it’s wrong
Step-by-step explanation: because if you rotate it it will swap sides making it A,B
Which term best describes the expression 3x2y4 + 5x + 1?
O Trinomial
O Polynomial
O Binomial
O Monomial
Answer:
Trinomial.
Step-by-step explanation:
Note how much terms there are in the given expressions:
Term 1: [tex]3x^{2}y^{4}\[/tex]
Term 2: [tex]5x[/tex]
Term 3: [tex]1[/tex]
Note each meaning of the terms:
Monomial: Having only one term.
Binomial: Having two terms.
Trinomial: Having three terms.
Polynomial: Typically used to describe expressions with 4 or more terms.
In this case, there are only 3 terms, and so your answer is Trinomial.
~
Mike had 4 cups of rice.
He used 1
2 cup of rice for one recipe and 1 1
4 cups of rice for another recipe.
How many cups of rice did Mike have left?
Answer:
Mike now has zero cups of rice
which expression is not equal to 30?
(12020) × (2+3)
(2 x 60 ÷ 30) x (24+2)
2 + (30 − 8 ÷ 4)
(9 × 10) ÷ (4+1) + 12
Answer:
the first 2 are not equal to 30, while the other 2 equal 30
Answer: (12020) x (2+3), (2 x 60 ÷ 30) x (24+2)
Step-by-step explanation:
(12,020) x (2+3) = 60,100
(2 x 60 ÷ 30) x (24+2) = 104
Aimee got on the train at 3:00 p.m. She got off the train at 4:55 p.m. About how long was Aimee on the train?
Answer:
1 hour and 55 minutes.
Step-by-step explanation:
3:00 to 4:00 is 1 hour. 4:00 to 4:55 is 55 minutes. 1 hour + 55 minutes = 1 hour and 55 minutes.
A parallelogram in a coordinate plane is reflected over the line y=5 and translated 2 units left and 1 unit down.
Which statement is true?
The resulting parallelogram is not congruent to the original parallelogram regardless of the order of the transformations.
The resulting parallelogram is not congruent to the original parallelogram regardless of the order of the transformations.
The resulting parallelogram is congruent to the original parallelogram only if the reflection occurs first.
The resulting parallelogram is congruent to the original parallelogram only if the reflection occurs first.
The resulting parallelogram is congruent to the original parallelogram regardless of the order of the transformations.
The resulting parallelogram is congruent to the original parallelogram regardless of the order of the transformations.
The resulting parallelogram is congruent to the original parallelogram only if the translation occurs first.
The resulting parallelogram is congruent to the original parallelogram only if the translation occurs first.
Answer: The resulting parallelogram is congruent to the original parallelogram regardless of the order of the transformations.
Step-by-step explanation:
A reflection and a translation are both rigid motions, meaning both transformations preserve congruency.
Answer:
The resulting parallelogram is not congruent to the original parallelogram regardless of the order of the transformations.
Step-by-step explanation:
A contractor has two choices for billing a completed job. · $500 flat rate, regardless of the number of hours worked · $20 per hour worked The graph shows the relationship between pay per hour and number of hours worked for both scenarios. What is the solution to this system of equations, and what does it mean to the contractor?
The solution (0, 20) tells the contractor the minimum amount that can be charged.
The solution (0, 500) tells the contractor the maximum amount that can be charged.
The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.
The solution (20, 25) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.
The solution to this system of equations is: The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options. (Option C).
What does this mean to the contractor?
It means that if the number of hours worked is above 20, then it is more profitable to utilize the $20/hour rate.
Recall that the contractor has two options for billing a completed job. They are:
500 dollars flat rate20 per work workedLet us fix x hours to be required for completing the project:
Note that:
The total amount recievable per contract is $500 while working on a retail basis, it will cost $25x.
Stating this mathematically, e have
25x < 500 when x < 20.
This mean that
25x < 500 when x < 20.
Then we find that by I contract he would get 500 $ but by II choice he would get 25x dollars
We find that
25x<500 if x<20
This suggests that a $500 flat rate is preferable if the number of hours done is fewer than 20.
If the number of hours is greater than 20, the hourly rate, i.e. $20 per hour, is preferable.If number of hours is more than 20, hourly rate i.e. 20 per hour is better.Hence the correct answer is Option C.
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Answer:
C
Step-by-step explanation:
just took the test
A school bag weighs 1.750 kg corrected to the nearest gram. What is the percentage error in this measurement?
Answer:
5.71%
Step-by-step explanation:
1.75 kg = 1750 gm ( 1kg = 100gm)
So if the corrected weight is to the nearest gram, the bag can weigh ± 1 gm from the corrected weight
So the error is 1/1750 = 1 /1750 x 100 % = 5.71%
help please
Evaluate f(x) at the given values of x.
Replace x in the equation of f(x) and solve:
f(0) = sqrt(0) = 0
F(49/9) = sqrt(49/9) = 7/3
Put values get answer
f(x)=√xx=0
f(0)=√0=0x=49/9
f(49/9)√49/97/3Please help me find the volume of this figure I will give brainly
Answer:
100.53
Step-by-step explanation:
V=πr2h
3=π·42·6
3≈100.53096
Hope this helps! please mark me brainliest :)
