Answer:
(x + 5)² + (y - 4)² = 17
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 5, 4 ) , then
(x - (- 5) )² + (y - 4)² = r² , that is
(x + 5)² + (y - 4)² = r²
r is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 5, 4) and (x₂, y₂ ) = (- 1, 5)
r = [tex]\sqrt{(-1+5)^2+(5-4)^2}[/tex]
= [tex]\sqrt{4^2+1^2}[/tex]
= [tex]\sqrt{16+1}[/tex]
= [tex]\sqrt{17}[/tex] ⇒ r² = ([tex]\sqrt{17}[/tex] )² = 17
Then
(x + 5)² + (y - 4)² = 17 ← equation of circle
Answer:
x² + y² + 10x - 8y + 24 = 0
Step-by-step explanation:
equation of a circle :-
equation of a circle :-(x - h)² + (y - k)² = r²
(h, k) is the center of the circle R is the radius of the circlefor this circle :-
h = -5k = 4R = ?finding radius of the circle
we've been given a point ( -1, 5) that lies on the circle and hence should satisfy the equation of the circle
putting x = -1 and y = 5
=> (-1 - (-5))² + (5 - 4)² = r²
=> (-1 + 5)² + 1² = r²
=> 4² + 1 = r²
=> 17 = r²
[tex] = > r = \sqrt{17} [/tex]
the radius if the circle is √17 units
__________________________________
finding the equation of the circle
=> (x + 5)² + (y - 4)² = (√17)²
=> x² + 25 + 10x + y² + 16 - 8y = 17
as for any two variables a and b, (a + b)² = a² + b² + 2ab=> x² + y² + 10x - 8y + 24 = 0
can someone help please !! giving brainlist to anyone who answers
Answer:
with?
Step-by-step explanation:
7 pens and 2 pencils cost 22
3 pens and 4 pencils cost 11
Find the cost of a pen
find the cost of a pencil
Pen : $3
Pencil : $0.50
Any fake or incorrect and links will be reported and you will have all answers taken away
Write a simplified expression for the perimeter of the triangle.
Answer:
Perimeter = 6s + 9 units
Step-by-step explanation:
Perimeter = 2s + 4 + 4s + 2 + 3
= 2s + 4s + 4 + 2 + 3
= 6s + 9 units
Please help, the question is in the picture.
Step-by-step explanation:
answer is first option,,,
Choose the function whose graph is given by:
+1
2
x
+-1
- -2
-4
O
A. y= 4sin(x+1) - 2
B.y= 6sin(x+1) - 2
c. y= 4cos(x- 1) +2
D. y= 4sin(x-1) - 2
Your answer would be y=4sin(x+1)-2. That would be A.
The required function is y = 3 sin (x -2) + 1.
What is Function?A relation between a collection of inputs and outputs is known as a function.
A mathematical phrase, rule, or legislation that establishes the link between an independent variable and a dependant variable (the dependent variable).
From the graph that is provided to us we observe that,
when x=2
then f(x)=1
Here, from the function y = 3 sin (x -2) + 1
So, when x=2
we get: y=1
Also, all the other points are satisfied.
Learn more about Function here:
https://brainly.com/question/12801690
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The monthly rent of a house is Rs4200. The rent is decreased by 15%. Calculate the new rent.
Answer:
3570
Step-by-step explanation:
the current monthly rent is 4200.
now, decreasing it by 15% means to reduce it, to subtract 15% from it.
4200 = 100%
42 = 1%
15% = 42 × 15 = 630
so, the new rent is 4200 - 630 = 3570
find the value of Y
.....
Answer:
[tex] y = 6 \sqrt{3} \: units[/tex]
Step-by-step explanation:
In order to find the value of y, first we need to find the length of the perpendicular dropped from one of the vertices of the triangle to its opposite side.
By geometric mean theorem:
Length of the perpendicular
[tex] =\sqrt{9\times 3}[/tex]
[tex] =\sqrt{27}\: units [/tex]
Next, by Pythagoras theorem:
[tex] {y}^{2} = {9}^{2} + {( \sqrt{27} )}^{2} \\ \\ {y}^{2} = 81 + 27 \\ \\ {y}^{2} = 108 \\ \\ y = \sqrt{108} \\ \\ y = \sqrt{36 \times 3} \\ \\ y = \sqrt{ {6}^{2} \times 3} \\ \\ y = 6 \sqrt{3} \: units[/tex]
Determine the answer to (-3) + (-5) using a number line
Answer:
---
Step-by-step explanation:
Start at -3. Then subtract 5 from it(or go backwards 5).
---
hope it helps
Question 10 of 10 To find the inverse of f(x) = 2x - 1, Patel begins by replacing f(x) with y. He then switches x and y. What is the next step? A. Replace y with f-1(x). B. Subtract 1 from both sides of the equation. C. Solve the equation for y. O D. Solve the equation for x. SUBMIT
Answer:
f⁻¹(x) = (x+1)/2
Step-by-step explanation:
Given the function f(x) = 2x - 1, we are to find its inverse;
Let y = f(x)
y = 2x - 1
Replace y with x
x = 2y - 1
Make y the subject of the formula
2y = x + 1
Divide both sides by 2
2y/2 = (x+1)/2
y = (x+1)/2
Replace y with f⁻¹(x)
f⁻¹(x) = (x+1)/2
Hence the required inverse is (x+1)/2
what is 0.15 divided by 9 as a decimal please only correct answers this is a final
Answer:
0.01666666666
Answer:
60
Step-by-step explanation:
if you flip it around from "0.15 divided by 9" and turn it into "9 divided by 0.15" you will the answer 60.
(hopes this helps )
Which range of y values makes
this inequality true?
0.6y < 15
Pls help
Answer:
yes this is true helpful answer
A(n) _____ is a statement that you conclude to be true based on logical reasoning. argument proof conclusion conjecture
Answer: conjecture
Step-by-step explanation:
A conjecture is a statement or an opinion based on logical reasoning or trivial facts that are always true. It does not require any proof.
Thus, A conjecture is a statement that you conclude to be true based on logical reasoning.
Note:
Conclusion = Result made after a generalized study.Argument = A series of reasons that leads to a conclusion.proof = An argument that uses written justification in the form of definitions, properties, postulates, and previously proved theorems.There are 10 players on the swim team. How many ways can the coach
select 3 people to swim in the relay?
The coach can select 3 people to swim in the relay in 120 ways.
What is combination?'In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter.'
According to the given problem,
Number of players = 10
Number of people to be selected = 3
We know,
[tex]^{n}C_{r}[/tex] = [tex]\frac{n!}{r!(n-r)!}[/tex] where, n = Total number of players
r = Number of players to be selected
Number of ways to select 3 people out of 10 = [tex]^{10} C_{3}[/tex]
= [tex]\frac{10!}{3!*7!}[/tex]
= 120 ways
Hence, we can conclude, the coach can select 3 people out of 10 in 120 ways.
Learn more about combination here: https://brainly.com/question/13387529
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2x10+3a=59 What is a?
answer is :59/3-2x^10/3
Step-by-step explanation:
The selected accounts from the Blue Door Corporation's accounting records are presented below for the year ended December 31, 2015: Advertising expense $ 55,000 Interest revenue $ 30,000 Common stock 250,000 Inventory 67,000 Cost of goods sold 1,085,000 Rent revenue 24,000 Depreciation expense 125,000 Retained earnings 535,000 Dividends 150,000 Salaries and wages expense 675,000 Freight-out 25,000 Sales discounts 8,500 Income tax expense 70,000 Sales returns and allowances 41,000 Insurance expense 15,000 Sales revenue 2,400,000 Interest expense 70,000 Prepare a multiple-step income statement.
Solution :
Sales Revenue
Sales $ 2,400,000
Less:
Sales discount $ 8,500
Sales returns and allowances $ 41,000
$ 48,500
Net Sales $ 2,350,500
Cost of goods sold $ 1,085,000
Gross profit $ 1,265,500
Operating expense :
Salaries expenses $ 675,000
Advertising expenses $ 55,000
Depreciation expense $ 125,000
Freight expense $ 25000
Insurance expense $ 15,000
Total operating expenses $ 895,000
Operating income $ 370,500
Non operating income
Interest revenue $ 30,000
Rent revenue $ 24,000
$ 54,000
Non Operating expenses :
Interest expense $ 70,000
Income before income tax $ 354,500
Income tax expense $ 70,000
Net income $ 284,500
When solving an equation, Carmen's first step is shown below. Which property justifies Carmen's first step?
Answer:
Subtraction property of equality
Step-by-step explanation:
In the equation, 5 is subtracted from both the sides
Point B is the image of point A when point A is rotated about the origin. What is known about point A and B?
On a coordinate plane, point A is (negative 3, 4) and point B is (4, 3).
Point B is the result of a 180° rotation.
Point A and B have the same x-coordinate.
Point B is the result of a 90° counterclockwise rotation.
Point A and point B are the same distance from the origin.
Answer:
D
Step-by-step explanation:
I took Edgy 2021 test
Answer:
D
Step-by-step explanation:
Please help!! Figure B is scaled copy of figure A, what is the scale factor from figure A to figure B?
Answer:
scale factor = 2
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, fig. B to fig. A
Consider the horizontal lengths, then
scale factor = [tex]\frac{8}{4}[/tex] = 2
The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (4,96) and (6,144) to find
the number of soda bottles the machine can make
each minute.
Answer:
The machine can make 24 bottles of soda per minute
Step-by-step explanation:
Looking at the graph of the relationship, we can see that the number of bottles per minute simply represent the slope of the line
Thus, by calculating the slope using the given points, we can have the number of bottles per minute
We have the formula as;
m = (y2-y1)/(x2-x1)
(x1,y1) = (4,96)
(x2,y2) = (6,144)
m = (144-96)/(6-4) = 48/2 = 24
Find the measure of the missing angles. (someone help this is so urgent [cry])
Answer:
b=77
c = 103
Step-by-step explanation:
b and 77 are vertical angles and vertical angles are equal
b= 77
c and 77 are supplemental angles and supplemental angles add to 180
c+77 =180
c = 180-77
c =103
[tex] \large \sf \star \: \blue{Answer} \: \star[/tex]
[tex] \small \sf \mapsto\: b = \fbox{77 °} [/tex]
[tex] \small \sf \mapsto \: c = \fbox{ 103 °}[/tex]
Step-by-step explanation:Here,
Angle b and 77° both are vertical angles . So, both angles are equal . b = 77 °And,
Angle b and angle c are on straight line so it's supplementary angles and we know that sum of all angles of supplementary angles is 180 °.So, b + c = 180 °
77° + c = 180 ° ... { b = 77 -( vertical angle )}
subtract 77 from each sides
77 - 77 + c = 180 ° - 77 °
c = 103 °
Here are the test marks of 6 girls and 4 boys.
Girls: 5 3 10 2 7 3
Boys: 2 5 9 3
(a) Write down the mode of the 10 marks.
(b) Work out the median mark of the
(c) Work out the mean mark of all 10 students.
help quick i really need to know the answer of
A and B
Answer:
(a) 3
(b) 3+5÷2 =4
Step-by-step explanation:
(a) you look at which number appears the most on the data in this case it's 3 it appeares three times in the data compared to other numbers.
(b) arrange the data in ascending order divide the data equally to find the number in the middle if the are two numbers you simply add them and divide by 2 to get your median.
Substitute 8 for x and evelute the expression below (x-+6)-2 ?
Một ô tô đi trong 3¾ giờ đầu với vận tốc 45km/ giờ .Trong 2 giờ tiếp theo đi được 84,7 km. Hỏi ô tô đã đi được tất cả bao nhiêu km?
Answer:
Total distance cover by car = 253.45 km (Approx.)
Step-by-step explanation:
Given:
Speed of car = 45 km/h for 3¾ hour
Distance cover in next 2 hour = 84.7 km
Find:
Total distance cover by car
Computation:
Distance = Speed x time
Distance cover by car = 45 x 3¾
Distance cover by car = 168.75 km
Total distance cover by car = Distance cover by car + Distance cover in next 2 hour
Total distance cover by car = 168.75 + 84.7
Total distance cover by car = 253.45 km (Approx.)
Find the circumference of each circle from the given radius or diameter
4
Which equation represents a linear function that has a slope of 5 and a y-intercept of -6?
4.
y=-6x+
+
Oy-x-6
O y=x+6
O y=6x+
PLEASE I NEED HELP
First, we have to understand the slope-intercept form.
[tex] \large \boxed{y = mx + b}[/tex]
A linear function/equation has three forms and the slope-intercept is one of the form. It is also commonly used in Function topic while the other two forms are commonly used in Analytic Geometry.
In the slope-intercept form, the m-term represents the slope while b-term represents the y-intercept of a graph.
Which equation represents a linear function that has a slope of 5 and a y-intercept of -6.
As you notice the bold, italic and underlined words in the question that I quoted or rewrote. I've just explained that the slope is m-term and y-intercept is b-term.
Therefore, substitute m = 5 and b = -6 in the equation.
[tex] \large{y = mx + b \longrightarrow \bold{y = 5x + ( - 6)}} \\ \large \boxed{ \tt{ \purple{y = 5x - 6}}}[/tex]
I hope this helps! Let me know if you have any questions regarding the linear function, don't hestitate to ask. Good luck with your assignment and have a nice day!
Please help me kitty <3
•multiple-choice answer
Answer:
Decreasing linear
Step-by-step explanation:
An arithmetic sequence decreases by a set amount every time through subtraction, so that means it's linear
4. At a convenience store, juice costs $3.25 and magazines cost $8.50. What is an algebraic expression for
the total income received by the convenience store for the sale of juice and magazines?
b) 3.25W + 8.57 c) 3.25j + 8.5m d) none of the above
Answer:
the answer is c
Step-by-step explanation:
juice would be 1 variable and magazines would be another. u would put each variable next the things that they represent, so j for juice would be put with 3.25 because that's how much 1 bottle costs. The variable m would be with 8.5 because that's how much the magazines cost.
What is the completely factored form of
x4−16x4−16
Compute the volume of the following composite solid
=======================================================
There are a few ways to do this.
One way is to slice horizontally to break up the L shape into two separate rectangular blocks. Refer to the diagram below to see what I mean.
The block on top has length 80-60 = 20 mm (horizontal), width 10 mm, and height 40 mm.
The volume of this block on top is L*W*H = 20*10*40 = 8000 mm^3, where mm^3 means "cubic millimeters"
The block down below has a length of 80 mm, width of 10 mm, and height of 60-40 = 20 mm (vertical). Its volume is L*W*H = 80*10*20 = 16000 mm^3
Add up the two volumes to get the overall volume: 8000+16000 = 24000 mm^3
---------------------
Another approach you could take is to do a vertical slice to form two separate blocks. You would follow similar steps mentioned in the section above to find the two volumes, and add up the smaller pieces.
Yet another way to find the answer is to find the area of the L shape, and then multiply that by the depth of 10 mm.
i need help i don't understand #3
Answer:
I can't understand number 6 sorry :(
7. The DO side is the hypotenuese8.
8. 107.62
Step-by-step explanation:
The formula for this is:
[tex]a^2+ b^2 = c^2[/tex]
66 × 66 = 4,356
85 × 85 = 7,225
4356 + 7225 = 11,581
[tex]\sqrt{11,581}[/tex] ≈ 107.62
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Have a great summer :)