Answers
Answer:
(x - 3)² + (y + 5)² = 10
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) = (3, - 5 ) , then
(x - 3)² + (y - (- 5) )² = r² , that is
(x - 3)² + (y + 5)² = r²
r is the distance from the centre to a point on the line
Calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (6, - 4)
r = [tex]\sqrt{(6-3)^2+(-4+5)^2}[/tex]
= [tex]\sqrt{3^2+1^2}[/tex]
= [tex]\sqrt{9+1}[/tex]
= [tex]\sqrt{10}[/tex] ⇒ r² = ([tex]\sqrt{10}[/tex] )² = 10
(x - 3)² + (y + 5)² = 10 ← equation of circle
Related Questions
What two numbers sum up to 11 and multiply to 18
Answers
Answer:
9 and 2
Step-by-step explanation:
9+2=11
9×2=18
Answer:
9 and 2
Step-by-step explanation:
Abby’s employee benefits include family health care coverage. She contributes 15% of the cost. Abby gets paid bi-weekly and $105.00 is taken out of each paycheck for family health care coverage. How much does Abby and her employer contribute annually for the family coverage?
Answers
Answer:
.........................
If real estate agent earns a 3% commission and earned \$4,350 on the closing of a home What was the price of the home?
Answers
Answer:
Final price of house = $145,000 (Approx.)
Step-by-step explanation:
Given:
Rate of commission = 3%
Amount of commission = $4,350
Find:
Final price of house
Computation:
Final price of house = Amount of commission / Rate of commission
Final price of house = 4,350 / 3%
Final price of house = 4,350 / 0.03
Final price of house = 145,000
Final price of house = $145,000 (Approx.)
A box contains 6 black marbles and 4 white marbles. What is the probability of selecting a black marble at random from the box?
Answers
Answer:
3/5
Step-by-step explanation:
6 black marbles and 4 white marbles.= 10 marbles
P( black marble) = number of black marbles / total marbles
=6/10 = 3/5
Answer:
6/4 or 1 1/2
Step-by-step explanation:
because there is 6 black marbles and 4 white marbles
Which statement describes why the system has two solutions?
Answers
Graph y= -x2 - 1. Identify the vertex of the graph. Tell whether it is a minimum or maximum.
A. (–1, 0); minimum
B. (0, –1); maximum
C. (0, –1); minimum
D. (–1, 0); maximum
Answers
Answer:
B. (0, –1); maximum
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
( 0 , − 1 )
Focus:
( 0 , − 5 /4 )
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
3
4
x
y
−
2
−
5
−
1
−
2
0
−
1
1
−
2
2
−
5
Use the formula
x
=
−
b
2
a
to find the maximum and minimum.
( 0 , − 1 )
y/7 + 2.1 = 9.1
solve for y.
Answers
Answer:
-79
Step-by-step explanation:
-9.1-2.1=-11.2
--79÷7=-11.2
Answer:
y = -78.4
Step-by-step explanation:
y/7+2.1-2.1=-9.1-2.1
y/7=-11.2
y/7*7=-11.2*7
y= -78.4
Complete the following statements using the given histogram. The data in the histogram is . Anabelle was absent on the day of the test and had to make it up the following week. She scored a 60, and her score should be added to bin . The total number of students who scored less than a 70 on the day of the test is .
Answers
Answer:
Step-by-step explanation:
Skewed left
50-60 and 60-70
8
Vince's birthday party is going to be at his favorite science museum next weekend. He has 8 friends who want to see the Dinosaur Discovery show and 4 friends who want to see the Wild Weather show. Typically, the Dinosaur Discovery show costs d dollars per ticket, and the Wild Weather show costs w dollars per ticket. But next weekend, all tickets are half price! Pick all the expressions that represent the total cost of his friends' tickets.
Answers
Answer:
See explanation
Step-by-step explanation:
Dinosaur Discovery show = 8 friends
Wild Weather show = 4 friends
Cost of Dinosaur Discovery show = $d
Cost of Wild Weather show = $w
At regular price:
Total cost of his friends' tickets = 8 * d + 4 * w
= 8d + 4w
At half price
Total cost of his friends' tickets =
8 * 1/2d + 4 * 1/2w
= 8/2d + 4/2w
= 4d + 2w
Total cost of his friends' tickets = 4d + 2w
what is an angle formed by
Answers
Answer:
An angles is formed by 2 rays sharing the same endpoint which is called the vertex.
Answer:
an angle is formed by two rays that intersect or share the same endpoint.
How many families in Oats Township have two or more cars?
100
4
1
2
400
200
Answers
Answer:
200
Step-by-step explanation:
Good luck <3
Answer:
200
Step-by-step explanation:
hope it helps
can anyone help with this? find st and rt
Answers
Answer:
ST= 5.2
RT= 23.6
Step-by-step explanation:
Answer:
ST= 5.2
RT= 23.6
Step-by-step explanation:
Given the following terms of a geometric sequence: a1=7, a11=7340032 ; Determine r and a8
Answers
Answer:
r = 4
a8 = 114,688
Step-by-step explanation:
a1=7
a11 = 7340032
a11 = a1*r^10
7340032 = 7 * r^10
7340032 = 7r^10
r^10 = 7340032/7
r^10 = 1,048,576
Find the 10th root of both sides
10√r^10 = 10√1,048,576
r = 4
a8 = a1 * r^7
= 7 * 4^7
= 7 * 16,384
= 114,688
a8 = 114,688
Type the correct answer in the box. Use numerals instead of words. what value of x satisfies this equation? log(2x)=2
Answers
Answer:
Espero te sirva
Step-by-step explanation:
Suerte *******
if im writing 200 post cards , and stamps are 0.36 cents a piece, how much money would 200 stamps be?
Answers
Answer:
72
Step-by-step explanation:
1 stamp costs 0.36 cents
Then, 200 post cards will cost 0.36 × 200 = 72
Answer:
$72 dollars
Step-by-step explanation:
200 x 0.36 = 72
In right triangle ABC, sin M = cos 61. If 0
Answers
Note: Consider we need to find the value of M if [tex]0^\circ<M<90^\circ[/tex]
Given:
In a right triangle ABC,
[tex]\sin M=\cos 61^\circ[/tex]
To find:
The value of M.
Solution:
We have,
[tex]\sin M=\cos 61^\circ[/tex]
It can be rewritten as:
[tex]\sin M=\cos (90^\circ-29)^\circ[/tex]
[tex]\sin M=\sin 29^\circ[/tex] [tex][\because \sin (90^\circ-\theta)=\sin \theta][/tex]
On comparing both sides, we get
[tex]M=29^\circ[/tex]
Therefore, the value of M is 29 degrees.
I need help with this
Answers
Answer:
Step-by-step explanation:
the given equation is in the form of quadratic formula i.e.ax^2+bx+c=0.
So ,here a=-1 ,b=-6 and c=-9
b^2=(-6)^2
=36
4ac=4*(-1)*(-9)
=4*9
=36
b^2-4ac=36-36
=0
number of solutions =1
PLZ HELP WILL GIVE BRAINLIEST
A company wants to provide better customer service to all of its 2000 clients. The company needs to create a sample of clients to survey.
How should the company select its sample of clients? Select two that apply.
The company should choose the first 50 clients that volunteer to take the survey.
The company should have a computer randomly generate a list of 200 clients to survey.
The company should survey every 5th client that makes an appointment.
Every employee in the company should recommend 1 client to survey.
Answers
Answer:
the company should survey every 5th client that makes an appointment.
the company should have a computer randomly generate a list of 200 clients to survey.
a article cost$1424 it may be purchased by depositing$560 and making monthly payment of 48 how many months are required to complete payment
Answers
Answer:
18months
Step-by-step explanation:
1424-560=864
864÷48=18
Answer:
18
Step-by-step explanation:
$1424-$560= $864
$864 divided by $48 = 18 months
On a coordinate plane, point B is at (1, negative 1). Point B has coordinate B(1, –1). What is the coordinate of B' under a scale factor of 3? (1, –1) (3, –3) (–2, 2) (–6, 6)
Answers
Answer:
(3,-3)
Step-by-step explanation:
If a coordinate (x, y) is dilated by a factor k, the resulting coordinate will be (kx, ky)
Given the coordinate (1, -1), if dilated by a factor of 3, the resulting coordinate will be (3(1), 3(-1)) = (3, -3)
Hence the required coordinate will be (3,-3)
Answer:
b 3 -3
Step-by-step explanation:
have a good day
Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1. Set up the proportion:
Answers
Answer:
[tex]x =24[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Complete the blanks
1: Set up the proportion:
[tex]\frac{9}{6} = \frac{x}{16}[/tex]
2: Use cross product:
[tex]9(16)=6x[/tex]
3: Simplify:
[tex]144 = 6x[/tex]
4: Divide:
[tex]144/6 = 6x/6[/tex]
[tex]24 = x[/tex]
[tex]x =24[/tex]
Answer: 4 cm
Step-by-step explanation:
Please answer this!!!
Answers
Answer:
so a = -1 b = -1/4 and c = 7
Step-by-step explanation:
-x^2 - 1/4x +7
This is in the form
ax^2 + bx +c
so a = -1 b = -1/4 and c = 7
Answer:
[tex]a=-1[/tex]
[tex]b=-\frac{1}{4}[/tex]
[tex]c=7[/tex]
Step-by-step explanation:
Hope this helps:)
A test has several multiple choice questions, each with 5 choices. If you guess on 4 questions, what is the probability that you get all 4 correct
Answers
Answer:
4/20 or 1/5
Step-by-step explanation:
number of guesses/total possible outcomes (formula for this question since it is an independent event)
total possible outcomes: 4(# of questions) x 5(# of possible answers in 1 question)
total possible outcomes: 20
number of guesses: 4 x 1(there are 4 questions and you guess 1 answer for each question)
number of guesses: 4
number of guesses/total possible outcomes = 4/20 or 1/5
(I might be wrong lol, I haven't learned it in a long time)
The diagram shows the shape of a plot of land that Maria will use for her garden.
Quadrilateral F G H J is shown. Sides G H and F J are parallel. The length of F G is 30 feet, the length of G H is 24 feet, and the length of H J is 24 feet. Angles H and J are right angles.
She needs to know the length of each side so she can buy fencing. What is the length of line segment FJ?
18 feet
30 feet
36 feet
Answers
Answer:
42 feet
Step-by-step explanation:
edge
Answer:
The answer is D
Step-by-step explanation:
42 feet
line is defined by the equation 2 x + y = 4. Which shows the graph of this line?
Answers
help help help help help help help
Answers
Answer:
D I believe
Step-by-step explanation:
I may not be correct, but i hope this helps!
2. The direct distance between city A and city B is 200 miles. The direct distance
between city B and city C is 300 miles. Which could be the direct distance between city
C and city A?
1) 50 miles
2) 350 miles
3) 550 miles
4) 650 miles
Answers
Answer:
2
Step-by-step explanation:
If the terminal point of ø is (1,0), what is tan ø?
Answers
Given:
The terminal point of [tex]\phi[/tex] is (1,0).
To find:
The value of [tex]\tan\phi[/tex].
Solution:
If the terminal point of [tex]\theta [/tex] is (x,y), then
[tex]\tan \theta=\dfrac{y}{x}[/tex]
It is given that the terminal point of [tex]\phi[/tex] is (1,0).
Here, x-coordinate is 1 and the y-coordinate is 0. Using the above formula, we get
[tex]\tan \phi=\dfrac{0}{1}[/tex]
[tex]\tan \phi=0[/tex]
Therefore, the value of [tex]\tan \phi[/tex] is 0.
Vani signed up for a streaming music service that costs $12 per month. The service
allows Vani to listen to unlimited music, but if she wants to download
offline listening, the service charges $1.25 per song. How much total money would
Vani have to pay in a month in which she downloaded 30 songs? How much would
she have to pay if she downloaded s songs?
Answers
Answer:
49.5 dollars first part and y=12+1.25x second part
Step-by-step explanation:
what is the average rate of change for the quadratic function for the interval from x = 3 to = 5?
Answers
Answer:
8x.
Step-by-step explanation:
coordinates: (3,10) (5,26)
use slope formula (y2 - y1/x2-x1)
26-10/5-3
16/2
= 8