determine an equation and the radius for the circle that has its centre at the origin (0,0) passes through the point A 4-3
Answers
Given:
The center of the circle is at (0,0).
The circle passes through the point A(4,-3).
To find:
The radius and the equation of the circle.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The radius of the circle is the distance between the points (0,0) and (4,-3).
[tex]r=\sqrt{(4-0)^2+(-3-0)^2}[/tex]
[tex]r=\sqrt{(4)^2+(-3)^2}[/tex]
[tex]r=\sqrt{16+9}[/tex]
[tex]r=\sqrt{25}[/tex]
[tex]r=5[/tex]
So, the radius of the circle is 5 units.
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, (h,k) is center of circle and r is the radius.
Putting h=0, k=0, r=5, we get
[tex](x-0)^2+(y-0)^2=5^2[/tex]
[tex]x^2+y^2=25[/tex]
Therefore, the radius of the circle is 5 units and the equation of the circle is [tex]x^2+y^2=25[/tex].
Related Questions
help me please I need help
Answers
One of my homework problems say: Solve the proportion. X/4=2/5. I am stuck on this one. It will be appreciated if you explain the steps to complete this problem. Thanks for your help!
Answers
Answer:
1.6
Step-by-step explanation:
Given :
X/4 = 2/5
To solve for X ;
We can use cross multiplication ; multiply opposite values :
X * 5 = 2 * 4
5X = 8
To isolate X ;
Divide both sides by 5
5X/5 = 8/5
X = 8/5
X = 1.6
As a manager in a flooring store, you respond to a customer’s inquiry regarding available sizes of square tiles. The customer needs square tiles that measure 1.5 feet on each side. Your store sells square tiles with lengths measured in centimeters. What is the side length, in centimeters, of a square tile that measures 1.5 feet on each side, rounded to the nearest hundredth?
Answers
Answer:
Step-by-step explanation:
1.5ft(12in/ft)(2.54cm/in)=45.72cm
Charlie drove 360 miles in 5 hours.
At the same rate, how many miles would he drive in 8 hours?
Answers
Step-by-step explanation:
5 360
8 x
5x=360•8
x=576miles
1. El perímetro de la figura que se muestra es:
a. 10x2+20y+8
b. 19x2+16y+16
c. 19x2+20y+16
d. 19x2+20y+8
Answers
Answer:
I think is C 19x2+20y+16
Marty and Adam want to share 8/10 feet of rope, equally. What amount of rope should each person get?
Answers
Answer: 2/5 feet
Step-by-step explanation:
From the question, we are informed that Marty and Adam want to share 8/10 feet of rope, equally.
The amount of rope that each person would get would be calculated by dividing 8/10 by 2. This will be:
= 8/10 ÷ 2
= 8/10 × 1/2
= 8/20
= 2/5
Therefore, each person gets 2/5 feet of rope.
A package of 4 pair of insulated socks cost $32.76. What is the unit price of the pair of socks
Answers
Answer:
The answer is 8.19, You have to divide 32.76 by 4(Ps. Sorry I'm not good at explaining)
Quick prints makes custom t-shirts. They charge $10 for each t-shirt ordered plus a $5 design fee. Which situation best represents y, the total cost to order x t-shirts?
Answers
Answer:
y = 10x+5
Step-by-step explanation:
The price of each T-shirt = $10
Design fee on each T-shirt = $5
We need to find the expression for the total cost. Let the total cost be y. So,
Let he has ordered x T-shirts. So,
y = 10x+5
Hence, this is the required solution.
-6n-2n=16
This isn't urgent
Answers
Answer:
n = -2
Step-by-step explanation:
[tex] - 6n - 2n = 16[/tex]
➡️ [tex]( - 6 - 2)n = - 8n[/tex]
➡️ [tex] - 8n \div ( - 8) = 16 \div ( - 8)[/tex]
➡️ [tex]n = 16 \div ( - 8)[/tex]
➡️ [tex]n = - 16 \div 8[/tex]
➡️ [tex]n = - 2[/tex]
BEST ANSWER GETS BRAINLIEST, THANKS ON ANSWER, AND THANKS ON YOUR PROFILE!
Answers
Step-by-step explanation:
Figure ABCD is similar to figure A'B'C'D'. is the correct awnser.
Figure ABCD is similar to figure A'B'C'D'. is the correct awnser.this is became ABCD is reflected over the y-axis so it is simular too A'B'C'D.
A is incorrect because the size of the shape doesn't change when getting reflected.
B and D is incorrect because just by looking at the shape D is not equal to A' or B'
Hope this helps!!
Question 5 of 5
What is the slope of the line through (0, 4) and (3, -2)?
10.4
O A.-2
c
B. 2
O c.
Answers
Answer:
M = -2
Step-by-step explanation:
Your answer is -2
1. Look at the following correlation scatter plot. What type of a correlation is it?
a. Negative correlation
b. Positive correlation
c. Zero correlation
d. All of the above
Answers
Scatter plot is missing, so i have attached it.
Answer:
C : zero correlation
Step-by-step explanation:
A correlation is said to be negative between two variables when they are related in such a manner that when one variable increases, the other variable decreases and vice versa.
However, a correlation is said to be Positive when one variable increases as the other increases as well and vice versa which means they both move in the same direction.
However, in the image of the scatter plot attached, we see that it is neither positive or negative correlation as there is no clear visible relationship between the variables on the x and y axis.
Thus, we can say there is zero correlation.
In ΔTUV, the measure of ∠V=90°, the measure of ∠U=70°, and UV = 9.6 feet. Find the length of TU to the nearest tenth of a foot.
Answers
28.1 feet
explaination
\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}
cosU=
hypotenuse
adjacent
=
x
9.6
\cos 70=\frac{9.6}{x}
cos70=
x
9.6
x\cos 70=9.6
xcos70=9.6
Cross multiply.
\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}
cos70
xcos70
=
cos70
9.6
Divide each side by cos 70.
x=\frac{9.6}{\cos 70}=28.0685\approx 28.1\text{ feet}
x=
cos70
9.6
=28.0685≈28.1 feet
Type into calculator and roundto the nearest tenth of a foot.
PLEASE HELP IMMIDEATIALY BFHBGDWAHDW
Answers
Answer:
zeros and AoS
Step-by-step explanation:
zeros, x = (1 , -7)
AoS:x =-1
GEOMETRY. Need help i will give brainliest
Answers
Answer:
x = 10
Step-by-step explanation:
If two tangent segments are drawn to a circle from an external point, then those segments are congruent.
x+11 = 2x+ 1
x = 10
Answer:
x=10
Step-by-step explanation:
x+11=2x+1
x+10=2x
10=2x-x
x=10
Brillianst!!!!!
A weather station on the top of a mountain reports that the temperature is currently 0 and has been falling at a constant rate of 3 degrees per hour. Find each temperature. What was the temperature: 1 hour ago? degrees 3 hours ago? degrees
Answers
Answer:
Because I SAVAGE
GK IT"S WRONG AHAHHAHHAHA
Neal buys a board game. He pays for the board game and pays $1.54 in sales tax. The sales tax rate is 5.5%.What is the original price of the board game, before tax?
Answers
Answer:
28
Step-by-step explanation:
1.54 divided by 0.055 = 28
Apply the Distributive Property to Simplify the Expression
3(36)
Answers
Answer:
108
Step-by-step explanation:
HELP ME PLASE IM BEGGING YOU
Answers
Answer:
5x+4
Step-by-step explanation:
(7x+1)-(2x-3)
Remove parentheses
=7x+1-(2x-3)
=7x+1-2x+3
Simplify
7x+1-2x+3=5x+4
Solve by graphing
|1x - 1| = |2x - 5|
Answers
Answer:
x=4 or x=2
Step-by-step explanation:
Find the approximate perimeter of AABC plotted
below.
A(2,7)
C(6,7)
B(-4,-3)
Answers
Answer:
29.8 units
Step-by-step explanation:
Answer:
29.8
Step-by-step explanation:
Let f(x)=18/1+3^e-0.1x What is the point of maximum growth rate for the logistic function f(x)? Show all work. Round your answer to the nearest hundredth
Answers
Answer:
(0, 4.5)
Step-by-step explanation:
*The equation can be put into Desmos, to find the point, but the work to prove it is here*
f(x)=c/1+Ae^-Bx
Y=C
C=18 A=3 -B=-0.1
*Replace x with 0 in the equation, so you know 0 is the x value, and it leads you to the y value*
f(0)=18/1+3e^-o.1(0)
= 18/1+3e^0
=18/1+3(1)
=18/1+3
=18/4
=4.5
x=0 y=4.5
Maximum growth rate = (x,y) --> (0, 4.5)
Hope this helps:))!!
What is the perimeter of the parallelogram? 12 cm 6 cm 5 cm 7 cm
Answers
You need to have only 2
For ex: 4 cm and 7 cm
So, P=2• (a•b)
2•(4•7)
P=56cm
Answer:
12
Step-by-step explanation:
A store bought a glass measuring cup at a cost of $1.50 and marked it up 150%. Later on, the store marked it down 80%. What was the discount price?
Answers
Answer:
45 cents
Step-by-step explanation:
Help! If u get it i will mark brainliest!
Triangle QRS is a right triangle. mR = 34° What is mQ? A. 34°, B. 46°, C. 56° D. 66°
Answers
Answer:
c
Step-by-step explanation:
i just did it
A book is 210 pages long; 140 of the pages have images on them. If Patrick opens the book to a random page, what is the probability that the page will have an image on it?
Answers
Answer: as a ratio it’s 140:210 and as a simplified fraction it’s 2/3. But not simplified it’s still 140/210
Step-by-step explanation:
convert 5000 mm = ____ cm
Answers
Answer:
it's 500 cm
HOPE THIS HELPS
Step-by-step explanation:
Answer:
500 cm
Step-by-step explanation:
i did the math
A scientist is growing bacteria. The number of bacteria cells doubles every week. The scientist begins with 30 cells. Write an expression to find the number of cells after x weeks .
Answers
Answer:
2x+30
Step-by-step explanation:
Caroline delivers flowers and earns $1.25 for each rose and $0.75 for each daisy. What is her total pay for a week in which she sold 288 roses and 432 daisies?
Answers
Answer:
She will be paid $684
Fifteen pencils are sold for $750. what is the cost for 1 pencil ?
a. 20
b.50
c.30
d.100
Answers
Answer:
b) 50
Step-by-step explanation:
750/15 = 50