Find the radius of the given circle with the center at (-2,1) and a point on the circle at (0,3).
Answers
Answer:
The radius of the given circle ( r ) = 2√2
Step-by-step explanation:
Step(i):-
Given that the center of the circle C = ( -2,1)
Given a point on the circle P = (0,3)
The distance between the center and point is called the radius of the circle
CP = radius of the circle
Step(ii):-
[tex]CP = \sqrt{x_{2} - x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]
[tex]CP = \sqrt{(0 - (-2))^{2} +(3-1)^{2} } \\CP = \sqrt{4+4}[/tex]
CP = √8 = [tex]\sqrt{4 X 2} = 2\sqrt{2}[/tex]
Final answer:-
The radius of the given circle ( r ) = 2√2
Related Questions
what percent of 18 is 24
SIDE NOTE:its not 75%
Answers
A store buys an item for $94. The store then prices the item to sell to customers. What is the selling price (in dollars) the store sells the item to customers for after applying a 62% markup? If necessary, round the answer to the closest hundredth.
Answers
Answer:
$152.28
Step-by-step explanation:
In order to determine the markup, multiply the original price by 62%
94 x 62% = 94 x .62 = 58.28
In order to determine the sale price, add the markup to the original price.
94 + 58.28 = $152.28
Antonio tried to evaluate an expression. Here is his work: (57–8+5)÷9(17–14) = (49+5)÷93 Step 1 = (49+5)÷27 Step 2 = 54÷27 Step 3 = 2 Step 4 Is Antonio's work correct?
Answers
Answer:
Antonio's work is correct but his method is not
Step-by-step explanation:
(57–8+5)÷9(17–14) = (49+5)÷9
Antonio work:
Step 1 = (49+5)÷27
Step 2 = 54÷27
Step 3 = 2
Correct working:
Step 1:
Addition first
-8 + 5 = -3
= (57 - 3) ÷ 9(3)
Step 2:
= 54 ÷ 27
Step 3:
= 2
Antonio's work is correct but his method is not
He subtracted first when he is supposed to add first according to the rule of BODMAS
B - bracket
O - off
D - division
M - multiplication
A - Addition
S - subtraction
solve each inequality and graph the solution .
2x-8<4
Answers
Answer:
inequality is x < 6
Step-by-step explanation:
Add. Express your answer in simplest form. 225+445 = $$
Answers
MATH PLSS (I'LL TRY TO GIVE BRAINLIEST)
Answers
Answer:
b
Step-by-step explanation:
the first graph: use the points (0,1) and (4,2) to get a slope of 1/4
function b's slope is 3/4, clearly greater. so B
Brainliest to right answer
Answers
Answer:
4,-2
Step-by-step explanation:
The line passes through the Y Axis and slopes 4 and -2.
Answer:
slope = - [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 4) and (x₂,y₂ ) = (1, - 3) ← 2 points on the line
m = [tex]\frac{-3-4}{1+3}[/tex] = - [tex]\frac{7}{4}[/tex]
A school band is buying new jackets and hats. A jacket
costs $100 and a hat costs $40. The expression 100j + 40h
represents the cost of į jackets and h hats. How much will 5
new jackets and 8 new hats cost?
Answers
Answer:
it will cost 1820
Step-by-step explanation:
add 100 + 40=140 x 13=1820
Hoped it helps
Mr. Demers is making a drink by adding flavor drops to his water. If he puts 3 drops in a 12 ounce glass of water, how many ounces does he use PER DROP?
Answers
Answer:
Step-by-step explanation: if he puts 3 drops in a 12 ounce glass of water he should be using 4 ounces per drop 12 ounces divided by 3 drops gives you 4 ounces per drop
=======================================================
Explanation:
"Per drop" means "per 1 drop" or "for each 1 drop".
We start off with the ratio of
3 drops: 12 ounces
Divide both parts of that ratio by 3 so that "3 drops" turns into "1 drop"
Doing so gets us the new ratio of
1 drop: 4 ounces
So he uses 4 ounces per drop.
how do I solve this
Answers
Answer:
4 hours
Step-by-step explanation:
120-72=48
48÷12=4
Answer:
4
Step-by-step explanation:
The total amount was $120.
A portion of the $120 was for parts.
The rest of the $120 was for service. Service cost $12 per hour.
Start with $120.
Subtract $72 to find the amount spent on service.
$120 - $72 = $48
$48 was spent on service.
The service costs $12 per hour.
$48/($12/hour) = 4 hours
Answer: 4 hours
Check:
$72 in parts + 4 hours * $12/hour = $72 + $48 = $120
4 hours is correct.
Find the value of x I’d appreciate if you could explain as well if not that’s fine
Answers
You can also do 23+23+15+x=360. Adding it all becomes 61+x=360, subtract 61 from both sides of the equation, and you get x=299.
(Something to help remember is that the angle is obtuse, meaning it’s automatically more than 90 degrees, hope this helps!)
I need the equation that passes through the point
Answers
Answer:
y=4/3x+0
Step-by-step explanation:
slope intercept form works right?
y=mx+b
the m is the slope, and the problem gives us the slope. (4/3)
the b is the y intercept (where the line goes through the y) so on our coordinates, the second number is the y, so we have y=4/3x+b
HTH!!
Find the 91st term of the arithmetic sequence 5, -14, -33, ...
Answers
Answer:
-1704
Step-by-step explanation:
5, -14, -33
it goes down by 19 each time
nth term: -19n+25
91st term is 91 times -19=-1729+25=-1704
3,000 is 1/10 of?-
300
300,000
3,000
30,000
Answers
Answer:
30,000
Step-by-step explanation:
3,000 times 10 is 30,000, therefore 30,000/10=3,000
Answer:
Step-by-step explanation:
3000 of 1/10
3000*0.1=300
HELP, NO SCAM ANSWERS PLEASE!
Answers
Answer:
c = 2.99m+ 6.85
Step-by-step explanation:
one time fee of 6.85
2.99 per movie rental
in other words you must pay 6.85
and 2.99 times the number of movies you watch
m = movies watched
c = cost
therefore
c = 2.99m+ 6.85
watching 13 movies at movie mania would mean that m (movies watched) would be 13
put that into the equation:
c = 6.85+ 2.99(13)
c = 6.85+ 38.87
c = 45.72
Please help please please help me please please
Answers
Answer:
8.88
Step-by-step explanation:
With reference angle 42°
hypotenuse (h) = 12
base (b) = x
Now
cos 42° = b / h
0.74 = x / 12
x = 0.74 * 12
x = 8.88
Answer:
the answer is 48 I think
Step-by-step explanation:
I did it by sub 90 and 42
4n - 3 = -2n + 9 when n = 2
Answers
Answer:
Step-by-step explanation:
4n-3=-2n+9, we move the variables in one side and numbers on the other side
4n+2n=9+3
6n=12
divide by 2
n=2
Help plss I will mark as brainlest if correct
Answers
Answer:
ok
Step-by-step explanation:
Answer:
if im not mistaken it should be y=0x+-3
Step-by-step explanation:
well i took the points -8.,0 an -3,0 an got the slope of 0 , so i did the formula y=mx+b m is slope wich is 0 so y=0x+? so i looked at where the line passes through the y axis an it went through at -3 therefore your answer is y=0x+-3
PLEASE HELP!!!
You are graphing quadrilateral ABCD in the coordinate plane. The length of segment AB is the same as the length of segment DC, and both segments are horizontal. The following are three vertices of quadrilateral: A (1, 1), C (4.5, 4), and D (-1.5,4). All you know about point B is that is in the first quadrant.
What are the coordinates of point B?
Answers
Answer:
B(2.75,2.5)
Step-by-step explanation:
B(x,y)
Bx= Ax+Cx 1 + 4.5 5.5
---------- = -------------- = --------- = 2.75
2 2 2
By = Ay+Cy 1 + 4 5
---------- = ----------- = ---------- = 2.5
2 2 2
coordinates of point B(2.75,2.5)
An angle measures 72.2° less than the measure of its complementary angle. What is the
measure of each angle?
º and°
Answers
Answer:
We have the angles as;
8.9 and 72.2
Step-by-step explanation:
When two angles are complementary, they add up to 90
Let the first angle be x , the second angle is 72.2 degrees less and it is x-72.2
Thus, mathematically;
x + x - 72.2 = 90
2x = 90+ 72.2
2x = 162.2
x = 81.1
x = 81.1
The other will be
81.1 - 72.2 = 8.9
How many groups of ten are there in 230
Answers
Answer:
23
Step-by-step explanation:
230/10=23
since it got deleted last time -_-
The coach of a track team is standing on
the outside of a circular track. What is the
maximum distance he can be from one of
his track teammates if the distance from the
coach to the center of the track is 52.4
· feet? Explain how you know your answer is
correct.
Answers
,.....................
Which of the following is equivalent to the image below
A: 6
B: 8
C: 12
D: 64
Answers
Answer: The answer is 8
Step-by-step explanation: first you solve 16 to the 1.5 power (3/2=1.5) and that gives you 64. Then 64 to the .5 power (1/2=.5) and that gives you 8.
In ΔTUV, the measure of ∠V=90°, VT = 45 feet, and TU = 90 feet. Find the measure of ∠T to the nearest degree.
Answers
Answer:
60 on delta math
Answer:
60
Step-by-step explanation:
delta math answer
Please answer all of it. If good explanation will mark as brainliest.
Answers
Answer:
3. H
4.O
5.O
6.O
Step-by-step explanation:
Oblique asymptote: When the numerators highest exponent is 1 more than the denominators highest exponent. (x^2 is higher than x^1)
Horizontal asymptote: When the exponents are equal. (x = x, x^2 = x^2)
Sorry I don't know how to do the second part but I hope this helps.
HELP AS SOON AS POSSIBLE PLEASE!
Answers
Answer: A is correct
Step-by-step explanation:
all possible chances between two people are 100 different possibilities. Once you add the possibilities, you can see there is 15 balloons with the medium prize. Multiply 15 by 2 and you'll get 30/100, which simplifies to 3/10
change 9.65kg into grams
Answers
Answer:
9650
Step-by-step explanation:
Step-by-step explanation:
=(9.65×1000) grams
=9650grams
hope it helps.
Pls help me I’ll give 100 points
Answers
Answer:
Try option B
Step-by-step explanation:
sub to Pen Paper
Hi there!
So what we have to do here is...
turn 2³ - 1 into 2·2·2-1=4·2=8-1=7.
[tex]\frac{35}{7}=5[/tex]
Final Result: 5
(2x10^5) divided by (4x10^2)
Answers
Answer:
[tex]\huge\boxed{0.5\times10^3=0.5\times1,000=500}[/tex]
Step-by-step explanation:
[tex](2\times10^5)\div(4\times10^2)=\dfrac{2}{4}\times\dfrac{10^5}{10^2}\\\\\text{use}\ \dfrac{a^n}{a^m}=a^{n-m};\ a\neq0\\\\=0.5\times10^{5-2}=0.5\times10^3=0.5\times1,000=500[/tex]
When the British system of units was first developed, what was the most
common object used as a basis for measuring length?
A. Animals
B. The king's castle
C. The human body
D. Automobiles
