The radius of the circle with the given coordinates is 6.32 units.
What is the circle?A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.
Given that, the point (4,-3) lies on the circle center (-2,5).
Using distance formula we can find the radius of a circle
We know that, Distance =√[(x2-x1)²+(y2-y1)²]
Now, radius =√[(-2-4)²+(5-(-3))²]
=√[(-6)²+(2)²]
= √36+4
= √40
= 6.32 units
Therefore, the radius of the circle is 6.32 units.
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How many 2/3
cup servings are there in a 12-cup pitcher of orange juice?
what is the intersection of plane stxw and plane stv
After the drama club sold 100 tickets to a show, it had $300 in profit. After the next show, it had sold a total of 200 tickets and had a total of $700 profit. Which equation models the total profit, y, based on the number of tickets sold, x?
a. y – 300 = 4(x – 100)
b. y + 300 = 4(x + 100)
c. y + 300 = 2.5(x + 100)
d.y – 300 = 2.5(x – 100)
HELPPPPPPPPPPP
Answer:
Option a : [tex]y-300 = 4(x - 100)[/tex]
Step-by-step explanation:
Given :
The drama club sold 100 tickets to a show, it had $300 in profit.
The next show, it had sold a total of 200 tickets and had a total of $700 profit.
To Find : Equation models the total profit, y, based on the number of tickets sold, x
Solution :
For 100 tickets he had $300 in profit .
⇒ ([tex]x_{1} ,y_{1}[/tex])=(100,300)
For 200 tickets he had $700 in profit .
⇒ ([tex]x_{2} ,y_{2}[/tex])=(200,700)
We will use point slope form i.e.
[tex]y-y_{1} = m(x - x_{1})[/tex] --(A)
Now, to calculate m we will use slope formula :
[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{700 -300}{200-100}[/tex]
[tex]m =4[/tex]
Now, putting values in (A)
[tex]y-300 = 4(x - 100)[/tex]
Thus Option a is correct i.e. [tex]y-300 = 4(x - 100)[/tex]
During a huge snowstorm in the White Mountains last year, it snowed 61.5cm in one day. How much did it snow in meters? Be sure to include the correct unit in your answer.
The snowfall during the snowstorm in the White Mountains was 61.5 cm, which is equivalent to 0.615 meters when converted.
Explanation:To convert the snowfall from centimeters to meters, we need to understand that 1 meter is equivalent to 100 centimeters. With this, to find the snowfall in meters, you simply divide the snowfall in centimeters by 100. So, the snowfall of 61.5 centimeters would be 0.615 meters.
This is because:
1 meter = 100 centimetersTo convert centimeters to meters, divide by 10061.5 cm / 100 = 0.615 metersLearn more about Conversionhttps://brainly.com/question/5561273
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Use the formula m = to calculate the slope of the line.
The slope of the line is .
The slope of the line passing through the points is 2
How to find the slope of a lineThe formula for calculating the slope of a line is expressed as:
m =y2-y1/x2-x1
Given the coordinate points expressed as(2, 8) and (-6, -8). Substitute the given values to have:
m =y2-y1/x2-x1
m =-8 -8/-6-2
M = -16/-8
M = 2
Hence the slope of the line passing through the points is 2
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One number is 4 more than 3 times another. Four times the larger decreased by 5 times the smaller is equal to the smaller subtracted from 32. Find the numbers
The tangent of a 45 degree angle is _____.
1
0
1/2
-1
Which is the best estimate of each percent 48% of 199
The equation of a line is x + 4y = 15.
What is the y-intercept of the line?
415
15
−15
154
Answer:
Option D.
Step-by-step explanation:
Y-intercept form of the equation of a line is given by y = mx + c
Where m = slope of the line
c = y-intercept
Given equation of a line is x + 4y = 15
We will transform this equation into the y intercept form first.
x + 4y = 15
4y = 15 - x
y = [tex]-\frac{x}{4}+\frac{15}{4}[/tex]
Therefore, y - intercept of this equation will be c = [tex]\frac{15}{4}[/tex]
Option D will be the answer.
the formula P=2I + 2w means that the perimeter of a rectangle is equal to twice the sum of its length and its width
Answer:
Step-by-step explanation: simple Answer I got
I=p-2w over 2
Skylar needs to buy a pair of dress pants for $40, a shirt for $30, and a tie for $20. Skylar has three coupons. The first coupon gives him x percent off on a shirt. The second coupon gives him y percent off on the dress pants. The third coupon gives him z percent off on his total purchase. He cannot combine the coupon for the total purchase with the other two coupons. These expressions give both possibilities for the total cost of Skylar's purchase after the coupons are applied. The variables represent percentages as decimals. (1−x)30+(1−y)40+20 (1−z)(40+30+20) Skylar uses the dress pants coupon. Which part of the expression represents the percent that Skylar will pay for the dress pants?
Answer: Hello there!
As we know, the dress pants cost a total of $40, and we also know that Skylar has a coupon of y percent in the dress pants and a coupon of z percent in the total purchase.
In this problem, the question is:
Skylar uses the dress pants coupon. Which part of the expression represents the percent that Skylar will pay for the dress pants?
Ok, if we have a discount of y percent, (where y is represented as decimals) means that you are paying the total price of something ( the 100%) minus the the decimal y multiplied by the price of the object.
this is: $40 - y*$40 = (1 - y)*$40
then if the dress pants cost $40, and Skylar only uses the dress pants coupon, he will pay (1 - y)*$40 for the dress pants.
ok guys so i had trouble on this algrebra question for a while if you can help me out thxs so much: Jenny had 2 apples if she added two more how many would she have altogether. Im stuck plz help
What is R such that PR : RQ = 2/5
Express as a coordinate
How do you solve this equation?
5 (x+2) = 7 (4 - x)
A storeowner places a “No Smoking” sign in front of their store. This would be classified as a type of what factor.
Answer:
external pressure
Explanation:
This is the full question:
A sign in front of a store says "No Smoking.” What kind of factor is this sign?
external pressure
internal pressure
media influence
peer pressure
Find all the real zeros of x3-2x2-5x+6=0.
4x -y =1
I need to get the variable y by its self.
Solve the inequality.
-x/4 ≤ 2
Complete the data set with one value so that the mean of the data is 13.
10,14,8,16,12,____
The value of another number such that mean remains 13 is 18.
What is mean?The mean is the average of a data set. Mean gives us the idea of that how much amount of overall data have.
Mean = sum of data / Number of data
For example, if you have marks in 5 subjects like 40,45,44,46,48 then the mean will be
( 40 + 45+ 44 + 46 + 48) /5 = 44.6.
Let's say that number is x
Then,
Mean = (10 + 14 + 8 + 16 + 12 + x)/6
(60 + x)/6 = 13
x = 18
Hence "The value of another number such that mean remains 13 is 18".
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observation often starts the scientific process observation is useful because it helps scientist_____
a) form questions
b) develop opinions
c) summarize data
d) write laws
What is the range of the following relation?
all real numbers
x ≤ 0
y ≤ 0
y ≤ 0
ExplanationRemember that the range is all the possible y-values that the relation can take. We can see in the picture that the repletion is always bellow of the positive y-axis, so the relation can take only negative y-values or zero. In other words, the range of the relation is all the y-values greater or equal than zero, which we represent with the inequality: y ≤ 0. The domain, on the other hand, is all the real numbers; since x can take any value.
Answer:
y ≤ 0 is the correct answer
Step-by-step explanation:
you gots to see it through mah boi
Answer this question please!
Shannon wants to buy cupcakes for her friend's birthday party. The bakery she goes to sells cupcakes for $3.50 each. The bakery also sells gift cards for $2.00, and Shannon decides to buy one card. If Shannon buys 10 cupcakes, how much money does she spend at the bakery?
Describe the transformation of ΔABC.
A) rotation of 90° about the origin
B) rotation of 60° about the origin
C) rotation of 180° about the origin
D) rotation of 270° about the origin
Answer:
Transformation of ΔABC rotation of 180° about the origin .
Step-by-step explanation:
Given : Coordinates of Δ ABC ,=A ( 3,5) , B( 6,1) , C( 0,1) .
Coordinates of Δ A'B'C' = A' ( -3,-5) , B'(- 6,-1) , C'( 0,-1) .
To find :
Describe the transformation of ΔABC.
Formula used : 180° rotation (clock wise and counter clock wise)
( x , y ) -------> ( -x , -y ).
Solution :
A ( 3,5)-------> A' ( -3,-5).
B( 6,1)---------> B'(- 6,-1).
C( 0,1).---------> C'( 0,-1) .
Therefore, the transformation of ΔABC rotation of 180° about the origin .
i need to know 725 miles in 8 hours miles per hour
divide total miles by time
725/8 = 90.625 miles per hour
Find the vertical, horizontal, and slant asymptotes, if any, for f(x)= 3x^3-28x^2+54x-24/x^2-8+7
Eliminate the parameter. x = square root of t, y = 3t + 7
Answer:
y = x divided by three + 7
Step-by-step explanation:
Express in scientific notation. Make sure your answer has the same number of significant figures as the starting value. 1,645.6 = _____
Mrs.Carson pays Kristen $48 for babysitting 6 hours,and Mr.Vaquez pays her $67.50 for babysitting 9 hours,Who pays Kristin the better salary? Explain your answer
A sporting goods store pays $150 for a rubber raft. The percent of markup is 55%. Find the raft’s selling price.