Given:
Center of a circle is (3,9).
Solution point is (-2,21).
To find:
The standard form of the circle.
Solution:
Radius is the distance between center (3,9) and the solution point (-2,21).
[tex]r=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]r=\sqrt{(-2-3)^2+(21-9)^2}[/tex]
[tex]r=\sqrt{(-5)^2+(12)^2}[/tex]
[tex]r=\sqrt{25+144}[/tex]
On further simplification, we get
[tex]r=\sqrt{169}[/tex]
[tex]r=13[/tex]
The radius of the circle is 13 units.
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, (h,k) is the center and r is the radius.
Putting h=3, k=9 and r=13, we get
[tex](x-3)^2+(y-9)^2=(13)^2[/tex]
[tex](x-3)^2+(y-9)^2=169[/tex]
Therefore, the standard form of the circle is [tex](x-3)^2+(y-9)^2=169[/tex].
plz i need help!
Evaluate the expression when x = 9.2 and y = 3.4.
5xy
Answer:
The answer is 156.4
Step-by-step explanation:
5(9.2)(3.4)
156.4
Franklin lives in a state that charges property tax on vehicles. He has a SUV worth $1, and the yearly property tax is $12.38 for every $1, of value. How much will he pay in yearly property tax?
Answer: $12.38
Step-by-step explanation:
Property taxes are charged on vehicles and Franklin has an SUV. He will therefore be charged property taxes on the SUV.
The SUV is valued at $1.
The yearly property tax is $12.38 per $1.
Franklin's property tax will therefore be $12.38 because the SUV is worth $1.
Find the slope of the given point.
(19,3) (20,8)
Answer:
5
Step-by-step explanation:
as x goes up one y goes up 5
slope is change in y over changes in x
5/1=5
What is the lowest common denominator of the following two fractions?
1/9 and 1/6
Answer:
18
Step-by-step explanation:
Can some one answer quickly please
Answer:
the answer is A -1/3 x
Step-by-step explanation:
hope this helps :)
Diamond is playing a game. In the game she has to spin a spinner
that is divided into 4 equal sections of green, red, blue, and yellow.
What is the probability that on her first spin she will land on green
and then red on her second spin?
Answer: 1/16
In decimal form, this is equivalent to 0.0625
=====================================================
Explanation:
Each of the four sections are of equal area, so that means the probability of landing on any given color is 1/4.
The probability of landing on green first is 1/4, then followed by red is another 1/4. We multiply these fractions. This is valid because each event of spinning the spinner is independent of one another. None of the spins affect any others.
We then get (1/4)*(1/4) = (1*1)/(4*4) = 1/16
The probability of Diamond landing on the green on her first spin and then red on her second spin is 1/16.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required event / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
Assuming that each section of the spinner has an equal chance of being landed on, the probability of landing on the green on the first spin is 1/4.
Since each spin is independent of the others, the probability of landing on red on the second spin is also 1/4.
To find the probability of both events happening, we multiply the probabilities of each event:
P(green and red) = P(green) × P(red) = 1/4 × 1/4 = 1/16
Therefore,
The probability of Diamond landing on the green on her first spin and then red on her second spin is 1/16.
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Deborah spent $70 on food and clothes. She spent $26 more on clothes than on food. On your worksheet, solve the question and write your answer below. How much did she spend on food and how much did she spend on clothes?
Answer:
the spent on food would be $23
And for clothes it would be = $23 + $24 = $47
Step-by-step explanation:
Let us assume the food be x
So for clothes it would be x + $24
And, the total spent on food and clothes is $70
So the equation is
x + x + $24 - $70
2x = $70 - $24
2x = $46
x = $23
So, the spent on food would be $23
And for clothes it would be = $23 + $24 = $47
A children's ride at an amusement park has a rule that a person must be shorter than 4 feet tall to ride it.
Create an inequality that shows the height 3, in feet, a person must be to go on this ride.
Answer:
Step-by-step explanation:
Determine whether the following is a statistical question.
How many teeth does Edna have in her mouth?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Statistical
(Choice B)
B
Not statistical
Answer:
Not statistical
Step-by-step explanation:
This isn't a statistical question because if you try to find out how many teeth are in other people's mouths you still won't know how many are in Edna's mouth because everyone is different. Hope this helps! :)
3) Sue bought a triangular shaped piece of wood
with a height is 6 inches and a base of 2 inches.
She plans to cover the front with a piece of
fabric, how much fabric will she need?
Answer:
12 inches of fabric
Step-by-step explanation:
Area of a triangle = hight x base
so 6 x 2 = 12
12 inches of fabric is your answer
Hope this helps :)
If she plans to cover the front with a piece of fabric. Then the amount of fabric that she needs will be 6 square inches.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Sue bought a triangular-shaped piece of wood with a height is 6 inches and a base of 2 inches.
She plans to cover the front with a piece of fabric.
Then the amount of fabric that she needs will be
The amount of fabric is given by the area of the triangle.
The area of the triangle will be
Area = 1/2 x 2 x 6
Area = 6 square inches
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find the domain of the function y=-e^x-3
9514 1404 393
Answer:
all real numbers
Step-by-step explanation:
The domain of any exponential function is "all real numbers."
-∞ < x < ∞
Theo wants to pick out an outfit for the school dance he can choose from four pairs of pants 5 shirts and 2 pairs of shoes how many different outfits does Theo have to chose from
Answer:
40
Step-by-step explanation:
Pair of pants = 4
Number of shirts = 5
Pair of shoes = 2
Number of different outfits possible :
Pair of pants * number of shirts * pair of shoes
4 * 5 * 2
20 * 2
= 40
given 7x + 2 is greater or lesser than 58 which number is not in the solution set.
(1).6
(2).8
(3).10
(4).12
Question 10 of 10 Which choices are equivalent to the quotient below? Check all that apply. 16 A. 2 B. 2 millel C. VE D. 2 O E. సుత మన నదు OF.
Answer:
B
Step-by-step explanation:
A tram has an initial velocity of 300m/minute ◦ It travels a distance of 0.5km in 20 seconds
◦ What is the acceleration of the tram in m/s2?
If you could please help me, it would be greatly appreciated?
Answer:
Step-by-step explanation:
[tex]d=vt-\frac{at^2}{2} \\ \\ a=\frac{2(d-vt)}{t^2} \\ \\ a=\frac{2(500-300(20)}{20^2} \\ \\ a=-27.5 \frac{m}{s^2}[/tex]
The acceleration of the tram is 1 m/s^2.
To find the acceleration of the tram, we can use the following equation:
acceleration (a) = (change in velocity) / (time taken)
First, let's convert the initial velocity to m/s:
Initial velocity = 300 m/minute
To convert to m/s, we need to divide by 60 (since there are 60 seconds in a minute):
Initial velocity = 300 m/minute ÷ 60 seconds/minute = 5 m/s
Now, let's find the final velocity. The tram travels a distance of 0.5 km in 20 seconds.
Distance traveled = 0.5 km = 500 m (since 1 km = 1000 m)
Time taken = 20 seconds
Now, we can find the final velocity (v) using the formula:
v = (change in distance) / (time taken)
v = 500 m / 20 seconds = 25 m/s
Next, we can find the change in velocity:
change in velocity = final velocity - initial velocity
change in velocity = 25 m/s - 5 m/s = 20 m/s
Finally, we can calculate the acceleration:
acceleration (a) = (change in velocity) / (time taken)
acceleration (a) = 20 m/s / 20 seconds = 1 m/s^2
So, the acceleration of the tram is 1 m/s^2.
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Select the two values of x that are roots of this equation 3x^2 + 1 =5x ??
PLZZ HELP
Answer:
x = .23
x = 1.43
Step-by-step explanation:
1. The root of a polynomial is when the y-value equals 0. So set the equation euqal to 0:
[tex]3x^{2} -5x+1=0[/tex]
2. Solve with the quadratic formula and you get:
[tex]\frac{5+\sqrt{13} }{6}[/tex] and [tex]\frac{5-\sqrt{13} }{6}[/tex] which is x = .23 and x = 1.43.
Answer:
here is my answer
Step-by-step explanation:
Jacob is building a rectangular prism for a class project. He needs
to cover the entire prism in aluminum foil. The length of the prism
is 8 centimeters, the width is 6.5 centimeters, and the height is 3
centimeters. How much aluminum foil will Jacob need for his
project?
Answer:
156 centimeters
Step-by-step explanation:
its very simple
8*6.5*3=156
Surface area of a rectangular prism is the sum area of the six sides.
A=2(xy+xz+yz)
A=2(8(6.5)+8(3)+6.5(3))
A=2(52+24+19.5)
A=2(95.5)
A=191 cm^2
Coach Thomas brings his baseball team to get ice cream after each Friday night game. Last week, he purchased 9 cones and 8 cups of ice cream and payed $53.50. This week he purchased 6 cones and 11 cups of ice cream and paid $51.25. Write and solve a system of linear equations to determine the cost of each cone and each cup.
Cups:
Cones:
Answer:
(3.5, 2.75)
source: trust me bro
a) Change 9 out of 50 to a percentage.
Hey there! Your question’s answer would be 18%..
Ok so 9/50 would be 9% out of 50% which is also 100%. If you want to find 50% turn to 100%, multiply 50 with 2 to get 100.
So you do the same thing to 9%. 9 times 2 would be 18%.
Final Result: 9% out of 100% (whole)
9 out of 50 in percentage equivalent terms will be 18% .
Given, 9 out of 50 to a percentage .
Convert fractions to percentage.
Multiply fraction by 100 , the result will be in percentage .
Fraction = [tex]\frac{9}{50}[/tex]
Percentage equivalent
[tex]\frac{9}{50} \times 100\\= 18[/tex]
Thus the percentage equivalent is 18% .
Know more about fraction to percentage,
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Can whoever answers this answer one of the questions on my account I have like 20 minutes to answer them.
Answer:
What-
Step-by-step explanation:
Answer: What?
Step-by-step explanation:
Solve for the variable: 6/25 = d/30
Answer:
d = 7.2
Step-by-step explanation:
We can cross multiply the equation to get:
6 * 30 = 25 * d
(* is multiplication sign by the way)
180 = 25d
Divide both sides by 25 to get:
d = 7.2
In the figure below, AB is a diameter of circle P.
What is the arc measure of major arc ABC in degrees?
Answer: 249
Step-by-step explanation: Khan Academy
Answer:
111
Step-by-step explanation:
GOT IT RIGHT!
8 = 6 + a/4 a=___ help
Answer:
a=8Step-by-step explanation:
6+a/4 = 8a/4=8-6a=4×2a=8Hi! hope youre having a nice day! i was just wondering if you could make my day nice? pleaseeee! its very simple but ive been struggling. thank you so much! and i hope its enough points for you! and please no scams!
Answers:
11. b. 4x + 2
12. c. 25(x + 2)
13. b. 8gh
14. a. 10(5x + 1)
15. a. 2x + 2
16. c. 4 units by (2x - 3)
17. c. 6(x + 10)
18. c. 5r + 35
19. b. Identity Property of Addition
Brainliests are always appreciated but not required :)
Answer:
11.
(x+4)+(3x-2)
x+3x+4-2
4x+2
12.
25x+50
25(x+2)
13.
16gh, 56gh
8gh
14.
50x+10
10(5x+1)
15.
(14x-2)-(12x-4)
14x-2-12x+4
2x+2
16.
8x-12
4(2x-3)
17.
6x+60
6(x+10)
18.
5(r+7)
5r+35
19.
This demonstrates the Identity Property of Addition, which basically states that adding zero to a number does not change the number.
Let me know if this helps!
Which graph below does not represent a
function of x?
5
5
4
A.
12345
C. 12345
B.
Answer:
I don’t see any graphs. Try copying android pasting images.
Step-by-step explanation:
A x function should not have two y values for the same x value. Therefore, option C is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
In the graph C we can see for x value 1 there are two y-values 2 and 3.
For the x value 2 there are two y-values 2 and 3.
Because an x function should not have two y values for the same x value.
Therefore, option C is the correct answer.
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Solve: StartAbsoluteValue StartFraction x Over 6 EndFraction minus StartFraction 7 Over 12 EndFraction EndAbsoluteValue equals StartFraction 11 Over 6 EndFraction. =
Negative Direction:
– 3 lines of math labeled Positive Direction. The first line is: StartFraction x Over 6 EndFraction minus StartFraction 7 Over 12 EndFraction equals negative StartFraction 11 Over 6 EndFraction. The second line is: StartFraction x Over 6 EndFraction equals StartFraction 29 Over 12 EndFraction = –
= –2 lines of math labeled Negative Direction. The first line is: StartFraction x Over 6 EndFraction minus StartFraction 7 Over 12 EndFraction equals negative StartFraction 11 Over 6 EndFraction. The second line is: StartFraction x Over 6 EndFraction equals negative StartFraction 15 Over 12 EndFraction
Positive Direction:
– =
=
Determine the values for x by completing the steps shown.
x = x equals StartFraction 29 Over 2 EndFraction or x equals negative StartFraction 15 Over 2 EndFraction or x = –
x = –x equals negative StartFraction 29 Over 2 EndFraction or x equals StartFraction 15 Over 2 EndFraction or x =
x = –x equals negative StartFraction 29 Over 2 EndFraction or x equals negative StartFraction 15 Over 2 EndFraction or x = –
x = x equals StartFraction 29 Over 2 EndFraction or x equals StartFraction 15 Over 2 EndFraction or x =
Answer:
x = 29/2 or x = -15/2
Step-by-step explanation:
When a number is added to itself the result is 49.
Answer:
24.5
Step-by-step explanation:
24.5 + 24.5 = 49
cuánto es 2995 más 3495
Answer:
6490
Step-by-step explanation:
Answer:
6490
Step-by-step explanation:
Which algebraic expression is equivalent to the expression below? ( t/3 + 12) + (t/9 + 6)
Answer:
4t/9 + 18
Step-by-step explanation:
Name the central angle of the given arc.