HELP THIS IS DUE TODAY I WILL NAME YOU THE BRAILIEST!!!!!!!
Determine the equation of the circle graphed below.
Answers
Answer:
[tex](x-4)^2+(y+3)^2=20[/tex]
Step-by-step explanation:
The equation of a circle with center [tex](h,k)[/tex] and radius [tex]r[/tex] is given by [tex](x-h)^2+(y-k)^2=r^2[/tex].
What we know:
Center at [tex](4,-3)[/tex]To find the radius, we can use the distance formula. For points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex], the distance between them is [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].
Let
[tex](x_1,y_1)\implies (-4, -3),\\(x_2,y_2)\implies (8,-1)[/tex]
[tex]r=\sqrt{(8-4)^2+(-1-(-3))^2},\\r=\sqrt{4^2+2^2},\\r=\sqrt{20}=2\sqrt{5}[/tex]
Thus, the equation of this circle is
[tex](x-4)^2+(y-(-3))^2=\sqrt{20}^2,\\\boxed{(x-4)^2+(y+3)^2=20}[/tex]
Related Questions
Brittany’s Hot Tub. When draining her hot tub, the height of the water in Brittany’s hot tub decreases at a rate of 2 inches per minute. After 9 minutes there are 11 inches of water in the tub. Assume that the height is decreasing at a constant rate.
a. Write an equation for the height of water left in the tub (h) as a function of the number of the minutes (t) that have elapsed.
b. How high is the tub when it is full?
c. After how many minutes will the tub be empty?
d. What values of the domain, t, make sense? Why?
e. What values of the range, h, make sense? Why?
Answers
Answer:
a. h = -2t + 29
b. 14.5 inches (not sure)
c. 5 1/2 minutes
d. The domain means the amount of time elapsed.
e. The value of h means the height of the water left
Step-by-step explanation:
Use the perfect square trinomial identity to write this expression in factored form:
x2 + 10x + 25.
Answers
(X + 5)^2
Answer:
[tex] {x}^{2} + 10x + 25 \\ = ( {x}^{2} + 10x + {5}^{2} ) + (25 - {5}^{2} ) \\ = {(x + 5)}^{2} [/tex]
Simplify (6x^2 − 8x) ÷ (2x) step by step
a. 2x − 3
b. 2x + 3
c. 3x − 4
d. 3x − 8
Answers
Answer:
3x - 4
Step-by-step explanation:
(6x^2 − 8x) ÷ (2x) =
(6x^2)/2x - 8x/2x =
3x - 4
Answer:
(C). 3x - 4
Step-by-step explanation:
It will be easily to break this down so,
6/2=3
x^2/x=x
therefore, 6x^2/2x = 3x
Minus stay minus
8/2 = 4
x/x=1
therefore, 8x/2x=4
If we put it all together,
3x - 4
if this helps you, please give brainliest!
Leo bought 50 lbs of clay for his art projects. He used 12.5 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs did Leo make if he had 27.42 lbs of clay left over?
Answers
Answer:
Total number of mug = 14 mugs
Step-by-step explanation:
Given:
Total amount of Clay Leo bought = 50 lbs
Total amount of Clay left = 27.42 lbs
Total amount of Clay used in sculpture = 12.5 lbs
Amount of clay each muh need = 0.72 lbs
Find;
Total number of mug
Computation:
Assume;
Total number of mug = a
So,
Total amount of Clay Leo bought = Total amount of Clay left + Total amount of Clay used in sculpture + (Amount of clay each muh need)(Amount of clay each muh need)
50 = 27.42 + 12.5 + (0.72)(a)
50 = 39.92 + (0.72)(a)
(0.72)(a) = 10.08
a = 14
Total number of mug = 14 mugs
(I NEED HELP ASAP) In a class, there are 25 boys and 15 girls. If a student is selected at random, what is the probability that the student is a boy?
15/25
3/8
25/15
5/8
Answers
Answer: 3rd
Answer: 3rd
25/15
20% of j is 12 what is j
Answers
Answer:
60
Step-by-step explanation:
20/100 * j = 12
j = 12 * 100/20
j = 60
someone help tysm will give brainliest !!
Answers
Answer:
11. A) x = 2 . B) x=-1 . C) x = 0
12. A) y = 20 . C) y = -3 . D) y = 0
Step-by-step explanation:
When the line is vertical, take the x coordinate
When the line is horizontal, take the y coordinate
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
pls pls pls help don't ignore imma fail
Answers
Answer:
6 as b
7 as a
Step-by-step explanation:
if indeed the scale is 3 to 1, this is correct! the answer is B
what is the area of the figure below
Answers
Answer:
58cm2
Step-by-step explanation:
put it in section and them slove
so area of triangle = b×h÷2= 6×3/2=9cm2
area of terpizium = 5(4+6)/2=25cm2
area of triangle = 8×6÷2=20cm2
add all these together You get 58cm2
hope this helps :)
please please HELP me! this is due tonight
explaining your answer = brainliest/five star rating
the peremiter is 15 cm. c = ___ cm?
Answers
Answer:
4
Step-by-step explanation:
the perimeter is the the total length of the shape. we already know that the two sides is 8, and 3 cm. we also know that the perimeter is 15cm. 8+3 is 11 so we need to figure out the remaining length of the side. 15-11 is 4 so the missing length, c, is 4 cm.
the Angle opposite The OPP is
Answers
Answer:
Theta
Step-by-step explanation:
Indeed all angles of a triangle have a opposite side. And in trigonometry, the side opposite to theta is opposite side
The population P (in thousands) of a certain city from 2000 through 2014 can be modeled by P = 160.4ekt, where t represents the year, with t = 0 corresponding to 2000. In 2007, the population of the city was about 162,075. Find the k value
Answers
Answer:
The k value is [tex]k = 0.0015[/tex]
Step-by-step explanation:
Population:
The population P(in thousands), of the city, in t years after 2000, is given by the following equation:
[tex]P(t) = 160.4e^{kt}[/tex]
In 2007, the population of the city was about 162,075.
This means that [tex]P(7) = 162.075[/tex], that is, when [tex]t = 7, P(t) = 162.075[/tex]
Find the k value
[tex]P(t) = 160.4e^{kt}[/tex]
[tex]162.075 = 160.4e^{7k}[/tex]
[tex]e^{7k} = \frac{162.075}{160.4}[/tex]
[tex]\ln{e^{7k}} = \ln{\frac{162.075}{160.4}}[/tex]
[tex]7k = \ln{\frac{162.075}{160.4}}[/tex]
[tex]k = \frac{\ln{\frac{162.075}{160.4}}}{7}[/tex]
[tex]k = 0.0015[/tex]
The k value is [tex]k = 0.0015[/tex]
13 In a school, students must study at least one language from German, French and Spanish.
DO NOT WRITE IN THIS AREA
There are 30 students in a class of this school.
Of these students
7 study all three of the languages
10 study both German and French
12 study both Spanish and German
9 study both French and Spanish
16 study Spanish
18 study German
Work out the total number of the students in the class who study French.
You may use the Venn diagram to help with your calculations.
Answers
Answer:
20 students
Step-by-step explanation:
looking at the venn diagram above you calculate all the numbers in the French circle which total to 20.
What is the volume of a rectangular prism with a length of 5 cm, width of 4cm, and height of
9cm?
Answers
Answer:
180cm^3
Step-by-step explanation:
All you have to do is multiply everything together to get the volume. l x w x h
Answer:
The answer is 180 cubic centimeters.
Step-by-step explanation:
To find the volume of the rectangular prism, use the formula V= LWH. Next, plug in the information given from the question, and the formula will look like V= (5cm) (4cm) (9cm).
Then, solve the equation for the answer, and the answer will be 180 cubic centimeters.
Find the volume of the sphere.
Either enter an exact answer in terms of 1 or use 3.14 for and round your final answer to the nearest
hundredth.5
Answers
Answer:
The volume of the sphere is 523.60
Step-by-step explanation:
The formula for volume of a sphere is :
V = [tex]\frac{4}{3} \pi r^{3}[/tex]
The radius of this sphere is 5, so let's plug that into our equation.
V = [tex]\frac{4}{3}[/tex] · [tex]\pi[/tex] · [tex]5^{3}[/tex]
≈ 523. 59878
Rounded to the nearest hundreth that is 523.60.
What is the slope of the line? Khan academy 15 points
Answers
Answer:
m = -8/5
Step-by-step explanation:
First determine how much x changes as we go from the first point to the second: -1 to +4. This change (the 'run') is 5 units.
Then find the change in y: -4 - (4) = -8. This change (the 'rise') is -8.
Thus the slope m = rise / run is m = -8/5
this is timed and I just need to see if i’m right! please check my work :)
Answers
Answer Please
...................................................................
Answers
Answer:
Step-by-step explanation:
In rectangle , diagonals are equal and bisect each other.
FI = EI
6x - 5 = 2x + 7 {subtract 2x from both side}
6x - 2x -5 = 7
4x - 5 = 7 {Add 5 to both sides}
4x = 7 +5
4x = 12 {Divide bot sides by 4}
x = 12/4
x = 3
EI = 2x + 7 = 2*3 +7 = 6 +7
EI = 13 units
EG = 2 *EI = 13 * 2
EG = 26 units
ΔFIG is an isosceles triangle.
∠IGF = ∠IFG = x
x + x + 120 = 180 {Angle sum property}
2x + 120 = 180 {Subtract 120 form both sides}
2x = 180 - 120
2x = 60
x = 60/2
x = 30
∠IGF = ∠IFG = 30
EH // FG and FH is transversal.
∠IHE = ∠IFG {Alternate interior angles}
∠IHE = 30°
The angle of depression from the top of a cliff to an ant on the ground is 35 degrees. If the ant is 280 feet from the base of the cliff, how tall is the cliff.
Answers
Answer:
Answer: 315
Step-by-step explanation:
Select the correct answer.
Joseph plots the speed of his car and time on a scatter plot. The equation for the line of best fit on his scatter plot is y = -15x + 60, where x is the time in hours and y is the speed in miles/hour. Which statement describes the situation correctly?
A.
The initial speed is 60 miles/hour, and his speed decreases by 15 miles/hour every hour.
B.
The initial speed is 60 miles/hour, and his speed increases by 15 miles/hour every hour.
C.
The initial speed is 0 miles/hour, and his speed increases by 15 miles/hour every hour.
D.
The initial speed is 5 miles/hour, and his speed increases by 30 miles/hour every hour.
Answers
Answer:
its be without a doubt
Step-by-step explanation:
The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (4,96) and (6,144) to find
the number of soda bottles the machine can make
each minute.
Answers
Answer:
The machine can make 24 bottles of soda per minute
Step-by-step explanation:
Looking at the graph of the relationship, we can see that the number of bottles per minute simply represent the slope of the line
Thus, by calculating the slope using the given points, we can have the number of bottles per minute
We have the formula as;
m = (y2-y1)/(x2-x1)
(x1,y1) = (4,96)
(x2,y2) = (6,144)
m = (144-96)/(6-4) = 48/2 = 24
What is point d on the coordinate
Answers
Algebra
The formula to find the coordinate is (x,y)
Meaning, point D is (1,4)
Hi there!
»»————- ★ ————-««
I believe your answer is:
(1,4)
»»————- ★ ————-««
Here’s why:
We can tell from the graph that point 'D' is located one unit right and 4 units up from the origin. This means that point 'D' is (1, 4).⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
In the month of agust, joes snack shack sold 400 sandwiches. If 40% of them were made with chicken, how many chicken sandwiches were sold?
Answers
Answer: 160 chicken sandwiches were sold.
To convert a percentage into a decimal, move the decimal two places back.
40%=0.40, or 0.4
This means that 0.4 is still equivalent to 40%
Remember that "of" means multiplication.
So 0.4*400=160
160 chicken sandwiches were sold
Just help me out
Brainlist will be given
Answers
Answer:
Answer is 18 , because you add 15 and 3 which makes 18 so your answrer is x=18
Step-by-step explanation:
really hope this helped , please give me brainlest :) .
AC = 15 x 1.8 = 27
So x = 17
(this is for ABE similar to ACD)
15+3=18
18/15= 1.2
scale factor= 1.2
10x1.2= 12
12-10=2
x=2
(this is for AEB similar to ADC)
what is the 66th term in the following arithmetic sequence
-93, -85, -78, -71
Answers
Answer:
d= a2- a1
hence d= -85-(-93) = -85+93 = 8
a1= -93
d= 8
n=66
hence a66=a1+(n-1)d
a66= -93+ 65(8)
=-93+520
=427
66th term=427
pls mark as brainliest
Please help me on this question.
Answers
Answer:
This is the ans i think this is right
The length of the diameter of a sphere is 8 inches. The volume of the sphere is
_______. the surface area of the sphere
A. equal to
B. less than
C. greater than
Answers
Decrease 80ml by 40%
Answers
Answer:
48ml
because its the correct answer!
Answer:
48 ml
Step-by-step explanation. 80, percentage decreased by 40% (percent) of its value = 48
Use the spinner to find the theoretical probability of the event.
The theoretical probability of spinning a multiple of 2 is
Answers
Answer:
1/2
Step-by-step explanation:
Theoretical probability is probability based on reasoning.
In the spinner there are 6 segments, of those 6 segments there are three multiples of two: 2,4,6
Therefore the probability of spinning a multiple of two is 3/6 (or 1/2)
Need help please. Giving 15 points for answering correct!!
Answers
Answer:
the first one
Step-by-step explanation: