Write the standard equation of the circle with center (-12, – 7) that passes through the point (-3,7).
Answer:
[tex](x + 12)^2 + (y + 7)^2 = 277[/tex]
Step-by-step explanation:
Equation of a circle:
The equation of a circle with center [tex](x_0,y_0)[/tex] is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In which r is the radius.
Center (-12, – 7)
This means that [tex]x_0 = -12, y_0 = -7[/tex]. So
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
[tex](x - (-12))^2 + (y - (-7))^2 = r^2[/tex]
[tex](x + 12)^2 + (y + 7)^2 = r^2[/tex]
Passes through the point (-3,7).
This means that we use [tex]x = -3, y = 7[/tex] to find the radius squared. So
[tex](x + 12)^2 + (y + 7)^2 = r^2[/tex]
[tex](-3 + 12)^2 + (7 + 7)^2 = r^2[/tex]
[tex]81 + 196 = r^2[/tex]
[tex]r^2 = 277[/tex]
The equation of the circle is:
[tex](x + 12)^2 + (y + 7)^2 = r^2[/tex]
[tex](x + 12)^2 + (y + 7)^2 = 277[/tex]
Write 3/10 as a
percent.
Answer:
Answer: 3/10 can be written as 30 percentage.
Step-by-step explanation:
Answer:
30%
Step-by-step explanation:
Divide 3 by 10:
Multiply this decimal by 100 to find the percentage:
3/10 in percent form is 30%.
Solve the following problem. Round answer to two decimal places when necessary.
A = 4
B = 9
C = 11
D = A + 2B - C
D = ?
Answer:
D = 11
Step-by-step explanation:
A = 4
B = 9
C = 11
D = 4 + (2 * 9) - 11
D = 4 + 18 - 11
D = 22 - 11
D = 11
brainliest plz
Please help due in a few hours !!!!!!
I NEED HELP WITH THIS QUESTION QUICK PLEASE!!
Answer:
y=5x+6
Step-by-step explanation:
WILL MARK BRAINLIEST! Solve for X in the provided picture. Thank you!
Answer:
122
Step-by-step explanation:
better make me brainliest
3.2n as a algebraic expression
Answer:
I believe it's 3.2*n
Step-by-step explanation:
Susan finished her chores at 4:25. It took her 11 minutes to sweep the floor, 26 minutes to fold the laundry, 18 minutes to do the dishes, and 7 minutes to empty the garbage and recycling. At what time did Susan start her chores?
Answer:
She started at 3:23
Step-by-step explanation:
and what grade are you in?
4:25 - :11 = 4:14
4:14 - :26 = 3:48
3:48 - :18 = 3:30
3:30 - 7 = 3:23
3:23How many different 12 member juries can be chosen from a pool of 20 people?
Answer:
1,007,760
Step-by-step explanation:
This is a question that bothers on selection
Using the combination formula
nCr = n!/(n-r)!r!
20C12 = 20!/(20-12)!12!
20C12 = 20!/8!12!
20C12 = 20*19*18*17*16*15*14*13*12!/8!12!
20C12 = 20*19*18*17*16*15*14*13/8!
20C12 = 20*19*18*17*16*15*14*13/8*7*6*5*4*3*2
20C12 = 5,079,110,400/5040
20C12 = 1,007,760
Hence this can be done 1,007,760 different ways
M = 19 - 3 please ANSWErrrr
Answer:
16
Have a great day!
Please help me with this
Answer:
8
Step-by-step explanation:
To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode. Therefore if you look at the chart you can see that one more people get 8 than 9, 10, or 5.
Hope this helps
Please inform me if I have made a mistake, I enjoy learning from my mistakes:)
Maddie
cara played a card game using a deck of 52 cards after she dealt the same number of cards to 4 players she had 24 cards left over how many cards did each player get
Answer:
7Step-by-step explanation:
Assume each player get x cards. Total number of cards now is 4x+24=52.
Therefore, 4x=52-24=28.
Then, x= 28/4=7.
24. Look for Patterns Copy and complete
the sequence of numbers.
7.5, 6.25,5,
Answer:
aₙ = 7.5 - 1.25*(n-1)
Step-by-step explanation:
a₁ = 7.5*1.25(1-1) = 7.5
a₂ = 7.5*1.25(2-1) = 6.25
a₃ = 7.5*1.25(3-1) = 5.0
.....
aₙ = 7.5 - 1.25*(n-1)
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
y=1/2x
Step-by-step explanation:
math is math
i’m having trouble on my last one
Answer: 52
Step-by-step explanation:
First, divide 13 by the total amount of shows, 19. Then, divide 76 by 19. This results in 4, which when multiplied by 13, results in 52. To check the answer just divide 52/76 and you should get the same number as with 13/19.
If a triangle is reflected across the y-axis, what are the coordinates of the image of point F? Use FGH to answer the question.
RQ= x+1 QP=7 RP=2x+8 solve for RP
Answer:
RP = 8
Step-by-step explanation:
RQ + QP = RP (segment addition theorem)
(x + 1) + 7 = 2x + 8 (substitution)
Add like terms
x + 8 = 2x + 8
8 - 8 = 2x - x
0 = x
x = 0
✔️RP = (x + 1) + 7
Plug in the value of x
RP = (0 + 1) + 7
RP = 1 + 7
RP = 8
12ft long, 3.5ft width, 1.25ft tall. What is the volume?
Answer:
52.5
Step-by-step explanation:
You need to multiply l*w*h (length times width times height). In this case, the equation would be 12*3.5*1.25, which would equal 52.5.
Answer:
52.5
Step-by-step explanation:
length*width*hight
l*w*h
-x^2+4x-8
axis of symmerty
Answer:
[tex]\boxed {\boxed {\sf x=2}}[/tex]
Step-by-step explanation:
The axis of symmetry can be calculated using the formula:
[tex]x=\frac{-b}{2a}[/tex]
First we must determine a and b from the quadratic: [tex]-x^2+4x-8[/tex]. This is in standard form, with the highest power first in descending order.
Standard form is also: [tex]ax^2+bx+c[/tex]
If we compare this to the quadratic given, we can conclude that:
[tex]a= -1 \\b= 4 \\c= -8[/tex]
Substitute the values for a and b into the formula.
[tex]x= \frac{-(4)}{2(-1)}[/tex]
Multiply in the denominator.
[tex]x=\frac {-4}{-2}[/tex]
Divide.
[tex]x=2[/tex]
This can also be determined from the graph. It is the x-coordinate of the vertex or the maximum/minimum. It divides the quadratic into 2 symmetrical halves.
How many joules of gravitational potential energy does a 15 kg object have when it is lifted from the floor and held 0.6 meters above the ground?
Answer:
88.29joules
Step-by-step explanation:
mgh=gravitational potential energy
(15kg)(9.81)(0.6)= 88.29joules
x = y + 1/2 ordered pair: (–5, –2)
1. The ordered pair IS a solution to the equation
2. The ordered pair IS NOT a solution to the equation
Answer:
2. The ordered pair IS NOT a solution to the equation
Step-by-step explanation:
-2+1/2=-1.5
What is the value of the expression below when n =
2.4?
An X 2 + 13
Answer:
34 because if u add the to the y
Step-by-step explanation: it would give u 34
I need help on this question
Which of the following the scenarios represent an exponential relationship?
(A) A car with an initial value of $32,000 is depreciating in value at a rate of 8.5% each year
(B) A job pays a base salary of 12,000 and increases annually at a rate of 7
(C) A car can be rented for $35 a day
(D) A job pas a 23,000 salary plus 5% commission on sales
(E) Johnny is saving for college by setting aside $1,000 into a piggy bank and then contributes $30 a month
Answer:
A) A car with an initial value of $32,000 is depreciating in value at a rate of 8.5% each year
(B) A job pays a base salary of 12,000 and increases annually at a rate of 7%
The Department of Homeland Security wants to test a computer virus that it has developed to combat hackers. They plan to test run the virus on randomly selected computers with pre-set "hacker" programs.
choose one:
-census
-cluster sampling
-convenience sampling
-simple random sampling
-stratified sampling
choose one:
-experiment
-observational study
-simulation
-survey
Answer:
Simple random sampling
Observational study
Step-by-step explanation:
Since in the given situation it is mentioned that department wants to test the computer virus and have to run the virus on the random selected computers so here the simple random sampling would be done and based on the simple random sampling the observational study would be done
Therefore the above represent the answer
Answer:it is simple random sampling but the collection method is not observational study I got that part wrong
Step-by-step explanation:
30 Between what two standard deviations of a normal distribution contain 68% of the data?
a) one below and one above
b) two below and two above
d) zero and two above
C) two below and zero
d
man i think its d or b maby
Answer: the answer is A (one below and one above)
Step-by-step explanation:
68% of data falls within ONE standard
95% falls within two standard deviation
And 99.7% falls within 3
What is a logical mathematical argument in which every statement of fact is supported by a reason?
Answer:
a
Step-by-step explanation:
If the area of a rectangular garden is 6x^2 - 9x what is the length if the width is 3x ?
Answer:
A =L×W
Given,
A=6x²-9x
W=3x
Substituting into the main equation
6x²-9x=L×(3x)
3x(2x-3)=L×(3x)
divide both sides by 3x
2x-3=L
L=2x-3
please help !!!! asap
Answer:
y = 1
Step-by-step explanation:
-3y + 14 + y = 12
-3y + y + 14 = 12
-2y + 14 = 12
-2y + 14 - 14 = 12 - 14
-2y = -2
-2y/-2 = -2/-2
y = 1
Answer:
y=1
Step-by-step explanation:
Hey There!
So to solve this type of problem we use inverse operations
-3y+14+y=12
step 1 subtract 14 from each side
14-14
12-14=-2
now we have
-3y+y=-2
step 2 combine like terms
-3y+y=-2y
now we have -2y=-2
step 3 divide each side by -2
-2/-2=1
so we can conclude that y=1
Divide twice the variable p by the product of 5 and q
Answer:
Step-by-step explanation:Solution :
Given variable = p
According to the problem given ,
Twice the variable p divided by the
product of 5 and q
= ( 2p )/ ( 5q )
= 2p/5q