Find the standard equation of the circle with center (5, -3
and with a point on the circle (-3,3)
Answers
Answer:
○ C
Explanation:
Accourding to one of the circle equations, [tex]\displaystyle (x - h)^2 + (y - k)^2 = r^2,[/tex]the centre of the circle is represented by [tex]\displaystyle (h, k).[/tex]Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared. Now, in case you did not know how to define the radius, you can choose between either method:
Pythagorean Theorem
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 6^2 + 8^2 = r^2 \hookrightarrow 36 + 64 = r^2 \hookrightarrow \sqrt{100} = \sqrt{r^2} \\ \\ \boxed{10 = r}[/tex]
Sinse we are dealing with length, we only desire the NON-NEGATIVE root.
Distanse Equation
[tex] \displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-5 - 3]^2 + [3 + 3]^2} = r \hookrightarrow \sqrt{[-8]^2 + 6^2} = r \hookrightarrow \sqrt{64 + 36} = r; \sqrt{100} = r \\ \\ \boxed{10 = r}[/tex]
Sinse we are dealing with distanse, we only desire the NON-NEGATIVE root.
I am joyous to assist you at any time.
Related Questions
If you deposit $50 in checks in your account with $100 cash amount, what is your total deposit?
Answers
Please help I’m not really good at math
Answers
Answer:the answer would be equal to.
Step-by-step explanation:
On a video game Julie earns 150 points for each gold bars she captures if S represents Julie's total score and B represents the number of captured gold bars which statements are correct?
A. s = 150b
B. b = 150s
C. s/150 = b
D. The score (s) is the dependent variable, and the number of bars is the independent variable.
E. The score (s) is the independent variable, and the number of bars is the dependent variable.
Answers
Change the following fraction to a mixed number with the fraction part reduced to lowest terms. 83/42
Answers
Answer:
1 [tex]\frac{41}{42}[/tex]
Step-by-step explanation:
[tex]\frac{83}{42}[/tex] = 83 ÷ 42 = 1 remainder 41 , then
[tex]\frac{83}{42}[/tex] = 1 [tex]\frac{41}{42}[/tex]
2. Calculate the mean of the following
sample:
20, 15, 22, 13, 14, 18, 19, 11, 23, 17
Answer choices:
16.8
17.2
17.6
Answers
Explanation: add all of the numbers and divide by the amount of numbers (10 in this situation). 172 divided by 10 = 17.2 average
Answer:
what is mean: mean is the "average" of a set of numbers and it is calculated by adding up the values given and dividing by the total number of values given.
Step-by-step explanation:
formula: addition of all values divided by the number of values given.
total number of values given = 10 ( count each number as one )
so ..
20+15+22+13+14+18+19+11+23+17 = 172
divided by 10
= 17.2 ( decimal)
or 17 whole number 1/5 ( mixed fraction )
or 86/5 ( improper fraction ).
Hope this helps.
Good luck .
Let's say we have a sample of 57 participants in a study, what would the degrees of
freedom be for the study with one sample
Answers
Answer:
56
Step-by-step explanation:
degree of freedom is n - 1, n being the sample size
One sample of 57 participants in a study (given)
For this study, n = 57
Using the degree of freedom formula, 57 - 1 = 56
Hope it helps, Let me know if yoy have any more questions/concerns !
Have a nice rest of your day :)
Approximate 4/9 as a percent?
Answers
Divide 4 by 9 and turn the decimal into a percentage
My brother insists that my answer is wrong so can anyone please answer this so I can show him
Answers
Answer:
30
Step-by-step explanation:
6/1 x 5/6 = 30/6 or 5.
5/1 divided by 1/6 is 5/1 x 6/1 or 30.
Therefore, the answer is 30.
Answer:
It's C. 30
Multiply 30 by 1/630 goes into 1/6, 5 timesThe first equation's value is 5, therefore the equation is complete, both equations now match.__________________________________________________________
Questions?Ask in comments
39-42 Differentiate [tex]f[/tex] and find the domain of [tex]f\text{.}[/tex]
39. [tex]f(x)=\frac{x}{1-\ln (x-1)}[/tex]
Answers
[tex]\text{Given that,}\\\\f(x) = \dfrac x{1- \ln (x-1)}\\\\\\f'(x)=\dfrac{(1- \ln(x-1))-x\cdot \left(0-\dfrac 1{x-1} \right)}{(1- \ln(x-1))^2}\\\\\\~~~~~~~~= \dfrac{(x-1)(1- \ln(x-1))+x}{(x-1)(1-\ln(x-1))^2}\\\\\\~~~~~~~~= \dfrac{x-x\ln(x-1)-1+\ln(x-1)+x}{(x-1)(1-\ln(x-1))^2}\\\\\\~~~~~~~~= \dfrac{2x-1-(x-1)\ln(x-1)}{(x-1)(1-\ln(x-1))^2}\\[/tex]
[tex]\text{domain f(x):} ~\{x|x > 1, x\neq e+1 \}[/tex]
Given two independent events A and B, the probability of both event A and event B occurring is equal to the probability of A plus the probability of B. Please Explain.
Answers
Answer:
Step-by-step explanation:
You would add probabilities if you want to find out if one event or another could happen. For example, if you roll a die, and you wanted to know the probability of rolling a 1 or a 6, then you would add the probabilities:
Probability of rolling a 1: 1/6
Probability of rolling a 6: 1/6
So the probability of rolling a 1 or a 6 is 1/6 + 1/6 = 2/6 = 1/3.
Find the next two terms in this sequence.
4,8,-16,-32,64, [??],[??]
Answers
128, -256
Answer:
its actually just r=-2
The three angles inside of a triangle add up to HOW MANY degrees?
180
90
360
120
Answers
Answer:
180
Step-by-step explanation:
This is 180 because the specific angles in a triangle will unless an irregularly shaped triangle will equal up to 180.
Find the area of the circle.
Use 3.14 for π.
d = 10 cm
A = [?] cm²
A=TCr2
Answers
Answer:
78.5
Step-by-step explanation:
The diameter (d) is equal to the radius x 2, so take half of d to get r. Use r (5) in the equation to get your answer.
A= 3.12 x 5^2
A= 78.5
Translate the sentence into an inequality.
Ten increased by the product of a number and 5 is less than -15.
Answers
Answer:
10 + 5x ≤ -15Step-by-step explanation:
sentence —————————-——————> math expression
Ten increased by —————————————> 10 +
the product of a number ‘x’ and 5 —————> 5x
less than -15 —————————-——————> ...... ≤ -15
Conclusion:
10 + 5x ≤ -15
Richard has completed 24 problems in a math review packet. He has finished 60% of the packet.
Answers
Answer:
40 problems.
Step-by-step explanation:
I am assuming you are asking what the total number of problems is.
24*100 is 2400
2400/60 is 40
Use the addition property of equality to complete the statement
If 4x-3=10, then
Answers
4x=13
Step-by-step
add 3 to both sides making 10=13
4x=13
Q.
(5sin 87° + tan 72° - sec 5°) / (cot 18° - cosec 85°+ 5cos 3°)
Answers
[tex]\dfrac{5 \sin 87^{\circ} + \tan 72^{\circ} - \sec 5^{\circ}}{\cot 18^{\circ}-\csc 85^{\circ}+5\cos 3^{\circ}}\\\\\\=\dfrac{5\sin\left(90^{\circ}-3^{\circ} \right) + \tan\left(90^{\circ}-18^{\circ} \right)-\sec\left(90^{\circ}-85^{\circ} \right)}{\cot 18^{\circ}-\csc 85^{\circ}+5\cos 3^{\circ}}\\\\\\=\dfrac{5\cos 3^{\circ} + \cot 18^{\circ}-\csc 85^{\circ}}{\cot 18^{\circ}-\csc 85^{\circ}+5\cos 3^{\circ}}\\\\\\=1[/tex]
23 points see attachment below
Answers
Answer:
-3
Step-by-step explanation:
The top left box on the x axis is negitive 3
Show the number on a number line:
-12 ÷ 4 =
Answers
Answer:
well if we take -12 and divide it by four we will get -3.
Step-by-step explanation:
If we have a total of negative 12, just divide it by 4 and the difference between each division is the sum.
Your answer will be -3 on the number line.
:)
Answer:
Step-by-step explanation:
-12/4 = -3
pls help i give lots of points
Answers
Answer:
A. trapezoid
Step-by-step explanation:
edge 2022
which matrix is equal to ( -6 -6.5 1.7 2 -8.5 19.3 )
Answers
The matrix that is equal to the considered matrix [-6,-6.5,1.7; 2, -8..5, 19.3 ] is given by: Option D: [-6,-6.5,1.7; 2, -8..5, 19.3 ]
When are two matrices called being equal?Two matrices are equal if and only if their shapes are same, and they've got the same elements for each corresponding row and column positions.
The missing options are specified in the image attached below.
The considered matrix is:
[tex]\left[\begin{array}{ccc}-6&-6.5&1.7\\2&-8.5&19.3\end{array}\right][/tex]
It has 2 rows and 3 columns.
Evaluating each of the options:
Option A and B are wrong as they've got 3 rows and 2 columns, which makes their shape not matching with the shape of the considered matrix.
Option C although has got 2 rows and 3 colums, but its elements are not matching with corresponding elements of the considered matrix.
Option D has 2 rows and 3 colums and its each element matches with the corresponding element of the considered matrix. (ie, for example, element common in first row and first column in option D is -6, and so as for the considered matrix, and similarly, all correspoding elements for each row and column is same in both matrices.)
Thus, the matrix that is equal to the considered matrix [-6,-6.5,1.7; 2, -8..5, 19.3 ] is given by: Option D: [-6,-6.5,1.7; 2, -8..5, 19.3 ]
Learn more about matrices here:
https://brainly.com/question/13430728
#SPJ1
Answer:
D hope u get good grade
Step-by-step explanation:
edge 2023
Find the measures of the angles 1 through 7.
Answers
John made a triangle with all three sides the same length, 1 \frac{2}{3} ft. What is the perimeter of the triangle?
Answers
Answer:
5 ft
Step-by-step explanation:
If all sides are of the same length, we can multiply the value of one side by 3, because a triangle has three sides (and the perimeter is all sides added together), to find the perimeter.
[tex]1\frac{2}{3}[/tex] × 3
[tex]1\frac{2}{3}[/tex] can be rewritten as [tex]\frac{5}{3}[/tex], so:
[tex]\frac{5}{3}[/tex] × [tex]\frac{3}{1}[/tex]
[tex]= \frac{15}{3}[/tex]
The numerator & denominator share a common factor of 3, so:
5 ft is the final answer/perimeter.
hope this helps!
This is what the new and original figures are when a dilation occurs. This is for a crossword puzzle with 14 spaces. please answer this correctly. 20 points worth
Answers
Answer:
the 6th option is yore answer! hope this helps:))
On a motor trip, Mr. Williams covered 2/6 of his total trip distance by driving 388 miles. The total distance to be covered in miles
is:
A. 1,438
B. 1,164
C. 1,382
D. 1,218
Answers
Answer:
B
Step-by-step explanation:
2/6 x d = 388
d = 388 x 6/2 = 1164 m
Answer:
The total distance covered in miles is B, 1164 miles.
Step-by-step explanation:
Since we know that 2/6 of his total trip distance is 388 miles we can do 388 / 2/6 = 1164. Therefore, his total trip distance is 1164 miles.
Pls help me
Pls show your answer pls and thank you
Answers
Answer:
Step-by-step explanation:
Beth's position over time is constant, which makes the problem a lot easier. You are asked for the rate of position versus time, so begin by doing that. Since the rate is constant, clearly from the table, you can take any two data points and take their ratio. Her rate would be 11 feet every 5 seconds, or equivalently 2.2 feet every second. To graph the data, put position on the y-axis and time on the x-axis. The slope will be 2.2 at every point along her bike ride.
Moving on to the third part. If Amy traveled at a rate of 75 feet every 30 seconds, then she would be traveling 2.5 feet every second. Amy's rate is larger than Beth's rate. Since the rate corresponds to the slope of the postion vs. time graph, Amy's graph will have a steeper incline since the slope is 2.5
Answer:
B. Every 5 minutes 11 ft. traveled
2.2ft.= every 1 minute
C. Steeper. this is because her rate of change is much higher than before
Question
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
m² + 5m.
Answers
Answer:
m^2+5m+25/4
perfect square trinomial^^
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
A hotel survey showed that nearly 30% of the guests staying at the hotel were there for personal reasons. The remainder of the guests were at the hotel on business.
Use the table of randomly generated letters to answer the questions about this scenario. The letter P represents personal reasons, and B represents business reasons.
BBB PBB BPB PPB BBP
BBP PBB PPB PBB BBP
BBP BPB BBB BBB BBB
PPB BPB PBP BPB BBP
BPB PBP PPB PBB BBB
Based on this data, the estimated probability that exactly two of the three guests randomly picked were not there for personal reasons is _____
The estimated probability that it takes at least four guests to find one who is staying for personal reasons is _____
Answers
Answer:
8
Step-by-step explanation:
I need help pleaseeee
Answers
Answer:
$110.46
Step-by-step explanation:
1 bath towel is $15.78 we need 7. So the equation is 15.78 x 7 = 110.76.
Which statement best describes the figure shown below?
A.
The figure is an example of perpendicular segments because they are coplanar and intersect to form a right angle.
B.
The figure is not an example of perpendicular segments because they are not coplanar.
C.
The figure is not an example of perpendicular segments because do not intersect to form a right angle.
D.
The figure is an example of perpendicular segments because they are not coplanar and intersect to form a right angle.
Answers
Answer:
A. . The figure is an example of perpendicular segments because they are coplanar and intersect to form a right angle.Step-by-step explanation:
→the two segments are Coplanar because they are in the same plane
→The angle between the two segments is marked by a little square which indicates that it’s a right angle in other words the segments are perpendicular.