what is the center?
the circle passes through the point (-7,-7). what is the radius?
Answers
We have been given image of circle that passes through point [tex](-7,-7)[/tex]. We are asked to find the radius of the circle.
First of all, we will find the center of the circle.
We can see that center of circle is at point [tex](-2,-1)[/tex].
Now we will use equation of circle to find radius.
[tex](x-h)^2+(y-k)^2=r^2[/tex], where, point (h,k) represents center of circle and r represents radius of circle.
Now we will substitute the coordinates of point [tex](-7,-7)[/tex] and coordinates of center [tex](-2,-1)[/tex] and solve for r as:
[tex](-7+2)^2+(-7+1)^2=r^2[/tex]
[tex](-5)^2+(-6)^2=r^2[/tex]
[tex]25+36=r^2[/tex]
[tex]61=r^2[/tex]
Switch sides:
[tex]r^2=61[/tex]
Now we will take positive square root on both sides:
[tex]\sqrt{r^2}=\sqrt{61}[/tex]
[tex]r=\sqrt{61}[/tex]
Therefore, radius of circle will be [tex]\sqrt{61}[/tex] and center is at point [tex](-2,-1)[/tex].
Related Questions
You are making pudding. The recipe asks for 3/10 cup of sugar and you want to make 8/2 of the original recipe. How many cups of sugar will you need?
Answers
Answer:
6/5
Step-by-step explanation:
orginal recipe=8/2=4
Amt of sugar=3/10*4=12/10=6/5
Hope it helps, Pls mark as Brainliest!!!
Use the law of sines to find the length of side c.
C
be
41.59
37
42°
А
С
CD
O A. 36.64
B. 54.94
C. 37
37 36
Answers
Without the calculator let's just estimate that .5/42 = 1.2% change in the angle; we reduce the length a=37 by 1.2% to get 37×.988=36.556. That's probably good enough to choose A.
Let's do it the way they want.
[tex]\dfrac{\sin C}{c} = \dfrac{\sin A}{a}[/tex]
[tex]c = \dfrac{a \sin C}{\sin A} = \dfrac{37 \sin 41.5}{\sin 42} = 36.6400[/tex]
Answer: A
Estimate worked. Sine is approximately linear when the range is small enough.
PLEASEEE HELP
Which table represents a linear function
Answers
Find the length of DF
Answers
Answer:
7x-58
just add all the terms
7x-58 =33
7x=91
X=13
Soooo df= 6x-58
6*13-58=20
20 is the correct answer
Someone help me with this pls
Answers
Answer: You Would have To know How Far it will go In the next 60 min. (c
Step-by-step explanation:
Answer:The answers are down there.
Step-by-step explanation:
A) The speed of the train on the last section is 20miles/ 30 minutes which 0.66 miles per minute.
B) It traveled the fastest from 50 to 60 minutes or 30 miles to 60 miles.
C) The train will travel 60 miles in 60 minutes.
D)The train stopped for 20 minutes during the journey.
|n|=5 what is the value for n.
A -5or5
B 0 and 5
C -5 only
D 5 only
Answers
Answer:
A -5or5
Step-by-step explanation:
|n|=5
Absolute value means take the positive value of the number
|5|=5
|-5|=5
so positive 5 and -5
Find the volume of the following solid figure. Use = 3.14.
V = 4/31tr3. A sphere has a radius of 4.5 inches.
Volume (to the nearest tenth) =
cubic inches.
381.5
56.5
84.8
Answers
The number of points Emerson scored in 5 basketball games is 10, 8, 9, 8,
and 30. Why might it be misleading to Emerson to say that she averages 13
points per game? *
Answers
Answer:
because she usually gets lower scores but her avarge is 13 because she make 30 in one game witch is an outlire
Step-by-step explanation:
if im wrong im sorry if not pls brainlyest
PLSSSS help
Marking BRainlist
Answers
Answer: x = 14 for the first one, x = 4 for the second
Step-by-step explanation:
8x - 9 = 7x + 5
subtract 7x from both sides
x - 9 = 5
add 9 to both sides
x = 14
8x + 9 = 3x + 29
subtract 3x from both sides
5x + 9 = 29
subtract 9 from both sides
5x = 20
divide both sides by 5
x = 4
x = 14
the second one is
x = 4
A certain radioactive isotope decays at a rate of 2% per 100 years. If t represents the amount of the isotope left then the equation for the situation is
Answers
Answer:
y=y0e^-0.0002t
Step-by-step explanation:
.
Let x = initial amount
then our formula is
.86x = xe^(-0.0002t)
.
Notice, if we divide both sides by x, we eliminate our unknown:
.86 = e^(-0.0002t)
Solving for x, we take the ln of both sides:
ln(.86) = -0.0002t
ln(.86)/(-0.0002) = t
754.114 years = t
Rosalia went on a long bike ride. The table shows how long she biked and the distance she traveled. Determine whether the relationship between hours biked and miles traveled is proportional.
Answers
Answer:
There needs to be a graph.
Step-by-step explanation:
The rate of change is not the same for all the cases so, the relationship between hours biked, and the miles traveled is not proportional.
What is proportionality?We use constant of proportionality in mathematics to calculate the rate of change and at the same time determine if it is direct variation or inverse variation that we are dealing with.
From the table, we need to find the rate of change between two given hours and the miles traveled at that time.
Now,
Between 1 hour and 2 hours.
The rate of change.
= (26 - 12) / (2 -1)
= 14 / 1
= 14
Between 2 hours and 3 hours.
The rate of change.
= (30 - 26) / (3 - 2)
= 4 / 1
= 4
Between 3 hours and 4 hours.
The rate of change.
= (48 - 30) / (4 - 3)
= 18 / 1
= 18
Since,
The rate of change is not the same for all the cases so,
Hence, the relationship between hours biked, and the miles traveled is not proportional.
Learn more about proportionality here:
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omg please help meee fastttt
Answers
Answer:
Jill will make less money if they both work 3 hours
Step-by-step explanation:
Trust me. I hope this helps :)
The last option(D)
I NEED HELPPPPP!!!! PLZZZ
Answers
Answer:
13.5
Step-by-step explanation:
Please help me I have to go to a class and I need this fast
Answers
Answer:
5) Mode = 63 6) Mode = 74
Range = 70 Median = 74
Median = 63 Range = 57
Mean = 58.75 Mean = 68.7
Step-by-step explanation:
Math question down below
Answers
Answer:
2 3/8
Step-by-step explanation:
5 1/8 - 2 3/4
= 5 1/8 - 2 6/8
= 4 9/8 - 2 6/8
= 2 3/8
MULTIPLE CHOICE:
A. x2 + 1 = 2x − 3
B. x2 – 2x − 1 = 3
C. x2 + 2x − 1 = 3
D. x2 + 2x − 1 = -3
Answers
Answer:
C
Step-by-step explanation:
The first term -2 is also -B; therefore A and B can be eliminated.
-1+3 is 2, and -4 is the only term used in the formula, so D is also eliminated
PLEASE HELP - Which of these graphs represents a nonlinear function ?
Answers
Figure 3
Step-by-step explanation:
If a data value in a normal distribution has a negative z-score, which of the following must be true?
Answers
WHERE ARE THE FOLLOWING?
Answer:
C. The data value must be less than the mean
Step-by-step explanation:
Took the quiz on edge:)
PLS HELP....I WILL GIVE YOU BRAINLIEST!!!!!!!!!!
Express as a percent:
1/6:
1/3:
2/3:
5/6:
Answers
Look at the attached picture
Hope it will help you
Good luck on your assignment
Three people hiked the same 1 mile trail. The distance for each hiker is reperesented in the drawing. Show about where the 1 mile mark should be on each drawing.Explain
Answers
Answer:
Okay, so for the first line, measure the distance between the start and the 0.5 miles. Then add that distance to the other side of the 0.5 miles and then put a mark.
For the second one measure the distance between the start line and the 0.25 miles and then add that distance to the other side three more times and then put a mark.
And for the last one, use the distance that you used for the second one and put it after the 0.75 mark.
Step-by-step explanation:
Find the volume of the cone whoever answers first gets brainiest!
Answers
Answer:
157.08
pi x radius x radius x height/3
Step-by-step explanation:
Answer:
V≈157.08
Step-by-step explanation:
I used the formula for a cone:
V=πr2h/3 (h/3 as in a fraction)
Look at the data points on the graph:
Is this relation a function?
Answers
PLEASE HELP IM DUMB AND I NED THIS ASAP
Answers
Width (7.8) x length (7.8) x width (7.8) = 474.552
Henry has at least 3 times as much money as Deb. Using x= the amount of money Deb has and y= the amount of Henry has, write a inequality that would show all the possible amount of money that each could have. Give one possible solution
Answers
Answer:
y ≥ 3x
Possible solution: x=1, y=3
Step-by-step explanation:
Since Henry has atleast 3 times as much money as Deb
y=3x
y must always be greater than or equal to 3x
if x=1 y=3
Please help ;-;, I really need it-
Answers
Answer:
See below
Step-by-step explanation:
For a more detailed explanation, take a look at PDF below;
Surface Area of First Figure; 544 in^2,
Surface Area of Second Figure; 276 ft^2,
Surface Area of Third Figure; 1240 yd^2
Please help ASAP will mark brainliest
Answers
Simplify.
8(12 - p)
20 - (8+p)
96 - 8p
96 - p
96p
Answers
So the right answer is of option C
Look at the attached picture
Hope it will help u ..
The volume of the sphere is 904.32 m. To the nearest meter, what is the radius of the sphere????? Use 3.14 for pi.
Answers
Answer:
6
Step-by-step explanation:
The formula for the volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]. Plugging in the values that you are given, you get:
[tex]904.32=\frac{4}{3}\pi r^3[/tex]
Dividing both sides by pi or 3.14:
[tex]288=\frac{4}{3}r^3[/tex]
Dividing both sides by 4/3:
[tex]216=r^3[/tex]
Taking the cube root of both sides:
[tex]r=6[/tex]
Hope this helps!
Describe the pattern of the number sequence 1, 9, 17, 25, 33, .... by using algebraic expressions
Answers
Answer:
8n + 1, where n is a whole number greater than or equal to 0.
Step-by-step explanation:
Every number on this list is one more than a multiple of 8, so if n is a whole number great than or equal to 0, the expression 8n describes every multiple of 8, and 8n + 1 describes every number one more than a multiple of 8.
The sequence is an arithmetic sequence.
The pattern is 1 + (n - 1)8.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8 is an arithmetic sequence.
We have,
1, 9, 17, 25, 33,....
This is an arithmetic sequence.
The first term is 1.
a = 1
The common difference is 8.
d = 8
i.e
9 - 1 = 8
17 - 9 = 8
25 - 17 = 8
The nth term of an arithmetic sequence.
= a + (n -1)d
= 1 + (n - 1)8
Thus,
The pattern of the sequence is 1 + (n - 1)8.
Where n is the term of the number.
Learn more about arithmetic sequence here:
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Wanda did 12 push-ups on Saturday, 24 push-ups on Sunday, 48 push-ups on Monday, and
96 push-ups on Tuesday. What kind of sequence is this?
Answers
Answer:
2x
Step-by-step explanation:
Each number is mutiplied by 2
Answer: it doubles
Step-by-step explanation: 12+12= 24, 24+24= 48, 48+48=96
