A circle is centered at T(-6,3)T(−6,3)T, left parenthesis, minus, 6, comma, 3, right parenthesis and has a radius of 111111.
Where does the point N(3,-3)N(3,−3)N, left parenthesis, 3, comma, minus, 3, right parenthesis lie?
Answers
Answer:
The point N lies inside the circle
Step-by-step explanation:
A circle is centered at the point T(-6,3) and has a radius of r=1.
To determine if the point N(3,-3) is inside or outside the circle, the distance between N and the point T must be lower than 11.
To calculate the distance between points T and N you use:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where x1 and y1 are the coordinates of T, and x2 and y2 the coordinates of N.
[tex]d=\sqrt{(3-(-6))^2+(-3-3)^2}=\sqrt{9^2+6^2}=10.81[/tex]
d < 11
The distance d is lower than the radius of the circle. Hence, the point N lies inside the circle
Here's a screenshot from Khan academy for your question!
Related Questions
Solve the equation 4x² +7x-2=0.
Answers
Answer:
x+11.5
Step-by-step explanation:
4x² +7x-2=0
16x+7x-2=0
23x-2=0
+2 +2
23x=2
23x/2
x= 11.5
I hope these help.
a hexagon has 5 sides measured as 115 , find the sixth side
Answers
Answer:
31
Step-by-step explanation:
115 divided by 5 equals 31 and each side measures 31 so the 6th side measures 31
or
Angle sum of hexagon is 720 .
So,116*5(5 side are given)
=580
580+x=720 (x is the sixth side of hexagon)
x=720-580
=140°
A box contains 7 yellow, 5 blue, and 4 red balls. Three balls are drawn at random. Find the probability that:
a)
All three balls are the same color
c)
Two balls are yellow and one is blue
d)
All three balls are different colors
Answers
Answer:
a) 7/80 = 0.0875
b) 3/16 = 0.1875
c) 1/4 = 0.2500
Step-by-step explanation:
There are a total of 16 balls. 3 are selected. There are ₁₆C₃ possible combinations.
a) If all 3 balls are the same color, they are either all yellow OR all blue OR all red.
The number of ways of choosing 3 yellow balls from 7 is ₇C₃.
The number of ways of choosing 3 blue balls from 5 is ₅C₃.
The number of ways of choosing 3 red balls from 4 is ₄C₃.
The total probability is:
P = (₇C₃ + ₅C₃ + ₄C₃) / ₁₆C₃
P = (35 + 10 + 4) / 560
P = 49 / 560
P = 7 / 80
P = 0.0875
b) The number of ways of choosing 2 yellow balls from 7 is ₇C₂.
The number of ways of choosing 1 blue ball from 5 is ₅C₁.
The probability of both is:
P = ₇C₂ ₅C₁ / ₁₆C₃
P = 21 × 5 / 560
P = 105 / 560
P = 3 / 16
P = 0.1875
c) If all 3 balls are different colors, then there is exactly 1 yellow, 1 blue, and 1 red.
The number of ways of choosing 1 yellow ball from 7 is ₇C₁.
The number of ways of choosing 1 blue ball from 5 is ₅C₁.
The number of ways of choosing 1 red ball from 4 is ₄C₁.
The probability of all events is:
P = ₇C₁ ₅C₁ ₄C₁ / ₁₆C₃
P = 7 × 5 × 4 / 560
P = 140 / 560
P = 1 / 4
P = 0.2500
What’s the area of the shape ?
Answers
A=pi r^2
A=3.14 8^2
A=3.14*64
A=200.96
BE CAREFUL, IT IS ONLY 1/4 OF THE CIRCLE.
A(1/4)= 50.24
Solve for c.
–4c − 9 = –3c
c =
Answers
Look at the attached picture
Hope it will help you
Good luck on your assignment
One of the altitudes of the parallelogram shown is the square root of 22.5. What is the other altitude?
Answers
Answer:
Step-by-step explanation:
Brainliest question please help me now I need it now plz
Answers
AP^2 = ZP^2 = 5^2 + 7^2 = 74
P^2of APZ = /8 + 74*2 =156
P= 12.489
In this nuclear reaction equation, oxygen decays to form nitrogen. Which equation correctly describes
this decay?
O 150 N + e
o 150+ e TN
o 150 N+
o 150 → N+
Answers
Answer:
A. 150 N + e
Step-by-step explanation:
Im smart pls mark brainliest.
A corporation produces packages of paper clips. the number of clips per package varies, as indicated below for a sample of 20 packages. 48 49 51 52 48 50 51 50 49 47 52 53 50 49 52 51 53 48 49 50 create a histogram. how many packages contain between 48 and 52 clips (inclusive) per package
Answers
Answer:
- The histogram of this distribution is presented in the attached image to this answer.
- The number of packages that contain between 48 and 52 clips (inclusive) per package = 17
Step-by-step explanation:
To create an histogram, we need to properly present the right solutions to angry mob.
The number of clubs per package is presented as thus
48 49 51 52 48 50 51 50 49 47 52 53 50 49 52 51 53 48 49 50
In an organized home, the data is reset to the number of clubs per passport and corresponding video is done
x | f
47 | 1
48 | 3
49 | 4
50 | 4
51 | 3
52 | 3
53 | 2
The histogram of this distribution is presented in the attached image to this answer.
- The number of packages that contain between 48 and 52 clips (inclusive) per package
From the data table, it is evidently 3+4+4+3+3 = 17
Hope this Helps!!!
I need help with this
Answers
Answer:
86 degrees
Step-by-step explanation:
Triangles add up to 180 degrees.
57 + 37 + x = 180
94 + x = 180
Subtract 94 from both sides.
x = 86
Only 1/9 enrolled students in a school were absent. There were 4512 students present. How many students are enrolled in the school?
Answers
Answer:
5076.
Step-by-step explanation:
Let x be the number enrolled, then:
x - 1/9 x = 4512
8/9x = 4512
x = 4512 * 9/8
x = 5076.
6 x - 16.7 equals what please help
Answers
Answer:
- 100.2
Step-by-step explanation:
6 x(-16.7)
6 x [tex]\frac{-167}{10}[/tex]
6 x(-167) = - 1002
-1002/10 = - 100.2
Express x^2-5x+8 in the form (x-a)^2+b
Answers
Answer:
x^2 - 5x + 8 = (x - 5/2)^2 + 7/4
Step-by-step explanation:
(x - a)^2 + b = x^2 - 2ax + a^2 + b
equate to your quadratic :
x^2 - 5x + 8 = x^2 - 2ax + (a^2 + b)
equating coefficients (ignoring x^2 as the coefficient is 1 for both)
for x :
-5 = -2a --> a = 5/2
for x^(0) : 8 = a^2 + b , note a = 5/2
thus,
8 = (5/2)^2 + b
8 = 25/4 + b
b = 8 - 25/4 = 32/4 - 25/4 = (32 - 25)/4 = 7/4
hence a = 5/2 , b = 7/4
thus,
x^2 - 5x + 8 = (x - 5/2)^2 + 7/4
what is the answer please im in a hery
Answers
Answer:
Factor [tex]12a + 6b : 6(2a + b)[/tex]
Step-by-step explanation:
[tex]12a+6b[/tex]
Rewrite [tex]12[/tex] as [tex]2 * 6[/tex]:
[tex]=2\cdot \:6a+6b[/tex]
Factor out common term [tex]6[/tex]:
[tex]=6\left(2a+b\right)[/tex]
Hope I helped. If so, may I get brainliest and a thanks?
Thank you, Have a good day! =)
Find the number if:
4.5% of it is 23% of 4
Answers
Answer:
20.4
Step-by-step explanation:
I NEED HELP FAST
Which statement about the point (0, 5) is true?
It is on the origin.
It is in Quadrant I.
It is on the x-axis.
It is on the y-axis.
Answers
Answer:
(0,5) is on the y-axis
Step-by-step explanation:
Since the x value is 0, it is not left or right of (0,0), thus it does not leave the y-axis. Since its y-value Is 5, it goes up 5 units from (0,0) but still it does not leave the y-axis.
Answer:
it is on the y-axis
Step-by-step explanation:
3 + 2x ≥ -4 solutions
Answers
Answer:
x ≥ -7/2
Step-by-step explanation:
3 + 2x ≥ -4
Subtract 3 from each side
3-3 + 2x ≥ -4-3
2x ≥ -7
Divide each side by 2
2x/2 ≥ -7/2
x ≥ -7/2
Steps to solve:
3 + 2x ≥ -4
~Subtract 3 to both sides
3 - 3 + 2x ≥ -4 - 3
~Simplify
2x ≥ -7
~Divide 2 to both sides
2x/2 ≥ -7/2
~Simplify
x ≥ -3.5
Best of Luck!
The two prisms below are similar. What is the value of x?
30
A. 3
B. 9
C. 1
D. 30
SUBMIT
Answers
What is the measure of angle DBA?
Answers
Answer:
DBA =110 degree
Step-by-step explanation:
angle DBA is central angle
central angle = arc angle = 110 degree
Answer:110
Step-by-step explanation:
Circle P has a circumference of approximately 75 inches.
What is the approximate length of the radius, r? Use 3.14
for te. Round to the nearest inch.
12 inches
24 inches
38 inches
46 inches
Answers
Answer:
12 inches
Step-by-step explanation:
2(3.14)r=75
r = 11.94 ~ 12 inches
Answer:
The answer is A
Step-by-step explanation:
Caroline divides by 8, then adds 9 to get an answer of 12. What was the original number?
Answers
Answer:
Original number = 24
Step-by-step explanation:
Look at the picture
After solving a quadratic equation using the quadratic formula, what do the 2 solutions mean?
Answers
Answer:
those are your two answers
Step-by-step explanation:
What is 84/100 simplifyed
Answers
Answer:
0.84
Step-by-step explanation:
84/100=0.84
hope its right
Answer:
21/25
Step-by-step explanation:
84/100 divide by 4= 21/25
2(q–8)< – 10 solve for q
Answers
Answer:
[tex] = q < 3[/tex]
Step-by-step explanation:
[tex]2(q - 8) < - 10 \\ 2q - 16 < - 10 \\ 2q < - 10 + 16 \\ 2q < 6 \\ \frac{2q}{2} < \frac{6}{2} \\ q < 3[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Find the probability that a point in the figure chosen at random is in the
shaded kite. *Remember, the are of a kite is found by one half of diagonal
1 times diagonal 2. *
A)1/3
B)1/4
C)3/4
D)1/2
Answers
Answer:
Correct option: D) 1/2
Step-by-step explanation:
First we need to find the area of the kite and the area of the rectangle.
The diagonals of the kite are 16 and 12, as they are parallel to the sides of the rectangle.
So the area of the kite is A1 = (1/2) * 16 * 12 = 96
The area of the rectagle is the product of the sides, so A2 = 16 * 12 = 192
Now, to find the probability of a random point being inside the kite, we just need to divide the area of the kite by the area of the rectangle:
Probability = A1 / A2 = 96 / 192 = 1/2
Correct option: D)
Given the letters from the word: RESPONSIBILITY, what is the probability of choosing one letter and getting an "I"?
Answers
letter of i's/number of letters in the word
3/14
Please solve this with an explanation. will mark as brainiest.
Answers
Answer:
[tex]236cm^2[/tex]
Step-by-step explanation:
[tex]A=2(wl+hl+hw)=2*(5*2+3*2+3*5)=62cm^2[/tex]
[tex]A=2(wl+hl+hw)=2*(3*5+3*5+3*3)=78cm^2[/tex]
[tex]A=2(wl+hl+hw)=2*(3*5+3*5+3*3)=78cm^2[/tex]
[tex]A=2(wl+hl+hw)=2*(3*3+3*3+3*3)=54cm^2[/tex]
[tex]62+78+78+54=272cm^2[/tex]
What is the equation in slope intercept form of the line that has a slope of -3 and passes through the point (0,5)
Answers
Since the slope is -3, you write -3x since x labels the slope. The point is on the y axis giving us the y intercept which is 5.
A bucket contains 10 balls numbered as follows: 1, 2, 2,3,3,3,3,4,4,5. A
single ball is randomly chosen from the bucket. What is the probability of
drawing a ball numbered 3?
Answers
Answer:
4/10 or 40%
Step-by-step explanation:
there are 4 balls with the number 3. 4 balls out of 10. 4/10.
Answer:
1000000000000000000000000000000000000000000000%
Step-by-step explanation:
idk I cant count sooooo....
Name all factors of x3 – 3x2 – 10x.
Answers
The answer is: x(x-5)(x+2)
x(x^2-3x-10)
x(x-5)(x+2)