Given:
Center of a circle is at point C(-1,2).
AB is the diameter of the circle.
Coordinates of the point A are A(2,6).
To find:
The coordinates of point B.
Solution:
Let the coordinates of point B are (a,b).
If AB is the diameter of the circle, then A and B are end points of diameter of the circle and the center C is the midpoint of AB.
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Point C = Midpoint of AB
[tex](-1,2)=\left(\dfrac{2+a}{2},\dfrac{6+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{2+a}{2}=-1[/tex]
[tex]2+a=-1\times 2[/tex]
[tex]a=-2-2[/tex]
[tex]a=-4[/tex]
Similarly,
[tex]\dfrac{6+b}{2}=2[/tex]
[tex]6+b=2\times 2[/tex]
[tex]b=4-6[/tex]
[tex]b=-2[/tex]
Therefore, the coordinates of point B are (-4,-2).
Find the segment of the line segment
Answer:
(1,3)
Hope this helps! :)
Write the explicit formula for the sequence below and use it to find the 47th term:
-3, 5, 13, 21, . . .
Given:
The sequence is:
[tex]-3,5,13,21...[/tex]
To find:
The explicit formula for the given sequence then find the 47th term.
Solution:
We have,
[tex]-3,5,13,21...[/tex]
The difference between two consecutive terms are:
[tex]5-(-3)=8[/tex]
[tex]13-5=8[/tex]
[tex]21-13=8[/tex]
The given sequence has a common difference. So, the given sequence is an arithmetic sequence with first term -3 and common difference 8.
The explicit formula for an arithmetic sequence is:
[tex]a_n=a+(n-1)d[/tex]
Where, a is the first term and d is the common difference.
Putting [tex]a=-3[/tex] and [tex]d=8[/tex] in the above formula, we get
[tex]a_n=-3+(n-1)8[/tex]
[tex]a_n=-3+8n-8[/tex]
[tex]a_n=8n-11[/tex]
Putting [tex]n=47[/tex], we get
[tex]a_{47}=8(47)-11[/tex]
[tex]a_{47}=376-11[/tex]
[tex]a_{47}=365[/tex]
Therefore, the explicit formula for the given sequence is [tex]a_n=8n-11[/tex] and the 47th term is 365.
Help plsss 10 points
a. 135
b. 120
c. 144
d. 108
Answer:
a. 135 is the correct answer
Step-by-step explanation:
Want to find out what the total degrees is of the octagon.
Octagon = 1080
Divide 1080 by 8
135 degrees per angle
Answer:
Option A is correct
Step-by-step explanation:
Hint :
Sum of angles in Regular Octagon = 1080°.
Simplify :
[tex] {z}^{o} = \frac{1080}{8} [/tex][tex]∴z = 135[/tex]
Hope it is helpful....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
damian already has 23 plants in the backyard, and he can also grown 2 plants with every seed packet he uses With 36 seed packets, how many total plants can Damian have in the backyard
{x+2y=10
{6y=-3x+30
Help please
Answer:
Step-by-step explanation:
x+2y=10
6y=-3x+30
~~~~~~~~~~~~~~~~
x =10 -2y
substitution
6y=-3x+30
6y=-3(10 -2y)+30
6y = -30 + 6y + 30
6y = 6y
everything disappears.... that means the lines are "the same line"
"co-incident" ... "infinite solutions"
Note" if you ended up with something like 3=0 then the lines are parallel
What is the volume of the rectangular prism?
Answer:
The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W. Ex: V = 5 in.
A plumber charges $30.00 per call plus $25.00 per hour. If a certain repair cost $80.00, how long does it take?
Answer:
2 hours
Step-by-step explanation:
Y=25x+30
80=25x+30
50=25x
2=x
What is the inequality for this verbal description? The value of yis less than or equal to the sum of six times the value of x and three. IN O A. y56x+ 3 O B. ys 3x + 6 O c. yz 6x+ 3 O D. y: 3x + 6 SUBMIT
Answer:
y =< 6x + 3
you copypasta looks weird, but I would go for option c if i read this correctly
Need done by 08.00 today
An iron ball has a density of 6 g/cm3.
The volume of the ball is 13 cm3.
What is the mass of the ball?
Step-by-step explanation:
Mass = Density × Volume or m=pV
Density = 6
Volume = 13
6 × 13 = 78
The mass of the iron ball is 78.
===================================================
Work Shown:
d = density = 6 grams per cm^3
m = mass = unknown
v = volume = 13 cm^3
--------
d = m/v
dv = m
m = dv
m = 6*13
m = 78 grams
Candace complete a 3.1 mile run in 22 1/2 minutes. At that pace, what is her unit rate, in minutes per mile? Round your answer to the nearest tenth.
3.1 x 22 1/2 = 69.75 rounded is 70
If K(5,-2) is rotated 90°, what will be the coordinates of its image?
K (2,5)
K'(-2,-5)
K (2,-5)
Answer:
I think it is k(2,5) or k'(-2, -5
Step-by-step explanation:
Hope This Helps Have A Good Day
70% sure that it is K(2,5)
Please help with this!
Answer:
pls help me tooo answer that
11..
Solve the equation using the zero-product property.
-n(5n-4)=0
A. n= -1 or n= 4/5
B. n= 0 or n= -4/5
C. n= -1 or n= -4/5
D. n= 0 or n= 4/5
Answer:
D. n= 0 or n= 4/5
Step-by-step explanation:
Factor and set each factor equal to zero.
n
=
0
,
4
5
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
n
=
0
,
4
5
Decimal Form:
n
=
0
,
0.8
I really need help ill love you forever if you help me thank you so much
Answer:
x = 13
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
30 = 1/2 (5x-5)
Multiply each side by 2
2*30 = 2* 1/2 ( 5x-5)
60 = 5x-5
Add 5 to each side
60+5 = 5x-5+5
65 = 5x
Divide each side by 5
65/5 = 5x/5
13 = x
PLEASE HELP I NEED IT REALLY FAST!!!!
The length is 5
Step-by-step explanation:
Let the length be x
Width = ( X - 2)
Area = 15
area = length * width
15 = x(x -2)
15 = x² - 2x
x² - 2x - 15 = 0
(x² + 3x) - (5x - 15) = 0
x(x + 3) - 5(x + 15) = 0
x - 5 = 0 or x + 15 = 0
x =5 or x = -15
x = 5
There are 24 men in a room
¼ of the men are wearing red shirts
½ of the men are wearing green shirts
The remaining men are wearing blue shirts
Workout the number of men that are wearing blue shirts
Answer:
6
Step-by-step explanation:
1/4= 6 men
1/2=12 men
therefore 24-12-6=6 men
3. f(-4) - 3.9(-2) =
Answer:
Step-by-step explanation:
Please give me the answer and show me how you solved it
Answer:
11/2 miles per hour
Step-by-step explanation:
that is the procedure above
A rectangular balcony has an area of 28 square meters. Its perimeter is 22 meters. What are the
dimensions of the balcony?
A) 7 meters by 4 meters
B) 14 meters by 2 meters
C) 11 meters by 2 meters
D) 10 meters by 1 meter
Find the measure of KL
A. 10
B. 5
C. 7
D. 8
Answer:
[tex]ML=9,MN=8[/tex]
[tex]MK=ML+LK[/tex]
[tex]9+-3+x[/tex]
[tex]=9-3+x[/tex]
[tex]MK=6+x[/tex]
[tex]ME=MN+NE[/tex]
[tex]ME=8+x[/tex]
Now using Secant secant theorem:-
[tex]ML*MK=MN*ME[/tex]
[tex]9(6+x)=8(8+x)[/tex]
[tex]54+9x=64+8x[/tex]
Subtracting 8x and 54 on both sides:-
[tex]54+9x-8x-54=64+8x-8x-54[/tex]
[tex]x=10[/tex]
[tex]KL=-3+x[/tex]
[tex]KL=-3+10[/tex]
[tex]KL=7[/tex]
so, your answer is C) 7
-------------------------
hope it helps....
Answer:
C.) 7
Step-by-step explanation:
I got it correct on founders edtell
[tex](5^{3})^{-3}[/tex] pls
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]( { {5}^{3} })^{ - 3} \\ \\ which\:means \:that \: {5}^{3}\: is \:multiplied \:thrice\: with\: itself\\ \\ = {5}^{3 \times - 3} \\ \\ = {5}^{ - 9} \\ \\= \frac{1}{ {5}^{9} } \\ \\ = \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} \\ \\ = \frac{1}{1953125} [/tex]
Note:-
[tex]( { {a}^{m} })^{n} = {a}^{m \times n} [/tex]
[tex]{a}^{ - m} = \frac{1}{ {a}^{m} }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
1. Select all sets of measurements that could identify the length, width, and diagonal of a rectangle,
respectively.
A. 5 feet, 7 feet, 8 feet
B. 6 feet, 7 feet, 12 feet
C. 8 feet, 9 feet, 10 feet
D. 9 feet, 12 feet, 15 feet
E. 7 feet, 10 feet, 13 feet
F. 1.5 feet, 2 feet, 2.5 feet
Answer: TRY E
IF WRONG TRY E, D, F
Step-by-step explanation:
Which equation represents a line which is parallel to the line 7y-4x=-14
Answer:
sympathise or strategies
Evaluate 5(x-1)-2when x=3
Answer:
3
Step-by-step explanation:
5(x-1)-2
5(2-1)-2
5×1-2
5-2
3
Hope this helps you :)
please mark brainliest
Please helpppppp 7th grade math
Answer:
A 1 cup
Step-by-step explanation:
Number of batches
24/6 = 4
Cups needed
1/4 * 4 = 1
solve for q: plz help
Answer:
-0.67 rounded to hundredths
Step-by-step explanation:
3×(q + 4/3) = 2
q + 4/3 = 2/3
q = -2/3 = -0.666666666666...
add 4312base5 3444base5 qunary number please add qunary
9514 1404 393
Answer:
13311₅
Step-by-step explanation:
Each column gets the sum mod 5, with a carry to the next column of the quotient of the sum and 5. For example, in the units column, 2+4 = 11₅, so 1 is written in the units column as the sum, and 1 is carried to the 5s column (next one to the left).
Continuing in this fashion gives the sum 13311₅.
__
If you recognize that 3444₅ = 4000₅ -1, you can subtract 1 from 4312₅ and add 4 in the 5³ place (4th column from the right). That gives you ...
4311₅ +4000₅ = 13311₅
_____
The base-5 addition table is attached.
A student said that a pair of complementary angles cannot also be adjacents. Is the student correct?
Answer:
No
Step-by-step explanation:
Complementary angles are two angles whose measures add to 90 degrees. They may or may not be adjacent.
There can be two adjacent angles inside a 90-degree angle, so therefore, there can be complementary adjacent angles.
The student is not correct.
