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).
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
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.
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
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:
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.
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 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
[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]
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
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
Find the segment of the line segment
Answer:
(1,3)
Hope this helps! :)
{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
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
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
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
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
Please help with this!
Answer:
pls help me tooo answer that
Which equation represents a line which is parallel to the line 7y-4x=-14
Answer:
sympathise or strategies
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
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
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
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...
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....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
Help plsss 10 points
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
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
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.
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.
3. f(-4) - 3.9(-2) =
Answer:
Step-by-step explanation:
