The center of the circle is at -2 + 5i.
What are Complex Number?Complex Numbers. Complex numbers are those that are expressed as a+ib, where a and b are actual numbers and I is a fictitious number called a "iota."
Complex numbers are numbers that consist of two parts — a real number and an imaginary number.
Given:
Diameter = –10 – 1 i = (- 10, - 1)
6 + 11 i = (6, 11)
Given that we are aware that these are the diameter's endpoints, it follows that the circle's center is the place that lies midway between the endpoints.
Then,
x = (-10 + 6) / 2
= - 4 / 2
= -2
y = (- 1 + 11) / 2
= 10 / 2
= 5
Hence, the center is located at (- 2, 5).
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3(4x-7)=27 i don't know what to do
Answer:
x = 4
Step-by-step explanation:
Given
3(4x - 7) = 27 ( divide both sides by 3 )
4x - 7 = 9 ( add 7 to both sides )
4x = 16 ( divide both sides by 4 )
x = 4
Answer:
x=4
Step-by-step explanation:
Distribute the 3 to the 4x and -7v
it will be 12x - 21= 27
you then take the 21 and add it to the 27 to isolate the 12x
it will be 12x = 48
to seperate the 12 from the x you divide on both sides so x/12 and 48/ 12
this will give you x= 4
explanation of how a shape moves with the rule (x+4, y-2)
Answer:
it goes right 4 and down 2
Answer:
yes
Step-by-step explanation:
x+4=0
=x=-4
y-2=0
y=2
Write the following as a mixed number. ( use the / symbol in your answer).
3.7777777...
Answer: 3/7
Step-by-step explanation:
Answer:
3 7/9
Step-by-step explanation:
0.7777777777777777777777777 is 7/9, so 3.777777777777777777777777777 is 3 7/9.
A vehicle factory manufactures cars. The unit cost (the cost in dollars to make each car) depends on the number of cars made. If cars are made, then the unit cost is given by the function . What is the minimum unit cost? Do not round your answer.
Answer:
The function is missing in the question. The function is [tex]$ C(x) = 0.8x^2 -544x +97410 $[/tex]
The answer is 4930
Step-by-step explanation:
Unit cost of a car is given as
[tex]$ C(x) = 0.8x^2 -544x +97410 $[/tex]
Cost will be minimum when
x = -(-544)/ 2 x 0.8
= 340
Therefore, minimum cost for unit car is
[tex]$ C(x) = 0.8x^2 -544x +97410 $[/tex]
[tex]$ = 0.8(340)^2 -544(340) +97410 $[/tex]
= 4930
A faucet leaks 4 oz. of water per minute. How many gallons of water are wasted in a year? (128 oz. = 1 gallon)
Answer: 16,425 gallons are wasted a year
Step-by-step explanation:
First find out how many minutes there are in a year then multiply it by how much oz the faucet leaks every years then convert it into gallons.
There are 525,600 minutes in a year now multiply it by 4.
525,600 * 4 = 2,102,400 So there are more than 2 million oz wasted in a year so now convert it to gallons.
If there are 128 oz for every gallons the divide 2,102,400 by 128 to find out how many gallons are wasted a year.
2,102,400 / 128 = 16,425
What is the value of the expression 3 2 (63+9 2 )
Answer:
PLS SOMEONE ANSWER MY QUESTION
Step-by-step explanation:
IF YOU COULD HELP ME I'D BE SO GRATEFUL! (Giving out brainliest) The points A(0,5), B(4,2), and C(0,2) form the vertices of a right triangle in the coordinate plane. What is the equation of the line that forms the hypotenuse?
Step-by-step explanation:
The line that forms the hypotenuse includes line AB.
Gradient of line AB = Rise/Run = (5-2)/(0-4) = -3/4.
y = -3/4 * (x) + c
When x = 0, y = 5. Hence c is 5.
The equation is y = 5 - (3x/4).
64 ones, 67 twos, 73 threes, 59 fours, 72 fives, and 71 sixes. What is the experimental probability of rolling an even number
Answer:
Answer: The answer is (B) 48.5%.
Step-by-step explanation: Given that a number cube is rolled with the results that 64 ones, 67 twos, 73 threes, 59 fours, 72 fives, and 71 sixes appears. We are to calculate the experimental probability of rolling an even number.
The number of ways in which an even number is rolled is given by
and the total number of ways is given by
Therefore, the required probability is given by
Thus, (B) is the correct answer.
Write an algebraic expression to represent each verbal expression. 5 times the sum of a number and 1
Answer: 5(x+1)
Step-by-step explanation:
Let the number be x
Sum of number and 1 is x+1
5 times the sum is 5(x+1)
A conveyor belt moves at a constant rate of
12 feet in 3 seconds. A second conveyor
belt moves 16 feet in 4 seconds. Is this a proportional relationship, why or why not.
Answer:
Yes!!!
Step-by-step explanation:
Well, 12/3=4 16/4=4
4=4
Mark me Brainliest!!!
UwU
Yes, the conveyors are in a proportional relationship.
Given,
A conveyor belt moves at a constant rate of 12 feet in 3 seconds.
A second conveyor belt moves 16 feet in 4 seconds.
We need to find whether the two conveyors are in proportion relationship.
What is a proportional relationship?
There is a proportional relationship if the ratios of each pair of values are the same.
We have,
- First conveyor belt
12 feet in 3 seconds.
Ratio = 12 / 3 = 4
- Second conveyor belt
16 feet in 4 seconds.
Ratio = 16 / 4 = 4
Ratios are the same.
4 = 4
Thus the conveyors are in a proportional relationship.
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I need help please can someone help me !!!!!!
Which of the following is most likely the next step in the series?
The most likely next step in the series is Option B.
Option B is the correct answer.
What is a series of patterns?A series of patterns is a sequence of related designs, shapes, colors, or other elements that follow a consistent and predictable order.
The patterns may repeat or vary in a systematic way, creating a sense of rhythm, symmetry, or harmony.
We have,
From the series of patterns, we see that,
The number of arrows is increasing in odd arithmetic numbers.
So,
1, 3, 5,
The next step must have 7 arrows.
And,
The color is alternated as:
Red, Blue, Red Blue.
So,
The next step in the series must be a blue color.
Thus,
The most likely next step in the series is Option B.
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4(2x-8)=3(2-3x) Pls tell Me what the answer is
What is the distance between each pair of points?
Answer:
The square root of 145.
Step-by-step explanation:
For this problem, make a right triangle between these two points. To solve for distance, use the Pythagorean formula. We know that one side is 8, and the other side is 9, so square 8 and 9 to get 64 plus 81. When you add these together, you get the square root of 145. You cannot further simplify the square root of 145, so that is the distance between the pair of points.
Answer:
For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.
Step-by-step explanation:
what is Evaluation Function?
Luke bought a new jacket using a 10% off coupon. He paid $12.93 total, which inclues $1.43 in tax.
Answer:
($14.37 was the original price)
Step-by-step explanation:
Least to greatest 3/4, 0.5 and 14/5
Answer: 0.5, 3/4, 14/5
Step-by-step explanation:
can someone help please?
Answer:
D
Step-by-step explanation:
A student has homework assignments in each of his five daily classes he estimates that each assignment will take 30 minutes to complete it if is estimate is correct what is the latest he can start to work so that he can finish in time to watch his favorite television show at 10 PM
Answer:
he has to start at 8:30 PM I think
Step-by-step explanation:
it's because you do 30*5 then you get the answer 150, then you will do 150/60 whitch will get you to 2.5 and I think 2.5 is 2 hours, and 30 minutes. Then you minius 2 hours, and 30 minutes to the 10 hours and you get 8:30 PM (I don't know if that's correct or not)
Help ASAP please
✌✌
Answer:
Step-by-step explanation:
1. [tex]\sqrt{72}[/tex] break it apart so you can solve
[tex]\sqrt{2} *\sqrt{36}[/tex]
[tex]\sqrt{2}[/tex] * 6
6[tex]\sqrt{2}[/tex]
It's irrational. [tex]\sqrt{2}[/tex] can not be written as a ratio.
2.
rational
a. -9
3.0
[tex]\frac{2}{5}[/tex]
2.4222... 2/90 = .22222.... 36/90 = .4 180/90 = 2
2+36+180 = 218/90 which is a ratio, so it's rational
irrational
b. [tex]\sqrt{8} = 2\sqrt{2}[/tex]
[tex]\pi[/tex]
3.
6.51326.... and [tex]\sqrt{39}[/tex]
The [tex]\sqrt{39}[/tex] = 6.2445
Comparing to the 6.51326, it has a difference of 0.268262. Thus, 6.51326 is greater than square root of 39.
A 3-column table with 3 rows. Column 1 is labeled Fraction with entries a, StartFraction 1 over 9 EndFraction, five-thirds. Column 2 is labeled Decimal with entries 1.2, b, 1.ModifyingAbove 6 with bar. Column 3 is labeled Percent with entries 120 percent, 11 and StartFraction 1 over 9 EndFraction percent, c. Identify the values of the variables that complete the table to show the equivalent fractions, decimals, and percents
Answer:
A=6/5
B=0.111...
C=166 2/3%
Step-by-step explanation:
just did it your welcome ;)
Answer:
6/5
0.111
166 2/3%
Step-by-step explanation:
On Edge 2020
A submarine dives below the surface, heading downward in two moves. If each move downward was 355 feet, where is the submarine after it is finished diving?
Answer: The submarine would be 710 feet below the surface after it is finished diving.
Step-by-step explanation:
Given: Each move downward was of 355 feet
If the submarine dives below the surface, heading downward in two moves.
Then, the total distance moved by submarine = 2 (355) feet
= 710 feet
Therefore, the submarine would be 710 feet below the surface after it is finished diving.
A rectangle has sides that measure 2 x + 11 units long and 10 x + 1 units long. What is the expression that represents the perimeter of the rectangle?
Answer:
(24x + 24) units
Step-by-step explanation:
A rectangle is a shape that has four sides in which all angles are equal and opposite sides are equal and parallel to each other. The perimeter of a rectangle is the sum of all its sides. Since opposite sides are equal, the perimeter is given as:
Perimeter = 2(length + width)
Since the sides of the rectangle are 2 x + 11 units long and 10 x + 1 units long. Hence:
Perimeter = 2(2x + 11 + 10x + 1)
Perimeter = 2(2x + 10x + 11 + 1) = 2(12x + 12)
Perimeter = (24x + 24) units
The graph of a function g is a
transformation of the graph of
f (x) = 9x + 5, where g(x) is 60% of
f(x). Write a rule for g
Answer:
[tex]g(x)=5.4x+3[/tex], graph of f(x) vertically compressed by factor 0.6 to get g(x).
Step-by-step explanation:
The given function is
[tex]f(x)=9x+5[/tex]
It is given that the graph of a function g is a transformation of the graph of
f (x), where g(x) is 60% of f(x). So, we need to write a rule for g.
[tex]g(x)=60\%\text{ of }f(x)[/tex]
It means graph of f(x) vertically compressed by factor 0.6 to get g(x).
[tex]g(x)=\dfrac{60}{100}(9x+5)[/tex]
[tex]g(x)=0.6(9x+5)[/tex]
[tex]g(x)=0.6(9x)+0.6(5)[/tex]
[tex]g(x)=5.4x+3[/tex]
Therefore, [tex]g(x)=5.4x+3[/tex]. Graph of f(x) vertically compressed by factor 0.6 to get g(x).
please help me asa[pasasppapspaspaspasppss
Answer:
B
Step-by-step explanation:
The smaller one is divided by 2 and is reflected around the y-axis
(i'm not good at explaining)
Evaluate 3z when z=9.
Answer:
27
Step-by-step explanation:
Replace the variable (z) with 9
3(9) or 3 × 9 = 27
Answer:
the answer is 27
plz give brainlist
hope this helped
if you make 1,000 dollars an hour and you need to make 28,600 to buy a home how many hours do you need to work (i NEED HELP NOW i will give 5 stars to the first person who answers
Answer:
28.6 hours or 28hours 36minutes
Step-by-step explanation:
1000dollars = 1 hour
What about 28,600 = ?
28600 × 1 hour = 28,600 hours
28,600 hours ÷ 1000 = 28.6 hours or 28 hours 36 minutes
3/5 (p - 3) = -4 solve for p please
Answer:
p=-11/3
Step-by-step explanation:
3/5p-9/5=-4/*5
3p-9=-20
3p=-11
p=-11/3
Suppose B is between A and C. If AB = 7 and AC = 11, find BC.
A
7
С
B.
11
BC = 4
BC = 18
BC = 7
BC = 12
answer is BC=4
notice that the starting point is A and the endpoint is C, it stated that from A to B the value is 7 and from A to C the value is 11 we just need to subtract AC-AB to find the third value of it
AC-AB= 11-7 =4
8x – 6 = 2 (4x + 3)
Is it no solution?
Answer:
X=12
Step-by-step explanation:
8×-6=2(4×+3)
8x-6=8×+6
8×-8×=6+6
×=12