Step-by-step explanation:
16-6=10
because 16.058 rounds down
6.143 rounds down
What is the radius of a circle whose equation is x2+y2+8x-6y+21=0?
O 2 units
O 3 units
4 units
ОО
O 5 units
The radius of the circle whose equation is x² + y² + 8x - 6y + 21 = 0 is 2 units
Radius of a circleSince the equation of the circle is x² + y² + 8x - 6y + 21 = 0, to find the radius, we complete the square in the terms x and y and convert it to the form (x - a)² + (y - b)² = r² (1) which is the standard equation of a circle.
So, x² + y² + 8x - 6y + 21 = 0
x² + 8x + y² - 6y + 21 = 0
x² + 8x + (8/2)² - (8/2)² + y² - 6y + (-6/2)² + (-6/2)² + 21 = 0
x² + 8x + 4² - 4² + y² - 6y + (-3)² - (-3)² + 21 = 0
(x + 4)² - 4² + (y - 3)² - (-3)² + 21 = 0
(x + 4)² - 16 + (y - 3)² - 9 + 21 = 0
(x + 4)² + (y - 3)² - 16 - 9 + 21 = 0
(x + 4)² + (y - 3)² - 4 = 0
(x + 4)² + (y - 3)² = 4 (2)
Comapring (1) and (2), r² = 4
So, r = √4
r = 2
So, the radius of the circle whose equation is x² + y² + 8x - 6y + 21 = 0 is 2 units
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The radius of the circle given by the equation is 2.
What is Circle?Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.
Standard form of a circle is given by the equation,
(x - h)² + (y - k)² = r²
where, (h, k) is the center of the circle and r is the radius of the circle.
Given equation is,
x² + y² + 8x - 6y + 21 = 0
(x² + 8x + 16) + (y² - 6y + 9) - 4 = 0
(x + 4)² + (y - 3)² = 4
(x + 4)² + (y - 3)² = 2²
Hence the radius of the circle is 2.
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EASY 20 POINTS AND BRANLIEST PLEASE HELP write the following without the absolute value sign
Ia^2I if a<0
a^2 is in absolute value
Answer:
a^2
Step-by-step explanation:
Ia^2I if a<0
Since a^2 is always positive, we can remove the absolute value sign and nothing will change
a^2
Find the missing angle
Answer and Step-by-step explanation:
First, solve for the angle TRS, so that we can find the missing angle.
Subtract the two angles from 180 (because all triangle's angles add up to 180).
180 - 58 - 60 = 62.
By the vertical angles theorem, 62 is equal to the missing angle.
#teamtrees #PAW (Plant And Water)
Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = 2(x-6)2 + 5
A. F(x) = x2 + 5 and G(x) = x-6
B. F(x) = 2x + 5 and G(x) = (x-6)2
C. F(x) = x - 6 and G(x) = 2x2 + 5
O D. F(x) = (x - 6)2 and G(x) = 5
Answer:
[tex]f(x) = 2x + 5[/tex]
[tex]g(x) = (x - 6)^2[/tex]
Step-by-step explanation:
Given
(a) to (d)
Required
Which will give:
[tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]
Equate the expression in bracket to g(x)
[tex]g(x) = (x - 6)^2[/tex]
Replace g(x) with x in: [tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]
[tex]f(x) = 2x + 5[/tex]
Find the angle of depression
from point A to point C.
А
2
58°
6 mi
B
С
Angle of depression = [ ? 1°
Answer:
Angle of depression = 32°
Step-by-step explanation:
The angle of depression from point A to point C is complementary to m<A
m<A = 58°
Therefore,
angle of depression + 58° = 90°
Angle of depression = 90° - 58°
Angle of depression from point A to point C = 32°
In a year study found that the 7 billion people in the world 6 billion have cell phones how many people live without access for that year
Answer:
1 billion
Step-by-step explanation:
there are 7 billion people and out of that 7 billion , only 6 billion have cell phones and the remaining people don't have cellphones.
Working out:
7 -6=1
Plz help me well mark brainliest if correct.....????????
Answer:
Step-by-step explanation:
31 , b/c it's the most common
c 32
Step-by-step explanation:
plz follow me wenelyn andoyo duay sana makatulong ako
The approximate land areas of the seven continents are listed in the table below.
Continent Area
(in sq. miles)
Africa 11.7 million
Antarctica 5.4 million
Asia 17.3 million
Australia 3.3 million
Europe 3.8 million
North America 9.4 million
South America 6.9 million
What is the median of the land areas of the seven continents?
9.4 million
6.9 million
7.4 million
5.4 million
Answer:
6.9 million
Step-by-step explanation:
the median is the number that is in the middle or centre of a set of observations that is arranged either in an ascending or descending order.
Arrange the land areas in ascending order :
3.3, 3.8, 5.4, 6.9, 9.4, 11.7, 17.3
the number in the middle is the 4th number which is 6.9
A garden shed is 5 m from back to front; the back wall is 1.9 m high and the tool
slopes up uniformly to the front wall which is 2.6 m high. Find the area of the
side wall.
Answer:
yagni
Step-by-step explanation:
de bo dam me ha te cu te mala panga uh hu ayeee
PLEASE HELP ASAP!! *the thing above is a picture click to see full problem*
Answer:
101
Step-by-step explanation:
180-79
Molly roller blades at a constant speed, travelling 8 km from her home to the library in 0.5 h. What was the rate of change of distance with respect to time?
Answer:
speed = Distance ÷ time
Step-by-step explanation:
S = 8km ÷ 0.5h
S = 16km/h
The rate of change of distance with respect to time was 16km/hr.
What is the average speed?Calculating average speed involves dividing the total distance traveled by the total time it took to cover that distance. Speed is the rate of movement of something at a specific time. Average speed refers to the average speed over the course of a journey.
How to solve this problem?Here, the total distance = 8km
Total time = 0.5 hr
Then the rate of change = total distance/total time = 8/0.5 = 16km/hr
Therefore, the rate of change of distance with respect to time was 16km/hr.
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Please help!!!! I need this to pass my classs
Answer:
a. Maximum
b. (-1, 4)
c. -3, 1
d. x = -1
Step-by-step explanation:
a. There is a maximum value of the function (highest point) because the parabola opens downward.
b. The vertex is the turning point--the point where the maximum is.
c. The roots (or "zeros") are the values of x where the curve intersects the x-axis
d. The axis of symmetry is a vertical line which passes through the vertex.
I NEED HELP PLEASEE HELP ME
Answer:
TRUE
FALSE
FALSE
TRUE
Step-by-step explanation:
yan na po god bless
You invest $50 with a simple interest return rate of 4% per year. How many years will it take to in investment to reach $70?
Answer:
It would take 10 years for the investment to reach 70 dollars.
Step-by-step explanation:
The investment would gain 2 dollars per year. So in 10 years it will gain 20 dollars.
y = - 1/(1 + cos y) Find dy/dx.
Step-by-step explanation:
you have to use this
u/v=u'×v-v'×u/v²
0×(1+cosy)-(-1×-siny)/(1+cosy)²
-siny/(1+cosy)²
hopefully its correct
Suppose that 10% of the fields in a given agricultural area with about 2,500 fields are infested with the sweet potato white fly. One hundred fields in this area are randomly selected and checked for white fly. A. Can this be considered an almost binomial situation
Answer:hmmm
Step-by-step explanation:
What is the volume of this cube?
Answer:
1 cubic ft
Step-by-step explanation:
Volume = Length × width × height
= 1 × 1 × 1
= 1
Answer:
1 cubic ft
Step-by-step explanation:
Volume = l × w × h
= 1 × 1 × 1
= 1 cubic ft
all the numbers between 20 and 40 which are multiples of 2 and 3
Answer:
21, 24, 27, 30, 33, 36, 39.
Step-by-step explanation:
Answer:
multiples of 3 : 21, 24, 27, 30, 33, 36, 39.
multiples of 2 : 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40
Step-by-step explanation:
Please answer :D pretty simple for math experts I’m just bad
Answer: 74 inches
Step-by-step explanation:
Since we are given the equation of the regression line for the son's height y to be:
y = 0.5x + 38
where,
x = father's height = 72 inches
Then, we put the value of x into the equation and this will be:
y = 0.5x + 38
y = 0.5(72) + 38
y = 36 + 38
y = 74 inches
Therefore, the son is 74 inches.
HELP SOON!!
What is sum of the geometric series 5 sigma k-1 6(4)^4-1?
(picture attached)
Answer:
the answer is 2,046...
∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is 2046
What is a geometric series ?The sum of an infinite number of terms that are in constant ratios.
From the given data
∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is (here k is replaced with
n)
6(4)ⁿ⁻¹ for n=1 is
=6(4)¹⁻¹
=6(4)⁰
= 1
6(4)ⁿ⁻¹ for n=2 is
=6(4)²⁻¹
=6(4)¹
=24
6(4)ⁿ⁻¹ for n=3 is
=6(4)³⁻¹
=6(4)²
=6(16)
=96
6(4)ⁿ⁻¹ for n=4 is
=6(4)⁴⁻¹
=6(4)³
=6(64)
384
6(4)ⁿ⁻¹ for n=5 is
=6(4)⁵⁻¹
=6(4)⁴
=6(256)
=1536
∴∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is
6 + 24 + 96 + 384 + 1536
=2046
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i probably did it wrong. please do a good explanation on how to find this out and answer my questions for brainliest thank you
Answer:
Step-by-step explanation:
As you can see from the value in the middle of the questions, the domain refers to all the possible x-values (input values) while the range refers to all the possible f(x) values (output values :: y-values). Therefore, for the domain, since the endpoints of the graph are closed circles it means that they are included so the domain would be ...
Domain: -9 ≤ x ≤ 7
The range would be the lowest and highest included y-value on the graph which in this case would be ...
Range: -6 ≤ f(x) ≤ 4
The question is in the picture.
[tex] B. \:\frac{2}{ {a}^{7} } [/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{8}{2 \: {a}^{5} } \times \frac{6}{12 \: {a}^{2} } \\ = \frac{48}{24 \:( {a})^{5 + 2} } \\ = \frac{2}{ {a}^{7} } [/tex]
Note:-
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Determine if 0.949449444944449444449 rational or irrational and give a reason for answer.
Answer:
irrational if it's more after this number but if it stops at the last 9 then it's a rational number
hope this helps
have a good day :)
Step-by-step explanation:
This is irrational if it's more after this number but,
If it stops at the last 9 then it's a rational number.
We have given that,
0.949449444944449444449.
What is the meaning of irrational numbers?An irrational number, any real number that cannot be expressed as the quotient of two integers.
We have to determine rational or irrational.
irrational if it's more after this number but.
If it stops at the last 9 then it's a rational number.
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Find the measure of angle x.
X Х
x = [?]
/20
Answer:
x=20[vertically opposite angle are equal]
Lin and Claire each threw a rock into a stream. The black graph represents the height of a stone t seconds after it was tossed up by Lin and the purple graph represents the height of a stone t seconds after it was tossed up by Claire.
1) Whose stone hit the water second, and at what time?
2) How long did it take for Claire's rock to reach its maximum? What is the maximum height?
3) Who had the higher initial height? What was it?
Answer:
that can't be the right graph because it is not purple and black or has the right information needed to answer this question
Step-by-step explanation:
Is there a graph that goes with this question?
I really want to help but this is not it
what is the equivlalent expression of 6m
Answer:
6 * m
Step-by-step explanation:
6m is is multiplication so should be the equivalent expression
Written out as words clearly says
six times a number
times meaning multiplication
Meaning any other expression is equivalent as long as it is a form of multiplication
If I'm wrong please tell me if not
Hope this helped :]
One hundred students were surveyed and asked if they participate in band and if they play a sport. The table below summarizes their responses.
Of students that do NOT play a sport, what is the relative frequency of those who participate in band?
Answer:
22/30
Step-by-step explanation:
22 students participate in band and 8 do not. The total number of students that don't play sports are 30 in total cause 22 + 8 = 30.
So, 22/30
Answer:22/30
Step-by-step explanation:
What is the solution to the system of
equations shown below?
S23
2x + 2y = 12
6x - 2y = 20
Answer:
The solution, as an ordered pair, is (4, 2).
Step-by-step explanation:
2x + 2y = 12
6x - 2y = 20 Adding the 2 equations will eliminate y:
8x + 2y + (-2y) = 32
8x = 32
x = 4.
Substitute x = 4 in the first equation:
2(4) + 2y = 12
2y = 12 - 8
2y = 4
y = 2.
ADULT
£10.85
TEEN
£9.76
TICKET PRICES
CHILD
£8.43
SENIORS
£4.30
FAMILY
£32.99
If Syed pays for 3 adults, 5 teens, a child and 2 seniors with two £50 notes, who
change does he receive from the ticket seller?
Answer:
£1.62
Step-by-step explanation:
add them all up then subtract 100 and forget about the negative sign
What is the volume of the rectangular prism?
Answer:
The one all the way to the left (1 1/9 ft)
Step-by-step explanation:
You have to multiply Height x Width x length together.
Height will be 5/3 or 1.66
length side will have the lenght of 1
Width will be 2/3 or .66
So now you just have all of that. And you get 1.1 ( I multiplied the decimals )
And that was closest to 1 1/9