Answer:
the answer is 8 units
Step-by-step explanation:
The radius of a circle given by the equation [tex]\rm x^2+y^2-2x+8y-47=0[/tex] is 8 units.
It is given that the circle equation is given by [tex]\rm x^2+y^2-2x+8y-47=0[/tex]
It is required to find the radius of the circle.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We circle the equation:
[tex]\rm x^2+y^2-2x+8y-47=0[/tex]
Converting this equation into the standard form of the circle:
[tex]\rm (x-a)^2+(y-b)^2=r^2[/tex]
[tex]\rm x^2+y^2-2x+8y-47=0[/tex]
[tex]\rm x^2+y^2-2x+8y-47+1-1+16-16=0[/tex] (by adding and subtracting by
1 and 16)
[tex]\rm x^2-2x+1+y^2+8y+16-1-16-47=0\\\\\rm (x-1)^2+(y-(-4))^2-64=0\\\\\rm (x-1)^2+(y-(-4))^2=64\\\\\rm (x-2)^2+(y-(-4))^2=8^2 \\\\[/tex]
By comparing with the standard circle equation, we get:
r = 8
Thus, the radius of a circle given by the equation [tex]\rm x^2+y^2-2x+8y-47=0[/tex] is 8 units
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Which expression converts startfraction pi over 4 endfraction radians to degrees?
Using the degree and radian relation π/4 radian equals 45°.
Given angle =π/4 radian
What is the relation between radian and a degree?π radian equals 180 degrees means 1 radian equals 180/π degree or we can say 1-degree equals π/180 radian.
Since, 1 radian equals 180/π degree.
So, π/4 radian =180/π * π/4 degree.
π/4 radian = 45°.
So, π/4 radian equals 45°.
Therefore, using the degree and radian relation π/4 radian equals 45°.
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Can you help me solve a question?
Answer:
Yeah sure
Step-by-step explanation:
Answer:
Yes what is it?
Step-by-step explanation:
!ask a question
If X∼U(3,34) follows a uniform distribution, what is the mean and standard deviation of X?
The mean of the uniform distribution of X is the average of the distribution
The mean and standard deviation of X are 18 and 9.24, respectively
How to determine the mean?The uniform distribution of X is given as:
X∼U(3,34)
This means that:
a = 3 and b = 34
The mean is calculated as:
[tex]\bar x = \frac{a + b}{2}[/tex]
So, we have:
[tex]\bar x = \frac{2 + 34}{2}[/tex]
[tex]\bar x = \frac{36}{2}[/tex]
Evaluate
[tex]\bar x = 18[/tex]
How to determine the standard deviation?This is calculated as:
[tex]\sigma = \sqrt{\frac{(b - a)^2}{12}}[/tex]
Substitute known values
[tex]\sigma = \sqrt{\frac{(34 - 2)^2}{12}}[/tex]
Evaluate the exponent
[tex]\sigma = \sqrt{\frac{1024}{12}}[/tex]
Divide
[tex]\sigma = \sqrt{85.33}[/tex]
Evaluate the root
[tex]\sigma = 9.24[/tex]
Hence, the mean and standard deviation of X are 18 and 9.24, respectively
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what is standard deviation round3d to one decimal place
Carter is considering two different jobs. Job A has a starting bonus of $300 and pays $12.50 an hour Job B has starting a bonus and pay that are represented by the equation
y=10z + 400, where y is the total amount earned and I is the number of hours worked Select all statements that are true
Job B has a larger starting bonus than Job A.
Job A pays more per hour than Job B.
Job A has a larger starting bonus than Job B.
Job B pays more per hour than Job A.
Answer:
Step-by-step explanation:
Job B has a larger starting bonus than Job A: true,
Job B pays 400, A pays 300.
Job A pays more per hour than Job B: true,
Job A pays 12.50 per hour, Job B pays 10 per hour.
What are all that apply?
height or altitude for a parallelogram means the perpendicular distance from one parallel side to the other. Check the picture below.
Help?? It's for calc.
Answer:
the answer is 1.258
Answer:
1.258
Step-by-step explanation:
someone, please help me out with these two problems, it's trig.
Answer:
2nd problem
The sum of the angles of the triangle is 180°.
B= 90°
Which strategy would most help minimize the risk of being underinsured
The strategy that would most help minimize the risk of being underinsured is to take a higher deductible.
What is a deductible?It should be noted that a deductible simply means the amount that paid by an individual before the insurance holder will give the expenses.
In this case, the strategy that would most help minimize the risk of being underinsured is to take a higher deductible.
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#SPJ1
Answer:
choosing max coverage
Step-by-step explanation:
Name 2-3 types of retirement accounts and explain what they are.
Some examples of he most common types of retirement accounts are:
401(k) andSEP IRA.What is the 401 (k) Retirement Plan?
The 401 (k) is a type of requirement plan that allows employees to contribute a percentage of their wages to individual accounts. Some of it's features are:
The contributions to this account is tax freeprovides the contributor with early access to their moneyIt allows the contributors to contribute up to $18,500 for those under the age of 50 and $24,500 for those above the age of 50.With the 401K, there is a matching contribution from the employer by at least 90% of employers.Taxes on investments are defferred until retirements.The term 401(k) is derived from the section of the US Internal Revenue Code that established the 401(k) retirement plan.
What is the SEP IRA?
SEP is the accronym for Simplified Employee Pension. SEP IRA is a retirement savings plan a sort of domesticated plan that employers created to the advantage of themselves and their employees.
The advantages of the SEP IRA are:
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Learning Task 1: Solve and check. Write your answers on a separate sheet of paper.
1. X + 5 = 2
2. X – 10 = 22
3. 3n / 6= 7
4. 96 – 4x = -28
5. 2x/ 3= 10
6. 5y – 2 = 18
7. -32 = 15 + d
8. H/5 = 8
9. 2/4 – 7 = 35
10. 453 + 364 + d = 1000
Pasagot po pls
Answer:
hello
[tex]x + 5 = 2\\x = 2 - 5\\x = - 3 \\\\x - 10 = 22\\x = 22 + 10 \\x = 32 \\\\3 n /6 = 7 \\3 n = 42\\n = 14\\\\96 - 4 x = - 28\\- 4 x = - 28 - 96\\- 4 x = - 124\\x = 31\\\\2 x /3 = 10 \\2 x = 30\\x = 15 \\\\5 y - 2 = 18\\5 y = 18 + 2\\5 y = 20\\y = 20/5 = 4 \\\\- 32 = 15 + d \\- d = 15 + 32\\- d = 47\\d = - 47 \\[/tex]
[tex]h /5 = 8 \\h = 40 \\\\453 + 364 + d = 1 000\\d = 1 000 - 817\\d = 183\\\\[/tex]
Step-by-step explanation:
Bruce and his family arrived at the beach at 10:28 a.m. on Saturday morning. They left their house 12 hours and 20 minutes before their arrival at the beach. What time did they leave their house?
Include am or pm in your answer.
help me pls
Answer:
10:48 pm will be your answer
PLEASE I NEED HELP WITH THIS!! BRAINLIEST FOR THE FASTEST ANSWER
Answer:
B - 2093 in cubed
Step-by-step explanation:
Use the formula 4/3 * pi * r^3 to find the volume of one basketball, using 5 as the radius. Next, multiply this number by 4 to find the volume of 4 basketballs. The answer should be option B.
Hopefully this helps- let me know if you have any questions!
Answer:V≈268.08
Step-by-step explanation:Volume of a sphere: V = (4/3)πr. times 4 equals V≈268.08. i think this is it!! i hope it works loe you have an amazing day:) -marina mae
write an absolute value equation in the format lx-bl=c (where b is a number and c could be both a number or expression) with one solution x=-3
3y - 2x = -15 and x = -6y
Answer:
X=6, Y=-1
Solved using substitution
Answer:
[tex]y = - 1[/tex]
Step-by-step explanation:
[tex]3y - 2( - 6y) = - 15 [/tex]
Simplify both sides
[tex]3y + 12y = - 15[/tex]
Combine Like terms
[tex]15y = - 15[/tex]
Divide both sides by 15
[tex]y = - 1[/tex]
-7i x -1
I just need to multiply these 2 numbers but i forgot how to
How many students are in Mr. Gatlin’s class?How did you know? Justify your reasoning..
Answer:
where is the full question?
Step-by-step explanation:
An isosceles trapezoid has vertices at (-2, 1), (2, 1), (5, -1) and (-5, -1). find the measure of each diagonal
Check the picture below.
well, is an isosceles trapezoid, namely the slanted sides are equal, so the diagonals, in red, are also equal, so let's just find the length of the solid line diagona, since the dashed one will be the same length anyway.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[2 - (-5)]^2 + [1 - (-1)]^2}\implies d=\sqrt{(2+5)^2+(1+1)^2} \\\\\\ d=\sqrt{7^2+2^2}\implies d=\sqrt{53}\implies d\approx 7.28[/tex]
WILL PICK BRAINLIEST AND GIVE LOT OF POINTS!
The base of a solid S is the triangle enclosed by the line x+y=1, the x-axis, and the y-axis.
Cross-sections perpendicular to the x-axis are equilateral triangles.
Determine the exact volume of solid S.
Also bounds are from 0 to 1.
Solve using integration.
Step-by-step explanation:
is this what you were looking for?
What is the value of the expression, when x = 6?
Answer:
162
Step-by-step explanation:
7(3×6-4)+4^3
7(18-4)+4^3
7×14+4^3
98+64
162
Answer:
162.......
Step-by-step explanation:
= 7 ( 3x - 4 ) + 4^3
= 7 ( 3× 6 - 4 ) + 4^3
= 7 ( 18 - 4 ) + 4 ^3
= 7 ( 14 )+ 4 × 4 × 4
= 98 + 64
= 162..
Can someone please answer this?
ANSWER
it is the one that is highlighted Yellow
f=±✓de/4e
photo is how you do the work
Please help me ! Reduced to lowest terms
Answer:
Step-by-step explanation:
7) 2ab + 4ac = 2*a*b + 2 *2 *a*c
= 2a(b + 2c)
[tex]\dfrac{2ab^{2}c}{2ab+4ac}=\dfrac{2*a* b^{2}*c}{2a(b+2c)}\\\\\\\text{2a in the denominator and numerator get cancelled}\\\\ = \dfrac{b^{2}c}{b+2c}[/tex]
8) ac - a²c² = c( a - a²c)
bc - abc = c(b - ab)
[tex]\dfrac{ac - a^{2}c^{2}}{bc-abc^{2}}=\dfrac{c(a-a^{2}c)}{c(b-ab)}\\\\[/tex]
[tex]=\dfrac{a-a^{2}c}{b-abc}[/tex]
9) b²+ 4b - 5 = b² + 5b - 1b - 5
= b(b + 5) - 1(b + 5)
= (b +5)(b - 1)
b² + 8b + 15 = b² + 5b + 3b + 15
= b(b + 5) + 3(b + 5)
= (b + 5 )(b + 3)
[tex]\dfrac{b^{2}+4b-5}{b^{2}+8b+15}=\dfrac{(b+5)(b-1)}{(b+5)(b+3)}\\\\\\[/tex]
[tex]=\dfrac{b-1}{b+3}[/tex]
Help I have to put it in simplest exponential form I don't know the answer
Answer:
Step-by-step explanation:
In exponent multiplication, if bases are same, add the exponents.
[tex]a^{m}*a^{n}=a^{m+n}\\\\\\(-5)^{3}*13^{-2}*(-5)*13^{9}= (-5)^{(3+1)}*13^{(-2+9)}\\\\\\= (-5)^{4}*13^{7}[/tex]
Find the area OR cicumference of the semi-circle below. You must show all work to get full credit. Don't forget to label your answer.
Answer:
28.274 cm^2
Step-by-step explanation:
A = pi * r^2
A = pi * 3^2
A = pi * 9
28.2743338823
or
28.274
more questions help me
Answer:
a. -10/13*3/13
b. -30/169
Step-by-step explanation:
Simplify the following if x = 3 & y = 4:
1. 2x + y =
2. 3x + 2y =
3. 3y + 2x =
4. 10x + 4y + 2x =
5. 6y + 5x =
6. 7x + 4y =
Use your knowledge about parentheses and substitution to solve the following:
q = 1; r = 2; s = 3; t = 4; x = 5; y = 6
7. 2(x+4) + 10 =
8. 3(4x) + 4 =
9. 10(xy) =
10. 2(x + y) =
11. 3(rs) + 4(x)
12. 2(q) + 2(x + t) =
13. 6(3t + 4s) =
14. 10(10x) + 10y =
15. x(xy) =
16. r(s)(t) =
17. (r)(s)(t)(x)(y) =
18. 6(2x + 3Y) =
Answer: (All below)
Step-by-step explanation:
1. 2x + y = 10
2(3) + 4) = 10
6 + 4 = 10
2. 3x + 2y =
3(3) = 2(4) =
9 + 8 = 17
3. 3y + 2x = 18
3(4) + 2(3) = 18
12 + 6 = 18
4. 10x + 4y + 2x = 52
10(3) + 4(4) + 2(3) = 52
30 + 16 +6 = 52
46 + 6 = 52
5. 6y + 5x =39
6(4) + 5(3) = 39
24 + 15 = 39
6. 7x + 4y = 37
7(3) + 4(4) = 37
21 + 16 = 37
7. 2(x+4) + 10 = 28
2( 5 + 4) + 10 = 28
2(9) + 10 = 28
18 + 10 = 28
8. 3(4x) + 4 = 64
3(4(5)) + 4 = 64
3(20) + 4 = 64
60 + 4 = 64
9. 10(xy) = 300
10(5(6)) = 300
10(30) = 300
10. 2(x + y) = 22
2(5 + 6) = 22
2(11) = 22
11. 3(rs) + 4(x)
3(2(3)) + 4(5) =
3(6) + 20 =
18 + 20 = 38
12. 2(q) + 2(x + t) = 20
2(1) + 2(5 + 4) = 20
2 + 2(9) = 20
2 + 18 = 20
13. 6(3t + 4s) = 84
6(3(1) + 4(3)) = 84
6(2 + 12) = 84
6(14) = 84
14. 10(10x) + 10y = 560
10(10(5)) + 10(6) = 560
10(50) + 60 = 560
500 + 60 = 560
15. x(xy) = 150
5(5(6)) = 150
5(30) = 150
16. r(s)(t) = 24
2(3(4)) = 24
2(12) = 24
17. (r)(s)(t)(x)(y) =720
(2)(3)(4)(5)(6)= 720
6(20)(6) = 720
120(6) = 720
18. 6(2x + 3Y) = 1080
6(2(5) + 3(6)) = 1080
6(10 + 18) = 1080
6(180) = 1080
find the total surface area of the net below.
Answer:
78,4 cm^2
Step-by-step explanation:
I did this in my head so i could be wrong but im pretty certain this is right
Given m||n, find the value of x.
PLEASE ANSWER ASAP
WILL GIVE BRANLIEST
Since the horizontal lines are parallel, we can set the angles equal to each other. So...
7x - 1 = 8x - 14
Solving for x...
x = 13
i only need help finding the radius that’s all thanks
Answer:
3
Step-by-step explanation:
from the center to the edge of circle, just counts 3
1. What is the volume, in cubic feet, of a rectangular solid with a length of 12 feet, a width of
3 feet, and a height of 4 feet?
Answer: 144 Cubic Feet
Explanation: Multiply all of your numbers together to get your volume.
Numbers : Length(12) x Width(3) x Height(4) = 144 cubic feet.
I hope this helps you! :)
To turn a decimal into a percent you move the decimal 2 spaces to which direction.
Answer:
Right
Step-by-step explanation:
You move the decimal to the right to make the decimal a whole number :)
Example below:
0.25
Move 2 places to the right
25%
Have a great day!!
Please rate and mark brainiest!!
Answer: You move the decimal point two spaces to the right.
Step-by-step explanation:
Multiply by 100.