Answer:
Center of the circle is (-9, -7)
Radius of the circle = 5 units
Step-by-step explanation:
Given question is incomplete: here is the complete question.
Certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0.
What is the center of this circle ?
What is the radius of this circle ?
Since equation of the circle has been given by the equation,
x² + y² + 18x + 14y + 105 = 0
Now we will convert this equation to the standard form of the circle.
x² + 18x + y² + 14y = -105
[x² + 2(9)x] + [y² + 2(7)x] = -105
[x² + 2(9)x + 9²] + [y² + 2(7)y + 7²] = 9² + 7² - 105
(x + 9)² + (y + 7)² = 81 + 49 - 105
(x + 9)² + (y + 7)² = 25
(x + 9)² + (y + 7)² = 5²
By comparing this equation with the standard equation of the circle → (x - h)² + (y - k)² = r²
Center of the circle is (-9, -7) and radius of the circle is 5 units.
Answer:
(-4.8)
7 unit
i just did the test
Step-by-step explanation:
Explain which is the better value for money
a) 250g of spread at $1.85, or
B) 500g of spread at $3.10, or
C) 1 kg of spread at $5.90,
Answer:
The answer is C.
Step-by-step explanation:
To start off 250g is $1.85 and we want to get to 500g so if we add $1.85 with $1.85 we will get $3.70. This amount is more than the number if we bought just 500g once than if we bought 250g twice, because if we did, we would be paying more. But that's not all, if we add 500g with 500g we will get $6.20. That's more than the original price for 1 kg and if we multiply 250g 4 times than we get 7.4. So in all we would buy 1 kg.
What is the value of m in the equation {m
m -
n = 16, when n=8?
O 20
n
32
44
48
Answer:
24
Step-by-step explanation:
m-n = 16
Let n = 8
m-8 = 16
Add 8 to each side
m-8+8 =16+8
m = 24
what is the answer for this question below
7 (4u – 2v + w)
Answer:
28u-14v+7w
Step-by-step explanation:
Answer: 28u−14v+7w
Step-by-step explanation:
Hope that helps
Compare the rates of change of the following equation and table.
y = 8x
x y
2 22
4 44
6 66
8 88
A.
The rate of change of the table is equal to the rate of change of the equation.
B.
The rate of change of the table is greater than the rate of change of the equation.
C.
The rate of change of the table is less than the rate of change of the equation.
D.
There is not enough information to determine the rates of change.
Pleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeease
Answer:
1. 5
2. 1
3. 2
4. 23
Step-by-step explanation:
If y=6x+5, you can plug in the known x or y value to get the other with this function. For the first row, y=6(0)+5=5. For the second row, 11=6x+5, and that x=1. For the third row, x is 2, and for the fourth row y is 23. Hope this helps!
Write a real-world problem that could be solved with the inequality 23m + 4 > 96 Solve the problem with work shown. Write a sentence that explains the solution using the context from the real-world problem.
Answer:
The given inequality is
[tex]23m + 4 > 96[/tex]
Where [tex]m[/tex] represents minutes.
A problem that can be modeled by this inequality is:
Lucy earn $23 per minute, with an extra $4 due to punctuality, which must give more than $96 a day so she can make a living with that job. How many minutes does she need to work?
To solve the problem, we just solve the expression for [tex]m[/tex]
[tex]23m +4 > 96\\23m > 96-4\\23m > 92\\m > \frac{92}{23}\\ m > 4[/tex]
Therefore, Lucy needs to work more than 4 minutes in order to make a living with that job.
Round your answer to the nearest hundredth..
B
?
5
2
A
С
Answer: m<B = 66.42
Step-by-step explanation:
Use cosine to find the missing angle.
Cosine = adjacent/hypotenuse
cos x = 2/5
since you know the side lengths and you’re finding the angle, use inverse cosine
cos -1 (2/5) = 66.4218215...
m<B = 66.42
Hey there!
We are looking for an angle. Whenever we want to look for an angle in a right triangle given two sides, we use inverse trigonometric functions. This is basically the inverse operation of the sine, cosine, and tangent. You could use it to undo any of these in an equation. If you said that the sine of x was equal to 1/2, you would do the inverse sine of 1/2 and get that x=30.
In our case, we see that the cosine of our angle is 2/5. How do we know that?
Well, we can remember the trigonometric functions using the mnemonic "soh cah toa"
SOH
Sine= Opposite/Hypotenuse
CAH
Cosine= Adjacent/Hypotenuse
TOA
Tangent= Opposite/Adjacent
If we look at the number values we have, we have 2 (the adjacent side to the angle) and 5 (the hypotenuse). This is adjacent over hypotenuse, which is the cosine. So, the cosine of our angle is 2/5.
Now, we can put this into an equation. I will call the measure of our mystery angle Θ (theta).
cosΘ= 2/5
We want to get the theta by itself to solve the equation. To do this, we have to use the inverse cosine on both sides of the equation to cancel out our cosine and figure out the value of theta. The inverse trig functions can be found on a calculator :)
cos[tex]^-1[/tex]cosΘ=cos[tex]^-1[/tex] 2/5
Θ ≈ 66.42
I hope that this helps! Now you will be able to find any angle given two sides of a right triangle! Have a wonderful day!
there are 8 beech trees 4 oak trees 17 cedar trees and 11 other trees
what present of beech trees are there out of the 40
Answer:
1/5
Step-by-step explanation:
8 beech trees out of 40
8/40 = 1/5
It takes jasmine 7 minutes to run 4 laps around the track. It takes hiro 5 minutes to run 3 laps around the track. If both Friends run 1 Lap , who will finish first.
Answer:
Hiro
Step-by-step explanation:
Answer:
Hiro
Step-by-step explanation:
Hope this helps!
Have a great day! :)
Tara and her parents want to save at least $40,000 for college in 8 years. Which statement describes the most effective savings plan for Tara and her parents to meet their goal?
Answer:
the answer is b
Step-by-step explanation:
Answer:
B on edgen 2020
Step-by-step explanation:
What is the value of x in the equation 8 + 4 = 2(x - 1)?
a
13/2
b
5
c
7
d
11/2
Answer:
Step-by-step explanation:
Henry is standing on a catamaran at an elevation of 10 1010 feet relative to sea level. His friend Thomas is scuba diving at an elevation of − 12 1 2 −12 2 1 minus, 12, start fraction, 1, divided by, 2, end fraction feet relative to sea level. Which friend has greater elevation? Choose 1 answer: Choose 1 answer: (Choice A) A Henry (Choice B) B Thomas Which friend is farther from sea level? Choose 1 answer: Choose 1 answer: (Choice A) A Henry (Choice B) B Thomas
Answer:
A.) Henry
B.) Thomas
Step-by-step explanation:
Given the following :
Henry's elevation = 10feets relative to sea level
Thomas elevation = -12 1/2 that is (-25/2) feet relative to sea level
Person with greater elevation:
Elevation can be described as height, in this case, the sea level used as the reference point. Therefore, a positive distance denotes an elevation above the reference point (which is the sea level). Therefore, Henry has a greater elevation of 10 feet( a distance above 0).
B) Who is farther from sea level:
This can be calculated by comparing the absolute distance between the elevation of both Henry and Thomas relative to the reference point(sea level)
Take reference point as 0
Absolute distances relative to sea level:
Henry's distance | 10 - 0 | = 10
Thomas's distance | -(25/2)- 0 | = 12 1/2
Answer:
A then B
Step-by-step explanation:
A person invests 6500 dollars in a bank. The bank pays 5.5% interest compounded daily. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 9300 dollars?
Answer:
6.5 years
Step-by-step explanation:
Miguel spends $100 on books, five of which are hardcover and the remaining four are paperback. The prices at the bookstore are based on whether the book is hardcover or paperback. It charges $2 less for paperback books than for hardcover books. What is the price for hardcover books?
Answer:
$10
Step-by-step explanation:
The hardcover books are $12 each which would be $60 out of the $100. There are four more paperbacks meaning they would be $10 each and cost $40 total.
I hope this helped!!! :)
The price of hardcover book is $12.Identity equations and conditional equations are the two types of equations. All possible values of the variables result in an identity.
What is Mathematical Equation?Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. An equation is created by joining two expressions with the equals sign ("=").
An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.as in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. In this article, let's learn more about math equations.
Given ,
We suggest a set of equations for this situation:
Let a be the variable for the price of hardback books.
B: Make the variable for the price of paperback books.
The statement information we have indicates:
[tex]5a+4b=100[/tex]
[tex]b=a-b[/tex]
Adding the second equation to the first one results in:
[tex]5a+4(a-2)= 100\\5a+4 a- 8= 100\\9a =100+8\\9 a=108\\a=108/9\\a=12[/tex]
Consequently, hardcover books are $12.
To learn more about mathematical equation refer to:
https://brainly.com/question/25976025
#SPJ2
Can you please help me with this question please i will give you. a Brainiest
Answer:
q < 5
Step-by-step explanation:
2. Sumara Kato's savings account has a balance of $1663. After 19 years, how much interest
will she have eamed if her rate is 5.5% compounded annually?
Answer:
Step-by-step explanation:
interest = Amount - principal
A = P(1+r)^t
r = 5.5% = 5.5/100 = 0.055
A = 1663(1+ 0.055)^19
A = 1663 (1.055)^19
A = 4,599.270812203411
Let’s say A = 4,599
interest = 4,599-1663 = 2,936
Write a linear equation for the line with slope = - 1/4 going through the point: (0, 0)
please hurry i need this by 2:00pm
The equation of a line is written as y =Mx + b, where m is the slope and b is the y intercept, which is the y value when x = 0.
You are told the slope is -1/4, so replace m with -1/4. You are also given the point (0,0) which means when x is 0, y is also 0, so replace b with 0.
The equation becomes y= -1/4x + 0
Because y is 0 you aren’t adding anything to the equation so you can remove it from the equation.
Answer is y = -1/4x
In the right triangle shown, DF=EF=3DF=EF=3D, F, equals, E, F, equals, 3.
How long is DEDED, E?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
3\sqrt{2}3
2
3, square root of, 2, end square root
(Choice B)
B
3\sqrt 33
3
3, square root of, 3, end square root
(Choice C)
C
666
(Choice D)
D
6\sqrt 26
2
6, square root of, 2, end square root
(Choice E)
E
999
Report a problem
Do 5 problems
Answer: A or 3 sqrt 2
Step-by-step explanation:
Answer:
3 sqrt 2
Step-by-step explanation:
The formula for height, in feet of a projectile under the influence of gravity is given by h=-16t^2+vt+s, where t is the time in seconds, v is the upward velocity at the start, and s is the starting height. Marvin throws a baseball straight up into the air at 70 feet per second. The ball leaves his hand at a height of 5 feet. When does the ball reach a height of 75 feet?
Answer:
1.55s
Step-by-step explanation:
The height equation of the projectile is given as;
h = -16t^2 + vt + s .......1
where;
t is the time in seconds,
v is the upward velocity at the start,
s is the starting height.
Given;
v = 70 ft/s
s = 5 ft
Substituting the values equation 1 becomes;
h = -16t^2 + 70t + 5
For the ball to reach 75 ft, h = 0
75 = -16t^2 + 70t + 5
-16t^2 + 70t + 5 - 75 = 0
-16t^2 + 70t - 70 = 0
solving the quadratic equation;
Time t = 2.83 s and t = 1.55s
Therefore, the ball will first reach 75 ft after 1.55 seconds.
A dvd movie originally cost $24.99. It’s current price is $19.99. What is the percent of change rounded to the nearest percent?
Answer:
I think it would be 20%.
Step-by-step explanation:
$5 was taken off the original price, which is about 1/5 of $24.99. So, since 1/5 as a percent is 20%, I think the answer would be 20%.
Determine if Ginny factored correctly. If not, explain
where she made an error.
Answer:
The answer is A
Step-by-step explanation:
Write an expression that
represents
the sum of r and 7.
Answer:
r + 7
Step-by-step explanation:
Sum means addition, so in this particular expression something is being added, and the two numbers given are r and 7. Therefore, the expression is r + 7.
Help with this question please!!
Answer:
Width = 160
Length = 110
Step-by-step explanation:
Perimeter is the sum of all the sides
They tell you that the length is 50 m shorter than the width
so L = W - 50
W = W
540 = W + W + W-50 + W-50
540 = 2W + 2(W-50)
540 = 2W + 2W - 100
540 = 4W - 100
640 = 4W
W = 160
L = 160 - 50
L = 110
Answer:
Length: 110 m
Width: 160 m
Step-by-step explanation:
The formula for perimeter of a rectangle is P = 2L + 2W.
We can write the length in terms of width if width is w:
Length: w - 50
Width: w
Plug the values into the formula.
540 = 2(w - 50) + 2w
540 = 2w - 100 + 2w
540 = 4w - 100
640 = 4w
w = 160
find length by subtracting 50 from the width
160-50=110
Therefore, the length is 110 and the width is 160.
Solve the system of equations by the substitution method.
y=5x+6
y=9x+7
Answer:
When finding the value of x let y be 0 and when finding value of y let x be 0 and get your answers.
The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an any quality for the temperature during the winter day. What constant should Digby use in the inequality?
Answer:
8
Step-by-step explanation:
y < mx+c
here y will be the temperature on any particular winter day, x will be the variable on whixh temperature is dependent and m will be the gradient.
The temperature must always be less than 8 so c will be 8.
y < 8
8 should be the maximum value of the inequaltiy
Answer:
your anwser is 8
Step-by-step explanation:
Helpp plsss!!!! I've to submit ASAP
Unit 5. 9) Please help. A soda can holds approximately 25.5 cubic inches of soda and is 4.8 inches tall. What is the approximate area of its base?
Answer:
5.3125 in^2
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = Bh
Where B is the area of the base
25.5 = 4.8 B
Divide each side by 4.8
25.5/4.8 = B
5.3125 = B
Graph the function.
h(x) = -1/5x^2+2x
Answer:
Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated
Step-by-step explanation:
100 POINTS!!!!!! the following stem and leaf plot shows the number of hours that mrs. dixon's students spent on their pre calc work last week. what is the mean absolute deviation for the data
Answer:
11.2467
Step-by-step explanation:
First we need to find the mean
Add up all the data and divide by number of points)
(6+7+8+10+12+13+14+17+17+17+18+19+21+23+24+24+25+27+31+31+32+36+36+39+41+45+45+46+49+50)/30
261/10
26.1
Then to find the mean absolute deviation take each value and find the absolute value from the mean and sum it and then divide by the number of points
((26.1 -6)+(26.1-7)+(26.1-8)+(26.1-10)+(26.1-12)+(26.1-13)+(26.1-14)+(26.1-17)+(26.1-17)+(26.1-17)+(26.1-18)+(26.1-19)+(26.1-21)+(26.1-23)+(26.1-24)+(26.1-24)+(26.1-25)+(27-26.1)+(31-26.1)+(31-26.1)+(32-26.1)+(36-26.1)+(36-26.1)+(39-26.1)+(41-26.1)+(45-26.1)+(45-26.1)+(46-26.1)+(49-26.1)+(50-26.1))/30
11.2467
Answer:
11 16/75
Step-by-step explanation:
Find the mean: sum/n
783/30
26.1
Find individual |x - 26.1| and add them:
|6-26.1| + |7-26.1| + ...... + |50-26.1|
= 20.1 + 19.1 + .... + 23.9
= 336.4
M.A.D = 336.4/30
11 16/75
Find the area of the shape shown below
