Answer:
center (-13,2) radius=9
Step-by-step explanation:
(x+13)^2+(y+2)^2=81
x=-13
y=-2
r=sq rt of 81
The center and radius of this circle [tex](x+13)^{2} +(y+2)^{2} = 81[/tex] is (h, k) = (-13, -2) and r = 9.
What is a circle and equation of the circle?A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.
The equation of a circle in standard form,
[tex](x-h)^{2} +(y-k)^{2} = r^{2}[/tex]
Given equation of circle
[tex](x+13)^{2} +(y+2)^{2} = 81[/tex]..................(1)
By comparing the standard form of circle with equation 1, we get
(h, k) = (-13, -2) and
[tex]r^{2} = 81[/tex]
⇒ [tex]r = \sqrt{81}[/tex]
⇒ r = 9
Hence, the center and radius of this circle [tex](x+13)^{2} +(y+2)^{2} = 81[/tex] is (h, k) = (-13, -2) and r = 9.
Find out more information about standard equation of circle here
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Old MacDonald had a farm. On this farm he had some cows and chickens. When he “took stock” (counted), the farmer had 15 animals and 44 legs. How many cows and chickens did Old MacDonald have?
Answer:
7 Cows and 8 Chickens
Step-by-step explanation:
Note that cows have four legs each and chickens have two legs each.
if there were only cows, then 15 cows times 4 legs for each cow would give 15 x 4 = 60 legs. 60 is greater than 44, so some (maybe all) of the animals are chickens.
If there were only chickens, then 15 chickens times 2 legs for each chicken would give 15 x 2 = 30 legs. 30 is less than 44, so we have confirmed that there is a mixture of both cows and chickens on the farm.
One approach would be to build a table of possibilities:
Total legs will equal number of cows times 4 plus number or chickens times 2 and we know the total number of animals is 15, so we keep cows plus chickens equal to 15 and just keep adding a cow and subtracting a chicken and do the math until.we get 44 legs. We know that it will take less than 13 tries, since we already ruled out 15 cows or 15 chickens. We'll start with 1 cow and 14 chickens and go from there
1 Cow + 14 Chickens = (1 x 4) + (14 x 2) = 4 + 28 = 32 legs
2 Cows + 13 Chickens = (2 x 4) + (13 x 2) = 8 + 26 = 34 legs
3 Cows + 12 Chickens = (3 x 4) + (12 x 2) = 12 + 24 = 36 legs
4 Cows + 11 Chickens = (4 x 4) + (11 x 2) = 16 + 22 = 38 legs
5 Cows + 10 Chickens = (5 x 4) + (10 x 2) = 20 + 20 = 40 legs
6 Cows + 9 Chickens = (6 x 4) + (9 x 2) = 24 + 18 = 42 legs
7 Cows + 8 Chickens = (7 x 4) + (8 x 2) = 28 + 16 = 44 legs
We can stop here because we can see that 7 Cows and 8 Chickens have a total of 44 legs.
Another way to approach this is to use algebra and to make is shorter to write we can assign a variable to each item and relate them in some way.
Let's use the letter x to stand for cows and the letter y to stand for chickens so we don't have to keep writing chickens and cows. x and y are just common letters to use, by the way, could use w and k perhaps since cow has a w and chicken has a k...sadly they both start with c, so we can't use that for both.
We know a couple different, but related, things.
One thing we know is that the total number of animals is 15. We can write that as:
x + y = 15
That means cows (x) plus chickens (y) equals 15.
A second thing we know is that the total number of legs is 44. We can write that as
4x + 2y = 44
That means 4 times x (cow) plus 2 times y (chicken) is equal to 44 since each cow has 4 legs and each chicken has 2 legs.
Since we now have two related equations and two variables we can solve for the variables.
If we take the first equation and rearrange it, by subtracting x from both sides, we can see that one way to do it is the following
y = 15 - x
That means the number of chickens (y) is equal to 15 minus the number of cows (x). As long as we do the same thing on both sides of the equals sign the equation is still.equal...you will see this again below.
Now we can then substitute 15 - x for y in the second equation and then all we have is x in that equation. (We can do this because y is equal to 15 minus x...they both have the same value and mean the same thing...they are equal to each other)
4x + 2(15 - x) = 44
As you can see, we now have 2 times 15 minus x where we had 2 times y before. If we multiply the 2 through we get because 2 times 15 is 30 and 2 times x is 2x
4x + 30 - 2x = 44
We can subtract the 2x from 4x and we get
2x + 30 = 44
Now we can subtract 30 from both sides of the equation because as long as we do the same thing on both sides of the equals sign the equality holds true
2x + 30 - 30 = 44 - 30
30 minus 30 is zero and 44 minus 30 is 14 so now we have
2x = 14
If we divide both sides by two, we still maintain the equality and we get x on one side as 2x divided by 2 is 1x or just x and we get 7 on the other side as 14 divided by 2 is 7
x = 7
That means we have 7 Cows as x represents cows, so half the problem solved
If we now go back to our first equation,
x + y = 15
We can replace x with 7 and get
7 + y = 15
We can subtract 7 from both sides and maintain the equality and isolate y
7 - 7 + y = 15 - 7
Again, 7 minus 7 is zero so we have isolated y and 15 minus 7 is 8
y = 8
This means we have 8 Chickens since y represents chickens
Once again we have shown that Old MacDonald has 7 Cows and 8 Chickens
URGENT!!!!!! PLEASE ANSWER !!!!!!
7) Grace earns $18 per hour working as a math tutor. Write and solve an
inequality that can be used to find how many hours she must work in a week to
earn at least $378.
_6)
Answer:
The equation is 18h=378
h=21
Step-by-step explanation:
So first you have to set up the equation
so if she makes 18 dollars an hour the first part of the equation would be 18h
She made 378 dollars in one week so now the equation is 18h=378
The answer is h=21 because 378/18 is 21
Find the value of. X in the proportion 5/9=x/36
Answer:
x=20 hope this helps :)
The value of X is 20.
To find this answer, you must first find the least common denominator of both fractions. In this case, the LCD is 36.
Next, you multiply the left side by 4/4. The fraction 4/4 is simply found by dividing the right side denominator (36) by the left side denominator (9). 9 goes into 36 4 times.
5/9 * 4/4 = 20/36.
Thus meaning X = 20. I hope this helps!
SOMEONE PLEASE HELP ME PLEASE SOMEONE PLEASE HELP ME WITH MY HOMEWORK ILL DO ANYTHING FOR HELP
Answer:
The answer is 8
Step-by-step explanation:
If this answer helped you then please consider marking this as brainliest and like this respone :)
1. Find the slope of the line using the points (10, 4) and (20, 0).
Answer:
10/-4 or 5/-2
Step-by-step explanation:
use y2-y1/x2-x1 equation.
ANSWER THIS PLEASE WILL GIVE BRAINLEST
Answer:
i think it is 11%
Step-by-step explanation:
cause there is 11 of 20
Help ASAPP LIKE PLSSS SO FAST PLS
Answer:
0.44 and 44/100
Step-by-step explanation:
Find the area of the WHITE triangles region in square inches.
6 in
8 in
Answer:
6 in is the answer to this question
Round 10,982 to the nearest ten thousand
Answer:
10980
Step-by-step explanation:
10,000
Since the thousand is 0 you keep the ten thousand at 1 and make all other digits 0.
-8x is less than or equal to 32
What is the inequalities that are possible.
Answer:
We conclude that:
[tex]-8x\le \:32\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}[/tex]
The solution graph on the number line is also attached.
Step-by-step explanation:
Given the inequality
[tex]-8x\:\le 32[/tex]
Solving the inequality
[tex]-8x\:\le 32[/tex]
Multiply both sides by -1 (reverse the inequality)
[tex]\left(-8x\right)\left(-1\right)\ge \:32\left(-1\right)[/tex]
Simplify
[tex]8x\ge \:-32[/tex]
Divide both sides by 8
[tex]\frac{8x}{8}\ge \frac{-32}{8}[/tex]
Simplify
[tex]x\ge \:-4[/tex]
Therefore, we conclude that:
[tex]-8x\le \:32\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}[/tex]
The solution graph on the number line is also attached.
The attachment im confused?
Answer:
? confused
Step-by-step explanation:
Answer:
Me too
Step-by-step explanation:
What is y when x =17
Answer:
The answer is 30
Answer:
y = 30
Step-by-step explanation:
There are 2 ways to find the answer to this.
#1
The relationship between x and y is y = x+13.
x is 17 so 17+13 would equal y.
17+13 = 30
y = 30
#2
rule for y: y increases by 4
26+4 = ?
26+4 = 30
y = 30
PLS PLS PLS HELP!!! I'LL MARK BRAINLIEST!!!
Answer:
Its B
Step-by-step explanation:
1
2
(x − 106) = 12 + 7x
Answer:
X=−10
Step-by-step explanation:
i hope this helps you ^_^
have a nice day/night
Equation/Question:
1/2(x-106)=12+7x
Answer/Steps to answer: (x= -10)
1. Simplify 1/2(x-106) to x-106/2.
x-106/2=12 + 7x
2. Multiply both sides by 2.
x−106=24+14x
3. Subtract x from both sides.
−106=24+14x−x
4. Simplify 24+14x-x to 24+13x.
-106=24+13x
5. Subtract 24 from both sides.
-106-24=13x
6. Simplify -106-24 to −130.
-130=13x
7. Divide both sides by 13.
130/13=x
8. Simplify 130/13 to 1010.
-10=x
9. Switch sides.
x=-10
-------------
Checking:
1/2(x−106)=12+7x
1. Let x=-10x=−10.1
1/2(−10−106)=12+7×−10
2. Simplify -10-106 to −116.
1/2×−116=12+7×−10
3. Move the negative sign to the left.
-116/2=12+7×−10
4. Simplify 116/2 to 58
−58=12+7×−10
5. Simplify 7×−10 to −70.
−58=12−70
6. Simplify 12-70 to −58.
−58=−58
Done by NeighborhoodDealer
How would this triangle be classified?
Answer:
Isosceles acute
Step-by-step explanation:
2 of the sides are the same and 1 is different therefore it is isosceles. Alol the angles are acute.
6. Write an equation for a line that passes through (6, 12) and (10, 20).
Answer:
Step-by-step explanation:
Y = mx +b / Slope intercept form
mx - y = -b / Standard form
6m -2 = -b / Plug in ( 6,2)
-9m -10 = -b / Plug in ( -9, 10)
Solve the system of equation for m and b.
6m -2 = -9m -10 , then 15m = -8 m = -8/15
b = -6m +2 ,then b= -6 ( -8/ 15) +2 = 78/15
-8/15 X - y = - 78/15
8X +15y = 78 / Equation of in standard form
Note: This is a different methods of solving this problem. All methods find their roots coming from the basic premises.
Equation of a line in the slope intersect form is
Y = mx +b
To convert to standard form of ax + by =c
Simply move over the parameters
mx - y = -b where a = m , and c = -b
Then we feed coordinates of 2 points in there
make a 2 equation with 2 unknown( m,b) to
solve.
Blake is going to invest in an account paying an interest rate of 3% compounded annually. How much would Blake need to invest, to the nearest ten dollars, for the value of the account to reach $83,000 in 16 years?
Answer:
51720
Step-by-step explanation:
Solve y = x + 6 for X.
x= y + 6
x= -y + 6
x = y - 6
x= -y - 6
Answer:
x=y-6
Step-by-step explanation:
First, flip the equation.
x+6=y
Finally, add -6 to both sides.
x+6+−6=y+−6
x=y−6
Direction: Solve the given problems.
6. Two numbers are in the ratio of 2:3 If the bigger number is 6. what is the smallest one
_7. What number compared with 6 is the same as 36 compared to 6?
8. There are 24 red roses for every 6 roses. How many red roses are there if there
are 8 roses?
9.There are 7 children for every 2 adults in a plaza. How many adults are there,
if there are 21 children?
10.1f 12 pencils are bought for P60, how much will you pay for 25 pencils
Ratio of two numbers = 2:3
The larger number = 6
Let the smaller number be x.
Which means :
[tex] =\tt 2 : 3 \: = \: x : 6[/tex]
[tex] = \tt \frac{2}{3} = \frac{x}{6} [/tex]
[tex] =\tt 2 \times 6 = 3 \times x[/tex]
[tex] =\tt 12 = 3x[/tex]
[tex] =\tt x = \frac{12}{3} [/tex]
[tex]\hookrightarrow\color{plum}\tt \: x = 4[/tex]
▪︎Therefore, the smaller number = 4
○=> Solution (7) :36 compared to 6 = [tex] \tt \frac{36}{6} [/tex]
Let the number be x.
Which means :
[tex] = \tt \frac{36}{6} = \frac{x}{3} [/tex]
[tex] =\tt \frac{36 \div 2}{6 \div 2} = \frac{x}{3} [/tex]
[tex] =\tt \frac{36}{6} = \frac{18}{3} [/tex]
▪︎Therefore, the fractional number [tex] \tt \frac{18}{3} [/tex] is equal to [tex] \tt \frac{36}{6} [/tex].
○=> Solution (8) :Number of Rose's for 24 red Rose's = 6
This can be written in a ratio as 24:6
Number of roses = 8
Let the number of red roses for these roses be x.
Which means :
[tex] =\tt \frac{24}{6} = \frac{x}{8} [/tex]
[tex] =\tt 24 \times 8 = 6 \times x[/tex]
[tex] =\tt 192 = 6x[/tex]
[tex] =\tt x = \frac{192}{6} [/tex]
[tex]\hookrightarrow \color{plum}\tt x = 32[/tex]
▪︎Therefore, 32 red roses are there if there are 8 roses.
○=> Solution (9) :Number of children for 2 adults = 7
This can be written in a ratio as 7:2
Number of children in the plaza = 21
Let the number of adults be x.
Which means :
[tex] = \tt \frac{7}{2} = \frac{21}{x} [/tex]
[tex] =\tt7 \times x = 2 \times 21 [/tex]
[tex] =\tt 7x = 42[/tex]
[tex] =\tt x = \frac{42}{7} [/tex]
[tex] \hookrightarrow \color{plum}\tt \: x = 6[/tex]
▪︎Therefore, 6 adults were there in the plaza.
○=> Solution (10) :Cost of 12 pencils = P60
Cost of 1 pencil :
[tex] = \tt \frac{60}{12} [/tex]
[tex] =\tt P5[/tex]
Thus, the cost of one pencil = P5
Cost of 25 pencils :
= Cost of one pencil × 25
[tex] =\tt 5 \times 25[/tex]
[tex] \color{plum}=\tt \: P \: 125[/tex]
▪︎Therefore, the cost of 25 pencils = P125
Which of the following describes the transformation of p(x)=x3 to the function q(x)=−(x−6)3−4 ?
A.)p is reflected over the y-axis and then tranlated 6 units right and 4 units up.
B.)p is reflected over the x-axis and then translated 6 units left and 4 units up
C.)p is reflected over the y-axis and then translated 6 units left and 4 units down.
D.)p is reflected over the x-axis and then translated 6 units right and 4 units down.
Answer:
A
Step-by-step explanation:
(X) =x3 to the function q(x-6)3-4
A temperature probe registers a temperature
of -124° C. If the probe's temperature increases
by 8 °C per hour, after how many hours will it
be at a temperature of 4°C?
Answer:
16 hours
Step-by-step explanation:
Given
[tex]Initial = -124[/tex]
[tex]Rate = 8[/tex] per hour
Required
Determine the number of hours it gets to 4 degrees
Let the temperature at every hour, h be T.
So, we have:
[tex]T = Initial + Rate * h[/tex]
[tex]T = -124+ 8* h[/tex]
[tex]T = -124+ 8h[/tex]
To calculate the time it gets to 4 degrees. We first substitute 4 for T; then solve for h
[tex]4 = -124+ 8h[/tex]
Collect Like Terms
[tex]8h = 4 + 124[/tex]
[tex]8h = 128[/tex]
Solve for h
[tex]h = \frac{128}{8}[/tex]
[tex]h = 16[/tex]
I WILL GIVE BRAINLIEST PLS PLS PLS HELP ITS DUE TOMORROW PLS DO ALL FOR BRAINLIEST
Answer: Sorry but I don't know which one to do and can you move it too the left a little bit so I may see the whole sentence?
Step-by-step explanation:
Kira has $40 to spend and used $20 to buy a new pair of jeans. Which integer best represents the situation of spending $20
Answer:
20 because 40 is a positive and spent is negative
Step-by-step explanation:
Rolando is 13. In five years, his age will be 3/2 the age of his sister Marisa. How old will Marisa be in three years.
The data gives the values of the 29 teams in the National Basketball Association, along with their operating incomes and revenues. Plots and correlations show that revenue predicts team value much better than does operating income. The least-squares regression line for predicting value from revenue is as follows: value = -123.298 + 4.242 revenue (a) What is the slope of this line?: 4.242 (b) The HORNETS are the NBA's most valuable team, valued at $547 million, with $147 million in revenue. Use the line to predict the value of the HORNETS from their revenue. What is the error in this prediction?: -123.298 + (4.242 * 147) = 500.276 547 - 500.278 = 46.724 (c) What is the correlation of revenue and value?: r = ?
Answer:
4.242;
$500.276 ; $46.724
Step-by-step explanation:
Given the regression equation :
value = -123.298 + 4.242 revenue
y = - 123.298 + 4.242x
y = team value ; x = Revenue
(a) What is the slope of this line?
From ;
y = mx + c
Where ; m = slope
Comparing the equation with, the model equation ;
mx = 4.242x ; Hence, slope, m = 4.242
(b) The HORNETS are the NBA's most valuable team, valued at $547 million, with $147 million in revenue. Use the line to predict the value of the HORNETS from their revenue.
Predicted value of hornets based on their revenue :
Revenue = $147,000,000
y = - 123.298 + 4.242(147)
y = - 123.298 + 623.574
y = 500.276
Predicted value is about $500.276 million.
What is the error in this prediction?:
Error = Actual - predicted value
Error = 547 - 500.276 = $46.724 million
The five members of the Traynor family each buy train tickets. During the train ride, each family member buys a boxed lunch for $6.50. If the total cost of the trip is $248.50, what is the price of each train ticket?
Answer:
5555555
Step-by-step explanation:
I really dont know
A player hits the ball 30% of the time. If he gets 450 chances what is the total number of times he will hit the ball
Answer:
135
Step-by-step explanation:
100% = 450
1% = 4.5
30% = 4.5 x 30 = 135
The formula to convert degrees Fahrenheit degrees Celsius is C = (F - 32) Which formula can be used to convert degrees Celsius to degrees Fahrenheit?
Answer:
(°C×9/5)+32= 32°F is the answer
Score: 0 of 1 pt
11 of 13 (10 complete)
HW Score: 50%, 6.5 of 13 pts
9.4.45
Question Help
A car rental company charges a daily rate of $25 plus $0.30 per mile for a certain car. Suppose that you rent that car for a day and your bill (before taxes) is $145. How
many miles did you drive?
miles
p
til
fi
t
-
vo
va
(1,1)
More
Enter your answer in the answer box and then click Check Answer
?
Answer:
3335552255442882283222333
The word " _____ " in a word problem probably indicates you may estimate an answer.
Answer:
"in an average of" / "approximately"
Step-by-step explanation:
these clue words do not hold any definite value. therefore, it can be used for estimating.