Given :
Center of circle, C = ( 1 , 5 )
Point on circle, P = ( 5 , 1 )
To Find :
The radius of a circle.
Solution :
We know, radius of circle is the distance between center and point of circle.
Distance between two points A(p,q) and B(r,s) is given by :
[tex]D = \sqrt{(p-r)^2+(q-s)^2}[/tex]
So, distance between the points (1, 5) and (5, 1) is :
[tex]D = \sqrt{(1-5)^2+(5-1)^2}\\\\D = 5.66 \ units[/tex]
Therefore, radius of circle is 5.66 units.
Hence, this is the required solution.
Find the product.
(v - 7su^2) (v + su^2)
Enter the correct answer.
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Reminder :
[tex](x + a)(x + b) = {x}^{2} + (a + b)x + (a \times b) \\ [/tex]
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[tex] {v}^{2} + ( - 7s {u}^{2} + s {u}^{2})v +( ( - 7s {u}^{2})(s {u}^{2} )) = \\ [/tex]
[tex] {v}^{2} - 6s {u}^{2} v - 7 {s}^{2} {u}^{4} \\ [/tex]
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Answer:
v² - 6su²v - 7s²[tex]u^{4}[/tex]
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
= v(v + su²) - 7su²(v + su²) ← distribute both parenthesis
= v² + su²v - 7su²v - 7s²[tex]u^{4}[/tex] ← collect like terms
= v² - 6su²v - 7s²[tex]u^{4}[/tex]
What is the image of (-3,9) after a reflection over the y = x?
Answer:
(9,-3)
Step-by-step explanation:
A tree is 44.55 feet tall. What is its height in meters? Use the following conversion: 1 meter is 3.3 feet
Answer:
13.5 m tall
Step-by-step explanation:
divide 44.55 by 3.3
What is the conjugate of the denominator (5 – V2)?
Answer:
5 + [tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given a ± [tex]\sqrt{b}[/tex] , then the conjugate is
a ∓ [tex]\sqrt{b}[/tex]
Given
5 - [tex]\sqrt{2}[/tex] , then the conjugate is 5 + [tex]\sqrt{2}[/tex]
NEED HELP ASAP!!!! please! 25 points!
Answer: 2-4= -2
Step-by-step explanation: hope it helps
Answer: (0 + 2) + ( 2 - 4)
Step-by-step explanation:
Struggling with this problem need help badly
Answer:
Step-by-step explanation:
Write the product (4 + i)(4 − i) in the form a + bi.
Answer:16- i^2
Step-by-step exp
foil
Answer:
17
Step-by-step explanation:
51×59 evaluate and answer
In a circle, what is the ratio of the circumference to its diameter?
A area
B radius
C volume
D Pi
Answer:
the answer is D
Step-by-step explanation:
What is the decimal equivalent of
7/8
?
A. 0.780
B. 0.870
C. 0.875
D. 0.885
Find the EXACT value of sec (-120 degrees)
Well sec(-120) = 1/cos(-120).
We know that cos(-120) = -1/2.
So, 1/(-1/2) = -2.
This means that sec(-120) = -2.
You spent 1/5 of your birthday money on 2 video games. If each video game cost the same amount, what fraction of your birthday money did each video game cost?
Answer:
1/10Step-by-step explanation:
Let total money be m
Then, the money spent on 2 video games is 1/5m
Each game costs:
1/5m ÷ 2 = 1/10mSo each video game costs 1/10 of birthday money
Answer:
1/10
Step-by-step explanation:
spent 1 on 2 video games
5
= 1/5
2 games
= 1/10 of money spent on each game
Please show work in answer: 20/x^2-4x+7=x+2
Answer:
x = 2
Step-by-step explanation:
!PLEASE ANSWER FAST! !30 POINTS!
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In the 1960s, the average price for an ear of corn was 4.17 cents. In the 1980s, the average price went up to 9.83 cents. How much did the average price go up?
4.97 cents
5.66 cents
7 cents
14 cents
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I'm pretty dumb so I don't know the answer to this :b
so please answer this :(
Answer:
5.66
Step-by-step explanation:
Answer:
im pretty sure you just subtract 4.17 from 9.63 LOL so 5.66 HAHA
Step-by-step explanation:
Which shows the following numbers ordered from greatest to least?
0.5, 5/8, 65%, 3/5
A. 3/5, 5/8, 0.5, 65%
B. 0.5, 3/5, 5/8, 65%
C. 65%, 3/5, 0.5, 5/8
D. 65%, 5/8, 3/5, 0.5
I assume it's D, but I'm not fully sure.
Answer:
D You got it right. 65% 5/8 3/5 0.5
1. It takes 17 minutes
to ride 6 1\4 miles on a
bike. How many miles
can Peter ride in 1 hour?
Answer:
21.6
Step-by-step explanation:
I think
The cost to manufacture calculators is represented by the function (). The correct explanation of the statement (17)=225 is:
225 calculators cost $17
3,825 calculators cost $225
17 calculators cost $13.24
17 calculators cost $225
Answer:
225 Calculators cost $17
Step-by-step explanation:
Since the Function () is Representing the cost, it is logical 17 dollars is the cost, and the 225 is the number of calculators.
Stan has $95. He wants to buy as many movies as he can. All movies are originally
$12.00 and are on sale for 10% off. Tax is 5%
Answer:
Step-by-step explanation:
Each movie is $12.00. 10% off of 12% is 12-1.2 = 10.8
The final amount spent is 5%, that means we can multiply the end amount spend by 1.05
The maximum Stan can spend is $95
[tex](10.8m)*1.05\leq 95\\(10.8m)\leq 90.4762\\m \leq \frac{90.4762}{10.8}\\m\leq 8.3774[/tex]
Now, you can't buy 0.3 of a movie, so the most Stan can buy is 8 movies
(EASY) I WILL MARK THE BRAINLYEST !!!
so, these problems are currently my last two problems. There were two rude people that answered them and didn't actually give me an answer and responded with "no". Can you guys please help me? These are the only two questions giving me problems at the moment. Thank you for taking the time to help me.
1) |5x+5|+22>57
solve for both absolute values
( it would help if you could include how to graph it on a number line as well as the interbal notation )
2) I= prt
solve for I
Answer:
-8>x>6
Step-by-step explanation:
I 5x+5I +22> 57subtract 22 on both sides
I5x+5I >35
SPLIT
5x+5>35 5x+5< -35 ( flip sign and 35 negative)
5x>30 5x< -40
x>6 x< -8
Draw a number line Write zero in the middle
From zero count to the left until- 8 make an open circle because- 8 is not included From -8 draw an arrow to the left (because x is less than -8)
From zero count to the right until 6 Make an open circle bc 6 is not included. From 6 draw an arrow to the right (because x is more than 6)
PART 2 is not already solved?
If you need to solve fot t
Divide both parts by pr
t= (l/ pr)
I’ll give brainliest. Pl help me
Answer:
A student who has many absences has a decrease in grades.
Step-by-step explanation:
evaluate 68 x 71 mentally.
Answer:
4828 = 68 x 71
Step-by-step explanation:
how I looking at it all I did was multiply
Answer:
4828
Step-by-step explanation:
68x71=4828
An artist will use isometric transformations of square LMNO to create a symmetrical design with contrasting colors.
Which statement is true?
If LMNO is reflected over the y-axis, the small center square in the image will have a lesser area.
It LMNO is reflected over the x-axis, the small center square in the image will have the same area.
If LMNO is rotated 180° counterclockwise about point O, the small center square in the image will have a lesser area.
If LMNO is rotated 180° counterclockwise about point O, the small center square in the image will have a greater area.
Answer:
The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.
Step-by-step explanation:
The other answers state that the canter square will change size when reflection doesn't do that. Reflection keeps the size and shape of the object. It only changes the positioning.
I hope this helps. Brainliest would be nice to.
Answer:
The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.
Step-by-step explanation:
At a grand-opening sale, 20% of the first 500 customers won a prize. How many of the first 500 customers won a prize ?
Answer:
100
Step-by-step explanation:
what is affected by acceleration
Answer:
Pretty much everything, my dude
Step-by-step explanation:
May I have brainliest please? :)
so, these problems are currently my last two problems. There were two rude people that answered them and didn't actually give me an answer and responded with "no". Can you guys please help me? These are the only two questions giving me problems at the moment. Thank you for taking the time to help me.
1) |5x+5|+22>57
solve for both absolute values
( it would help if you could include how to graph it on a number line as well as the interbal notation )
2) I= prt
solve for I
Answer:
Step-by-step explanation:
Answer:
k
Step-by-step explanation:
Round -5 1/2 to the nearest whole number
Answer:
dear explain your question briefly
Step-by-step explanation:
We will try to explain you
The round off -5 1/2 to whole number is -6.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Fraction: -5 1/2
Now, converting it to the decimal
= -11/2
= -5.5
now, rounding off to whole -5.5 will lie between -5 and -6.
Hence, the whole number round off for - 1/2 is -6.
Learn more about Fraction here:
https://brainly.com/question/10354322
#SPJ2
A student says that the graph of the equation y = 3(x + 8) is the same as the graph of y = 3x, only translated upwards by 8 units. Do you agree? Why or why not?
A.S.A.P. I HAVE TO TURN THIS IN AT 10:30 HURRY PLEASE :)
Given:
A student says that the graph of the equation [tex]y = 3(x + 8)[/tex] is the same as the graph of [tex]y = 3x[/tex], only translated upwards by 8 units.
To find:
Whether the student is correct or not.
Solution:
Initial equation is
[tex]y=3x[/tex]
[tex]f(x)=3x[/tex]
Equation of after transformation is
[tex]y=3(x+8)[/tex]
[tex]g(x)=3(x+8)[/tex]
Now,
[tex]g(x)=f(x+8)[/tex] ...(i)
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex] ...(ii)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From (i) and (ii), we get
[tex]a=8\text{ and }b=0[/tex]
Therefore, the graph of [tex]y=3x[/tex] translated left by 8 units. Hence, the student is wrong.
M=2 and containing the point (7,6)
Answer:
[tex]the \: equation \: of \: the \: line \: is \to \\ \boxed{ \underline{y = 2x - 8 }}[/tex]
Step-by-step explanation:
[tex]according \: to \: the \: provided \: info : \\ the \: equation \: of \: the \: line \: is \to \\ y - y_{1} = m(x - x_{1}) \\ y - 6 = 2(x -7) \\ y = 2x - 14 + 6 \\ \underline{y = 2x - 8 }[/tex]
A submarine is at a depth of 100 feet below sea level. Then it starts to dive at a rate of 50 feet per minute. What is the slope? I will give brainliest and help you ☻
Answer:
Independent variable: Time in minutes
Dependent variable: The elevation in feet
Slope: -50
Y-Intercept: -100
Step-by-step explanation:
Just did the assignment
Para preparar una limonada usé litro de jugo de limón natural. Además, utilicé litros de agua. ¿Cuántos litros de líquido utilicé para hacer la limonada?
Answer:
Falta la cantidad de litros de agua utilizados para hacer limonada, e.g. si utilizaste 1 litro de jugo de limon y 3 litros de agua, utilizaste 4 litros de liquido en total. Si utilizaste 1 litro de jugo de limon y 5 litros de agua, utilizaste 6 litros de liquido en total.
Para encontrar la solucion al problema todo lo que tienes que hacer es sumar 1 litro de jugo de limon mas la cantidad de litros de agua que hayan sido utilizados. Tanto el jugo de limon como el agua se miden en litros.