find locus of a point which moves so that
it's distance from the point (2,1) is double its distance from (1,2)
Answers
Answer:
hi,
Step-by-step explanation:
Let say P=(x,y) a point of the locus
[tex]Distance\ from\ P\ to\ (2,1)= \sqrt{(x-2)^2+(y-1)^2} \\Distance\ from\ P\ to\ (1,2)= \sqrt{(x-1)^2+(y-2)^2} \\\\\sqrt{(x-2)^2+(y-1)^2} =2*\sqrt{(x-1)^2+(y-2)^2} \\\\(x-2)^2+(y-1)^2=4*((x-1)^2+(y-2)^2)\\\\3x^2-4x+3y^2-14y+15=0\\\\[/tex]
[tex]3x^2-4x+3y^2-14y+15=0\\3(x^2-2*\dfrac{2}{3} x)+3(y^2-2*\dfrac{7}{3}*y) +15=0\\3(x^2-2*\dfrac{2}{3}*x+\dfrac{4}{9})+3(y^2-2*\dfrac{7}{3}*y+\dfrac{49}{9} ) +15-\dfrac{4}{3}-\dfrac{49}{3}=0\\\\3(x-\dfrac{2}{3})^2+3(y-\dfrac{7}{3})^2-\dfrac{8}{3}=0\\\\\\\boxed{(x-\dfrac{2}{3})^2+(y-\dfrac{7}{3})^2=\dfrac{8}{9}}\\\\[/tex]
Locus is the circle of center (2/3,7/3) and radius =2√2 /3.
Related Questions
can someone help me plz
Answers
Answer:
The length is from -5 to +7, so the length answer is 12, The midpoint would be that divided by 2, so six.
Step-by-step explanation:
Answer:
Length = 12
Midpoint = 1
Step-by-step explanation:
to find the length u cancount from left to right of the segment and u can see that it is 12 units long. To find the mid point just take half of the the length, which is 6, and count that many units from either side of the segment. you'll stop at 1 do that is the mid point of the graph.
Which numbers are a distance of 3.5 units from −4 on a number line?
A number line with increments of .5 with a range of 0 to negative 7.5
Select the two correct answers.
−7
−7.5
−6.5
−4.5
−3.5
−0.5
(help)
Answers
-4 - 3.5 = -7.5
-4 + 3.5 = -0.5
Can someone give me the answer.
Answers
Answer:
1 inch
Step-by-step explanation:
Basically cause both b and c tend to form an equidistant triangle which makes them have the same distance
-5.025, -square root of 25, -5 1/2, -11/2 least you greatest
Answers
answer =-51/2,-11/2,-5.025,-✓25
-✓25=-5
-11/2=-5.5
-51/2=-25.5
-5.025
help help help help help
Answers
Answer:
the answer is c
Step-by-step explanation:
x - 7, y + 6
- 1 - 7, 4 + 6
- 8, 10
(a+b+c)^2 - a^2+b^2..................
Answers
Answer:
[tex]2b^2 + c^2 + 2ab + 2ac + 2bc[/tex]
Step-by-step explanation:
Whenever you have a parentheses to a power of a number you have to make it the parentheses times itself, so (a+b+c)^2 becomes (a+b+c)(a+b+c), where you then multiply a by a, a by b, a by c, b by a, b by b, b by c, and so on and then add all those numbers up. If you do that you would get a^2 + ab + ac + ab + b^2 + bc + ac + bc + c^2, where you then add them up to get a^2 + b^2 + c^2 + 2ab + 2ac + 2bc. Since you have - a^2 after this, you cancel out the a^2, and finally, you have + b^2 so you add b^2 to it and you get a final answer of 2b^2 + c^2 + 2ab + 2ac + 2bc.
A tire sale advertised 20% off on top-grade belted tires. If the list price for a particular tire is $80, how much would you have to pay for a set of 4 new tires?
(A) $320
(B) $64
(C) $78.40
(D) $256
(E) $309.60
Answers
Answer:
D. 256
80 times 4
320 times .20
320-64
80 Times 4
320 Times 20
The answer is $64
Two numbers are said to be -------- If they do not have common factor other than 1.
Answers
When two numbers have no common factors other than 1. In other words there is no value that you could divide them both by exactly (without any remainder). Relatively Prime is also called "coprime" or "mutually prime".
I think this help you Now thank you
The answer is Co-prime
Hope It Help
Compare negative square root of 7 and -3.12345
Answers
Answer: Square root of negative 7 is greater than -3.12345
Step-by-step explanation: Since the square root of -7= 2.64575131 i (A positive number) Then it's greater, since the positive number is always greater than the negative numbers, because the negative numbers are further below zero than the positive number, if there is a number below the zero and a number above the zero, the one above the zero is greater, because it's a positive number, the one below 0 is negative.
Help me plessss!!
Brainliest to the best answer
If you can with procedimento that i understand how to do that
Answers
Answer:
[tex] \frac{r}{2} + ( \frac{7}{8} - s) \\ r = 1 \\ s = \frac{1}{2} \\ then \\ \frac{1}{2} + ( \frac{7}{8} - \frac{1}{2} ) \\ = \frac{1}{2} + \frac{3}{8} \\ = \frac{7}{8} \\ thank \: you[/tex]
3.
Find the number of real number solutions for the equation. x2 – 3x + 8 = 0
A. cannot be determined
B. 1
C. 2
D. 0
Answers
One
Is it 2x-3x+8=0,right?
Answer:
D. 0
Step-by-step explanation:
the answer to the equation is 0
3.
Find the number of real number solutions for the equation. x2 – 3x + 8 = 0
cannot be determined
1
2
0
0.582 times 10 what is value of the 2
Answers
Answer:
5.82
Step-by-step explanation:
0.582 x 10
=> Shift the decimal place by 1
=> 5.82
The required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.
To determine the value of 2 in the product of 0.582 times 10.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
According to the question,
Product = 10 * 0.582
Product = 5.82,
Where 2 is located at the thousandth place,
So, the value of 2 in 5.82 is 0.01 times of 2.
Thus, the required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
I’m struggling.help please.
Answers
Answer:
21,23,25,27,29... and etc
Step-by-step explanation:
13,15,17,19, your going by 2, so.. 21,23,25,27,29. and counties. I don't know how long it goes but there you go hopefully this helps <3.
Answer:
2n + 11
Step-by-step explanation:
2(1) + 11 = 13
2(2) + 11 = 15
2(3) + 11 = 17
the 2 is the constant difference between the first 2 terms.
the numbers in brackets are the term number.
you have to multiply the difference with the term number.
then you will have to take that answer and subtract it from the first term number.
hope it helps xxx
X+3(3x-7)-2.9=5.2 need help ASAP
Answers
Answer:
X+3(3x-7)=5.2+2.9
x+9x-21=8.1
10x=8.1+21
10x=29.1
x=2.91
Determine the amplitude of the function y=2 cos x from the graph shown below:
A. 1
B. 2
C. 3
D. 4
Answers
Answer:
B
Step-by-step explanation:
[tex] \frac{2 - ( - 2)}{2} = 2[/tex]
maximum distance minus the minimum distance then divide everything by 2
:)
Step by step please (variable expression)
Answers
Answer:
139
Step-by-step explanation:
Substitute x for 15.
9(15)+4
Then multiply:
135+4
And then add:
139
simplify [(x-4)/(x-4)2]
Answers
x-4 and x-4 gets canceled
Then later, we are left with 1 in the numerator and 2 in the denominator.
Hence the answer is,
1/2 OR 0.5
can someone help me with this please
Answers
Which graph represents a line with a slope of -1/2 and a y-intercept equal to that of the line y =2/3x – 2?
Answers
Step-by-step explanation:
I guess option 4 is the correct answer.
please help ill mark brainliest
Answers
Answer:
AED = 136
Step-by-step explanation:
plz mark me as a brainlist
Please help me with this question:)
Answers
Answer:
Ada is correct.
Step-by-step explanation:
Problems with Naman:
Naman is supposed to follow PEMDAS, which is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Division
Addition
Subtraction
~
The mistake: Naman moved +6 to the left and added it to the 2 located on the left side of the expression. You cannot do that, as it breaks the law of PEMDAS. On the other hand, Ada did the correct thing, which was to distribute 2 to all terms within the parenthesis (as one term in the parenthesis has a variable, and the other is a constant, meaning that they cannot be combined). This leads to Naman not doing the rest of the question correct.
Next, Ada correctly combined the two constants, which resulted in 0. 0 means nothing, therefore the placeholder is not needed. Therefore, 8x is the final answer.
Find the sum: -7.5 + (-7.6)
Help me pls someone!!
Answers
Answer:
-15.1
Step-by-step explanation:
Two negative numbers add the same way as positive numbers, so it is -(7.5 + 7.6) or -15.1.
What is the value of X?
Answers
Answer:
5 * sqrt(3)
Step-by-step explanation:
The sine of 60 degrees is equal to x/10 because x is opposite to it and 10 is the hypotenuse. Since the sine of 60 degrees is equal to sqrt(3)/2, sqrt(3)/2 = x/10. Because 5sqrt(3)/10 = sqrt(3)/2, 5sqrt(3)/10 = x/10 and therefore 5sqrt(3) = x.
In the diagram below BD is parellel to XY what is the value of y ?
Answers
Answer:
C
Step-by-step explanation:
y and 67 are alternate exterior angles and are congruent , then
y = 67° → C
Why is it helpful to use a problem-solving plan to solve problems?
Answers
Answer:
its helpful to plan out what youre going to do before you do it, as it can get confusing and you may get lost in the process if you dive right into it
Triangle ABC is similar to triangle PQR, as shown below:
Two similar triangles ABC and PQR are shown. Triangle ABC has sides AB equals c, BC equals a, and AC equals b. Triangle PQR has sides PQ equals r, QR equals p, and PR equals q. Angle CAB is congruent to angle RPQ. Angle ABC is congruent to angle RQP. Angle ACB is congruent to angle QRP.
Which equation is correct?
q over c is equal to r over b
c over p is equal to b over a
c over a is equal to q over r
q over b is equal to r over c
Answers
Answer:
q/b = r/c
Step-by-step explanation:
We can determine which equation is correct by looking at the similar angles
A ~ P and B ~ Q so the side length that is between these angles would be proportional which are :
r/c
Next up
C ~ R and again B ~ Q and the side length that is between these angles:
q/b
so the answer is
q/b = r/c as given in last option
Answer: a/b=r/c
Step-by-step explanation: i did the
16 The cost for parking at a city airport is shown in the table.
Price for first day
$16.60
For every
2
day afterwards
$9
Yuri pays $124.60 to park his car.
How many days does he park his car for?
Show your working.
Answers
Answer:
He paid $9 twelve times
12× 2= 24 days
Step-by-step explanation:
1st day = $16.60
3rd day=$ 9 (i.e for every 2days afterwards)
5th day=$ 9
Yuri pays : 124.60
124.60-16.60
= $108.00
After paying the first day he paid 108.00
108.00÷ 9 = 12
He paid $9 twelve times
12× 2= 24 days
What is the total number of common tangents that can be drawn to the circles?
A. 1
B. 0
C. 2
D. 3
Answers
Answer:
B. 0
Step-by-step explanation:
The circles do not intersect, tangents require intersection
Answer:
B.) 0
Step-by-step explanation:
I got it correct on founders edtell
To shape service similar create and solve a proportion to find the value of X then find the measure of the unknown side
Answers
Answer:
x = 10
6x - 6 = 54
Step-by-step explanation:
The hypotenuse of both triangles are 63 and 6x - 6; the second longest sides are 49 (greater than 35) and 42 (greater than 30).
So our proportion:
63/(6x-6) = 49/42
Cross multiply
63*42 = 49*(6x-6)
2646 = 294x-294
2940 = 294x
x = 10
Double-check:
63/(6*10 - 6) = 49/42
63/(60 - 6) = 49/42
63/54 = 49/42
7/6 = 7/6
6x - 6 = 6(10) - 6 = 60 - 6 = 54
express rational number in standard form: -216/144
Answers
Answer:
[tex] \frac{ - 3}{2} [/tex]Step-by-step explanation:
[tex] \frac{ - 216}{144} \\ \\ = \frac{ - 3}{2} [/tex]
Hope it is helpful....