3.
Find a relationship between x and y so that (x, y) is equidistant from the two points (3,-1)
and (2,5). Show your work.
Answers
Answer:
The answer is 6.082763
Step-by-step explanation:
We use the Distance formula for this problem.
Related Questions
list out the problem of solution of communication in Nepal
Answers
Answer:
the problem of solution of communication in Nepal are
Step-by-step explanation:
Usage of modern wireless and satellite based networking system keeping a backup networking system for the cases of nature disasterPlease help me ASAP
Answers
Answer:
Step-by-step explanation:
Base 5 uses 0, 1 , 2, 3, 4
When we add 2+ 1 = 3
When we add 4 +3 = 7 = 5 +2 . 5 will be carried as 1
4 + 3= 12
In subtraction, 32 - 4
From 2 we cannot subtract 4. So, borrow 5 from 3. So, 2+5 = 7.
7-4=3
32 -4 = 23
I have attached the sums
(i)Express 2x² – 4x + 1 in the form a(x+ b)² + c and hence state the coordinates of the minimum point, A, on the curve y= 2x² 4x+ 1.
The line x– y + 4 = 0 intersects the curve y= 2x² – 4x + 1 at points P and Q. It is given that the coordinates of Pare (3,7).
(ii)Find the coordinates of
(iii) Find the equation of the line joining Q to the mid-point of AP.
I already get the (i) but hav no idea with no.(ii) and (iii)
Can anyone help me? Thank you
Answers
Answer:
(i). [tex]y = 2\, x^2 - 4\, x + 1 = 2\, (x - 1)^2 - 1[/tex]. Point [tex]A[/tex] is at [tex](1, \, -1)[/tex].
(ii). Point [tex]Q[/tex] is at [tex]\displaystyle \left(-\frac{1}{2},\, \frac{7}{2}\right)[/tex].
(iii). [tex]\displaystyle y= - \frac{1}{5}\, x + \frac{17}{5}[/tex] (slope-intercept form) or equivalently [tex]x + 5\, y - 17 = 0[/tex] (standard form.)
Step-by-step explanation:
Coordinates of the ExtremaNote, that when [tex]a(x + b)^2 + c[/tex] is expanded, the expression would become [tex]a\, x^2 + 2\, a\, b\, x + a\, b^2 + c[/tex].
Compare this expression to the original [tex]2\, x^2 - 4\, x + 1[/tex]. In particular, try to match the coefficients of the [tex]x^2[/tex] terms and the [tex]x[/tex] terms, as well as the constant terms.
For the [tex]x^2[/tex] coefficients: [tex]a = 2[/tex].For the [tex]x[/tex] coefficients: [tex]2\, a\, b = - 4[/tex]. Since [tex]a = 2[/tex], solving for [tex]b[/tex] gives [tex]b = -1[/tex].For the constant terms: [tex]a \, b^2 + c = 1[/tex]. Since [tex]a = 2[/tex] and [tex]b = -1[/tex], solving for [tex]c[/tex] gives [tex]c =-1[/tex].Hence, the original expression for the parabola is equivalent to [tex]y = 2\, (x - 1)^2 - 1[/tex].
For a parabola in the vertex form [tex]y = a\, (x + b)^2 + c[/tex], the vertex (which, depending on [tex]a[/tex], can either be a minimum or a maximum,) would be [tex](-b,\, c)[/tex]. For this parabola, that point would be [tex](1,\, -1)[/tex].
Coordinates of the Two IntersectionsAssume [tex](m,\, n)[/tex] is an intersection of the graphs of the two functions [tex]y = 2\, x^2- 4\, x + 1[/tex] and [tex]x -y + 4 = 0[/tex]. Setting [tex]x[/tex] to [tex]m[/tex], and [tex]y[/tex] to [tex]n[/tex] should make sure that both equations still hold. That is:
[tex]\displaystyle \left\lbrace \begin{aligned}& n = 2\, m^2 - 4\, m + 1 \\ & m - n + 4 = 0\end{aligned}\right.[/tex].
Take the sum of these two equations to eliminate the variable [tex]n[/tex]:
[tex]n + (m - n + 4) = 2\, m^2 - 4\, m + 1[/tex].
Simplify and solve for [tex]m[/tex]:
[tex]2\, m^2 - 5\, m -3 = 0[/tex].
[tex](2\, m + 1)\, (m - 3) = 0[/tex].
There are two possible solutions: [tex]m = -1/2[/tex] and [tex]m = 3[/tex]. For each possible [tex]m[/tex], substitute back to either of the two equations to find the value of [tex]n[/tex].
[tex]\displaystyle m = -\frac{1}{2}[/tex] corresponds to [tex]n = \displaystyle \frac{7}{2}[/tex]. [tex]m = 3[/tex] corresponds to [tex]n = 7[/tex].Hence, the two intersections are at [tex]\displaystyle \left(-\frac{1}{2},\, \frac{7}{2}\right)[/tex] and [tex](3,\, 7)[/tex], respectively.
Line Joining Point Q and the Midpoint of Segment APThe coordinates of point [tex]A[/tex] and point [tex]P[/tex] each have two components.
For point [tex]A[/tex], the [tex]x[/tex]-component is [tex]1[/tex] while the [tex]y[/tex]-component is [tex](-1)[/tex].For point [tex]P[/tex], the [tex]x[/tex]-component is [tex]3[/tex] while the [tex]y[/tex]-component is [tex]7[/tex].Let [tex]M[/tex] denote the midpoint of segment [tex]AP[/tex]. The [tex]x[/tex]-component of point [tex]M[/tex] would be [tex](1 + 3) / 2 = 2[/tex], the average of the [tex]x[/tex]-components of point [tex]A[/tex] and point [tex]P[/tex].
Similarly, the [tex]y[/tex]-component of point [tex]M[/tex] would be [tex]((-1) + 7) / 2 = 3[/tex], the average of the [tex]y\![/tex]-components of point [tex]A[/tex] and point [tex]P[/tex].
Hence, the midpoint of segment [tex]AP[/tex] would be at [tex](2,\, 3)[/tex].
The slope of the line joining [tex]\displaystyle \left(-\frac{1}{2},\, \frac{7}{2}\right)[/tex] (the coordinates of point [tex]Q[/tex]) and [tex](2,\, 3)[/tex] (the midpoint of segment [tex]AP[/tex]) would be:
[tex]\displaystyle \frac{\text{Change in $y$}}{\text{Change in $x$}} = \frac{3 - (7/2)}{2 - (-1/2)} = \frac{1}{5}[/tex].
Point [tex](2,\, 3)[/tex] (the midpoint of segment [tex]AP[/tex]) is a point on that line. The point-slope form of this line would be:
[tex]\displaystyle \left( y - \frac{7}{2}\right) = \frac{1}{5}\, \left(x - \frac{1}{2} \right)[/tex].
Rearrange to obtain the slope-intercept form, as well as the standard form of this line:
[tex]\displaystyle y= - \frac{1}{5}\, x + \frac{17}{5}[/tex].
[tex]x + 5\, y - 17 = 0[/tex].
An experienced computer technician can set up a network in 12 hours. It would take an intern 20 hours to set up the same network. If they work together, how long will it take to set up the network?
Answers
Answer:
X
Step-by-step explanation:
Answer:
ANSWER IS TIME
Step-by-step explanation:
time
What essential characteristic does a good experiment have?
Answers
Answer:
It should have many essential characteristics such as a Control group, a hypothesis, research to back up and defend your hypothesis/claim and it should be replicable by others with similar results to prove your experiments claim.
Hope this helps. :)
A gym charges $45 per month and a $75 one-time starting fee. Which of these
will show how much it costs to join the gym for one year?
)
(45 x 12) + 75 = c
(45 + 75) x 12 =c
(75 - 45) x 12 = c
(75 x 12) + 45 = c
Answers
Answer:
(45 × 12) + 75 = c
Step-by-step explanation:
45 × 12 months + 75 starting fee
A computer programmer works 40 hours per week. what is the equation that relates to the number of hours "h" that the programmer works and the number of weeks "w" that the programmer spends working?
Answers
Answer:
h = 40w
Step-by-step explanation:
40 per week
hours = 40 x amount of weeks
h = 40w
h is the total number of hours and w is the number of weeks.
what is 1/4 to the power of 34???????
Answers
Answer:
I believe it is 3.3881318e-21 but you could round that
Step-by-step explanation:
Which operation gives a result of 1.39?
Answers
Is Happyville linear or exponential
Answers
Answer:
expoential
Step-by-step explanation:
Solve for x in simplest form. 3=7/2(3x−4)
Answers
Answer:
x = 34/21
Step-by-step explanation:
3 = 7/2 (3x-4)3 = (21/2)x - 28/23 = (21/2)x - 14(21/2)x = 1721x = 34x = 34/21Answer:
x = 34/21
Step-by-step explanation:
3 = 7/2 ( 3 x -4)
We need to perform a multiplication.
The following rule is applied:
In our example, the factors in the new numerator are:
, ,
Notice that all non-fraction factors are placed in the numerator.
The only factor in the new denominator is: 2.
We need to get rid of all the denominators in this equation.
This can be achieved by multiplying both the left and the right side by the Least Common Denominator.
In our example, the LCD is equal to 2.
Which statement describes a disadvantage of Marnie paying a bill by telephone with a credit card or a debit card? Marnie will not have to find a stamp and a mailbox. Marnie will have to share her card account information. Marnie’s bill is paid immediately. Marnie may be eligible for a discount
Answers
Answer:
The Answer is B Marnie will have to share her card account information.
Plus I took this test so
Answer:
B) Marnie will have to share her card account information.
Step-by-step explanation:
I took the test on Edge
Round 45.396 to the nearest tenth
Answers
Answer:
Step-by-step explanation:
45.396
tenth place is 3
on the right of 3 is 9. 9 is higher than 5. Therefore 3 becomes a 4.
the answer is 45.4
Si en una proporción geométrica continua, la media geométrica es 24 y la razón es 2/3 ¿Cuánto es la diferencia de los extremos?. a)18 b)20 c)24 d)16 e)12
Answers
A model of a plane is made using a scale of 1:5. If the wings of the model are 1.2m long, what is the actual length of the wings on the plane?
Answers
Answer:
6 m
Step-by-step explanation:
Multiply your scale by 1.2 m:
1 : 5 = 1.2 m : 6.0 m
The wings on the plane are 6.0 m long.
-5x-y=7 how do I show my work
Answers
Step-by-step explanation:
show yourself simplifying into y=mx+b format
10+x=19 need your help
Answers
Answer:
9
Step-by-step explanation:
10+x=19
move 10 over the =
x =19-10
x=9
Hey there!
ANSWER: [tex]x=9[/tex]EXPLANATION:[tex]10+x=19[/tex]
To solve, you can just do 19 - 10.
[tex]19-10=9[/tex]
Now let's complete x.
[tex]10+x(9)=19\\10+9=19\\x=9(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Simplify 9x + 4(x + 2) - 5:
Answers
Instructions: follow the bedmas rule of solving.
Answer:
Step-by-step explanation:
9x+4x+8-5
=13x+3
Help me please 20 is 1/10 of
Answers
Answer:
20 is 1/10 of 200
Step-by-step explanation:
20* 10 = 200
Answer:
the answer is 200/1
Find the midpoint of (-4,6) and (10,-10)
Answers
Answer:
(3,-2)
Step-by-step explanation:
10+4=14; 14/2=7
-4+7=3
x=3
6+10=16; 16/2=8
6-8=-2
y=-2
Answer:
(3,-8)
Step-by-step explanation:
m=x1+x2/2,y1+y2/2
m--4+10/2,-10-6/2
m=6/2,-16/2
m=3,-8
WHO WANTS A BRAINLIEST?
A (-3.5,1.25) B (-5,-3) C (-4,2) (-4,0) (-4.5,-2.25)
Answers
Answer:
A
Step-by-step explanation:
Find the midpoint by using A and B.
Then use the midpoint and B to find the 3/4 point.
Miguel did the following math problem: 65 ∙ 64 = 369. Which of the following is a true statement? 1.He is correct. 2.He is incorrect because he should have subtracted the exponents. 3.He is incorrect because he should have multiplied the exponents. 4.He is incorrect because he multiplied the bases.
Answers
Answer:
He is incorrect.
Step-by-step explanation:
The correct answer is 4,160.
Answer:
3. He is incorrect because he should have multiplied the exponents.
Step-by-step explanation:
6∧5 × 6∧4 = 369 Incorrect
Correct: 6∧5 = 7776
6∧4 = 1296
7776 × 1296 = 10,077,696
1. He is not correct, therefore the first answer is wrong.
2. You do not subtract the exponents unless one of the exponents is negative and you have the same bases. You have the same bases in this equation, however, neither one of them are negative. Therefore, the second answer is wrong.
3. The third answer is correct because if you were adding the two terms together then you would add the exponents together then multiply the base as many times as needed. However, since you are multiplying the two terms together, you also need to multiply the exponents together. From there, you then multiply the terms and get your answer.
4. The fourth answer is also incorrect because you need to multiply the bases together in order to get a correct answer.
I hope this helps!
what is the gradient of the line 3x+y=4
Answers
Answer:
The slope is - 3Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
The equation is 3x+y = 4
To find the slope of the line we must first write the equation in the general form above
Make y the subject
That's
y = - 3x + 4
Comparing with the general equation above
Slope of the line = - 3
Hope this helps you
If A= -3, B= -7, C= 5, and D= 2, what does AB - CD= Question options: A.11 B.31 C. -11 D. -15
Answers
Find the domain and range of f(x)=|x|+ cos x
I need help ASAP
Answers
Answer:
Domain All real x.
Range f(x) >= 1.
Step-by-step explanation:
The domain is all real numbers.
|x| is always positive.
At x = 0:
f(x) = |0| + cos 0
= 1 which is the minimum value.
Find the remainder when x4+x3-2x2+x+1 is divided by x-1
(a)1
(b)5
(c)2
(d)3
Answers
Answer:
For example, if you want to find printable activities for third grade, click the "3" ... For each clock eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).
Step-by-step explanation:
which number is a prime 49 51 53 55
Answers
53 is a prime number !!
Answer:
53
Step-by-step explanation:
Answer is 53:)
Is the ration of 3/4 the same as the fraction of 3/4
Answers
Answer:
yes but there might be slightly change in it
Answer:
Yes 3/4 is the same as 3/4.
(I might be wrong)
Step-by-step explanation:
Step One: Rewrite the ratio as a fraction
[tex]3 : 4 = \frac{3}{4}[/tex]
Step Two: Reduce and simplify the fraction
This fraction is already reduced so no further work is needed
Hope this helped you!
Are all fractions integers?
Answers
Answer:
No
Step-by-step explanation:
Fractions and decimals are not integers. Any and all whole numbers like 1, 2, 3... Or even negative numbers like -1, -2, -3 etc. are all integers. However any fractions, decimals, etc. are NOT integers.
Hope this helps and have a nice day!
Answer:
no
Step-by-step explanation: no fractions are integers bc the are not orginally positive or negative but u can put them on a number line
The temperature of a freezer started at 18°C after cooling for a few hours the freezer had a temperature of -12°C what is the difference between the new colder temperature in the original temperature
Answers
Answer:
-273.15
Step-by-step explanation:
trust me and ull see