Find the value of k so that the point (1,2) lies on the locus y²-2x-ky+5=0.​

Answers

Answer 1
Answer: k = 3.5

Step-by-step explanation:
1. To find k, use the point (1,2) by inputting it into the equation like (2)^2-2(1) - k(2) + 5 = 0.

2. Simplify the equation by multiplying or squaring the variables with their coefficients. This should give you 4 - 2 - 2k + 5 = 0.

3. Combine like terms 4, -2, and 5. This should give you 7 - 2k = 0.

4. Subtract 7 on both sides to get the k and its coefficient alone. Now the equation becomes -2k = -7.

5. Divide -2 on both sides to get k by itself. This would simplify the equation to k = 3.5.



Related Questions

what’s the perimeter of a rectangle that’s

6m
6m
9m
9m

Answers

Answer:

30

Step-by-step explanation:

perimeter is the outside of a shape so just add them all together honestly

The cost to hire a tent consists of two parts. $c + $d per dayThe total cost for 4 days is $27. 10 and for 7 days is $34. 30. Write down two equations in c and d and solve them

Answers

The cost to hire a tent consists of a fixed cost of $17.50 and a variable cost of $2.40 per day.

Let's call the total cost of hiring a tent for 4 days as T4, and the total cost of hiring a tent for 7 days as T7.

The first equation is the cost for 4 days:

T4 = c + 4d

The second equation is the cost for 7 days:

T7 = c + 7d

We know the values of T4 and T7 from the problem statement:

T4 = $27.10 and T7 = $34.30

We can now use these two equations and their corresponding values to solve for c and d:

Substitute the value of T4 into the first equation:

$27.10 = c + 4d

Substitute the value of T7 into the second equation:

$34.30 = c + 7d

Now we have a system of two equations with two variables (c and d).

Subtract 4d from both sides of the first equation:

$27.10 - 4d = c

Subtract c from both sides of the second equation:

$34.30 - c = 7d

Now we can substitute the value from step 4 into step 5:

$34.30 - $27.10 + 4d = 7d

7d = $34.30 - $27.10 + 4d

3d = $7.20

d = $7.20 / 3 = $2.40

Now we have the value of d, we can substitute it back into the first equation to find the value of c:

$27.10 = c + 4d

$27.10 = c + 4($2.40)

$27.10 = c + $9.60

c = $27.10 - $9.60

c = $17.50

Therefore, c= $17.50 and d= $2.40

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Please answer question plz!!!!!

Answers

Answer:

V = 214.32

Step-by-step explanation:

Remark

You have to be a little careful with this question. The temptation is just to take the difference of the heights. That is not correct. The difference has to be multiplied by the base to get the volume.

Formula

V = (h1 - h2)* Base

Givens

h1 = 32.9

h2 = 29.1

Base = 56.4

Solution

V = 56.4 ( 32.9 - 29.2)

V = 56.4 * 3.8

V = 214.32

Janelle is on the drill team. At her last
practice, Janelle improved her best time
by 3/8 of a second. Which shows 3/8 written in
decimal form?

Answers

Answer:

3/8=0.375

Step-by-step explanation:

Using the graph below with the following point find the length of the two diagonals to determine if TUVW is a rectangle or not T(-5,0) U(7,3) V(9,-6) W(-3,-9)

Answers

The lengths of each diagonal are given as follows:

[tex]TV = \sqrt{232}[/tex][tex]WU = \sqrt{244}[/tex]

As the lengths are different, the polygon TUVW is not a rectangle.

How to obtain the diagonals?

The diagonal length is obtained using the formula for the distance between two points, presented as follows:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In which [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of each point.

The first diagonal is TV, and the length is given as follows:

[tex]TV = \sqrt{(9 - (-5))^2 + (6 - 0)^2} = \sqrt{232}[/tex]

The second diagonal is WU, and the distance is given as follows:

[tex]WU = \sqrt{(-3 - 7)^2 + (-9 - 3)^2} = \sqrt{244}[/tex]

A rectangle has diagonals of equal length, hence the polygon for this problem is not a rectangle.

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Simplify
(12 – 3) + 15+5 (-2)

Answers

Answer:

14

Step-by-step explanation:

The multiplication must be done before the addition and subtraction.

(12 – 3) + 15+5 (-2)

becomes (9) + 15 + 5(-2), which in turn becomes

                 (9) + 15 - 10, or 14

             

Find the sum of the first 10 terms in this geometric series.
1+3+9+27+...

Answers

Answer:

29524

Step-by-step explanation:

The sum of the first  n  terms is  [tex]S_n=a_1\frac{1-r^n}{1-r}[/tex]  where [tex]a_1[/tex] is the first term and r is the common ratio.

For the sequence in this question,  [tex]a_1=1,\,r=3[/tex].

[tex]S_10=(1)\frac{1-3^10}{1-3}=\frac{-59048}{-2}=29524[/tex]

A line is parallel to y = 4x + 11 and
intersects the point (-2, 4). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y₁ = m(x − x1)
Then write the equation in slope-intercept form.
Enter

Answers

Answer:

y=4x+12

Step-by-step explanation:

if a line is parallel to another they have the same slope ,,

y=mx+c

where m represents the slope

and c represents the intercepted part of y axis

so the slope equals 4 from y=4x+11

to find the intercepted part c ,, substitute by the given point in the equation y=mx+c

(-2,4),, and slope is 4

4= 4×-2+c

4= -8+c

c= 12

so the equation is

y=4x+12

Answer:

y =4x-18

Step-by-step explanation:

y +2 = 4(x - 4)

y +2 =4x-16

y = 4x-18

- What is the domain of the function
f(x) = x2 - 6x +1?

Answers

Answer:

(-infinity, +infinity)

Step-by-step explanation:

Your college tuition is $25,000 and it increases by 6% each year.

Answers

Answer:

Your collage tuition will increase by $1,500 each year.

Step-by-step explanation:

To find the answer we will first turn 6% to a decimal by dividing 6 by 100 and we get 0.06. Now multiply $25,000 by 0.06 and we get $1,500.  Therefore the answer is $1,500.

What is the midpoint of 1 and 2 and 3 and 4?

Answers

The midpoint of 1 and 2 and 3 and 4 is (2,3).

The formula for midpoint = (x1 + x2)/2, (y1 + y2)/2.

The end of a line at a point that is equally distant from both ends, a time interval between an event's beginning and end.

The point on a graph or figure where the figure stops might be referred to as the endpoint. It can be the point joining the sides of a polygon (the vertex), the common endpoint of two rays making an angle, the two extreme points of a line segment, the one end of a ray.

Use numbers, fractions, mixed numbers, or decimals to enter two points. The midpoint calculator displays the required research:

Halfway between the two specified pointsOne endpoint and a midpoint are provided.The separation of two endpoints.Additionally, the calculator offers a link to the Slope Calculator, which will solve and display the work necessary to identify the slope, line equations, and x and y intercepts for any given pair of points.

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Amare is buying museum souvenirs. He buys 3 animal figures
and 6 bookmarks for $33. Later he goes back to buy 3 more
figures and return 3 of the bookmarks, spending another $6.
In the system, fis the price of a figure and b is the price
Al Pisto
of a bookmark.
3f + 6b = 33
3f-3b = 6
How much does each figure cost? How much does each bookmark cost?

Answers

Answer:

Each animal figure cost $2 dollars and each bookmark cost $4.50 dollars

Step-by-step explanation:

I got this answer is because second part of the question it says "Later he goes back to buy 3 more figures and return 3 of the bookmark spending another $6". The information this gives us is that since he bought nothing but animal figures and bought 3 animal figures and spent $6 dollars that tells us that each animal figure cost $2 dollar knowing this we can figure out the first part since in the first part he spent $33 dollars in total and bought 3 animal figures and 6 bookmarks and we know each animal figure cost $2 dollars we know in total he spent $6 dollar on animal figures and he spent $27 dollar on bookmarks doing division 27 divided by the number of bookmarks he bought we figure out the cost of one bookmark so doing this the answer is one animal figure is $2 dollars and one bookmark is $4.50.

I hope this help this is less of a math problem and more of a logic one this took me a while of rereading to figure out!

Give me a thanks.

Find the
equation of the circle with center at (3, -2) and radius of 3.

Answers

(x-3) *squared* + (y + 2) *squared* = 6

Does 4 8 10 make a right triangle?

Answers

No, 4, 8 and 10 cannot be the sides of a right triangle. So 4, 8 and 10 does not make a right triangle.

In a right triangle, the side opposite the right angle (the hypotenuse) is the longest side. The side opposite the 90-degree angle is the hypotenuse and it follows the Pythagorean theorem which states that the square of the hypotenuse is equal to the sum of the squares of the legs, so:

c² = a² + b²

In this case, c = 10, a = 8 and b = 4,

so 8² + 4² = 64 + 16 = 80 ≠ 10²

That is it does not follows the theorem. Therefore, 4, 8 and 10 cannot be the sides of a right triangle.

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Find the value a1
for an arithmetic sequence if the sum of 9 terms is 45 and the last term is 6

A. 4
B. 2
C. 1/4
D. 1/2

Answers

I think the answer is B I’m not sure

50 points!!! and BRAINLIEST IF CORRECT
An investment banker is responsible for investing a customer’s money into the greatest interest earning account. The banker has the following options for his customer’s investment:

Account A:
interest rate = 8%
term of investment = 8 years
interest compounded annually Account B:
interest rate = 7%
term of investment = 10 years
interest compounding continuously
Which account, A or B, will earn the customer the greatest amount of interest on his $50,000 investment? In your final answer, include all of your calculations.

Answers

Answer: account b

Step-by-step explanation:

account A will give 92 thousand dollars

account B will give 100 thousand dollars

I put it in a table

Answer:

SEE ANSWER BELOW

Step-by-step explanation:

A. (formula A=P(1+r/n)^nt

P=50,000(1+.08/1)^nt

P=50,000(1+.08)^nt

P=50,000(1.08)^nt

P=50,000 • 1.85

P=92,546.5

B. (formula A=Pe^rt

P=50,000e7 • 10

P=50,000 • 7

P=50,00 •2 .013

P=100689.64

B saves more

Please help:( if anyone is good at algebra, assist me in this tragic time

Answers

Step-by-step explanation:

x -2 -1 2 7

y -6 -6 -2 3

All y are in under root

So sorry if it’s wrong

Can someone please help me with math.

Answers

Answer:

5. B) 55

6. D) 15

Step-by-step explanation:

5.

One of the properties of a triangle is that the sum of angles in a triangle will always equal (180) degrees. One can apply this here, form an equation and solve for (x). Remember, a box around an angle indicates that the measure of the angle is (90) degrees.

90 + x + 35 = 180

Simplify,

125 + x = 180

Inverse operations,

x = 55

6.

This triangle is a right triangle, as mention earlier, a box around an angle indicates that the angle measure is (90) degrees. One of the criteria of a triangle to be considered a right triangle is that it must contain a (90) degree angle. One of the properties of a right triangle is that it follows the Pythagorean theorem, the Pythagorean theorem states the following,

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) are the legs or sides adjacent to the right triangle, and (c) is the hypotenuse or side opposite the right angle.

[tex](9)^2 +(12)^2 = (c)^2[/tex]

Simplify,

[tex]81+144=c^2\\\\225=c^2[/tex]

Inverse operations,

c = 15

Decrease #2000 by 20%

Answers

Answer:

400

Step-by-step explanation:

2000 divided by 20% is 400

Helen told her mom she got 85% on a recent math test. She remembered the test was out of 60. What was her actual mark? *

Answers

Answer: 85% out of how many questions.

Step-by-step explanation:

Which graph best represents a function with a domain of all real numbers greater than or
equal to 1 and less than or equal to 2?

Answers

The graph best represents a function with a domain of all real numbers greater than or equal to 1 and less than or equal to 2 are area between equation x + y [tex]\geq[/tex] 1 and x + y [tex]\leq[/tex] 2 .

Which function has a domain that includes all real numbers?

The collection of all potential inputs for a function is known as its domain. For instance, the domain of f(x)=x2 is all real numbers, and the domain of g(x)=1/x is all real numbers other than x=0.

How do you plot all real values on a graph?

The real numbers are all the numbers that make up the real number line, per definition. Thus, all real numbers can be graphed by simply drawing a number line. The number line is a graph of all real numbers since it contains all of the rational numbers.

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Given (x – 7)2 = 36, select the values of x.
x = 13
x = 1
x = –29
x = 42

Answers

Answer:

The values are 13 and 1

I hope this is correct

7. You have $2 worth of quarters, dimes, and nickels
and you have 12 total coins. How many of each do you
have?

Answers

Answer:

6 quarters, 4 dimes, and 2 nickels

That would be 6 quarter, 4 dimes, and 2 nickels

HELP PLEASE PLEASE!!!!!!!!

Answers

Answer:

The measure of the third angle is equal to 34°

Step-by-step explanation:

Given that,

The measure of angle 1 is 50°.

The measure of angle 2 is 96°

We need to find the measure of the third angle. We know that the sum of angles of a triangle is equal to 180°. So,

x+50+96=180

x+146=180

x = 180-146

x = 34°

So, the measure of the third angle is equal to 34°.

Help me
With stepsss pleaseee

Answers

Answer:

Step-by-step explanation:

I need help please, question in photo

Answers

Answer:

A. and F. and B.

:)


Can someone help me?

Answers

Answer:

+6 dollars

Step-by-step explanation:

What is one way you could use the positive feelings from a situation toward a future motivation?

Develop a positive personal process and focus
Remember the “How could I do better?” mentality
Tell the adults in your life to hold you accountable
Be content with not being successful at everything

Answers

Answer:

One way to use positive feelings from a situation towards future motivation is to focus on the positive aspects of the experience and try to replicate them in the future. For example, if you had a particularly enjoyable and successful project at work, you might try to identify the specific factors that contributed to your success and seek out similar opportunities in the future. This approach can help you to build on your strengths and experiences and maintain a positive and motivated outlook. Additionally, setting specific goals for yourself and tracking your progress can help to keep you motivated and on track towards future success.

Need answer quick 65 points and brainlyest
Graph using this picture
y+4=25(x−3)

Answers

The linear function y = 25x - 79 is plotted on a graph with x - intercept at 3.16

What is Graph of Linear Function

A graph of a linear function is a line that goes through the origin (0, 0). The line can be described by the equation y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of the line can be positive, negative, zero, or undefined.

In this problem, the linear function given y + 4 = 25(x - 3) can be written in slope - intercept form and then plotted in a graph using a graphical calculator.

y + 4 = 25(x - 3), the linear function can written;

y + 4 = 25(x - 3) = y + 4 = 25x - 75 ;

This becomes y = 25x - 75 - 4;

Collecting like terms

y = 25x - 79

Plotting this on a graph;

The line passes through the x - axis at 3.16 which is the x - intercept

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PLEASE ANSWER ASAP!
The question is on the screenshot

Answers

Answer:

A

Step-by-step explanation:

Cross multiply

2x8 over 3x6

Answer:

B. i beleive

Step-by-step explanation:

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