The point (3 , k) is a distance of 5 units from (0 , 1). Find the two possible values of k.

Answers

Answer 1
d =√(x2-x1)^2 + (y2-y1)^2
......._____________
5 =√(3-0)^2 + (k-1)^2
.......__________
5 =√3^2 + (k-1)^2

25 = 9 + (k-1)^2

16 = k^2 - 2k + 1

k^2 -2k - 15 = 0

(k - 5)(k + 3) = 0

k - 5 = 0.....or.......(k + 3) = 0

k = 5.........or.......k = -3

Related Questions

Please help ASAP!
Thank you

Answers

The answer has to be 16 because when you add them it goes up
Yep. Your answer would be 16

Write a rule for a function with a parabolic graph that contains the x-intercepts (-20,0) and (40,0) and a maximum point whose y-coordinate is 30.

Answers

Step-by-step explanation:

Since the x-intercepts are -20 and 40, the line of symmetry is x = (-20 + 40)/2 = 10.

Now we have y = a(x - 10)² + 30, where a is an unknown constant. We can find a by using an x-intercept point.

=> (0) = a[(40) - 10]² + 30

=> 900a + 30 = 0, a = -1/30.

Hence the rule is y = -(x - 10)²/30 + 30.

HELP ME QUICKLY AND PLS EXPLAIN HOW YOU GOT YOUR ANSWER! ILL EVEN GIVE BRAINLIEST<3
Laura wants to cut the board into equal pieces so that each piece is 5/8 foot long. How many pieces will she have? (The board is 12ft)

Answers

Answer:

Step-by-step explanation:

This is a straight forward division problem.

12/(5/8).

The rule for division of fractions is: invert the denominator and multiply.

For this problem: 12/(5/8) = 12 * 8/5 = 96/5.

plz help with 24-28!!!!!!!!!!!!!!

Answers

Answer:

4

Step-by-step explanation:

whats 8 x 2 40 points

Answers

Answer:

Error hehehheheheh

Step-by-step explanation:

crown me please hehehhhe hahahahahh hohohoohoho points more more more more points

Pleeeeeeease help me! However helps me first gets brainliest points!

Simplify the following algebraic expressions:
a. - 6x + 5 + 12x -6
b. 2(x - 9) + 6(-x + 2) + 4x
c. 3x2 + 12 + 9x - 20 + 6x2 - x
d. (x + 2)(x + 4) + (x + 5)(-x - 1)
e. (x+8)(x+9)+(x+1)(-x-6)

Answers

Answer:

A) 6x-1

B) -6

C) 9x2+8x-8

D) 3

E) 10x+66

Step-by-step explanation:

One winter day, the temperature in Houston is 8 Celsius. Find the temperatures in these other cities. Explain or show your reasoning.
In Orlando, it is 17 warmer than it is in Houston
In Salt Lake City, it is 18 colder than it is in Houston
In Minneapolis, it is 25 colder than it is in Houston
In Fairbanks, it is 12 colder than it is in Minneapolis
Write an addition equation that represents the relationship between the temperature in Houston and the temperature in Fairbanks.

Answers

Orlando = 25° because 17+8
Salt Lake city = -10° because 8-18
Minneapolis = -17° because 8-25
Fairbanks = -29° because -17-12

Houston = 8° - 37° = Fairbanks

Hence, the temperatures in these other cities are

Orlando is [tex]25[/tex] degree

Salt Lake is [tex]-10[/tex] degree

Minneapolis is [tex]-17[/tex] degree

Fairbanks is [tex]-29[/tex] degree

What is the degree?

A degree, usually denoted by °, is a measurement of a plane angle in which one full rotation is [tex]360[/tex] degrees.

Here given that,

One winter day, the temperature in Houston is [tex]8[/tex] Celsius.

In Orlando, it is [tex]17[/tex] warmer than it is in Houston.

In Salt Lake City, it is [tex]18[/tex] colder than it is in Houston.

In Minneapolis, it is [tex]25[/tex] colder than it is in Houston.

In Fairbanks, it is [tex]12[/tex] colder than it is in Minneapolis.

So, it would be

Orlando = [tex]25[/tex] degree

because [tex]17+8=25[/tex] degree

Salt Lake city [tex]= -10[/tex] degree

because [tex]8-18=-10[/tex] degree

Minneapolis [tex]= -17[/tex] degree

because [tex]8-25=-17[/tex] degree

Fairbanks [tex]= -29[/tex] degree

because [tex]-17-12=-29[/tex] degree

Hence, the temperatures in these other cities are

Orlando is [tex]25[/tex] degree

Salt Lake is [tex]-10[/tex] degree

Minneapolis is [tex]-17[/tex] degree

Fairbanks is [tex]-29[/tex] degree

To know more about the  degree

https://brainly.com/question/15652682

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Find The values of ( d ,f ,e ) angles

Answers

Answer:

angle d =35, e=55, f=55.............

Can you answer this for me thank you

Answers

Make it into a simultaneous equation:

5p + 4e = 7.65
4p + 5e = 7.20

Use adding/subtracting formula

The cost of an eraser is $1.44

A circles radius is 13 meters what is the circles area using 3.14 rounded to the nearest tenth

Answers

Answer:

530.7

Step-by-step explanation:

A circle's area is defined as πr²

You would substitute 13 in for r (the radius) and use 3.14 as your given value for pi, leaving you with this:

3.14×13²

When you calculate this, it should return a value of 530.66, which rounded to the nearest tenth is 530.7

Hope this helps!

How many fourths are in 3 fourths?​

Answers

Answer:

12 one fourths

Step-by-step explanation:

Answer:

12 one fourths

Step-by-step explanation:

There 3 × 1 1/4 = 3 × 4 = 12 one fourths in 3

(9, 19) (2, 16)
Write the coordinates as decimals or integers.

Answers

Answer:

In decimal 0.428571428

Step-by-step explanation:

The slope = (y2 - y1)/(x2 - x1) y2 = 16, y1 = 19x2=2 and x1=9

The slope = (16 - 19)/(2 -9)

The slope = (-3)/(-7)

The slope = 0.428571428

So in decimal form the coordinates are going to be written as 0.428571428

Slope is the steepness of a line, it is the difference between the y coordinates divided by the difference in x coordinates.

f(x)=-12x^3-14x^2+6x

Answers

There has to be x equals of f is something or u can’t solve

There are 30 female performers in a dance recital. The ratio of men to women is 4:5. How many men are in the dance recital?

Answers

men to women ratio is 4:5
females: 30/x = 5
x = 6

males: y/6 = 4
y = 24

there are 24 men in the dance recital.

What is the surface area of the cylinder with height 8 ft and radius 5 ft? Round your answer to the nearest thousandth.

Answers

A≈408.41ft² < that is the answer

Help

Don’t use for points and also be clear or I will take the points back

Answers

Answer:

x=47°

Step-by-step explanation:

..,........................

Answer:

I believe it is 47.  

Step-by-step explanation:  The reason why is because for a right angle it must be 90 degrees So, the way I solved this was getting 90-43 I got the 43 from BCD.  then subtracted it and applied it to the other side,  keep in mind I am only a freshman and it might be wrong super tiny chance but it might.  

Help&EXPLAIN
==============

Answers

Answer:

A = 108 in.²

Step-by-step explanation:

The figure can be decomposed into 3 rectangles.

✔️Area of rectangle 1 = L*W

L = 8 in.

W = 6 in.

Area = 8*6 = 48 in.²

✔️Area of rectangle 2 = L*W

L = 10 in.

W = 4 in.

Area = 10*4 = 40 in.²

✔️Area of rectangle 3 = L*W

L = 5 in.

W = 4 in.

Area = 5*4 = 20 in.

✔️Area of the irregular figure = 48 + 40 + 20 = 108 in.²

A state began an effort to increase the deer population. In year 2 of the effort, the deer population in a state forest was 3,000. In year 4, the population was 4,320.

The explicit rule for the geometric sequence is aₙ =

Answers

Step-by-step explanation:

i guess math is the hardest subject

Answer:

The answer is aₙ = 2,500 (6/5)^n-1

Hope i helped, have a wonderful day! :D

Pleas e help me 100 points and brainliest

Answers

Answer:

this is your answer. I think it is right.

Answer:

see the answers

Step-by-step explanation:

to understand thisyou need to know about:factoringlCDPEMDAStips and formulas:L.C.D=lowest common denominatorlet's solve:

[tex]1) \sf\frac{7}{m - 6} \: , \frac{1}{m} \\ [/tex]

denominators are m-6,m

therefore

the lowest common denominator is

(m-6)(m)

[tex] \sf\frac{1}{n - 1} \: , \frac{1}{ {n}^{2} - 2n + 1 } [/tex]

denominators n-1,n²-2n+1

step-1

factor n²-2n+1 to find the lowest common denominator

use (a-b)²=a²-2ab+b to factor n²-2n+1

therefore

(n)²-2.n.1+(1)²(n-1)²

therefore

the L.C.D of the second expression is

(n-1)² alternative form(n-1)(n-1)

[tex]3) \tt\frac{k}{ {h }^{2} - 5h + 6} \: , \frac{3}{h -3 } [/tex]

step-1

factor out h²-5h+6 to find L.C.D

rewrite -5h as -2h-3h: h²-2h-3h+6factor out h: h(h-2)-3h+6factor out -3: h(h-2)-3(h-2)group: (h-3)(h-2)

therefore

the L.C.D of the third expression is

(h-3)(h-2)

Help it’s due today plz

Answers

I can help you with no.1 it is 40

What is the volume of a cube with edge lengths of 2/3 units

Answers

8/27 because 2/3*2/3*2/3=8/27

Answer:

Step-by-step explanation:

8/27 because if you think about it 2/3 x 2/3 x 2/3 x 2/3 = 8/27

If an interest rate of 5% results in interest of $50,
what is the principal amount of the loan?

Answers

X times 0.05 = $50
Solve for x

We do the inverse of times which is divide

$50 divide by 0.05 = $1000

Thus, $1000 is the amount of loan.

Answer:

Ñpswplmlpspapppapapa

Encryption Matrices are commonly used to encrypt data. Here is a simple form such an encryption can take. First, we represent each letter in the alphabet by a number, so let us take < space > = 0, A = 1, B = 2, and so on. Thus, for example, "ABORT MISSION" becomes [1 2 15 18 20 0 13 9 19 19 9 15 14]. To encrypt this coded phrase, we use an invertible matrix of any size with integer entries. For instance, let us take A to be the 2 × 2 matrix 3 4 1 2 . We can first arrange the coded sequence of numbers in the form of a matrix with two rows (using zero in the last place if we have an odd number of characters) and then multiply on the left by A. Encrypted Matrix = 3 4 1 2 1 15 20 13 19 9 14 2 18 0 9 19 15 0 = 11 117 60 75 133 87 42 5 51 20 31 57 39 14 , which we can also write as [11 5 117 51 60 20 75 31 133 57 87 39 42 14]. To decipher the encoded message, multiply the encrypted matrix by A−1. The following exercise uses the above matrix A for encoding and decoding. Use the matrix A to encode the phrase "GO TO PLAN B".

Answers

Answer:

ok

Step-by-step explanation:

Jeff had 20 $ he spent 1/8 on his money on lunch and 2/5 of his money at the movies. How much money does Jeff have left

Answers

Answer:

9.50$

Step-by-step explanation:

First, multiply 20 by the given fractions

20*1/8=2.5

20*2/5=8

Add the two together to get the total amount of money Jeff spent, 10.5, then subtract 10.5 from 20 to get the total amount he has left, 9.5

Answer:

$9.50

I did a test with this question and the correct answer was 9.50

Help me please!!
15 points!

Answers

Answer:

Hi Hi really sorry may i get some points i need them to give it to other people cuz some people want points, ik its not the answer u wanted sorry but hope u get the answer soon!

Step-by-step explanation:

How could
you re-write the number 330 using the 4, 82 and the
remainder of 2 ?

Answers

Step-by-step explanation:

the answer for ur question is:

82(4)+2

piete)
Decide whether the following statement makes sense or does not make sense. Explain your reasoning.
I drove at a speed of 35 miles for the entire trip.

Answers

Answer:

It doesn't make sense

Step-by-step explanation:

Given

Statement: .... at a speed of 35 miles .....

Required

Does it make sense?

In motion, speed is measured in km/h, m/s, miles per hour (depending on context) while distance is measured in km, m or miles.

However, the given statement mention the unit of speed to be miles which is incorrect.

Hence, we can conclude that the statement does not make sense.

A correct statement would be: I drove at a speed of 35 miles per hour .......

Translate the expression: Four-fifths of the sum of 4 and y (pls hurry it's timed)​

Answers

[tex]\frac{4}{5}(4+y)[/tex]

Lillian wants to give 1/3 of a pizza to each of six girls at her party. Dragon drop the correct equation an answer to find how many pizzas Lillian needs

Answers

Answer:

2 pizza

Step-by-step explanation:

Given

[tex]Pizza = \frac{1}{3}[/tex]

[tex]Girls = 6[/tex]

Required

Amount of Pizza needed

To do this, we simply multiply the fraction of pizza by the number of girls i.e.

[tex]Amount = Pizza * Girls[/tex]

[tex]Amount = \frac{1}{3} * 6[/tex]

[tex]Amount = 2[/tex]

Hence, Lilian needs 2 pizza

how much did he spend on the cookir

Answers

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