100-121k^2=0 What are solutions to this equation?

Answers

Answer 1

Answer:

k = ±[tex]\frac{10}{11}[/tex]

Step-by-step explanation:

121k² - 100 = 0

(11k + 10)(11k - 10) = 0


Related Questions

Multiply (a-b) by (2b-a).

Answers

Answer:

-2b(a) - a^2 -2b^2

Step-by-step explanation:

Just use the 'foil' method, meaning that you multiply the first number of one part (a), to the first and second to the next part (2b, -a)

Then, multiply the second number of that part (-b), to the first and to the next part (2b, -a)

You would get: -2b(a) - a^2 -2b^2

Multiplication is the process of multiplying. The multiplication of (a-b) by (2b-a) results in 3ab-a²-2b².

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

An expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context. The multiplication of the two given expressions (a-b) and (2b-a) can be done as shown below,

(a-b) × (2b-a)

= a(2b-a) -b(2b-a)

= (a × 2b) - (a × a) - (b × 2b) + (b × a)

= 2ab - a² - 2b² + ab

=  -a² -2b² + 3ab

= 3ab -a² -2b²

Hence, the multiplication of (a-b) by (2b-a) results in 3ab-a²-2b².

Learn more about Multiplication here:

https://brainly.com/question/14059007

#SPJ2

TJ's Cat Food plans to use tins that are the shape of cylinders. Find the height of the tin, if its bottom diameter is 12 cm and volume is 757.36cm.

Answers

Answer:

6.69 cm

Step-by-step explanation:

Given data

Diameter= 12cm

Radius= 6cm

Volume= 757.36cm^3

The expression for the volume of a cylinder is

V= πr^2h

Substitute

757.36= 3.142*6^2*h

757.36=113.112h

h= 757.36/113.112

h= 6.69 cm

Challenge: Jasmine needs 300 centimeters of fabric to make her new dress. The fabric costs $5 for each meter. How much will her fabric cost to make the dress?

Answers

Answer: $15

Step-by-step explanation:

Jasmine needs 300 centimeters

$5 each meter

The first step you need to do is convert 300 centimeters to meters, because it’s $5 for each meter.

(You can use the King Henry Chart to help you)

So, 1 centimeter is 1/100 meter

How much is 300 centimeters in meters?

300x1/100

= 300/100

=3

300 cm= 3m

Now, there is $5 for each meter.

How much does it cost for 3 meters?

= 5x3

= $15

It will cost her $15

Eighth grade) W.16 Create equations with no solutions or infinitely many solutions Learn with an example v Find the missing number(find blank) so that the equation has no solutions. (blank) X - 5 = 3x + 10 ​

Answers

Answer:

i dont know if this is the right but i think its -5

Step-by-step explanation:

A CD usually sells for $17.00. If the CD is 20% off, and sales tax is 6%, what is the total price of the CD, including tax?
A.
$14.42
B.
$15.32
C.
$13.52
D.
$14.62

Answers

Answer:

14.42

Step-by-step explanation:

17.00 x .80  20% off means price is 80% (or .80) of price

=13.6

13.6 x .06 = .82 sales tax

13.60 + .82 = 14.42 sales price plus sales tax

What is the value of b? b=

Answers

Answer:

24

Step-by-step explanation:

Since the triangle is isosceles and the bisector is perpendicular, SV= VU

2b= b+24

b=24

You start at (9, 3). You move down 3 units. Where do you end?

Answers

Answer:

9,6 good luck with the answer

answer: (9,0). bc moving down is in the y axis. subtract 3 from (9,3) and it equals (9,0)

Please help and show workings!

Answers

Answer:

[tex]162\sqrt{3}[/tex]

Step-by-step explanation:

The equation for finding the area of a hexagon with a side length is

[tex](s^23\sqrt{3} )/2[/tex]

insert [tex]6\sqrt{3}[/tex]

and you are left with 162\sqrt{3}

Hope that helps :)

Answer:

[tex] \displaystyle E)\: 162 \sqrt{3} [/tex]

Step-by-step explanation:

we are given a side a polygon

and said to figure out the area

recall the formula of regular polygon

[tex] \displaystyle \: \frac{ {na}^{2} }{4} \cot \left( \frac{ {180}^{ \circ} }{n} \right) [/tex]

where a represents the length of a side

and n represents the number of sides

the given shape has 6 sides

and has a length of [tex]\displaystyle 6\sqrt{3}[/tex]

so our n is 6 and a is 6√3

substitute the value of n and a:

[tex] \displaystyle \: \frac{ {6 \cdot \:( 6 \sqrt{3} })^{2} }{4} \cot \left( \frac{ {180}^{ \circ} }{6} \right) [/tex]

reduce fraction:

[tex] \displaystyle \: \frac{ {6 \cdot \:( 6 \sqrt{3} })^{2} }{4} \cot \left( \frac{ { \cancel{180}^{ \circ}} ^{ {30}^{ \circ} } }{ \cancel{6 \: } } \right) [/tex]

[tex] \displaystyle \: \frac{6 \cdot \: (6 \sqrt{ {3} } {)}^{2} }{4} \cot( {30}^{ \circ} ) [/tex]

simplify square:

[tex] \displaystyle \: \frac{6 \cdot \: 36 \cdot \: 3 }{4} \cot( {30}^{ \circ} ) [/tex]

reduce fraction:

[tex] \displaystyle \: \frac{6 \cdot \: \cancel{36} \: ^{9} \cdot \: 3 }{ \cancel{ 4 \: } } \cot( {30}^{ \circ} ) [/tex]

[tex] \displaystyle \: 6 \cdot \: 9 \cdot \: 3 \cot( {30}^{ \circ} ) [/tex]

simplify multiplication:

[tex] \displaystyle \: 162\cot( {30}^{ \circ} ) [/tex]

recall unit circle:

[tex] \displaystyle \: 162 \sqrt{3} [/tex]

hence, our answer is E

Please help!!! I’ll mark you as brainliest!!!

Answers

Ok I’ll break this down so it’s easier to understand:

So you start of with $80

The first step is to find 20% off

An easy way to find 20% is to divide it by 5.

80/5= 16

And since it’s 20% OFF we subtract 16 from 80

80-16= 64

Next we need to do the coupon

It is $5 off so

64-5= 59

And finally the rebate which is $2

59-2= 57

Answer:
57

Answer:

$57

Step-by-step explanation:

→ Do 20% of $80

( 20 × 80 ) ÷ 100 = 16

→ Add 5 to the previous answer

5 + 16 = 21

→ Add 2 to 21

2 + 21 = 23

→ Minus 23 from the total price

80 - 23 = $57

-5x + 4y = 7
-5x - 3y = -14

Answers

Answer:

1. x = [tex]\frac{4}{5}y + \frac{-7}{5}[/tex]

2. x = [tex]\frac{-3}{5}y + \frac{14}{5}[/tex]

Step-by-step explanation:

is anybody can help me with this one?
[tex]5(1 + n) = 2n ^{2} - 2[/tex]

Answers

Answer:

n = -1 , 3.5

Step-by-step explanation:

Move the terms to the left side and set equal to zero. Then set each factor equal to 0

D Question 5 5) A bag contains colored paper clips. 2 clips are green 4 clips are orange 2 clips yellow A paper clip will be randomly selected from the bag. What is the probability in decimal form that the paper clip selected will be green?​

Answers

Answer:

0.125

green

Step-by-step explanation:

Since we know that there is 8 clips (2+2+4) and then we take 4/8 as a decimal and we then get 0.125

Answer: 0.25

Step-by-step explanation: 2+4+2=8 8clios in the bag and 2 are green, so 2/8 is the probability it will be a green selected. 2/8 in decimal form is 0.25

Please help!!! : )))
Sorry it's flipped lol

Answers

Answer:

20-24

Step-by-step explanation:

you can see that when you find the middle of the total data the data set left is in the 20-24 category

hope this helps! :)

[tex]3\sqrt{x} -1\leq 12[/tex]

Answers

Answer:

0≤x≤169/9

Step-by-step explanation:

can someone please help!
find the minimum value of the function f(x)=0.2x^2-x+5.2
to the nearest hundredth.

Answers

Answer:

min f(x) = 3.95  (for x= 2.5)

Step-by-step explanation:

vertex (x) = 1/0,4 = 2,5

vertex (y) = 0.2(2.5)^2-2.5+5.2 = 3.95

Michael rolled a number cube that has sides labeled 1 to 6. What is the probability that he rolled a 2 and then a 4?

Answers

Answer:

3/4

Step-by-step explanation:

Don’t answer if you don’t know, it’s rude

Word search

Vertical, diagonal.horizontal,
backwards
I’ll appreciate if u find atleast 1

Answers

Answer:

down here :)

Step-by-step explanation:

Digits: Go to the last E in Greek alphabet, and go down three spaces. The word runs diagonally into the top right corner.

Fraction: Go one above the N in Repeating. runds up diagonally into the top left corner.

The gene that causes brown fur in a rabbit develops a
mutation that results in white fur.
How would this mutation most likely affect a rabbit that lives in a snowy
climate?

Answers

Answer:

It would help the rabbit by blending in with the environment and avoiding predators.

Step-by-step explanation:

I got the question right ap3x

Answer:

Step-by-step explanation:

It would help the rabbit by blending in with the environment and avoiding predators.

Identify the zeros/roots: and
Does it have a minimum or maximum?
Axis of symmetry:
Vertex:
y-intercept:

Answers

The zeros are -1 and 3. Minimum. Axis of symmetry is 1. Vertex is 1,-4. Y-intercept is -3.
Hope this helped

A car accelerates from rest to 25 miles per hour in 3.0 seconds. What was the car's
acceleration?

Answers

Answer:

The car's acceleration was 3.73 metre per second square = 3.73m/s²

Step-by-step explanation:

The car accelerated from rest.

initial velocity (u) = 0m/s

final velocity (v) = 25miles/hr = 11.2m/s

time (t) = 3s

a = ?

v = u+at

a = (v-u)/t

a = (11.2 - 0) / 3

a = 11.2/3

a = 3.73

a = 3.73m/s²

a

plss help i’ll give brainliest thank you!

Answers

Answer:

its 36 can you give me brainlyyy pleaasee

Answer:

36

Step-by-step explanation:

18 goes into 9 but not 12.

24 goes into 12 but not 9.

36 goes into 9 also into 12.

48 goes into 12 but not 9.

Hope this helps!

2^(4- )8+16 *2
simplify

Answers

Answer:

-32

Step-by-step explanation:

In the scenario:

“The number of ways to place 12 pictures in identical picture frames.”

Determine if it is a combination or permutation.


Combination

Permutation

Answers

Answer:

Combination

Step-by-step explanation:

Answer:

This would be a Permutation.

Please help, thankss

Answers

Answer:

The second option 5x.

Step-by-step explanation:

Because it says 'x inches each' knowing that it said 5 before that. (5x) no math included just wording and phrasing :)

B. the second choice

What is 4 and 3/4 - 1 and 1/3? The answer is one of these: 2 and 2/7, 2 and 2/12, 3 and 5/12, or 3 and 5/7

Answers

Answer:

3 and 5/12

Step-by-step explanation:

[tex]4 \frac{3}{4} = \frac{19}{4}\\ \\1\frac{1}{3} = \frac{4}{3}[/tex]

[tex]\frac{19}{4} - \frac{4}{3} \\\\\frac{19(3) - 4(4)}{12} \\\\\frac{57 - 16}{12} \\\\\frac{41}{12} \\[/tex]

This fraction is equivalent to,

[tex]3 and 5/12 = 3\frac{5}{12} = \frac{12*3 + 5}{12} = \frac{41}{12}[/tex]

Erwin flips a coin and rolls a standard number cube. Find the probability that the coin will show heads and the
cube will show a multiple of 3.
Write the probability as a fraction in simplest form.

Answers

Answer:

1/6

Step-by-step explanation:

P(H and 3 or 6):  1/2 x 2/6 = 2/12 or 1/6

What is the area? Please help

Answers

Answer:

75

Step-by-step explanation:

A=1/2h(a+b) =10÷2=5(10+5)

=5×15

=75
The answer is =.5*(10+5)*10
=75mm

In the following arithmetic sequence, which number is

missing from the series?

(2, 104, 206, 308, _____, 512, 614)​

Answers

Answer:

410

Step-by-step explanation:

Every sequence 102 gets added

'

The answer is 410 because the number is rising at a constant of 102 per a new arithmetic

Gayle graphs the parabola (y + 1)2 = 12 (x – 3). How does she proceed? Drag a value, coordinates, equation, or word to the boxes to correctly complete the statements. Gayle identifies that the vertex of the parabola is The parabola opens and the focus is units away from the vertex. 1 The directrix is units from the focus. The focus is the point The directrix of the equation is TE <​

Answers

Answer:

1. (3,-1)

2. Right

3. 3

4. 6

5. (6,-1)

6. x=0

Explanation: Took the test

Answer:

Step-by-step explanation:

Please help me out, right answers are favored ​

Answers

Answer:

y<_19x-11

Step-by-step explanation:

<_ it means less than and equal too hope it helps

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