Expand using identities:
(i) (2x- 5y)²
(ii) (11a + 2) (11a – 2)
(iii) (7m + 3) (7m + 3)

Answers

Answer 1

Answer:

Step-by-step explanation:

(2x-5y)^2

(2x-5y)(2x-5y)

4x^2-10xy-10xy+25y^2

4x^2-20xy+25y^2

------------------------------

(11a+2)(11a-2)

121a^2+22a-22a-4

121a^2-4

------------------------------

(7m+3)(7m+3)

49m^2+21m+21m+9

49m^2+42m+9


Related Questions

The sum of the numbers is 66. The larger number is 16 more than the sanaller number, What are the numbers

Larger number: Smaller number:

Answers

Answer:

S 25, L 41

Step-by-step explanation:

Small + Large = 66

Large = Small + 16

s + (s + 16) = 66

2s + 16 = 66

2s = 50

s = 25

25 + Large = 66

Large = 41

Find the sum. 2/5(d-10)-2/3(d+6)

Answers

Answer:

-4d

Step-by-step explanation:

L.c.m=15

15×2/5(d-10)-2/3×15(d+6)

3×2(d-10)-2×5(d+6)

6(d-10)-10(d+6)

6d-60-10d-60

6d-10d-60-60

-4d-0

-4d

Date: Pages of * The current ratio of a business is the ratio of its current assets to its current labilities. After consulting with the comptroller, the president of Ace sports equipment company decides to take out a short-term loan to build up inventory. The company has current assets of $350,000 and current labilities of $ 80,000. How much can the company borrow if the current ratio is to be no less than 2.5?

Answers

Answer:

this is wrong answer

Step-by-step explanation:

Melllissa owns 4 sets of jewelry. Each set contains 2 earrings, 1 neckles, 1 bracelet, 1 ring. How many pieces of jewelry does Melissa have all together?

Answers

Answer:

The answer is to the problem is 18.

(x+1)/(x+2)=3/4
Solve the equation​

Answers

4(x+1)=3(x+2)

4x+4=3x+6

4x-3x=6-4

X=6-4

Answer is X=2

QUESTION 3. ANSWER CHOICE'S ARE THE SECOND PICTURE. PLEASE ANSWER ALL I WILL GIVE BRAINLEST

Answers

Answer:

1. The cost of the fencing material for each side of the playground.

2. The perimeter of the park

3. The labor fee

4. The cost of the fencing material for the whole park.

Step-by-step explanation:

Hope this helps! :)

what is the equation of the circle graphed. ​

Answers

Answer:

Since the logarithmic function is define for ×>-3,thus,the graph has a vertical asymptote at ×=-3.

how can 26n-7m+4(10n-6m)

Answers

Answer:

66n-31m

Step-by-step explanation:

26n-7m+4(10n-6m)

26n-7m+40n-24m

66n-31m

The question in the picture​

Answers

1/27

Explanation:

You would multiply to get to the answer.                                                                                    

It’s blurry?…. Better picture

Help help math math math math

Answers

Answer:

y= [tex]\frac{3}{2}[/tex]x -1

Step-by-step explanation:

To find slope I first found the two points on the graph which were (0, -1) and (2, 2). Then I used rise over run to find the slope the point went up 3 units and to the right two units.

then to find the y intercept I found a pint of the graph where the line had passed through the y-intercept line on the graph which just so happened to be -1.

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

Answer:

y = 3/2 - 1

Step-by-step explanation:

First let's take two coordinates in the line.

( 2 , 2 )     ( 0 , -1)

You can use y = m x + c to find the equation of the line.

Here,

m → slope

c  → y - intercept

( 2 , 2 )                ( 0 , -1)

 ↑  ↑                    ↑  ↑

( x1 , y1 )            ( x2 , y2 )

First let's find the slope of the line.

m = ( y1 - y2) / ( x1 - x2)

m = ( 2 - (-1) ) / (2 - 0 )

m = ( 2 + 1 ) / 2

m = 3 / 2

Now let's find the y - intercept of the line.

For that, let's use ( 0 , -1 ) coordinate

y = m x + c

y = 3/2 × 0 - 1

y = 0 - 1

y = ( - 1 )

Therefore, the equation of the line is,

y = 3/2x - 1

Hope this helps you :-)

280 is 72% of what number?

Answers

Answer:

389

Step-by-step explanation:

MARK BRAINLIEST PLEASE

Molly went to play miniature golf on Monday, when it cost $7 to rent the club and ball, plus $1 per game. Sharon went Thursday, paying $2 per game, plus rental fees of $4. By coincidence, they played the same number of games for the same total cost. How much did each one spend?

Answers

Answer:

Molly played 4 games

PLS HELP!
For which value of x does each expression make sense:

(square root) -2x^2

(square root) (-2x)^3

(square root) (-2x)^2

Answers

The value of x must be less than zero for the expression to make sense

The value of x must be less than zero for the expression to make sense

The value of x must be greater than zero for the expression to make sense

For each of the expressions to make sense, the values inside the square root must be greater than zero.

For the expression [tex]\sqrt{-2x^2}[/tex]

-2x^2 > 0

x^2 < 0/-2

x^2 < 0

x < 0

The value of x must be less than zero for the expression to make sense

For the expression [tex]\sqrt{(-2x)^3}[/tex]

(-2x)^3 > 0

-8x^3 > 0

x^3 < 0/-8

x^3 < 0

x < 0

The value of x must be less than zero for the expression to make sense

For the expression [tex]\sqrt{(-2x)^2}[/tex]

(-2x)^2 > 0

2x^2 > 0

x^2 > 0

x > 0

The value of x must be greater than zero for the expression to make sense

Learn more on inequality here: https://brainly.com/question/24372553

HELPPPP ASAPPPPPPPPPPPP

Answers

Answer:

C

Step-by-step explanation:

Solve this plz question plz​

Answers

We have: [tex](-\frac{15}{18})[/tex] ÷ [tex](-\frac{20}{24})[/tex] = [tex]\frac{-15}{18} .\frac{-24}{20} = \frac{(-3)(5).(-4)(6)}{(3)(6).(4)(5)} = 1[/tex]

ANSWER: 1

ok done. Thank to me :>

Answer:

1

Step-by-step explanation:

[tex]( - \frac{15}{18} ) \div ( - \frac{20}{24} ) \\ now \: you \: have \: fraction \: divided \: by \: fraction \: then \: do \: reciprocal \: \\ ( - \frac{15}{18} ) \times ( - \frac{24}{20} ) \\ = 1[/tex]

Which inequality matches the graph?

Answers

Answer:

x < 2/3 y + 2 1/3

Step-by-step explanation:

put it in a graphing calculator and they matched, I do not know

for 0 ≤ θ < 2 π what are the solutions to sin^2(θ) =2sin^2(θ/2)

Answers

Answer:

Option A: [tex]\{0,\frac{\pi}{2},\frac{3\pi}{2}\}[/tex]

Step-by-step explanation:

[tex]sin^2(\theta)=2sin^2(\frac{\theta}{2}), [0,2\pi)[/tex]

[tex]sin^2(\theta)=2sin^2(\frac{\theta}{2})[/tex]

[tex]sin^2(\theta)=2sin(\frac{\theta}{2})sin(\frac{\theta}{2})[/tex]

[tex]sin^2(\theta)=2(\sqrt{\frac{1-cos(\theta)}{2}})(\sqrt{\frac{1-cos(\theta)}{2}})[/tex]

[tex]sin^2(\theta)=2(\frac{1-cos(\theta)}{2})[/tex]

[tex]sin^2(\theta)=\frac{2-2cos(\theta)}{2}[/tex]

[tex]sin^2(\theta)=1-cos(\theta)[/tex]

[tex]1-cos^2(\theta)=1-cos(\theta)[/tex]

[tex]-cos^2(\theta)=-cos(\theta)[/tex]

[tex]cos^2(\theta)=cos(\theta)[/tex]

[tex]cos^2(\theta)-cos(\theta)=0[/tex]

[tex]cos(\theta)[cos(\theta)-1]=0[/tex]

[tex]cos(\theta)=0[/tex]

[tex]\theta=\frac{\pi}{2},\frac{3\pi}{2}[/tex]

[tex]cos(\theta)-1=0[/tex]

[tex]cos(\theta)=1[/tex]

[tex]\theta=0[/tex]

Therefore, the solutions contained within the interval are [tex]\{0,\frac{\pi}{2},\frac{3\pi}{2}\}[/tex]

Helpful Tips:

Half-Angle Formula: [tex]sin(\frac{\theta}{2})=\pm\sqrt{\frac{1-cos(\theta)}{2}}[/tex]

Pythagorean Identity: [tex]sin^2(\theta)+cos^2(\theta)=1,sin^2(\theta)=1-cos^2(\theta),cos^2(\theta)=1-sin^2(\theta)[/tex]

[tex]\sin^2 \theta = 2 \sin^2 \left(\dfrac{\theta}2 \right)\\\\\implies \sin^2 \theta = 1- \cos 2 \cdot \dfrac{\theta}2\\\\\implies \sin^2 \theta = 1- \cos \theta \\\\\implies 1-\cos^2 \theta = 1 - \cos \theta \\\\\implies -\cos^2 \theta - \cos \theta = 0\\\\\implies \cos^2 \theta - \cos \theta = 0\\\\\implies \cos \theta( \cos \theta -1) = 0\\\\\\\text{Now,}\\\\\cos \theta = 0\\\\\implies \theta = n\pi + \dfrac{\pi}2\\\\\text{For n = 0,1 and}~ [0.2\pi)\\\\[/tex]

[tex]\theta = \dfrac{\pi}2, \dfrac{3\pi}2[/tex]

[tex]\text{Again,} \\\\\cos \theta -1= 0\\\\\implies \cos \theta = 1\\\\\implies \theta = 2n\pi\\\\\text{For n= 0 and}~ [0,2\pi)\\\\\theta = 0\\\\\text{Combine solutions,}\\\\\theta = 0, \dfrac{\pi}2, \dfrac{3\pi}2[/tex]

2. Scholarships The probability that Samantha will be accepted by the college of her choice and
obtain a scholarship is 0.35. if the probability that she is accepted by the college is 0.65.
Find the probability that she will obtain a scholarship given that she is accepted by the college.
(4 pts)

Answers

The probability that she will obtain a scholarship given that she is accepted by the college is 0.54.

Given that the probability that Samantha will be accepted by the college of her choice and obtain a scholarship is 0.35, to determine, if the probability that she is accepted by the college is 0.65, the probability that she will obtain a scholarship given that she is accepted by the college, the following calculation must be performed:

0.65X = 0.35 X = 0.35 / 0.65 X = 0.538

Therefore, the probability that she will obtain a scholarship given that she is accepted by the college is 0.54.

Learn more about maths in https://brainly.com/question/26075432

1/3 of 3 please help I'll give 20 points​

Answers

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The point (3, 3) is in what quadrant? 2,1,3,4

Answers

Answer:

1

Step-by-step explanation:

(3,3) has a positive x value and a positive y value which means it is in the first quadrant

Suppose a group of 100 women aged 60-64 got a new flu vaccine in 2004, and 5 of them died the following year. Is this event unusual? Specifically, how likely is it that at least 5 out of 100 women aged 60 to 64 who get the flu vaccine will die within the next year? Know the chance of dying of a woman aged 60-64 getting a new flu vaccine in the next five years is 0.009.

Answers

Therefore, the probability that at least 5 out of 100 women aged 60 to 64 who get the flu vaccine will die within the next year is 0.0000000059049%, making the event absolutely unusual.

Given that a group of 100 women aged 60-64 got a new flu vaccine in 2004, and 5 of them died the following year, to determine if this event is unusual, and specifically, how likely is it that at least 5 out of 100 women aged 60 to 64 who get the flu vaccine will die within the next year knowing that the chance of dying of a woman aged 60-64 getting a new flu vaccine in the next five years is 0.009, the following calculation must be performed:

0.009 x 0.009 x 0.009 x 0.009 x 0.009 = X 0.000000000059049 = X 0.000000000059049 x 100 = X 0.0000000059049% = X

Therefore, the probability that at least 5 out of 100 women aged 60 to 64 who get the flu vaccine will die within the next year is 0.0000000059049%, making the event absolutely unusual.

Learn more about maths in https://brainly.com/question/14696440

What system the system that is made up of the heart,blood, and blood vessels is called the ____ this is for sceince but i cant find sceince

Answers

Answer:

Cardiovascular system

Step-by-step explanation:

For f(x) = 2(6)*, find y when x=2.
f(2)=

Answers

Answer:

I believe it is f(2) = 12

Step-by-step explanation:

I don't know if the * symbol is supposed to be an x but if it is, it would be 12x instead of 12.


Help please and thanks

Answers

Answer:

Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]

Step-by-step explanation:

Consider the figure

We have

[tex]\begin{aligned}&\frac{d x}{d t}=\text { rate of person walking } \\&\frac{d y}{d t}=\text { rate of change of shadow length } \\&\frac{d x}{d t}+\frac{d y}{d t}=\text { rate of change of tip of shadow }\end{aligned}[/tex]

[tex]\begin{aligned}&\frac{6}{20}=\frac{y}{x+y} \\&6(x+y)=20 y \\&6 x+6 y=20 y \\&6 x=14 y\end{aligned}[/tex]

[tex]6\left(\frac{d x}{d t}\right)=14\left(\frac{d y}{d t}\right)\\\\6(5)=14\left(\frac{d y}{d t}\right)\\\\\frac{30}{14}=\frac{d y}{d t}\\\\\frac{15}{7}=\frac{d y}{d t}\\\\[/tex]

Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]

#6) Find the value of x. Be sure to show your work. ​

Answers

The answer is x=70

My work below in the picture

Two parallel lines are cut by a transversal, as shown below. Solve for b. Then explain your reasoning.

Answers

Answer:

b = 14

Step-by-step explanation:

Since both angles are diagonal each other, they are equal to each other.

5b = b + 56

-b      -b           (subtract b from both sides)

4b = 56

4       4            (divide both sides by 4 to solve for b)

 b = 14

Evaluate 40x40x402x2x2

Answers

Answer:

2,572,800

Step-by-step explanation:

I hope this helps!

Answer: 40 x 40 x 402 x 2 x 2 =128,640

How do you multiply a fraction and a whole number? Please explain step by step to get marked as brainliest!

Answers

Multiply the numerators then multiple the denominators

Answer: 1 1/2 x 4 4/7

= 3/2 x 32/7

= 96/14

Step-by-step explanation:

1. Write the whole number as a fraction with a denominator of 1.

2. Multiply the numerators.

3. Multiply the denominators

4. Simplify. If needed, if your answer is greater than 1, you may want to write your answer as a mixed number.

what is an equation of the line that passes through the point (3, -8) and has slope -2?

Answers

Answer:

Step-by-step explanation:

slope of -2 means the slope is -2/1

from (3, - 8) you can find the y intercept by going backwords until x = 0

(2,-6)

(1,-4)

(0,-2)

so the y intercept is -2

y = -2x - 2

Use the following table to answer the questions below. Give your probabilities as DECIMALS rounded to the hundredths place.
Fair Hair
Dark Hair
Blue Eyes
8
5
Other
7
10
Jamie investigated hair and eye color.
One of the people is chosen. Calculate the probability of choosing
a. Someone with Blue eyes
b. Someone with fair hair and blue eyes
A person with dark hair is chosen. Calculate the probability of
1. them having blue eyes.
2. them not having blue eyes

Answers

Answer: 1 =.43, 2=.26, 3=.16 4=.33

Step-by-step explanation: So to find all these answers we have to know the total number of people in the chart 30. Then we have to find what info we need from the chart and divide it by the total number of people. I hope this helped I tried to make it simple.

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