Which is a true statement?
A. m^2– n^2 = (m-n)(m-n)
B. m^2 + n² = (m + n) (m + n)
c. m^3 - n^3= (m - n) (m^2+ mn + n^2)
D. m^3+ n^3 = (m+n)(m^2 + mn +n^2)

Answer:

7x² - 8x + 4

Step-by-step explanation:

f(x) - g(x)

= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis by - 1

= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms

= 7x² - 8x + 4

Answer: 172.3ft

Step-by-step explanation:

Answer: D

Step-by-step explanation:

D The angle agacent to arc ML is half the degree. Your answer is 118

Answer:

D

Step-by-step explanation:

angle J is a circumference angle that insists on arc ML. the measure the angle  of this arc is double of it

59 * 2 = 118 degrees

the answer is in the attachment

Hope it helps

Answer:

option A

Step-by-step explanation:

[tex]\frac{x+ 3}{12x} \ \cdot \ \frac{4x}{x^2 +x - 6}\\\\= \frac{x+ 3}{12x} \ \cdot\ \frac{4x}{x^2 +3x - 2x - 6}\\\\= \frac{x+ 3}{12x} \cdot \frac{4x}{x(x + 3) -2(x+3)}\\\\= \frac{x+ 3}{12x} \cdot \frac{4x}{(x + 3)(x -2)}\\\\= \frac{1}{12x} \ \cdot \ \frac{4x}{(x - 2)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\\\= \frac{1}{3} \ \cdot \ \frac{1}{(x - 2)}\\\\= \frac{1}{3(x - 2) }[/tex]

Answer:

p = 1/2

Step-by-step explanation:

(4p - 1)^2 = 4p^2

(4p - 1)^2 =(2p)^2

4p - 1 =[tex]\sqrt{(2p)^2}[/tex]

4p - 1 =2p

4p - 2p =1

2p = 1

p =1/2

Answer:

$14

Step-by-step explanation:

Let Joe have $x

Then Nate would have $(x-5)

They both have $(x + (x-5)  which is equal to $43

                           $(x + x -5) = $43

                           $2x - $5 = $43

                            $2x = $(43 - 5)

                           $2x = $38

Divide both sides by $2

                               x = 19 (Joe has $19)

:. Nate has $(19 - 5) = $14.

Nate have 24 dollars.

Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

Suppose that Jo has x dollars of amount, and

Nate has y dollars of the amount

Given that Jo had $5 more than Nate and together they had $43

x + 5 = y  ,

x + y = 43,

Substitute the value of y in the equation x + y = 43,

x + 5 + x = 43

2x = 43 - 5

2x = 38

Divide both sides by 2

x = 19

Now substitute the value of y = 19 in the equation x = y +5,

So, y = 19 + 5

y = 24

Hence, Nate have 24 dollars.

Learn more about equation here:

brainly.com/question/10413253

#SPJ2

The answer is:

5.1 x [tex]10^-4[/tex]

Complete question is;

The shortest side of an isosceles triangle is 2x - 3 inches long. the longer sides are 6 inches longer than the shortest side. the perimeter of the triangle is 33 inches. what is the length of each side of the longer sides of the triangle.

Answer:

Shortest side = 7 inches

Side 2 = 13 inches

Side 3 = 13 inches

Step-by-step explanation:

We are told that;

Triangle is isosceles

The shortest side is 2x - 3 inches

The other 2 sides which are equal because it's an isosceles triangle are both 6 inches longer than the shortest side. Thus;

Side 2 = side 3 = 2x - 3 + 6 = 2x + 3

Since perimeter = 33 and sum of all 3 sides is the perimeter. Thus;

(2x - 3) + 2x + 3 + 2x + 3 = 33

6x + 3 = 33

6x = 33 - 3

6x = 30

x = 30/6

x = 5

Thus;

Shortest side = 2(5) - 3 = 7

Other 2 sides are each; 2(5) + 3 = 13

======================================================

Explanation:

h = number of hours past 7 pm

20h = the number of glasses sold after h hours

20h+180 = adding on the 180 glasses already sold

20h+180 > 240 is the inequality to set up

Let's solve for h

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

20h+180 > 240

20h > 240-180

20h > 60

h > 60/20

h > 3

They must remain open more than 3 hours past 7 pm in order to sell more than 240 glasses of juice.

The earliest that they can close is 11 pm (since 4+7 = 11).

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

If h = 3, then

20h+180 = 20*3 + 180 = 240

meaning that they haven't reached their goal of getting over 240

So they have to stay open that extra hour to get past 240.

Answer:

Only for question 1

Step-by-step explanation:

The answer is

When numbers with indices are being multiplied together, the indices act as if its being added together whereas if you multiply the indices together then it would multiply them all

Answer:

Solution set include (1,5), (1,4)

Step-by-step explanation:

To solve, you would have to graph both lines, and shade, the sections that are applicable. For Example is if it tells you the 2x+y is less than or equal to 8, you would shade it.

The Solution set would be anything in the overlapping area between both line's shades.

Answer:

1/12

Step-by-step explanation:

i belive this is the answer

Answer:

sum_of_interior_angles = (number_of_sides - 2) x 180° → if number_of_sides is 21: sum = (21 - 2) x 180° = 19 x 180° = 3420°

Step-by-step explanation:

Answer: 3420 degrees

Explanation: You use the formula 180(n-2) with n = 21 to find the answer above.

Answer:

distribute property

Step-by-step explanation:

5 is distributed into the parentheses.

5 × x = 5x

5 × (-7) = -35

5x - 35 = 55

Hope that helps.

The property used in step 1 to arrive at step 2 is the Distributive property, the correct option is A.

Product is the output of the mathematical operation Multiplication.

The Step 1: 5 (x minus 7) = 55.

Step 2: 5 x minus 35 = 55

In step 2 Distributive property is used to solve the expression.

According to Distributive property

The sum of multiplying a number by the addend of two numbers will the same result when each number which is being added is multiplied individually and then added.

a ( b+c) = a*b + a*c

5 (x -7) = 55.

5x - 35 = 55

Therefore, the distributive property is used.

To know more about Distributive Property

https://brainly.com/question/5637942

#SPJ5

Hoped that I helped you :)

Answer:

Step-by-step explanation:

Answer:

5=26

14=17

n=1

31n=31*1=31

Answer:

129

Step-by-step explanation:

[tex]\frac{5^{4} }{5} +4[/tex]

[tex]\frac{625 }{5} +4[/tex]

[tex]125 +4[/tex]

129

Answer: -2

Explanation:  On the image we can see it goes down 4 units and right 2. Giving us the slope [tex]\frac{-4}{2}[/tex]

Simplified that is -2 which is the slope of the line

Answer:

3/4 × 7/15 =7/20

just multiplication

Answer:

1400 ml is 66.67% of 2.1 L

To express one number as a percentage of another, form a fraction using these two numbers and multiply it by 100. Note that the number that is being expressed as a percentage is placed in the numerator of the fraction.

Answer: 32x-48 should be your answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

-4(-8x + 12)

= -4 × (-8x) + (-4) × 12

= 32x + (-48)

= 32x - 48 (Ans)

Answer:

1.6

Step-by-step explanation:

all u gotta do is divide 6.4 by 4:)

hope that helps!<3

Step-by-step explanation:

please, write the problem statement properly. it is not clear what you are asking for.

for example, the way how you wrote it, the first expression would be

58 × 5 - 6

and that would be (remember, multiplication and division happen before any additions or subtractions)

58 × 5 - 6 = 290 - 6 = 284

nothing on the right side of numbers fits to that.

so, I am speculating. did you mean

58 × (5-6) ?

in that case we get

58 × (5-6) = 58 × (-1) = -58

and then I assume that the right side of all the numbers includes also operations (like +, -, ...), as I see no -58 in the list of numbers.

and then I just propose that the right side could look like

-2×5 - 48 (which would also be -58).

but again, this could be something completely different.

so, please, write your problem statement again. and carefully.

Answer:

Concurrent as my perception

Answer:

Option (1)

Step-by-step explanation:

Given figure in the picture has two parallel sides and fulfilling the property of a trapezium.

Since, an isosceles trapezium contains two parallel sides and other pair of the sides are equal in length.

Therefore, the given trapezium can't be an isosceles trapezium.

Option (1) will be the correct option.

Answer:

8

Step-by-step explanation:

The median is 8 since 8 is the most common number