Which of the equations are true identities?
A. (9k – 8)(9k + 8) = 81k2 + 64
B.(3m +2n)(6m – 4n) = 18m²
18m2 – 8n?
Choose 1 answer:

Answers

Answer 1

Answer:

We have two expressions, let's see if they are true or not:

A: (9k - 8)*(9k + 8) = 81*k^2 + 64

To prove this, we only need to start in the left side and see if we can construct the right side:

(9k - 8)*(9k + 8) = (9k)*(9k) + (9*k)*8 - (9k)*8 + 8*(-8)

                         = (9k)^2 - 8^2

                         = 9^2*k^2 - 64  = 81*k^2 - 64

This is different than the thing in the original equation, then this one is not an identity.

B) (3m +2n)(6m – 4n) = 18m^2 – 8n

Same as before, we start at the left side and work it out.

(3m + 2n)*(6m - 4n) = (3m)*(6m) + (3m)*(-4n) + (2n)*(6m) + (2n)*(-4n)

                                = 18*m^2  -12*m*n + 12*m*n - 8*n^2

                                = 18*m^2 - 8*n^2

Notice that here we have an "n^2" while in the original equation we have only an "n".

This may be an error in the question and the exponent is missing, in that case, this equation would be an identity, but it is not as how is written in the question.

Then neither A nor B are correct.

Answer 2

Answer:

only b

Step-by-step explanation:


Related Questions

what is -8(×+2)+2(×-1)=​

Answers

Answer:

-8x-16+2x-2

-4x = 18

x= -4.5 or -4 1/2

Step-by-step explanation:

Please someone help me with this math problem

Answers

Answer:

I would say A, and D

Is(1, 9)a solution to the inequality y ≤ 6x + 2?

Answers

Answer:

nope

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

It wouldn't be 1,9 it would 1,8 instead also if need help with those an app called desmos helps a lot

Lazare is dividing 52.8 ounces of cereal equally into 9 bags. Which is the best way to estimate the amount of cereal in each bag?

Answers

If I'm not mistaken it's 5.9

Estimate amount of cereal in one bag is 5.867 ounces.

What are mathematical operations?

Calculate the answer using a math operator is referred to as a mathematical operation.

Basic mathematical operations are addition, multiplication, subtraction and division.

Total quantity of cereal that Lazare has = 52.8 ounces.

And number of bags into which cereal equally divides = 9

To find the amount of cereal in each bag,

Use mathematical operations,

Since, total bags are 9 and amount of cereal is 52.8 ounces.

So, in one bag amount of cereal = 52.8 / 9 = 5.8666 = 5.867

In one bag there will be 5.867 ounces of cereal.

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3z squared minus 6z if z = 5

Answers

Answer:

45

Step-by-step explanation:

Given

3z² - 6z ← substitute z = 5 into the expression

= 3(5)² - 6(5)

= 3(25) - 30

= 75 - 30

= 45

Answer:

Step-by-step explanation:

First, convert the z’s to numbers.

3(5) squared - 6(5)

do the squared first

3(25)-6(5)

multiply

75-30=45

Answer:45

Lines l and m are parallel and a and b are parallel. Find the measure of angle 10 if measure of angle 1 is 62.

please help

Answers

well since the lines l and m are straight, their measures would be 180. So if you subtract 62 from 180 you'd get angle 2=118. since angles 2 and 10 are the same angle, 10 would also have a measure of 118

Basically ur answer is angle 10=118

Which is the least common multiple of 8 and 16?​

Answers

Answer:

The awnser is 2

Step-by-step explanation:

Your answer would be 2

Work out − 5 × ( − 8 )

Answers

negatives cancel out each other so 5x8 which is 40
answer: 40x
explanation: cross out the negatives then multiple 5x x8 which will be 40x

Emily makes 75 pins to sell at the schools craft fair. she has two designs: a star and a bumblebee. she makes 2 pins for every 3 bumblebee pins. how many pins of each type does Emily make?​

Answers

30 star pins

45 bumblebee pins

hope this is correct !!

What value(s) of z makes the equation 7/6 Z + 1/3 = -5 / 6 true; Z = -1, Z= 2, Z= 1, or Z= -36 / 63?

Answers

Answer:

Z = -1

Step-by-step explanation:

to find which value of Z makes the equation true substitute each value of Z into the equation.

Z = -1

7/6(-1) + 1/3 = -5/6

-5/6=-5/6

all other values of Z will not give u an equal statement

Given a circle with endpoints of a diameter at-10 -1i and 6 + 11i, answer the questions below.
1. The center of the circle is at -2 +5i
2. The radius of the circle has a length of ___ units. ​

Answers

Answer: 10

Step-by-step answer:

Answer:

10

Step-by-step explanation:

I don't actually know how to find it, but that was the right answer on edge

Your friend thinks that the equation k-3.5=21, is he correct? explain.

Answers

Answer:

This could be correct in the case and only if k would equal 24.5 so only in that case

Step-by-step explanation:

Evaluate 8y - 2k when y = 9 and k = 7

Answers


Answer:
58

Explanation:


8(9)-2(7)
72-14
=58

Hope this helps!!

Nyla incorrectly added the fraction 2/3,1/2 and 5/12 she said that to add fractions with different denominators you use the common denominator and add the numeratorsWhat is Nyla’s mistake?

Answers

Answer:

The denominators are not equal.

Step-by-step explanation:

Which equation represents a line that passes through (0,–8) and (–5,–23)?

A) y = 4x – 8

B) y = –8x + 3

C) y = 5x – 8

D) y = 3x – 8

Answers

The equation of line that passes through points (0,-8) and (-5,-23) is y=3x-8 which is option d.

Given that the line passes through (0,-8) and (-5,-23).

We are required to find the equation of the line that passes through (0,-8) and (-5,-23).

Equation is like a relationship between two or more variables expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation, quadratic equation, cubic equation, and many more depending on the power of the variable.

The formula to form the equation from two points is as under:

[tex](y-y_{1}) =(y_{2} -y_{1} )/(x_{2} -x_{1} ) * (x-x_{1} )[/tex] in which [tex](x_{1} ,y_{1} ),(x_{2} ,y_{2} )[/tex] are the points.

(y+8)=(-23+8/-5-0)(x-0)

y+8=(-15/-5) x

y+8=3x

y=3x-8

Hence the equation of line that passes through points (0,-8) and (-5,-23) is y=3x-8 which is option d.

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which of the following systems of equations would have infinitely many solutions?

y=4x-1 and 4x+5
y=x and y=0
y=2x-1 and y=2x-1
y=3x-2 and y=2x-3​

Answers

9514 1404 393

Answer:

  (c)  y = 2x-1 and y = 2x-1

Step-by-step explanation:

A system of equations in which both equations describe the same line will have infinitely many solutions (all points on that line).

The same line is (obviously) described by the (identical) equations ...

  y = 2x-1 and y = 2x-1

Please hurryyyyyyyyyyyy

Answers

Answer:

(x^2+10)^2

Step-by-step explanation:

Answer:

hey! you could always use m athway or p hotomath for this (:

Haley has $84, which is 7 times as much money as Kevin has. How much money does Kevin have? Select the correct solution method, using x to represent Kevin's money.​

Answers

x*7=84
84/7=x
12=x
Kevin has 12$

simplify 3x × x
thanks​

Answers

Answer:

3x^2

Step-by-step explanation:

PLEASE DUE IN 20 MINUTES!!!!!!


Write the quadratic function in standard form.
f(x) = (x + 14)2

Answers

Answer:

Step-by-step explanation:

It's essential that you use the symbol " ^ " to indicate exponentiation.

Expanding f(x) = (x + 14)^2 results in x^2 + 28x + 196 (which is in standard form)

The scale of a square map indicates that each inch on the map
corresponds to 5 miles. Write an expression that describes the area of
land shown on the map. If the map is 8 inches on one side, what is the
area of land shown on the map?

Answers

Answer:

Area of land: 800 miles.

Step-by-step explanation:

Since the map is a square, you can assume that all 4 sides will equal 8 inches. (Giving you a perimeter of 32, and an area of 64.) Since each inch corresponds to 5 miles, you multiply 8 by 5 which equals 40.

3x + x - 7 = 10

What does x=

Answers

First you add 3x+x because they are like terms.

3x+x-7=10  

Your New Simplified Equation:

4x-7=10  

Now, you have to take out the -7 by adding a positive 7. Also you                          have to add +7 on the other side so add 7 to 10.

Your New Simplified Equation:

4x=17      Now, you divide both sides by 4.

Your New Simplified Equation:

x= 17/4 So, that's your answer :)


Can y’all help me on 23?!

Answers

So if the ratio of red to blue is 8:3 and there are 15 blue cars then there are 40 red cars.
If the ratio of red to white is 2:10 then then there are 200 white cars.

Explanation:
15 divided by 3 is 5. So you multiply 8 by 5 to get 40. 40:15 reduces to 8:3.

With 40 red cars the ratio of 2:10 would be made into 40:200.

The fractions/ratios have to remain proportional.

I need help!!! I’ll mark you brainliest
This is timed!!

Answers

D. 19

put 3 inside g

4(3) = 12

put 12 inside f(x)

2(12) - 5 = 19

So the answer is 19

Answer:

f

(

g

(

x

)

)

Evaluate  

f

(

x

+

3

)

by substituting in the value of  

g

into  

f

.

f

(

x

+

3

)

=

2

(

x

+

3

)

1

Simplify each term.

Tap for more steps...

f

(

x

+

3

)

=

2

x

+

6

1

 

Subtract  

1

from  

6

.

f

(

x

+

3

)

=

2

x

+

5

Step-by-step explanation:

what answer is equal to -3(x-6)?

Answers

C is the correct answer

A spinner is split in to six equal sections with the sections colored as labeled in the drawing
Emily rolls a number cube labeled 1-6 and spins the spinner

What is the probability of Emily rolling a 5 and spinning a yellow?​

Answers

Answer: 1/18

Step-by-step explanation:

Answer:

the answer is 1/36

Step-by-step explanation:

because 1/6 times 1/6 is equal to 1/36

What is the value of y? Show you’re work

Answers

Answer:

Y = 32

Step-by-step explanation:

First traingle is 180 degrees

So 180 - 52 = 128

Then 2y + 2y = 4y

So now 128/4 = 32

If you wanna checl ur answer just put the number in and check if it equal to 180

Which of the following is equivalent to 5 • (7 • 4)?

Answers

Answer:

Its (5 x 7) x 4

Step-by-step explanation:

5 x (7 x 4)

5 x (28)

140

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

(5 x 7) x 4

(35) x 4

140

Beverly used 2.4 yards of ribbon on the border of a quilt. If each side used 0.6 yard of ribbon, how many sides did she use the ribbon on? Draw models to help you divide.

Answers

Answer: She used 4 sides.

Step-by-step explanation:

2.4 ÷ 0.6 = 4

A first number is four more than seven time a second. The sum of the number is 92. Find the number.​

Answers

Answer:

11

81

Step-by-step explanation:

x = 7y + 4

x + y = 92

Solve for x in the second equation

x = 92 - y

92 - y = x

Equate the 2 xs

92 - y = 7y + 4         Add y to both sides

92 = 7y+y + 4          Combine

92 = 8y +  4             Subtract 4 from both sides

88 = 8y                    Divide by 8

88/8 = y

y = 11

===========

x = 7y + 4

x = 77 +4

x = 81

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