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erica [24]
3 years ago
7

Which shows a difference of squares?

Mathematics
2 answers:
borishaifa [10]3 years ago
7 0

Answer:

The expression which shows the difference  of squares is (16y)^{2}  - (x)^{2} .

Step-by-step explanation:

Here, the given expressions are :

1. (10y)^{2}  - (4x)^{2}\\2.(16y)^{2}  - (x)^{2}\\3. (8x)^{2}  - (4x + 25)\\4. (64x)^{2}  - (48x + 9)

Now, DIFFERENCE of SQUARES is an expression where one perfect square term is subtracted from another perfect square term.

And each difference of square can be expanded using algebraic identity

a^{2} - b^{2}  = (a-b)(a+b)

Now, here only the terms in expression 2 are perfect squares, as

(16y)^{2}  = (4y)^{2} =(-4y)^{2}  , (x)^{2}  = (x)^{2} =(-x)^{2}

Hence, the expression which shows the difference  of squares is (16y)^{2}  - (x)^{2} .

Also, here(16y)^{2} - (x)^{2}  = (4y-x)(4y+x)

kirill [66]3 years ago
3 0

Answer:

Option A and B.

Step-by-step explanation:

We need to find the expression which shows a difference of squares.

Difference of squares:

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

The given expression can be written as

10y^2-4x^2=(\sqrt{10}y)^2-(2x)^2

The expression 10y^2-4x^2 represents shows a difference of squares.

Second expression is

16y^2-x^2=(4y)^2-x^2

The expression 16y^2-x^2 represents shows a difference of squares.

Third expression is

8x^2-40x+25

It can not be written as difference of squares.

Fourth expression is

64x^2-48 x + 9

(8x)^2-2(8)(3) x + 3^2

(8x-3)^2

It can not be written as difference of squares.

Therefore, the correct options are A and B.

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jeka94

Answer:

shapes

Step-by-step explanation:

The patterns are shapes

8 0
3 years ago
1.Mr. Bowen’s test is normally distributed with a mean of 75 and a standard deviation of 3 points.
lianna [129]

Answer:

2.28%

Step-by-step explanation:

Mr. bowens test is normally distributed with a mean (μ) of 75 and a standard deviation (σ) of 3 points.

The z score is used in probability to show how many standard deviation is a raw score below or above the mean. The formula for the z score (z) is given by:

z=\frac{x-\mu}{\sigma}

For a raw score (x) of 81 points, the z score can be calculated by:

z=\frac{x-\mu}{\sigma}=\frac{81-75}{3}=2

Therefore from the normal probability distribution table, the probability that a randomly selected score is greater than 81 can be given as:

P(x > 81) = P(z > 2) = 1 - P(z < 2) = 1 - 0.9772 = 0.0228 = 2.28%

7 0
3 years ago
Is it A B C D Pls tell me ​
Mamont248 [21]

love Scenes That Went Too Far

7 0
3 years ago
Read 2 more answers
A piggy bank contains pennies, nickels, and dimes. The number of dimes is 15 more than the number of nickels, and there are 140
amm1812

Answer:

Option D is correct.

There are 34 nickels in the piggy bank.

Step-by-step explanation:

A piggy bank contains pennies, nickels and dimes.

Let the number of pennies be p

Let the number of nickels be n

Let the number of dimes be d

Also, note that 1 penny = $0.01

1 nickel = $0.05

1 dime = $0.10

- The number of dimes is 15 more than the number of nickels.

d = 15 + n

- There are 140 coins altogether totaling $7.17.

p + n + d = 140

0.01p + 0.05n + 0.1d = 7.17

Bringing the 3 equations together

d = 15 + n (eqn 1)

p + n + d = 140 (eqn 2)

0.01p + 0.05n + 0.1d = 7.17 (eqn 3)

Substitute (eqn 1) into (eqn 2)

p + n + d = 140

p + n + (15 + n) = 140

p + 2n + 15 = 140

p = 140 - 15 - 2n = 125 - 2n

p = 125 - 2n (eqn 4)

Substitute (eqn 1) and (eqn 4) into (eqn 3)

0.01p + 0.05n + 0.1d = 7.17

0.01(125 - 2n) + 0.05n + 0.1(15 + n) = 71.7

1.25 - 0.02n + 0.05n + 1.5 + 0.1n = 7.17

0.1n + 0.05n - 0.02n + 1.5 + 1.25 = 7.17

0.13n + 2.75 = 7.17

0.13n = 7.17 - 2.75 = 4.42

0.13n = 4.42

n = (4.42/0.13) = 34

d = 15 + n = 15 + 34 = 49

p = 125 -2n = 125 - (2×34) = 125 - 68 = 57

Hence, there are 57 pennies, 34 nickels and 49 dimes in the piggy bank.

Hope this Helps!!!

7 0
3 years ago
Pleaseee help im so behind, i also need an explanation for it :(
snow_lady [41]

Answer:The first one should be it Dont trust me

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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