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3 years ago

Which shows a difference of squares?

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

6 0

Answer:

The equations shows a difference of squares are:

Step-by-step explanation:

the difference of two squares is a squared number subtracted from another squared number, it has the general from Ax² - By²

We will check the options to find which shows a difference of squares.

1) 10y²- 4x²

The expression is similar to the general form, so the equation represents a difference of squares.

It can be factored as (√10 y + 2x )( √10 y - 2x)

2) 6y²- x²

The expression is similar to the general form, so the equation represents a difference of squares.

It can be factored as (√6y + x )( √6y - x)

3) 8x²−40x+25

The expression is not similar to the general form, so the equation does not represent a difference of squares.

4) 64x²-48x+9

The expression is not similar to the general form, so the equation does not represent a difference of squares.

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Twice the sum of a number and 5 is equal to three times the difference of the number and 2

Alexxx [7]

Answer:16

Step-by-step explanation:

Let the number be X

Twice the sum of a number and 5

= 2X+5

Three times the difference of the number and 2

= 3(X - 2)

Since Twice the sum of X and 5 is equal to three times the difference of the X and 2, This means

2(X + 5 )= 3(X - 2)

2X +10 = 3X - 6

3X -2X = 10 + 6 = 16

X = 16

Check

2×(16+5) =3×(16-2)

2×21 = 3×14

42 = 42

3 0

3 years ago

Solve 4x-2y=6 for x in terms for y

Elina [12.6K]

Answer:

x = 3 + y

Step-by-step explanation:

4x - 2y = 6

~Add 2y to both sides

2x = 6 + 2y

~Divide 2 to everything

x = 3 + y

Best of Luck!

5 0

3 years ago

Draw a line through the origin that has a slope of 4/3

Ket [755]

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>

In this problem the given line represent a proportional relationship, because passes through the origin

we have

$k=\frac{4}{3}$ ---> the constant of proportionality k is equal to the slope

substitute

The linear equation is

$y=\frac{4}{3}x$

To draw a line we need two points

we have (0,0)

To find the other point

assume x=3 and substitute in the equation to solve for y

$y=\frac{4}{3}(3)=4$

The other point is (3,4)

using a graphing tool

Plot the points (0,0) and (3,4)

To graph the line join the points

see the attached figure

6 0

3 years ago

Six times a number x and was added to 90 and the result is -42. What is the number

ANTONII [103]

According to the question,

6x + 90 = -42

The value of x.

<h3>Solution:</h3>

6x = -42 + 90

or, x = 48/6

or, x = 8

<h2>Answer:</h2>

The value of x is 8.

6 0

3 years ago

Answer for this one please

Andrej [43]

Y-12=28
Y=40 here you go

6 0

3 years ago