Agroup of students is given a 10 by 10 grid to cut into individual unit squares. the challenge is to create two squares using all of the unit squares. their teacher states that after the two new squares are formed, one should have a side length two units greater than the other.

which equation represents x, the side length of the greater square?

x2 + (x – 2)2 = 10
x2 + 2x2 = 10
x2 + (x – 2)2 = 100
x2 + 2x2 = 100

Step-by-step explanation:

Given,

The measurement of the grid = 10 × 10

So, the area of the grid = 100 square unit,

Now let x be the side of larger square that is formed by the grid,

Thus, according to the question,

The side of smaller square = (x-2) unit,

Hence, we can write,

The area of square having side x + The area of square having side (x-2) = The total area covered by grid

Which is the required equation.

quit

step-by-step explanation:

the speed is   miles per hour > is false

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 or

in a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

the graph shown in the figure represent a direct variation

the slope of the line represent the speed

for the point

substitute the values of x and y

the linear equation is equal to

statements

case a) it takes hours to go miles

the statement is true

because

substitute

for

find the value of y in the linear equation

> is correct

case b) the speed is   miles per hour

the statement is false

because the speed is

case c) the unit rate for the trip is

the statement is true

because the speed is equal to the slope of the linear equation

case d) it took minutes to go the first miles

the statement is true

because

substitute

for

find the value of y in the linear equation

> is correct