We can plug in the ordered pair (6,-1) into the equation. Remember that 6 is the x coordinate therefore we plug it in for x and that -1 is the y coordinate so we should plug it in for y.

6x+3y=6(6)+3(-1)=36-3=33

Since 33 is not equivalent to 15, (6, -1) is not a solution to the equation.

3 0

1 year ago

The perimeter of a rectangle is 30 cm and its length is x cm. Find its area in terms of x. step by step explanation.

mars1129 [50]

Answer:

The area of the rectangle in terms of 'x' = 13x

Step-by-step explanation:

Perimeter = 30 cm

Length = x cm

Using the perimeter formula to find the width w.

$P=2(l+w)$

$P = 2l + 2w$

$2w = P-2l$

Dividing both sides by 2

$w\:=\:\frac{P}{2}-2$

as P = 30 cm

$w\:=\:\frac{30}{2}-2$

$w\:=\:15-2$

$w = 13$ cm

Using the formula of the rectangle area

$A = wl$

substitute w = 13 and l = x in the formula

$A=13\times \:x$

$A = 13x$

Therefore, the area of the rectangle in terms of 'x' = 13x

7 0

2 years ago

Use the identity a^3+b^3=(a+b)^3−3ab(a+b) to determine the sum of the cubes of two numbers if the sum of the two numbers is 4 an

olga55 [171]

Your identity says ...

... sum of cubes = (sum)³ -3(product)(sum)

... = 4³ -3·1·4

... = 64 -12 = 52

_____

The two numbers are 2±√3, and the sum of their cubes is indeed 52.

3 0

2 years ago

Which interval represents the most number of students?

vazorg [7]

Uhhh... idk. Picture plz

5 0

2 years ago