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Rina8888 [55]
2 years ago
7

Explain why please and make sure it is in full detail

Mathematics
2 answers:
Marysya12 [62]2 years ago
8 0

Step-by-step explanation:

well,

(y - 7)² = (y - 7)(y - 7)

remember how to multiply 2 expressions ?

you have to multiply every term of one expression with every term of the other expression and sum the results all up (incl. considering their individual signs, of course).

so, when we do the multiplication, we get

(y - 7)(y - 7) = y×y - 7×y - 7×y + (-7)×(-7) =

= y² - 14y + 49

and that is clearly different to y² - 49

FYI

y² - 49 is the result of

(y - 7)(y + 7)

because

y×y + 7×y - 7×y + (-7)(7) = y² - 49

Bumek [7]2 years ago
6 0

Answer:

The exponent of an expression says how many times to multiply the expression.

\implies (y-7)^2=(y-7)(y-7)

Expand the brackets:

=y^2-7y-7y+49

Combine like terms:

=y^2-14y+49

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

y^2-49=(y+7)(y-7)

Using "Difference of Two Squares" a^2-b^2=(a+b)(a-b)

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A rectangle has a perimeter of 30 inches if the width is 3 times it’s length find it dimension
kakasveta [241]

Answer:

Length = 11.25 and width = 3.75 inches.

Step-by-step explanation:

You must mean that the length is 3 times its width.

If the the width is x then the length is 3x inches.

Perimeter = 2*length + 2*width.

2(3x) + 2x = 30

6x + 2x = 30

8x = 30

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7 0
3 years ago
Find all solutions of the given system of equations (If the system is infinite many solution, express your answer in terms of x)
lisov135 [29]

Answer:

(a) The system of the equations \left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right. has no solution.

(b) The system of the equations \left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right. has many solutions y=\frac{2x}{3}-\frac{5}{3}

Step-by-step explanation:

(a) To find the solutions of the following system of equations \left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right. you must:

Multiply 2x-3y=3 by 2:

\begin{bmatrix}4x-6y=6\\ 4x-6y=3\end{bmatrix}

Subtract the equations

4x-6y=3\\-\\4x-6y=6\\------\\0=-3

0 = -3 is false, therefore the system of the equations has no solution.

(b) To find the solutions of the system \left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right. you must:

Isolate x for 4x-6y=10

x=\frac{5+3y}{2}

Substitute x=\frac{5+3y}{2} into the second equation

16\cdot \frac{5+3y}{2}-24y=40\\8\left(3y+5\right)-24y=40\\24y+40-24y=40\\40=40

The system has many solutions.

Isolate y for 4x-6y=10

y=\frac{2x}{3}-\frac{5}{3}

3 0
3 years ago
The _____ in the hundreds place has a value ____ times as great as the _____ in the _____ place. 440
solong [7]

Answer:

The 4 in the hundreds place has a value 10 times as great as the 4 in the tens place.

Step-by-step explanation:

440 = 400 + 40 + 0

the hundreds place is worth 400 here

it is worth 10x the tens place (40 here)

5 0
3 years ago
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