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3 years ago

8

Can you conclude that the figures are congruent? Justify your answers.

1 answer:

Fantom [35]3 years ago

4 0

Since I can’t see the figure I would have to assume that if they are the same shape and size then, yes they’re congruent.

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Which of the following would best be solved using factoring the difference of squares? 2² + 3x - 10 = 0 O 3r² + 12x = 8 2³ +52²

IgorC [24]

Given: Different equations

To Determine: Which would be best solved using difference of two squares

Solution

The factorization of a difference of two squares is given below

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

Let us examine each of the given equation

$\begin{gathered} x^2+3x-10=0 \\ x^2-2x+5x-10=0 \\ x(x-2)+5(x-2)=0 \\ (x-2)(x+5)=0 \end{gathered}$ $\begin{gathered} 3x^2+12x=8 \\ 3x^2+12x-8=0 \end{gathered}$ $\begin{gathered} x^3+5x^2-9x-45=0 \\ x^2(x+5)-9(x+5)=0 \\ (x+5)(x^2-9)=0 \\ x^2-9=x^2-3^2=(x+3)(x-3) \\ Therefore \\ (x+5)(x+3)(x-3)=0 \end{gathered}$ $\begin{gathered} x^2-25=0 \\ x^2-5^2=0 \\ (x+5)(x-5)=0 \end{gathered}$

From the above,

$\begin{gathered} x^3+5x^2-9x-45=0 \\ AND \\ x^2-25=0 \end{gathered}$

The two equation above can be solved by difference of two square, but the equation below is the easiest solved using differnce of two square

x² - 25 = 0

3 0

1 year ago

Help Me quick please!!!

Musya8 [376]

Let the width of room be =x mtrs

Then the length is x+2 mtrs

As Perimeter = 2(l+b) = 2(x+x+2)

16 = 2 ( 2x+2)

16/2 = 2x +2

8=2x+2

2x= 8-2 = 6

x = 6/2 =3 mtrs

Therefore width of the room is 3 mtrs

7 0

3 years ago

Read 2 more answers

8(-14)/[(-8)-3(-13)]

Nadusha1986 [10]

Hey there!

$\bold{\frac{8(-14)}{(-8)-3(-13)}}$

$\bold{8\times-14=-112}$
$\bold{\frac{-112}{(-8)-3(-13)}}$
$\bold{3\times-13=39}$
$\bold{\frac{-112}{-8-39} }$
$\bold{-8-(-39)=31}$
$\boxed{\boxed{\bold{Answer:\frac{-112}{31}}}}$

Good luck on your assignment and enjoy your day!

~ $\bold{LoveYourselfFirst:)}$

7 0

3 years ago

A system of equations consists of a line s of the equation y = x - 5 that is graphed in orange, and a line t that passes through

Zarrin [17]

ANSWER

$x = 4$

and

$y = - 1$

EXPLANATION

Line s has equation:

y=x-5

And line t has equation:

$y = - \frac{3}{4}x + 2$

We equate the two equations to get:

$x - 5 = - \frac{3}{4} x + 2$

Multiply through by 4

$4x - 20 = - \frac{3}{4} x \times 4 + 2 \times 4$

$4x - 20 = - 3 x + 8$

$4x + 3x = 8 + 20$

7x=28

$x = \frac{28}{7} = 4$

$y = 4 - 5 = - 1$

5 0

3 years ago

Read 2 more answers

What is 0.25% of 137

rodikova [14]

Answer:

0.342

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers