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3 years ago

Express (x + 3)2 as a trinomial in standard form.

Mathematics

2 answers:

MariettaO [177]3 years ago

5 0

Answer:x^2+6x+9

Step-by-step explanation:

ale4655 [162]3 years ago

4 0

Answer:

x^2−6x+9

Step-by-step explanation:

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

ax^2 + bx + c

Rewrite (x - 3)^2 as (x -3) (x-3).

(x - 3) (x - 3)

expand (x - 3 ) (x - 3) using the FOIL method

Apply the Distributive property

x (x - 3) - 3 (x - 3)

again

x * x + x * -3 - 3 (x- 3)

and again

x * x + x * -3 - 3x - 3 * -3

then simplify and combine like terms

- Multiply x by x

x^2 + x * - 3 - 3x -3 * -3

- Move -3 to the left of x

x^2 - 3 * x - 3x - 3 * -3

Multiply -3 by -3

x^2 - 3x - 3x + 9

Subtract 3x by -3x

x^2 - 6x + 9

Hope that helps!

You might be interested in

7 2/3 as a improper fraction ?

leonid [27]

Answer:

23/3

Step-by-step explanation:

Convert the mixed number 723 7 2 3 into an improper fraction first by multiplying the denominator (3) by the whole number part (7) and add the numerator (2) to get the new numerator. Place the new numerator (23) over the old denominator (3) .

5 0

3 years ago

Read 2 more answers

PLEASE HELP!! 10 POINTS!!WILL MAKE BRAINLIEST

Grace [21]

58): Solution =====> Letter Choice, (C) 1.25m = 1.50(m - 2)

Let's solve your equation step-by-step.

1.25m = 1.5(m − 2)

Step 1: Simplify both sides of the equation.

1.25m = 1.5(m − 2)

1.25m = (1.5)(m) + (1.5)(−2) (Distribute)

1.25m = 1.5m + −3

1.25m = 1.5m − 3

Step 2: Subtract 1.5m from both sides.

1.25m − 1.5m = 1.5m − 3 − 1.5m

−0.25m = −3

Step 3: Divide both sides by -0.25.

-0.25m/ -0.25 = -3/ -0.25

m =========> 12

Answer ===========> m = 12

59): Let your Number be: D

Solution: =====> 7D = 5D - 3 =====> -3/2 =====> -1.5

Seven Times a number:

7 * D or 7(D)

Three Less than Five Times that Number:

5D - 3

7D = 5D - 3

Solve for D:

7D = 5D - 3

Subtract 5D from both sides:

7D - 5D = 5D - 3 - 5D

2D = -3

Divide both sides by 2:

2D/2 = -3/2

D = -3/2

Answer ==> D ====> -3/2 ========> Letter Choice, (F) - 1.5

60): Letter Choice, (C), 3x - 9 = 5x

Let's solve your equation step-by-step.

3x − 9 = 5x

Step 1: Subtract 5x from both sides.

3x − 9 − 5x = 5x − 5x

−2x − 9 = 0

Step 2: Add 9 to both sides.

−2x − 9 + 9 = 0 + 9

−2x = 9

Step 3: Divide both sides by -2.

-2x/ -2 = 9/ -2

x = -9/2

Answer ========> x = -9/2 =======> 4.5

61): Subtract:

500 - 120

= 380

Need to total 500:

380

Find Number of Weeks Divide:

380/20 = 19 Weeks

7 * 19 = 133

Days it will take Nichole to save $500.00 =======> 133 Days

62): Gridded Response:

Solve:

- 2(x - 1 ) + 5x = 2(2x - 1 ) ======> x = 4

( -2 )(x) + ( -2)( - 1 ) + 5x = (2)(2x) + (2)( - 1 )

Distribute:

- 2x + 2 + 5x = 4x + - 2

( - 2x + 5x ) + (2) = 4x - 2 (Combine Like terms):

3x + 2 = 4x - 2

Subtract 4x From both sides:

3x + 2 - 4x = 4x - 2 - 4x - x + 2 = -2

Subtract 2 from both sides:

-x + 2 - 2 = -2 - 2

-x = -4

Divide both sides by -1:

-x/ -1 = -4/ -1

x = 4

Answer =====> x = 4 Check the Graph down below for Gridded Response on Number 62.

Hope that helps!!! : ) _P_

6 0

3 years ago

Plz answer this for me

xz_007 [3.2K]

Answer:

the first one?

Step-by-step explanation:

he went up 9 floors so you'd add 9 and down 7 floors so you'd subtract

4 0

3 years ago

Find the area of this

Yuri [45]

12 I think if I’m wrong sorry! If I’m right please mark my brainly

3 0

3 years ago

The coordinates of the vertices of a rectangle are (−3, 4) , (7, 2) , (6, −3) , and (−4, −1) . What is the perimeter of the rect

ki77a [65]

Answrer

Find out the what is the perimeter of the rectangle .

To prove

Now as shown in the figure.

Name the coordinates as.

A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .

In rectangle opposite sides are equal.

Thus

AB = DC

AD = BC

Formula

$Disatnce\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2}}$

Now the points A(−3, 4) and B(7, 2)

$AB = \sqrt{(7- (-3))^{2} +(2- 4)^{2}}$

$AB = \sqrt{(10)^{2} +(-2)^{2}}$

$AB = \sqrt{100+4}$

$AB = \sqrt{104}$

$AB = 2\sqrt{26}\units$

Thus

$CD= 2\sqrt{26}\units$

Now the points

A (−3, 4) , D (−4, −1)

$AD = \sqrt{(-4 - (-3))^{2} +(-1- 4)^{2}}$

$AD = \sqrt{(-1)^{2} +(-5)^{2}}$

$AD = \sqrt{1 + 25}$

$AD = \sqrt{26}\units$

Thus

$BC = \sqrt{26}\units$

Formula

Perimeter of rectangle = 2 (Length + Breadth)

Here

$Length = 2\sqrt{26}\ units$

$Breadth = \sqrt{26}\ units$

$Perimeter\ of\ rectangle = 2(2\sqrt{26} +\sqrt{26})$

$Perimeter\ of\ rectangle = 2(3\sqrt{26})$

$Perimeter\ of\ rectangle = 6\sqrt{26}$

$\sqrt{26} = 5.1 (Approx)$

$Perimeter\ of\ rectangle = 6\times 5.1$

Perimeter of a rectangle = 30.6 units.

Therefore the perimeter of a rectangle is 30.6 units.

8 0

3 years ago