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2 years ago

24. Find the area of the shaded region:

Mathematics

2 answers:

Monica [59]2 years ago

7 0

Answer:

A = 5x³ + 17x² - 35x - 30

Step-by-step explanation:

the shaded area (A) is calculated as

A = outer area - inner area

= (5x + 3)(x² + 4x - 10) - 3x(2x - 1) ← distribute parenthesis

= 5x³ + 20x² - 50x + 3x² + 12x - 30 - (6x² - 3x)

= 5x³ + 23x² - 38x - 30 - 6x² + 3x ← collect like terms

= 5x³ + 17x² - 35x - 30

Fudgin [204]2 years ago

3 0

Answer:

5x^3+ 17x^2- 35x-30 Or x=-4.63 or 1.9

Step-by-step explanation:

Area of rectangle =L×B

for smaller rectangle :

after applying the formula, the equation becomes:

6x^2 - 3x

For bigger rectangle:

Applying the same formula, the equation becomes:

5x^3+ 23x^2- 38x- 30

Area of shaded region =

Area of bigger rectangle- Area of smaller rectangle

= 5x^3+17x^2 -35x-30

going further solving the above equation

Area of shaded region: -4.96 or 1.9

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3 years ago

Solve 7x2(x + 1) = 6x + 14<br> Ox=-12<br> Ox = 12<br> Ox= -16<br> Ox = 16

Evgen [1.6K]

$\large\displaystyle\text{$\begin{gathered}\sf 7x-2(x+1)=6x+4 \end{gathered}$}$

Use the distributive property to multiply −2 by x+1.

$\large\displaystyle\text{$\begin{gathered}\sf 7x-2x-2=6x+14 \end{gathered}$}$

Combine 7x and −2x to get 5x.

$\large\displaystyle\text{$\begin{gathered}\sf 5x-2=6x+14 \end{gathered}$}$

Subtract 6x on both sides.

$\large\displaystyle\text{$\begin{gathered}\sf 5x-2-6x=14 \end{gathered}$}$

Combine 5x and −6x to get −x.

$\large\displaystyle\text{$\begin{gathered}\sf -x-2=14 \end{gathered}$}$

Add 2 to both sides.

$\large\displaystyle\text{$\begin{gathered}\sf -x=14+2 \end{gathered}$}$

Add 14 and 2 to get 16.

$\large\displaystyle\text{$\begin{gathered}\sf -x=16 \end{gathered}$}$

Multiply both sides by −1.

$\large\displaystyle\text{$\begin{gathered}\sf x=-16 \ \ \to \ \ \ Answer \end{gathered}$}$

<h2>{ Pisces04 }</h2>

3 0

1 year ago

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