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3 years ago

Find the area of the shaded region. All angles are right angles.

Mathematics

1 answer:

elena-s [515]3 years ago

5 0

Answer:

166 m^2

Step-by-step explanation:

Break the diagram into 3 rectangles:

rectangle 1 has 5 m width and 9 m length

rectangle 2 has 19 m width and 4 m length

rectangle 3 has 5 m width and 9 m length

area of rectangle 1 = l * w = 9m * 5m = 45 m^2

area of rectangle 2 = l * w = 4m * 19m = 76 m^2

area of rectangle 3 = l * w = 9m * 5m = 45 m^2

total area = area of rectangle 1 + area of rectangle 2 + area of rectangle 3

= 45m^2 + 76 m^2 + 45 m^2

= 166m^2

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What is the value of A when we rewrite 2^x-6 + 2x as A * 2^x?

Leto [7]

Algebraic expressions are expressions that use numbers and variables

The value of A is 65/64

<h3>How to determine the value of A</h3>

The expression is given as:

$2^{x - 6} + 2^x$

Rewrite the expression as:

$2^{x - 6} + 2^x = \frac{2^x}{2^6} + 2^x$

Factor out 2^x

$2^{x - 6} + 2^x = 2^x(\frac{1}{2^6} + 1)$

Rewrite as product

$2^{x - 6} + 2^x = 2^x * (\frac{1}{2^6} + 1)$

The expression to compare with is given as: A * 2^x.

So, we have:

$A * 2^x =2^x * (\frac{1}{2^6} + 1)$

Divide both sides by 2^x

$A =\frac{1}{2^6} + 1$

Take LCM

$A =\frac{1 + 2^6}{2^6}$

$A =\frac{65}{64}$

Hence, the value of A is 65/64

Read more about expressions at:

brainly.com/question/4344214

6 0

2 years ago

(x^2-2)^2-10(x^2-2)+21=0 find one value of x that is a solution to the equation

Sloan [31]

Answer:

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Step-by-step explanation:

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3 years ago

PLS HELP ILL MARK CROWN

jok3333 [9.3K]

Answer:

4x−7

Step-by-step explanation:

Being given our polynomial:

$4x^{2}$ + x - 14,

We must find the roots to get our answer.

x = (- 1 ± √(1 - 4*4*(-14)) / 8

x = (- 1 ± √225) / 8

x = ( -1 ± 15) / 8

x₁ = (- 1 + 15)/ 8 = 14/8 = 7 / 4

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The factors we came up with:

(x - x₁)(x - x₂)

(x - 7/4)(x + 8)

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So,

The correct option is C.

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2 years ago

Read 2 more answers

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lesya692 [45]

Answer:

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Step-by-step explanation:

The given expression is:

$3x^5(2x^2+4x+1)$

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$3x^5(2x^2)+3x^5(4x)+3x^5(1)$

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3 years ago

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Answer:

Expanded Form:

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Step-by-step explanation:

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