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2 years ago

Correct Priya's work and find the correct simplified expression.

Mathematics

2 answers:

Bingel [31]2 years ago

8 0

Let's find

$\\ \rm\hookrightarrow -2(4-2x)-3-2x$

apply distributive law

a(b-c)=ab-ac

$\\ \rm\hookrightarrow -8+4x-3-2x$

Combine like terms

$\\ \rm\hookrightarrow 4x-2x-8-3$

$\\ \rm\hookrightarrow 2x-11$

Option A

vesna_86 [32]2 years ago

4 0

Answer: A) -11+2x

Step-by-step explanation:

-2(4-2x)-3-2x =
-8+4x -2x -3 =
-8-3+2x =
2x-11 or -11+2x

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Circle 1, Circle 2, and Circle 3 have the same center and have radii, respectively, of r₁ cm, r₂ cm, r₃ cm, where r₁ < r₂ &lt

ira [324]

Answer:

a) A₁ /A₂ = r₁² / (r₂² - r₁²)

b) A₂ /A₃ = (r₂² - r₁²) / (r₃² - r₂²)

Step-by-step explanation:

We have Circle 1 and area A₁

Area of circle 2 outside circle 1 = A₂

Area of circle 3 outside circle 2 = A₃

On the other hand we have

A₁ = π*r₁² area of circle 1

A₂´ = π*r₂² area of circle 2

A₃´ = π*r₃² area of circle 3

All areas in cm²

a) A₁ /A₂

A₁ = π*r₁²

According to problem statement A₂ = π*r₂² - A₁

A₂ = π*r₂² - π*r₁² ⇒ A₂ = π* (r₂² - r₁²)

Then A₁ /A₂ = π*r₁² / [π* (r₂² - r₁²)]

A₁ /A₂ = r₁² / (r₂² - r₁²)

b) A₂ /A₃

A₂ = π* (r₂² - r₁²)

And

A₃ = π* (r₃² - r₂²)

Therefore

A₂ /A₃ = π* (r₂² - r₁²) / π* (r₃² - r₂²) ⇒ A₂ /A₃ = (r₂² - r₁²) / (r₃² - r₂²)

A₂ /A₃ = (r₂² - r₁²) / (r₃² - r₂²)

6 0

3 years ago

Find the height of the triangle. Round the answer to one decimal place.

gogolik [260]

Answer:

x = 6.4

Step-by-step explanation:

Taking the sin ratio of the angle :

sin 40° = x / 10
0.64 = x / 10
x = 0.64 × 10
x = 6.4

4 0

3 years ago

Which ordered pair is NOT a solution to the inequality in the graph?

aalyn [17]

Given:

The inequality is

$y\leq 3x+2$

To find:

The ordered pair that is NOT a solution to the inequality in the graph.

Solution:

We have,

$y\leq 3x+2$

Checking the inequality for (0,0), we get

$0\leq 3(0)+2$

$0\leq 2$

So, the equality is true for (0,0). it means (0,0) is a solution of given inequality.

Checking the inequality for (-2,-4), we get

$-4\leq 3(-2)+2$

$-4\leq -6+2$

$-4\leq -4$

So, the equality is true for (-2,-4). It means (-2,4) is a solution of given inequality.

Checking the inequality for (0,2), we get

$2\leq 3(0)+2$

$2\leq 2$

So, the equality is true for (0,2). It means (0,2) is a solution of given inequality.

Checking the inequality for (-3,4), we get

$4\leq 3(-3)+2$

$4\leq -9+2$

$4\leq -7$

This statement is not true. So, the equality is false for (-3,4). It means (-3,4) is not a solution of given inequality.

Therefore, the correct option is D.

6 0

3 years ago

Read 2 more answers

Simplify the following by removing parentheses and combining terms - (2x + 8) + 3(2x + 8) - 2x

Sati [7]

Answer:

2x+16

Step-by-step explanation:

PEMDAS

3 0

3 years ago

The distance between two points on a number line can be found by taking the _[blank 1]_ of the _[blank 2]_ of the coordinates.

Rom4ik [11]

The distance between two points on a number line can be found by taking the absolute value of the difference in the coordinates.

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Learn more about coordinates here brainly.com/question/11337174

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3 0

2 years ago