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2 years ago

Explain how you can use a quick picture to find 3 x 2.7

Mathematics

2 answers:

Nat2105 [25]2 years ago

8 0

3 x 2.7 is the same as 3 x 3 x 0.9 = 9 x 0.9 = 8.1

oksian1 [2.3K]2 years ago

4 0

You can also multiply like a normal number and add the decimal place
2.7×3. 27×3=81. and add the decimal point so 8.1

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Sum term product factor quotients coefficients for 5x+12

Svetllana [295]

I tried I hope this helps in any kind of way

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2 years ago

How many people will x cups of rice serve

Sunny_sXe [5.5K]

Step-by-step explanation:

two people I hope I could help

7 0

2 years ago

2. Consider the circle x² + y2 = 1, given in figure. Let OP makes an angle 30° with the x axis.

PolarNik [594]

The equation of the tangent line to the circle passing through the point P is; y = (1/√3)x ± 2/√3

<h3>How to find the equation of the tangent?</h3>

I) We are given the equation of the circle as;

x² + y² = 1

Since angle of inclination is 30°, then slope is;

m = tan 30 = 1/√3

Then equation of the tangent will be;

y = (1/√3)x + c

Put (√3)x + c into the given circle equation to get;

x² + ((1/√3)x + c)² = 1

x² + ¹/₃x² + (2/√3)cx + c² = 1

⁴/₃x² + (2/√3)x + (c² - 1) = 0

Since we need to find value of c for equation to become tangent, then the above quadratic equation must have real and equal roots.

Thus;

((2/√3)c)² - 4(⁴/₃)(c² - 1) = 0

⁴/₃c² - ¹⁶/₃(c² - 1) = 0

⁴/₃c² - ¹⁶/₃c² + ¹⁶/₃ = 0

4c² = ¹⁶/₃

c² = ⁴/₃

c = √⁴/₃

c = ±²/√3

Thus, equation of tangent is;

y = (1/√3)x ± 2/√3

II) Radius from the given equation is 1. Thus, we will use trigonometric ratio to find the x and y intercept;

x-intercept is at y = 0;

0 = (1/√3)x ± 2/√3

-(1/√3)x = ±2/√3

Intercept is positive. Thus;

x = (2/√3)/(1/√3)

x = 1

y - intercept is positive at x = 0;

y = (1/√3)0 ± 2/√3

y = 2/√3

Read more about Equation of tangent at; brainly.com/question/17040970

#SPJ1

6 0

1 year ago

Sam has twice as many books as Jim. If Sam gives 12 books to Jim, they will have the same number of books. How many books do the

Neko [114]

Alright, lets get started.

Suppose number of books Jim have = x

Sam has twice as many books as Jim. So,

Number of books Sam have = 2x

If Sam gives 12 books to Jim, they will have the same number of books.

When Sam gives 12 books, his remaining books will be $= 2x - 12$

When Jim gets 12 books from Sam, his books will be $= x + 12$

And as per given question, they both now have equal books, so

$2x - 12 = x + 12$

Adding 12 in both sides

$2x - 12 + 12 = x + 12 + 12$

$2x = x + 24$

Subtracting x from both sides

$2x - x = x + 24 - x$

$x = 24$

It means Jim has number of books = 24

So, Sam has numberof books = $24 * 2 = 48$

So, they have number of books together = $24 + 48 = 72$ : Answer

Hope it will help :)

5 0

2 years ago

Read 2 more answers

Factor the polynomial completely. 4x3 – 12x2 7x – 21 4x2(x – 3) 7(x – 3) Which is the completely factored polynomial? 4x2(x 4) 3

bixtya [17]

Answer:

(d) (4x² +7)(x -3)

Step-by-step explanation:

This polynomial can be factored by factoring pairs of terms.

= (4x³ -12x²) +(7x -21)

= 4x²(x -3) +7(x -3)

= (4x² +7)(x -3)

<em>Additional comment</em>

The answer choices suggest we're not interested in irrational or complex factors. The quadratic (4x² +7) could be factored into linear terms involving irrational complex numbers. The form for "difference of squares" would be used for the purpose.

7 0

2 years ago