All categories

2 years ago

Help please! Fully factorise

Mathematics

2 answers:

poizon [28]2 years ago

4 0

Answer:

a.8y³-6y

taking common

2y(4y²-3)

is a required answer

3x²-20x+12

doing middle term factorization

3x²-18x-2x+12

3x(x-6)-2(x-6)

(x-6)(3x-2)

is a required answer .

Anvisha [2.4K]2 years ago

3 0

A. 2y(4y^2-3)

B (x-6) -2 (x-6)

You might be interested in

Please help me Show your work

GrogVix [38]

ANSWER TO PART A

The given triangle has vertices $J(-4,1), K(-4,-2),L(-3,-1)$

The mapping for rotation through $90\degree$ counterclockwise has the mapping

$(x,y)\rightarrow (-y,x)$

Therefore

$J(-4,1)\rightarrow J'(-1,-4)$

$K(-4,-2)\rightarrow K'(2,-4)$

$L(-3,-1)\rightarrow L'(1,-3)$

We plot all this point and connect them with straight lines.

ANSWER TO PART B

For a reflection across the y-axis we negate the x coordinates.

The mapping is

$(x,y)\rightarrow (-x,y)$

Therefore

$J(-4,1)\rightarrow J''(4,1)$

$K(-4,-2)\rightarrow K''(4,-2)$

$L(-3,-1)\rightarrow L''(3,-1)$

We plot all this point and connect them with straight lines.

See graph in attachment

7 0

3 years ago

Examine the fraction 3+2i4−2i. Which expression is the first step to simplify the fraction? 3+2i4−2i⋅3−2i3−2i

umka2103 [35]

Answer:

The correct answer is the last option.

Step-by-step explanation:

When you have a fraction with complex numbers, the first step to simplify is to multiply up and down the conjugate of the denominator, this will eliminate the complex part of the denominator, and in this way you can separate the expression in its real and complex part.

For the expression:

$\frac{3 + 2i}{4-2i
}$

The denominator conjugate is 4 + 2i

When multiplied, the denominator is:

$4 ^ 2 -4i ^ 2 = 16 -4 (-1) = 20$

4 0

2 years ago

If you borrow $50 from your mom and $50 from your dad it makes $100. So the shirt you buy is $97. Then you have $3 left. So you

Ierofanga [76]

In your pocket that is where the 1$ is

3 0

3 years ago

Read 2 more answers

in recent years 17.7% of households watched the finals of a popular reality series. There are 110.2 million households in the Un

prisoha [69]

17.7% x
-------- = -----------------
100% 110,200,000

If 110.2 million households equals 100%, then you just cross multiply to solve for what households are 17.7% - which is 19,505,400.

6 0

2 years ago

Find the exact value

Mnenie [13.5K]

By using properties for trigonometric functions and trigonometric expressions, we find that the exact value of the sine of the angle 5π/12 radians is $\frac{\sqrt{2+\sqrt{3}}}{2}$ .

<h3>How to find the exact value of a trigonometric expression</h3>

Trigonometric functions are trascendent functions, these are, that cannot be described algebraically. Herein we must utilize trigonometric formulae to calculate the exact value of a trigonometric function:

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 - \cos \frac{5\pi}{6} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \cos \frac{\pi}{6} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \frac{\sqrt{3}}{2} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{2+\sqrt{3}}{4} }$

$\sin \frac{5\pi}{12} = \frac{\sqrt{2+\sqrt{3}}}{2}$

To learn more on trigonometric functions: brainly.com/question/15706158

#SPJ1

7 0

1 year ago