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2 years ago

1. Factorise completelty. a) x²-x-132

Mathematics

1 answer:

Natasha_Volkova [10]2 years ago

5 0

Answer:

$(x - 12)(x +11)$

Step-by-step explanation:

Hello!

We can factor by grouping. Find two numbers that multiply to -132 and add to -1.

The two numbers are 11 and -12.
Expand -x to 12x + 11x
<u>Factor by grouping</u>

<h3 /><h3>Factor by Grouping</h3>

$x^2 - x - 132$
$x^2 + 11x - 12x - 132$
$x(x + 11) - 12(x + 11)$
$(x - 12)(x +11)$

The factored form is $(x - 12)(x +11)$ .

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Factor the following expression 2x^2 - 11x+12

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3 years ago

Which number line shows the solution set for |m| = 4

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Answer:

Last choice that shows points on +4 and -4 is the correct graph.

Step-by-step explanation:

We have been given equation $|m|=4$ . Now we need to find out which of the given number lines shows the corret solution set for $|m|=4$ .

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3 years ago

find the surface area of a right regular hexagonal pyramid with sides 3 cm and slant heights 6cm. show all of your work.

DedPeter [7]

Answer:

The surface area of right regular hexagonal pyramid = 82.222 cm³

Step-by-step explanation:

Given as , for regular hexagonal pyramid :

The of base side = 3 cm

The slant heights = 6 cm

Now ,

The surface area of right regular hexagonal pyramid = $\frac{3\sqrt{3}}{2}\times a^{2} + 3 a \sqrt{h^{2}+ 3\times \frac{a^{2}}{4}}$

Where a is the base side

And h is the slant height

So, The surface area of right regular hexagonal pyramid = $\frac{3\sqrt{3}}{2}\times 3^{2} + 3 \times 3 \sqrt{6^{2}+ 3\times \frac{3^{2}}{4}}$

Or, The surface area of right regular hexagonal pyramid = $\frac{3\sqrt{3}}{2}\times 9 + 9 \sqrt{36+ 3\times \frac{9}{4}}$

Or, The surface area of right regular hexagonal pyramid = 23.38 + 9 × $\frac{171}{4}$

∴ The surface area of right regular hexagonal pyramid = 23.38 + 9 × 6.538

I.e The surface area of right regular hexagonal pyramid = 23.38 + 58.842

So, The surface area of right regular hexagonal pyramid = 82.222 cm³ Answer

6 0

4 years ago

1. Factorise completelty. a) x²-x-132​

1. Factorise completelty. a) x²-x-132