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3 years ago

Factorise the equation 9x^2 - 4

Mathematics

1 answer:

Wittaler [7]3 years ago

5 0

Answer:

Step-by-step explanation:

a² - b² = (a +b)(a - b)

9x² - 4 = (3x)² - 2²

= (3x + 2 )(3x - 2)

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What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer.

Fantom [35]

-1/4
1/2=2/4
-3/4+2/4= -1/4

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3 years ago

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Mrs. Lavetan has 45 to complete her writing paper. She spend 10 and 1/8 min to planning her paper and 15 and 1/2 minutes weighti

Flura [38]

Answer: 20 minutes

Step-by-step explanation:

She has 45 mins to complete her writing paper.

She spends: $10\frac{1}{8}$ minutes to plan her paper.

She spends: $15\frac{1}{2}$ minutes writing rough drafts.

How much time left does she have?

$45-(10\frac{1}{8} +15\frac{1}{2})$

$45-(10+15(\frac{1}{8}+\frac{1}{2}))$

$45-(25\frac{(1)(2)+(8)(1)}{(8)(2)})$

$45-(25\frac{2+8}{16} )$

$45-(25\frac{10}{16})$ Simplify the fraction.

$45-(25\frac{5}{8})$

$45-25(\frac{5}{8})$

So she has approximately,

$20\frac{5}{8} =\frac{165}{8}= 20$ minutes.

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3 years ago

Choose the correct simplification of the expression (4a4b)2. 16a8b 16a8b2 16a6b2 8a8b2

iogann1982 [59]

Given exponential expression : $(4a^4b)^2$ .

<em>According to exponents of exponent rule, we need to distribute whole exponent over exponents of inside terms of parenthesis.</em>

We are given whole exponent 2 there.

We can apply exponents of exponent rule.

Therefore,

$(4a^4b)^2 = 4^2 a^{4\times2}b^2$

$4^2= 16.$

$a^{4\times2} = a^8$

Therefore, $4^2 a^{4\times2}b^2 = 16a^8b^2.$

<h3>Correct option is second option $16a^8b^2.$ </h3>

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3 years ago

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Olenka [21]

Answer:

x=4

Step-by-step explanation:

If all the figures are similar, we'll have to shrink them at the same rate as the rest.

The ratio here is 2/5. So,

2/5 = 6.4/16

2/5 = x/10

x=4

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3 years ago

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To which subsets of real numbers does the following number belong? square root of 30

LenaWriter [7]

In order to determine which subset it belongs, we must rewrite

$\sqrt(30)$

$\sqrt(30)=\sqrt(2\times \times 3 \times 5)$

$\Rightarrow \sqrt(30)=\sqrt(2 \times 3\times 5)$

$\Rightarrow \sqrt(30)=\sqrt(2) \times \sqrt(3) \times \sqrt(5)$

All these three numbers are irrational numbers, hence their product is also irrational

<h2> $\Rightarrow \sqrt(30)$ </h2><h2>belongs to the set of irrational numbers</h2>

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3 years ago

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