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3 years ago

Multiply (3x-4y)(3x+4y)

Mathematics

1 answer:

mel-nik [20]3 years ago

3 0

You can use (a - b)(a + b) = a² - b²:

$(3x-4y)(3x+4y)=(3x)^2-(4y)^2=3^2x^2-4^2y^2=9x^2-16y^2$

Other method.

Use distributive property: a(b + c) = ab + ac:

$(3x-4y)(3x+4y)=(3x-4y)(3x)+(3x-4y)(4y)\\\\=(3x)(3x)+(-4y)(3x)+(3x)(4y)+(-4y)(4y)\\\\=9x^2\underbrace{-12xy+12xy}_{=0}-16y^2=9x^2-16y^2$

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3 years ago

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A cable 33m long runs from the top of a utility pole to a point on the ground 22m from the base of the pole. How tall is the uti

Natasha_Volkova [10]

Answer: 24.6 m

Step-by-step explanation:

The shape described is that of a right-angled triangle.

This means that the height of the pole can be calculated using the Pythagorean rule.

c² = a² + b²

c = hypothenuse which is the length of the cable to the ground = 33m

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3 years ago

An unknown number is increased by -3. the result is -8<br> find the unknown number

Rudiy27

Answer:

The unknown number is -5.

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-3 + -5 = -8

-8 - -3 = -5

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3 years ago

What is the measure of segment PG?

agasfer [191]

The measure of the segment PG is mathematically given as

P G=17units. Option D

<h3>What is the measure of the segment PG?</h3>

Generally, the equation for is mathematically given as

$In $\triangle G H T$ \& $\triangle G J T$$

$\begin{aligned}&\angle G J T=\angle G H T \quad\left(\text { each } 90^{\circ}\right) \\\\&\angle G T J=\angle H T G\end{aligned}$

$G T=$ G $T$ (common)$

Hence $\triangle G H T=\triangle G J T$ (By AAS criteria)$

$G H=G J$ By cpct$

It is given that

$\mathrm{GH}=x+3$$$

$\ln =2 x-1$

Hence $G H=x+3=2 x-1$$$

$\text { as given } \begin{aligned}P G &=4 x+1 \\&=4 \times 4+1 \\&=17 \\\text { } & P G=17 \text { units }\end{aligned}$

In conclusion, The measure of the segment PG is given as

P G=17