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3 years ago

10

The distance on a map between Lake View and Bay Cove is 4.5 inches. The map key says 0.5 inches on the map is equivalent to 1 mi

le. What is the actual distance between Lake View and Bay Cove?

1 answer:

Basile [38]3 years ago

8 0

The actual distance is 3 mile

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3 years ago

What is the value of x in the figure?<br> (4x + 2)° 150° <br> A. 37<br> B. 60<br> C. 160<br> D. 237

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What are the zeros of the function f(x) = x2 + 8x + 4, expressed in simplest radical form?

Katyanochek1 [597]

Answer:

Step-by-step explanation:

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3 years ago

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<img src="https://tex.z-dn.net/?f=4x%20%7B%7D%5E%7B2%7D%20%20%2B%2020x%20%2B%2025" id="TexFormula1" title="4x {}^{2} + 20x + 25

BigorU [14]

$\sf{\qquad\qquad\huge\underline{{\sf Answer}}}$

Let's Solve ~

$\qquad \sf \dashrightarrow \: 4 {x}^{2} + 20x + 25$

$\qquad \sf \dashrightarrow \: 4 {x}^{2} + 10x + 10x + 25$

$\qquad \sf \dashrightarrow \: 2x(2x + 5) + 5(2x + 5)$

$\qquad \sf \dashrightarrow \: (2x + 5) (2x + 5)$

$\qquad \sf \dashrightarrow \: (2x + 5) {}^{2}$

or

$\sf{\qquad \sf \dashrightarrow \: 4x² + 20x + 25 }$

$\sf{\qquad \sf \dashrightarrow \: (2x)² + (2 \sdot 2x \sdot 5) + (5)²}$

[ it's similar to expression - a² + 2ab + b² that is equal to (a + b)² ]

so, let's use this identity here to factorise :

$\sf{\qquad \sf \dashrightarrow \: (2x + 5)²}$

I hope it was helpful ~

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2 years ago