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3 years ago

How to factor g2 − 32g + 256

Mathematics

2 answers:

mafiozo [28]3 years ago

7 0

Answer:

Using the snowflake method, you have to find the factors of 256 that add up to get 32.

The result will look like this:

(g-16)(g-16)

djyliett [7]3 years ago

3 0

Answer:

$(g-16)^2$

Step-by-step explanation:

$g^2-32g + 256$

To factor it you should remember that

$(a-b)^2 = a^2 -2ab+b^2$

It is easy to seee that

$32 = 2 \cdot 16$

and

$256 = 16^2$

Therefore

$g^2-32g + 256 = g^2 - (2\cdot 16)g+ 16^2 = (g-16)^2$

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In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD=√2 cm.

Zielflug [23.3K]

Given that triangle ABC is right angle triangle. CD is altitude such that AD=BC

ABC is a right angle triangle so apply Pythogorean theorem

$AC^{2} + BC^{2} = AB^{2}$

$AC^{2} + AD^{2} = AB^{2}$ (Given that AD = BC)

$AC^{2} + AD^{2} = 3^{2}$ (Given that AB=3)

$AC^{2} + AD^{2} = 9$ ...(i)

ADC is a right angle triangle so apply Pythogorean theorem

$AD^{2} + CD^{2} = AC^{2}$

$AD^{2}+(\sqrt{2})^2= AC^{2}$

$AD^{2}+2= AC^{2}$

$AD^{2}=AC^{2} -2$ ...(ii)

Plug value (ii) into (i)

$AC^{2} + AC^{2}-2 = 9$

$2AC^{2} -2=9$

$2AC^{2} =11$

$AC^{2} =\frac{11}{2}$

$AC=\sqrt{\frac{11}{2} }$

Hence final answer is $AC=\sqrt{\frac{11}{2} }$

8 0

3 years ago

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One size of pizza served at Joe’s Pizza Parlor is 10in. in diameter. What is the area of this particular (circular) size pizza?

abruzzese [7]

Answer:

78.5 in.²

Explanation:

Formula For Area Of Circle: Area = πr²

π: 3.14

r (Half Of Diameter): 5

r²: 25

3.14 · 25 = 78.5

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3 years ago

The graphs of functions f(x) and g(x) = f(x) + k are shown below:

Nataly [62]

Here's the info for f(x): We are going to find the slope of the line and then write the equation for the line using one of the given points. The coordinate points we are given are (0, 0) and (2, 4). Using the slope formula:
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gives us a slope equation of:
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3 years ago

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Is 2000 1 tenth of 200?

Iteru [2.4K]

Answer:No

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3 years ago

The equation 4(x – 3)2 – 5 = 139 has two solutions: one positive and one negative. What is the

AlekseyPX

Answer:

Step-by-step explanation:

4(x-3)2-5 = 139

(4x-12)-5=139

-20x + 60 = 139

-20x +60 - (60) = 139- 60

-20x = 79 divide both sides by -20

x = -3.95

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3 years ago