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2 years ago

8

Which statements accurately describe the triangles? Check all that apply.

1 answer:

Stells [14]2 years ago

7 0

Answer:

the ratio of the side lengths are consistent

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Find each absolute value<br><br>| 4+2i |<br><br>| 5-i |<br><br>| -3i |

galina1969 [7]

How to get answer for number 1: | 4+2i |

$\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=4,\:b=2\\=\sqrt{4^2+2^2}\\Refine\\=\sqrt{20}\\\sqrt{20}=2\sqrt{5}\\=2\sqrt{5}$

How to get answer for number 2: | 5-i |

$\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=5,\:b=-1\\=\sqrt{5^2+\left(-1\right)^2}\\=\sqrt{26}$

Number 3 how to get answer: | -3i |

$\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=0,\:b=-3\\=\sqrt{0^2+\left(-3\right)^2}\\Refine\\=\sqrt{9}\\\sqrt{9}\\\mathrm{Factor\:the\:number:\:}\:9=3^2\\=\sqrt{3^2}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a\\\sqrt{3^2}=3\\= 3$

4 0

3 years ago

Read 2 more answers

Estimate the:<br>length of a pen<br>length of a swimming pool<br>length of a marathon race

Paha777 [63]

<h2><em><u>Answers</u></em><em><u> </u></em><em><u>for</u></em><em><u> </u></em><em><u>question</u></em><em><u>:</u></em></h2>

<h3><em><u>length</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>pen</u></em><em><u>:</u></em></h3>

5.2 inches 13.12 cm

<h3><em><u>length</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>swimming</u></em><em><u> </u></em><em><u>pool</u></em><em><u>:</u></em></h3>

50m

<h3><em><u>length</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>marathon</u></em><em><u> </u></em><em><u>race</u></em><em><u>:</u></em></h3>

42.195 kilometers

<h2>hope this answers your question! </h2>

8 0

3 years ago

Evaluate the expression 8-5xy^3 for x=3 and y = -2

Elanso [62]

Answer:

128

Step-by-step explanation:

8 - 5 x 3 x -2^3

8 - 5 x 3 x -8

8 - 15 x -8

8 - -120

128

6 0

3 years ago

Read 2 more answers

(x−5) ^2 in expanded

Licemer1 [7]

Answer:

$x^{2}-10x+25$

Step-by-step explanation:

We can rewrite the question as (x-5)*(x-5).

Using the FOIL Method (First, Outside, Inside, Last):

$x^{2}-5x-5x+25$

This simplifies to $x^{2}-10x+25$

6 0

4 years ago

Read 2 more answers

49–2ax –a^2–x^2 factor

vampirchik [111]

49–2ax –a^2–x^2

Extract the negative sign

= 49 - (a^2 +2ax +x^2)

Factor using a^2 + 2ab + b^2 = (a+b)^2

= 49 - (a+x)^2

Factor using a^2 - b^2 = (a-b)(a+b)

= ( 7- (a + x)) * (7 + (a + x))

= ( 7- a - x) * (7 + a + x)

4 0

3 years ago