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3 years ago

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a 42 foot flagpole near the washington monument casts a shadow that is 14 feet long. At the same time, the washington monument c

asts a shadow that is 185 feet long, how tall is the washington monument?

1 answer:

Lelu [443]3 years ago

3 0

Answer: 555 feet

Step-by-step explanation:

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Is y = x + 6 and y = x + 4 parallel, perpendicular or neither

djverab [1.8K]

Answer:

Parallel

Step-by-step explanation:

y=x+6

y=x+4

--------

y=mx+b where m=slope.

-------------

These 2 lines have same slopes, which means/indicates parallel lines.

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3 years ago

What are all the factors of 32?

Digiron [165]

The factors of 32 are / 1, 2, 4, 8, 16, and 32.

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3 years ago

What is the median of 90, 72, 150, 43, 84, 91, 65, 48?<br><br> 105<br> 78<br> 72<br> 84

navik [9.2K]

The correct answer would be 72

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3 years ago

Read 2 more answers

If x+y=12 and xy=15,find the value of (x^2+y^2)

Mice21 [21]

Answer: $x^2+y^2=\dfrac{105\pm 18\sqrt6}{2}$

<u>Step-by-step explanation:</u>

EQ1: x + y = 12 --> x = 12 - y

EQ2: xy = 15

Substitute x = 12-y into EQ2 to solve for y:

(12 - y)y = 15

12y - y² = 15

0 = y² - 12y + 15

↓ ↓ ↓

a=1 b= -12 c=15

$.\ y=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\.\quad =\dfrac{-(-12)\pm \sqrt{(-12)^2-4(1)(15)}}{2(1)}\\\\\\.\quad =\dfrac{12\pm \sqrt{144-120}}{2}\\\\\\.\quad =\dfrac{12\pm \sqrt{24}}{2}\\\\\\.\quad =\dfrac{12\pm 2\sqrt{6}}{2}\\\\\\.\quad =6\pm \sqrt{6}$

Now, let's solve for x:

$xy=15\\\\x(6\pm\sqrt6)=15\\\\x=\dfrac{15}{6\pm\sqrt6}\\\\\\x=\dfrac{15}{6\pm\sqrt6}\bigg(\dfrac{6\pm\sqrt6}{6\pm\sqrt6}\bigg)=\dfrac{6\pm \sqrt6}{2}$

Lastly, find x² + y² :

$y^2=(6\pm \sqrt6)^2\quad \rightarrow \quad y^2=36\pm 12\sqrt6 +6\quad \rightarrow \quad y^2=42\pm 12\sqrt6$

$x^2=\bigg(\dfrac{6\pm \sqrt6}{2}\bigg)^2\quad \rightarrow \quad x^2=\dfrac{42\pm 12\sqrt6}{4}\quad \rightarrow \quad x^2=\dfrac{21\pm 6\sqrt6}{2}$

$x^2+y^2=\dfrac{21\pm 6\sqrt6}{2}+42\pm 12\sqrt6\\\\\\.\qquad \quad = \dfrac{21\pm 6\sqrt6}{2}+\dfrac{84\pm 24\sqrt6}{2}\\\\\\. \qquad \quad = \dfrac{105\pm 18\sqrt6}{2}$

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3 years ago

Can someone please help me thanks

Lynna [10]

The answer to this question is A

6 0

3 years ago