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3 years ago

Solve the system of equations 2x+5y=-4 -x-3y=1

Mathematics

1 answer:

victus00 [196]3 years ago

4 0

Answer:

y = 2 x = -7

Step-by-step explanation:

2x+5y=-4 2x + 5y = -4 Add both equations

(-x-3y=1)2 -2x - 6y = 2

-y = -2

y = 2

Plug in 2 for y in the equations

-x - 3(2) = 1

-x -6 = 1

-x = 7

x = -7

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A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8 degrees when staring at the top of t

borishaifa [10]

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

$tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft$

Second triangle:

$tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft$

Now, the total height of the statue will be:

$TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft$

Have a nice day!

8 0

3 years ago

How do you factor -4x^2 + 4x - 10?

Sonbull [250]

Answer:

-2 (2 x^2 - 2 x + 5)

Step-by-step explanation:

Factor the following:

-4 x^2 + 4 x - 10

Factor -2 out of -4 x^2 + 4 x - 10:

Answer: -2 (2 x^2 - 2 x + 5)

3 0

3 years ago

Read 2 more answers

What is infinite ?<br> i want an extremely detailed answer for 100 points

Andru [333]

Answer:

infinite adjective

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in·fi·nite | \ ˈin-fə-nət \

Definition of infinite (Entry 1 of 2)

1: extending indefinitely : ENDLESS

infinite space

2: immeasurably or inconceivably great or extensive : INEXHAUSTIBLE

infinite patience

3: subject to no limitation or external determination

4a: extending beyond, lying beyond, or being greater than any preassigned finite value however large

infinite number of positive numbers

b: extending to infinity

infinite plane surface

c: characterized by an infinite number of elements or terms

an infinite set

an infinite series

infinite noun

Definition of infinite (Entry 2 of 2)

: something that is infinite (as in extent, duration, or number)

Other Words from infinite

Synonyms & Antonyms

More Example Sentences

Learn More about infinite

Other Words from infinite

Adjective

infiniteness noun

Synonyms & Antonyms for infinite

Synonyms: Adjective

bottomless, boundless, endless, fathomless, horizonless, illimitable, immeasurable, immensurable, indefinite, limitless, measureless, unbounded, unfathomable, unlimited

Antonyms: Adjective

bounded, circumscribed, confined, definite, finite, limited, restricted

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Examples of infinite in a Sentence

Adjective

an infinite series of numbers

She has infinite patience when she's dealing with children.

Recent Examples on the Web: Adjective

So that in that infinite potential of emptiness, the form falls away and the formless blossoms into this dance of the elements.

— New York Times, "The Topanga Tea Ceremony," 6 Dec. 2019

The numbers these researchers used global multithread computing to crack were 240 digits long, and there are infinite prime numbers for cryptographers to choose from for the entire future.

— Caroline Delbert, Popular Mechanics, "Scientists Crack Longest, Most Complex Encryption Key Ever," 6 Dec. 2019

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'infinite.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

First Known Use of infinite

Adjective

14th century, in the meaning defined at sense 1

Noun

15th century, in the meaning defined above

History and Etymology for infinite

Adjective

Middle English infynyt, borrowed from Anglo-French & Latin; Anglo-French infinit, borrowed from Latin infīnītus "indefinite, having no limit, endless," from in- IN- entry 1 + fīnītus "specific, definite, having bounds or limits" — more at FINITE

Step-by-step explanation:

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3 years ago

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Constant of proportionality y = 1/4 x

Dovator [93]

Answer:

The constant of proportionality is 1/4.

Step-by-step explanation:

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2 years ago

12<br>34<br>516<br>If Z1 = 120° what is m_4

nikklg [1K]

Answer:

Whats the product of 35 × 3/5=

Step-by-step explanation:

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3 years ago