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3 years ago

Which description is correct for the polynomial 2x^2 +2

1 answer:

5 0

It is a polynomial with degree 2, with leading coefficient 2 and constant term 2. It has no linear coefficient. Its graph is a parabola.

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Upon descent, an airplane is 20,000 feet above the ground. The air traffic control tower is 200 feet tall. It is determined that

PIT_PIT [208]

Answer:

Base length of plane from control tower = 73,880 feet (Approx.)

Step-by-step explanation:

Given:

Height of plane from ground = 20,000 feet

Height of control tower = 200 feet

Angle of elevation from control tower = 15°

Find:

Base length of plane from control tower

Computation:

Height of plane from control tower = 20,000 - 200

Height of plane from control tower = 19,800 feet

Tan θ = Perpendicular / Base

Tan15 = 19,800 / Base length of plane from control tower

0.268 = 19,800 / Base length of plane from control tower

Base length of plane from control tower = 73,880 feet (Approx.)

6 0

3 years ago

How can you tell if something is a function or not a function

Snezhnost [94]

<span>This characteristic of non-functions was noticed by I-don't-know-who, and was codified in "The Vertical Line Test": Given the graph of a relation, if you can draw a vertical line that crosses the graph in more than one place, then the relation is not a function.</span>

7 0

3 years ago

Read 2 more answers

Find the length of side x in simplest radical form with a rational denominator.

IRINA_888 [86]

Answer: 10√3 / 3

Step-by-step explanation:

cos 30 = 5 / x

x = 5 / cos 30

= 5 / √3 / 2

= 10 √3

= 10√3 / 3

7 0

3 years ago

Rudy, Maria, and Tito have a total of x textbooks Rudy has 6 textbooks andTito and Maria each have y textbooks. How many textboo

shtirl [24]

Answer:

Tito have $\frac{x-6}{2}$ textbooks in terms of x

Step-by-step explanation:

Rudy has 6 textbooks

We are given that Tito and Maria each have y textbooks

So, Tito has no. of books = y

Maria has no. of books = y

So, total number of textbooks = 6+y+y=6+2y

We are given that Rudy, Maria, and Tito have a total of x textbooks

So,6+2y=x

So, 2y=x-6

$y=\frac{x-6}{2}$

Hence Tito have $\frac{x-6}{2}$ textbooks in terms of x

6 0

3 years ago

A computer company makes a rectangular screen with a The dimensions of the computer screen are modeled by diagonal of 20 inches.

Novosadov [1.4K]

Answer:

x = 16

Step-by-step explanation:

The equation shown can be solved this way.

x^2 +(x -4)^2 = 20^2

x^2 +x^2 -8x +16 = 400

2x^2 -8x -384 = 0

x^2 -4x -192 = 0

(x -16)(x +12) = 0

The positive solution is ...

x = 16

_____

Since this makes use of the Pythagorean theorem, you've probably run across the 3-4-5 triangle. You often find scaled versions of it in algebra and geometry problems. Here, it is scaled by a factor of 4 to give a 12-16-20 triangle as half of the display screen.

The 3-4-5 triple is the only Pythagorean triple that is an arithmetic sequence. So, if the difference in side lengths is 4 and the diagonal is 5×4, you can be pretty certain that x = 4×4 and x-4 = 4×3.

6 0

3 years ago