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2 years ago

What is the correct answer?

Mathematics

2 answers:

Maurinko [17]2 years ago

4 0

At noon, ship A is sailing 170 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 4:00 PM?

km/h

PLEASE answer in a fraction with no decimals

algol132 years ago

3 0

Answer:

g²

Step-by-step explanation:

Factoring both terms:

8g²=2×2×2×g×g

g³=g×g×g

Here,

g×g is common in both terms.

So the GCF(Greatest Common Factor)=g²

You might be interested in

How could you use Descartes' Rule and the Fundamental Theorem of Algebra to predict the number of complex roots to a polynomial,

salantis [7]

Answer:

Descartes' rule states that the possible number of the positive roots of a polynomial is equal to the number of sign changes in the coefficients of the terms or less than the sign changes by a multiple of 2.

The Fundamental Theorem of Algebra states that every polynomial equation over the field of complex numbers of degree higher than 1 has a complex solution, furthermore any polynomial of degree n has n roots.

Remember that the complex numbers include the real numbers.

Suppose we are given the polynomial x^3+3x^2-x-x^4-2, we arrange the terms of the polynomial in the descending order of exponents:

-x^4+x^3+3x^2-x-2, count the number of sign changes, there are 2 sign changes in the polynomial, so the possible number of positive roots of the polynomial is 2 or 0.

returning to our polynomial above, -x^4+x^3+3x^2-x-2, it has degree 4 and so has n roots. Note that complex roots always come in pairs, so here is what can be said from these two rules:

degree 1 has 1 real root

degree 2 has 2 real roots or 2 complex roots

degree 3 has 3 real roots or 1 real root and 2 complex roots

degree 4 has 4 real roots or 2 real roots and 2 complex roots

note that if the degree is odd, there will be at least 1 real root

Step-by-step explanation:

5 0

3 years ago

PLSSS HELP ME THIS WOULD MEAN A LOT :((

Svetlanka [38]

Answer:

Option D

Step-by-step explanation:

Increasing intervals represent the inputs that make the graph rise, or the intervals where the function has a positive slope. Decreasing intervals represent the inputs that make the graph fall, or the intervals where the function has a negative slope.

The inputs ( − values) that make () rise are

(-2,∞)

8 0

3 years ago

Given the parametric equations x = 7cos θ and y = 5sin θ, which of the following represents the curve and its orientation?

nikitadnepr [17]

We have the following parameters

$\begin{gathered} x=7cos\theta \\ y=5sin\theta \end{gathered}$

the general equation of a circle with center (0,0) is the following,

$x^2+y^2=r^2$

Let's use the following tigonometric identity,

$sin^2\theta+cos^2\theta=1$

solving for cos and sin in the equations we are given,

$cos\theta=\frac{x}{7},sin\theta=\frac{y}{5}$

replace,

$(\frac{y}{5})^2+(\frac{x}{7})^2=1$

Since we have two different numbers in the denominator, this is not a circle equation but an elipse, of the form,

$\frac{y^2}{a^2}+\frac{x^2}{b^2}=1$

where,

a is the vertex and,

b is the covertex

thus, in the x axis, the vertex is 7 and the y-axis the covertex is 5

Now, let's determine the direction by replacing

when Θ = 0 , then x = 7*cos0 = 7*1 = 7 , and y = 5*sin0 = 5*0 = 0

when Θ = 90° or π/2 , then x = 7*cos90° = 7*0 = 0 , and y = 5sin90° = 5*1 = 5

If we draw this, we can see that the direction is counterclockwise as in the bottom right image.

6 0

1 year ago

Simplify the expression insert √96/8

liberstina [14]

√96 / 8
= √12
= √4×3
= √4√3
= 2√3

5 0

3 years ago

Write the ratios for sin A and cos A. Not drawn to scale sinA= 24/10, cosA = 10/26 sinA= 24/26, cosA = 10/24

vagabundo [1.1K]

To find the values of trigonometric functions, we can use the acronym SOHCAHTOA, which stands for:

$\begin{gathered} \sin\theta=\frac{opposite}{hypotenue} \\ \\ \cos\theta=\frac{adjacent}{hypotenuse} \\ \\ \tan\theta=\frac{opposite}{adjacent} \end{gathered}$

Because we are only looking for sin A and cos A, we'll use SOH and CAH. Remember that the positions are relative to angle A. So side BC would be the opposite and side AC would be the adjacent sides.

$\begin{gathered} \sin A=\frac{24}{26}\text{ }or\text{ }\frac{12}{13} \\ \\ cosA=\frac{10}{26}\text{ }or\text{ }\frac{5}{13} \end{gathered}$

The answer is the third option, sin A = 24/26, cos A = 10/26.

8 0

2 years ago