Find tan2θ if θ terminates in Quadrant IV and cosθ = 3/5.

A. -1/2
B. 1/2
C. 24/7
D. -24/7

Answer:

The picture isn't very clear but I think this is the answer.

1. 15 cents

2. $1.31

3. 30 cents

Step-by-step explanation:

1. 10+5

2. 50+50+10+10+10+1

3. 25+5

Answer: 2

Step-by-step explanation: because the x in the middle has to be the same

Answer:

e

Step-by-step explanation:

hi it told me to put 20things so there

Given:

Expression is

\(3r^2-2r+4\)

To prove:

If r is any rational number, then \(3r^2-2r+4\) is rational.

Step-by-step explanation:

Property 1: Every integer is a rational number. It is Theorem 4.3.1.

Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.

Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.  

Let r be any rational number.

We have,

\(3r^2-2r+4\)

It can be written as

\(3(r\times r)-2r+4\)

Now,

3, -2 and 4 are rational numbers by property 1.

\(r^2=r\times r\) is rational by Property 3.

\(3r^2\text{ and }-2r\) are rational by Property 3.

\(3r^2+(-2r)+4\) is rational by property 2.

So, \(3r^2-2r+4\) is rational.

Hence proved.

We want to prove that if r is rational, then:

\(3*r^2 - 2r + 4\)  Is also rational.

The proof is below:

Remember that a rational number is any number that can be written as a quotient of two integer numbers.

Then we have:

\(r = \frac{a}{b}\)

Where a and b are integers.

If we replace that in our equation, we get:

\(3*(\frac{a}{b}) ^2 - 2*(\frac{a}{b}) + 4\\\\\frac{3a^2}{b^2} - \frac{2a}{b} + \frac{4}{1}\)

Note that if a is an integer, then 3*a^2 is also an integer.

If b is an integer, then b^2 is also an integer.

Now we can perform the sum of these fractions to get:

\(\frac{3a^2}{b^2} - \frac{2a}{b} + \frac{4}{1}\\\\\frac{3a^2 - 2ab + 4b^2}{b^2}\)

And because integers are closed under the addition, then the numerator of that fraction is also an integer, then we have that the given expression can be written as a quotient of two integers, thus, it is a rational number.

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Answer:

-4, 5

Step-by-step explanation:

y=f(x)

to find the x intercepts then y must be 0

0=f(x), solutions are x=-8, x=1

when 0=f(x+4), you simply  add 4 to each intercept's x coordinate

-8+4=-4

1+4=5

-4, 5

Using the Pythagoras theorem, the longest leg has the length of 24 feet.

Given that,

A ladder of length (2x+6) feet is positioned x feet from a wall.

Height of the ladder = (2x + 6) feet

Distance of ladder from the wall = x feet

Height of the wall that the ladder is placed = (2x + 4) feet

These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.

Longest leg is (2x + 4) feet

Using the Pythagoras theorem,

(2x + 6)² = (2x + 4)² + x²

4x² + 24x + 36 = 4x² + 16x + 16 + x²

4x² + 24x + 36 = 5x² + 16x + 16

x² - 8x - 20 = 0

(x - 10) (x + 2) = 0

x = 10 or x = -2

x = 2 is not possible.

So x = 10

Longest leg = 2x + 4 = 20 + 4 = 24 feet

Hence the length of the longest leg is 24 feet.

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The value of ATC, AFC, TVC if TC = 6Q² + 5Q + 10, are 6Q + 5 + 10/Q, 5 + 6Q,  5Q + 6Q² respectively.

Average total cost (ATC) is calculated by dividing the entire cost by the total amount of output produced. The additional cost incurred by creating one more unit of output is known as marginal cost (MC).

Given:

TC = 6Q² + 5Q + 10,

Calculate the value of AFC as shown below,

AFC = 10 / Q

Calculate the value of TVC as shown below,

TVC = TC - TFC

TVC = 5Q + 6Q²

Calculate the value of AFC as shown below,

AFC = TVC / Q

AFC = 5Q + 6Q² / Q

AFC = 5 + 6Q

Calculate the value of ATC as shown below,

ATC = TC / Q

ATC = 6Q² + 5Q + 10 / Q

ATC = 6Q + 5 + 10/Q

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Answer:

me too

Step-by-step explanation:

Answer:

\(\boxed{\sf \ \ \ x^3+8x^2+11x-20 \ \ \ }\)

Step-by-step explanation:

hello,

(x+5)(x+4)(x-1) is one example of polynomial which has roots of -5,-4 and 1

\((x+5)(x+4)(x-1) = (x+5)(x^2-x+4x-4)=(x+5)(x^2+3x-4)\\= x^3+3x^2-4x+5x^2+15x-20=x^3+8x^2+11x-20\)

hope this helps

Answer:

\(\huge\boxed{\sf 1}\)

Step-by-step explanation:

= \(\displaystyle (\frac{1}{4} )^0\)

Using exponent rule:

So,

\(\displaystyle (\frac{1}{4} )^0=1\)

\(\rule[225]{225}{2}\)

Answer:

True

Step-by-step explanation:

This concept is fairly well-known in real world. This deals with the law of demand - If price goes up, demand goes down and similarly, If price goes down, demand goes up.

Answer:

B

Step-by-step explanation:

there are 4 answers for each question, thats 8 all together. Two of the 4 are one vaild answers. Take 2/8 * 2/8 = 4/64 then you reduce that and get 1/16

Answer:

About how many times longer would the students desk be than string II?

Answer and Step-by-step explanation:

This requires the use of the Sine trig function to solve for x.

The Sine trig function is as follows:

sin(θ) = \(\frac{Opposite Side}{Hypotenuse}\)

Plug in the values and solve for x.

sin(60) = \(\frac{x}{24\sqrt{3}}\)

Multiply each side by \(24\sqrt{3}\)

\(24\sqrt{3} (sin(60)) = x\\\\\\\\36 = x\)

36 is equal to x.

#teamtrees #PAW (Plant And Water)

Explanation:

Pick any term and subtract off the previous term to get the common difference.

So,

13/40 - 1/5 = 13/40 - 8/40 = (13-8)/40 = 5/40 = 1/8

Or

9/20 - 13/40 = 18/40 - 13/40 = (18-13)/40 = 5/40 = 1/8

The positive common difference value indicates this arithmetic sequence is increasing.

Example 1: For Δ ABC, show that AB = AC and Δ ABC is isosceles if the bisector AD of ∠ A is perpendicular to side BC. Also, this condition satisfies the properties of the isosceles triangles.

thus, Δ ABC is an isosceles triangle.

Example 2: Prove that △ACF≅△AEB, if ∠C=∠E and AC=AE.

Answer:

Domain: all real numbers (all reals)

Range: y> OR EQUAL TO -2

Step-by-step explanation:

Hope this helps! ;-)

Triangles are shown to be congruent by the statement that "Angles are congruent by vertical angles."

Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.

Given two triangles, Where the base of these triangles are same

And also given that the two angles are the same.

Since,

Two intersecting lines form a pair of vertical angles. The vertical angles are opposite angles with a common vertex (which is the point of intersection).

Thus, the third angle is also equal

From AAS:

AAS stands for Angle-Angle-Side. When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent

Therefore. "Angles are congruent by vertical angles" is used to show the triangles are congruent by AAS,

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Answer:

B

Step-by-step explanation:

Plato

The x- intercept of g(x) is at (5,0), the correct option is B.

A function is a law that relates a dependent and an independent variable.

The function is g(x) = -f(x-4)

The x intercept is when y =0

The function in the graph f is 0 at x =1

g(x) = -f( 5-4) = -f(1) = 0

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Answer:

x = 3

Step-by-step explanation:

Let's solve your equation step-by-step.

7x−3=18

Step 1: Add 3 to both sides.

7x−3+3=18+3

7x=21

Step 2: Divide both sides by 7.

7x/7 = 21/7

x=3

Various data points are shown in this scatter plot (x, y), where x is age and y is cost of eating out.  As age, or x, increases, the cost of eating out, y also increases.  The plot has an upward trend, with one outlier.

If you need any more explanation ill be glad to help

Hope this helps,

Jeron

:- )

(p.s., maybe brainliest if I really helped??  :))))    )

Answer:

True

Explanation:

Bridget Riley was one of the most prominent artists associated with the 1960s 'Op Art' movement, which was an art movement that explored optical illusions and effects to create abstract art that played with the viewer's perception. However, there were many other artists associated with this movement, including Victor Vasarely, Richard Anuszkiewicz, and Yaacov Agam, among others.

The values of the expressions are;

z³³

d⁻¹⁶

Note that index forms are described as forms used in the representation of numbers or variables too large or small.

Some rules of index forms are;

Then, from the information given, we have that;

(z⁻⁴/z⁶  × z⁵/z⁻⁶)⁻¹¹

Subtract the exponents, we have;

(z⁻² × z⁻¹)⁻¹¹

expand the bracket

z²² ⁺ ¹¹

z³³

(d⁴)⁻³/(d⁶)⁻²  ÷  (d⁴/d⁶)⁻⁸

expand the brackets

d⁻¹²/d¹²  ÷    (d⁻²)⁻⁸

subtract the exponents

d⁰  ÷  d¹⁶

d⁻¹⁶

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A key part of this is recognizing certain words to change into operations or numbers:

We're given:

\(\dfrac{w}{7}+3=6\)

Answer: The function is odd because f(–x) = –f(x).

Step-by-step explanation:

\(f(x)=6x^7\\\\f(-x)=6(-x)^7 = -6x^7\\\\\therefore f(x)=-f(-x)\)

The function is odd because f(–x) = –f(x).

The function is given as:

f(x) = 6x^7

A function is odd if the following is true

f(-x) = -f(x)

Calculate f(-x)

f(-x) = 6(-x)^7

f(-x) = -6x^7

Calculate -f(x)

-f(x) = -6x^7

By comparison;

f(-x) = -f(x) = -6x^7

Hence, the function is odd because f(–x) = –f(x).

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Answer:

No

Step-by-step explanation:

To form a proporion, both would need to be a multiple of the same thing, whcih they aren't