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4 years ago

Finish the sentence

Mathematics

2 answers:

Westkost [7]4 years ago

6 0

Answer

c = They're negative reciprocals.

Step-by-step explanation:

When dividing a positive number by a positive quotient the result is positive, when dividing a negative number by a positive quotient the result is negative. The answers will be the same, but one will be negative and the other will be postitive, making them negative reciprocals.

Hope this helps :)

mario62 [17]4 years ago

4 0

Answer:

a: always a positive.

b: is a negative

c:???

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Pleaseee helppp!!!!!

lana [24]

Answer:

x - 9

Step-by-step explanation:

(f ÷ g)(x) = f(x) ÷ g(x), that is

$\frac{x^2-19x+90}{x-10}$ ← factorise the numerator

= $\frac{(x-10)(x-9)}{x-10}$ ← cancel the common factor (x - 10) on numerator/denominator

= x - 9

8 0

3 years ago

let sin(θ) =3/5 and tan(y) =12/5 both angels comes from 2 different right trianglesa)find the third side of the two tringles b)

statuscvo [17]

In a right triangle, we haev some trigonometric relationships between the sides and angles. Given an angle, the ratio between the opposite side to the angle by the hypotenuse is the sine of this angle, therefore, the following statement

$\sin (\theta)=\frac{3}{5}$

Describes the following triangle

To find the missing length x, we could use the Pythagorean Theorem. The sum of the squares of the legs is equal to the square of the hypotenuse. From this, we have the following equation

$x^2+3^2=5^2$

Solving for x, we have

$\begin{gathered} x^2+3^2=5^2 \\ x^2+9=25 \\ x^2=25-9 \\ x^2=16 \\ x=\sqrt[]{16} \\ x=4 \end{gathered}$

The missing length of the first triangle is equal to 4.

For the other triangle, instead of a sine we have a tangent relation. Given an angle in a right triangle, its tanget is equal to the ratio between the opposite side and adjacent side.The following expression

$\tan (y)=\frac{12}{5}$

Describes the following triangle

Using the Pythagorean Theorem again, we have

$5^2+12^2=h^2$

Solving for h, we have

$\begin{gathered} 5^2+12^2=h^2 \\ 25+144=h^2 \\ 169=h^2 \\ h=\sqrt[]{169} \\ h=13 \end{gathered}$

The missing side measure is equal to 13.

Now that we have all sides of both triangles, we can construct any trigonometric relation for those angles.

The sine is the ratio between the opposite side and the hypotenuse, and the cosine is the ratio between the adjacent side and the hypotenuse, therefore, we have the following relations for our angles

$\begin{gathered} \sin (\theta)=\frac{3}{5} \\ \cos (\theta)=\frac{4}{5} \\ \sin (y)=\frac{12}{13} \\ \cos (y)=\frac{5}{13} \end{gathered}$

To calculate the sine and cosine of the sum

$\begin{gathered} \sin (\theta+y) \\ \cos (\theta+y) \end{gathered}$

We can use the following identities

$\begin{gathered} \sin (A+B)=\sin A\cos B+\cos A\sin B \\ \cos (A+B)=\cos A\cos B-\sin A\sin B \end{gathered}$

Using those identities in our problem, we're going to have

$\begin{gathered} \sin (\theta+y)=\sin \theta\cos y+\cos \theta\sin y=\frac{3}{5}\cdot\frac{5}{13}+\frac{4}{5}\cdot\frac{12}{13}=\frac{63}{65} \\ \cos (\theta+y)=\cos \theta\cos y-\sin \theta\sin y=\frac{4}{5}\cdot\frac{5}{13}-\frac{3}{5}\cdot\frac{12}{13}=-\frac{16}{65} \end{gathered}$

4 0

1 year ago

8(3 – 2x)+ 4(3x – 2)=-16 <br>Can someone solve for x? please

castortr0y [4]

Answer: x = 8

Step-by-step explanation:

8(3-2x) + 4(3x - 2) = -16

expanding the equation , we have

24 - 16x +12x - 8 = -16

16 - 4x = -16

collecting the like terms

4x = 32

x = 32/4

x = 8

4 0

4 years ago

Tickets to a play cost $14 each by mail, plus a $2 processing fee for each order of one or more tickets. Write a rule to describ

77julia77 [94]

$14t +2t= total cost or 16t= total cost

3 0

4 years ago

Which of the following statements are true based on the diagram?

WINSTONCH [101]

Its true yo 1234567891011121314

5 0

4 years ago