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3 years ago

How do u solve this 5 − (x + 5) −2x + 4)

Mathematics

1 answer:

Luda [366]3 years ago

3 0

5 - (x + 5) - (2x + 4)
5 - x - 5 - 2x - 4
-3x - 4

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Kala drove 250 miles using 9 gallons of gas. at this rate how many gallons of gas would she need to drive 275 miles

Rus_ich [418]

Answer:

9.9 gallons

Step-by-step explanation:

To solve this problem, we need to cross multiply. Lets input the values (250, 275, 9) as shown below:

$\frac{9}{250} = \frac{x}{275}$

Next we cross multiply. We multiply 250 and x, and we multiply 9 and 275.

$250(x) = 250x\\$

$275(9) = 2,475$

Now, lets put the values above back into the equation:

$250x = 2,475$

Lets solve this equation. First we divide 2,475 by 250, making x by itself.

$\frac{2,475}{250} =x$

$9.9 = x$

This means that to drive 275 miles, Kala would need to use 9.9 gallons of gas.

8 0

3 years ago

Learn with an example Find the perimeter. Simplify your answer. y-6 y-5 y-5 y-6

koban [17]

Answer:

P = 22

Step-by-step explanation:

P= l(2) + w(2)

5(2) + 6(2)

10 + `12

6 0

3 years ago

Quadratic form of f(x)=(x+7)^2

Triss [41]

Answer:

x^2 + 14x + 49

Step-by-step explanation:

Use the distributive property:

(x + 7)(x + 7) = x^2 + 7x + 7x + 49 = x^2 + 14x + 49

3 0

2 years ago

First question, thanks. I believe there should be 3 answers

zysi [14]

Given: The following functions

$A)cos^2\theta=sin^2\theta-1$ $B)sin\theta=\frac{1}{csc\theta}$ $\begin{gathered} C)sec\theta=\frac{1}{cot\theta} \\ D)cot\theta=\frac{cos\theta}{sin\theta} \\ E)1+cot^2\theta=csc^2\theta \end{gathered}$

To Determine: The trigonometry identities given in the functions

Solution

Verify each of the given function

$\begin{gathered} cos^2\theta=sin^2\theta-1 \\ Note\text{ that} \\ sin^2\theta+cos^2\theta=1 \\ cos^2\theta=1-sin^2\theta \\ Therefore \\ cos^2\theta sin^2\theta-1,NOT\text{ }IDENTITIES \end{gathered}$

$\begin{gathered} sin\theta=\frac{1}{csc\theta} \\ Note\text{ that} \\ csc\theta=\frac{1}{sin\theta} \\ sin\theta\times csc\theta=1 \\ sin\theta=\frac{1}{csc\theta} \\ Therefore \\ sin\theta=\frac{1}{csc\theta},is\text{ an identities} \end{gathered}$

$\begin{gathered} sec\theta=\frac{1}{cot\theta} \\ note\text{ that} \\ cot\theta=\frac{1}{tan\theta} \\ tan\theta cot\theta=1 \\ tan\theta=\frac{1}{cot\theta} \\ Therefore, \\ sec\theta\ne\frac{1}{cot\theta},NOT\text{ IDENTITY} \end{gathered}$

$\begin{gathered} cot\theta=\frac{cos\theta}{sin\theta} \\ Note\text{ that} \\ cot\theta=\frac{1}{tan\theta} \\ cot\theta=1\div tan\theta \\ tan\theta=\frac{sin\theta}{cos\theta} \\ So, \\ cot\theta=1\div\frac{sin\theta}{cos\theta} \\ cot\theta=1\times\frac{cos\theta}{sin\theta} \\ cot\theta=\frac{cos\theta}{sin\theta} \\ Therefore \\ cot\theta=\frac{cos\theta}{sin\theta},is\text{ an Identity} \end{gathered}$

$\begin{gathered} 1+cot^2\theta=csc^2\theta \\ csc^2\theta-cot^2\theta=1 \\ csc^2\theta=\frac{1}{sin^2\theta} \\ cot^2\theta=\frac{cos^2\theta}{sin^2\theta} \\ So, \\ \frac{1}{sin^2\theta}-\frac{cos^2\theta}{sin^2\theta} \\ \frac{1-cos^2\theta}{sin^2\theta} \\ Note, \\ cos^2\theta+sin^2\theta=1 \\ sin^2\theta=1-cos^2\theta \\ So, \\ \frac{1-cos^2\theta}{sin^2\theta}=\frac{sin^2\theta}{sin^2\theta}=1 \\ Therefore \\ 1+cot^2\theta=csc^2\theta,\text{ is an Identity} \end{gathered}$

Hence, the following are identities

$\begin{gathered} B)sin\theta=\frac{1}{csc\theta} \\ D)cot\theta=\frac{cos\theta}{sin\theta} \\ E)1+cot^2\theta=csc^2\theta \end{gathered}$

The marked are the trigonometric identities

3 0

1 year ago

A large college wishes to determine the average SAT scores for students who apply from New York. They surveyed 105 students from

sweet [91]

Answer:

Statements I and II

Step-by-step explanation:

In Statistics, parameter is any numerical value that characterizes a population while statistics are numerical values that characterizes a sample from a given population.

Statistics are most often used to estimate the population parameters

For example the sample mean is a statistic and the population mean is a paranmeter

The mean SAT score of all students from New York is the parameter.

The mean SAT score of 105 students from New York is called the statistic.

The correct choice is the third option.

5 0

3 years ago