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Sati [7]
4 years ago
9

If f(x)=cosx, then f(x+ pi/2) is equal to

Mathematics
1 answer:
weqwewe [10]4 years ago
8 0
The answer must be - cospi/2 which is not available in the option
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In the right triangle shown, what is the cosine of angle C?
DiKsa [7]

Answer:

Since the legs of the right triangle measure x + 1 and x + 15, respectively, and since the hypotenuse measures x + 17, the Pythagorean Theorem can be used as follows: (x + 1)2 + (x + 15)2 = (x + 17)2. This equation becomes (x2 + 2x + 1) + (x2 + 30x + 225) = x2 + 34x + 289, which then becomes 2x2 + 32x + 226 = x2 + 34x + 289. When all the terms are moved to one side, the equation becomes x2 – 2x – 63 = 0, and when the left side of the equation is factored, it becomes (x – 9)(x + 7) = 0. At this point, it seems as if x can equal 9 or –7, but if x were –7, one of the legs would have a negative length, and this is impossible. For this reason x equals 9, and the legs of the triangle measure 10 and 24, respectively, while the hypotenuse measures 26. Since cosine is

length of adjacent leg

length of hypotenuse

, the cosine of angle C is

24

26

, or

12

13

.

3 0
3 years ago
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What is the slope of this line?<br> y = 2x + 9<br> m = [?]
Alecsey [184]

Answer:

m = 2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

<em>m</em> = slope

<em>b</em> = y-int

4 0
3 years ago
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Each week 9 3/4 dozen eggs are sold.<br>How long will 95 1/2 dozen eggs last?​
iris [78.8K]

Answer:

it will be approximately 10 weeks

Step-by-step explanation:

4 0
3 years ago
Is -134 greater than or less than 1136
masya89 [10]

Answer:

less than.

Step-by-step explanation:

.............

7 0
3 years ago
Quick algebra 1 assignment for 50 points!
PtichkaEL [24]

See below for the demonstration of (e) graphing a line using x- and y-intercepts

<h3>The graphing method to demonstrate</h3>

To solve this question, we make demonstrate (e) graphing a line using x- and y-intercepts

<h3>The learning goals</h3>

At the end of this exercise, you should be able to graph a line using x- and y-intercepts

<h3>A brief overview</h3>

A linear equation is represented as:

Ax + By = C

Where:

  • y-intercept = C/B
  • x-intercept = C/A

This means that we plot the points (0,C/B) and (C/A, 0) on a graph and then connect the points using a straight line.

Once this is done, the line has been graphed.

For instance, a line parallel to 3x + 8y = 16 will have a slope of -3/8

<h3>An original problem to solve</h3>

Plot the graph of the following equation using the intercepts

2x + 4y = 10

We have:

2x + 4y = 10

Set x = 0 to determine the y-intercept

4y = 10

Divide by 4

y = 2.5

Set x = 0 to determine the x-intercept

2x = 10

Divide by 2

x = 5

So, we have:

(5, 0) and (0, 2.5)

Plot the above points and connect the points (see attachment for graph)

<h3>An original problem to solve by another student</h3>

Plot the graph of the following equation using the intercepts

3x + 6y = 18

We have:

3x + 6y = 18

Set x = 0 to determine the y-intercept

6y = 18

Divide by 6

y = 3

Set x = 0 to determine the x-intercept

3x = 18

Divide by 3

x = 6

So, we have:

(6, 0) and (0, 3)

Plot the above points and connect the points (see attachment for graph)

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

4 0
2 years ago
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