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Bumek [7]
4 years ago
9

P(1, 0) corresponds to( , ) on the sine graph.

Mathematics
1 answer:
Arte-miy333 [17]4 years ago
7 0

Answer:

Step-by-step explanation:

P(1,0) corresponds to (0,0)

P(0,1) corresponds to (90,1)

P(-1,0) corresponds to (180,0)

P(0,-1) corresponds to (270,-1)

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Help please
kirill115 [55]

Answer:

12

Step-by-step explanation:

4 0
3 years ago
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A contractor is building a new subdivision on the outside of a city. He has started work on the first street and is planning for
ruslelena [56]

You can use those two given points of street 1 to form its equation, then can use the fact that parallel lines have same slope to find the equation of second street with the help of the point (1,5) which lies in second street.

The equation of the location of the second street in standard form is given as 2y = x + 9

<h3>What is the equation of a straight line passing through two given points?</h3>

Let the two given points be (a,b) and (c,d). Then the equation of straight line passing through these two points is given by:

y - b = \dfrac{(d-b)}{(c-a)}(x-a)

<h3>What is slope intercept form of equation of straight line?</h3>

y = mx + c is the slope intercept form of straight line where m is the slope and c is the y-intercept (where the straight line cut on y = c at y axis) of the given line.

<h3>How to find equation of second street's location in terms of equation of straight line?</h3>

Firstly we will find the equation of straight line which represents street 1.

Since street 1 goes from point (-5,-6) and (3,-2), thus, its equation would be:

y - (-6) = \dfrac{-2- (-6)}{3-(-5)} (x -(-5))\\&#10;\\&#10;y + 6 = \dfrac{1}{2}(x+5)\\&#10;\\&#10;y + 6 = \dfrac{x}{2} + \dfrac{5}{2}\\\\&#10;y = \dfrac{x}{2} -\dfrac{7}{2}

Thus, this above equation represents equation of location of street 1. The slope is 1/2 and y-intercept is -7/2.

Since the street 2 is parallel to street 1, thus we have its slope same as that of street 1. Writing the equation in slope intercept form we get:

y = \dfrac{1}{2}x + c

Since street 2 passes through (1,5)( x=  1, y = 5), thus, this point must satisfy above equation which represents all points lying on street 2.

Thus,

5 = \dfrac{1}{2} \times 1 + c\\\\&#10;c = 5 - \dfrac{1}{2} = \dfrac{9}{2}

Thus, the equation representing points on street 2 is given by:

y = \dfrac{x}{2} + \dfrac{9}{2}\\&#10;\\&#10;2y = x + 9

Learn more about equation of straight line here:

brainly.com/question/19380936

7 0
2 years ago
Ahmad travelled 1/4 of a journey by Train X, 3/4 of the remainder by Train Y and the remaining 10km by Train Z. a) How far did A
sveta [45]

Hey there! I'm happy to help!

Train X takes out 1/4 of our journey.

Now, we have 3/4 of the journey left.

Train Y takes 3/4 of the last 3/4 of the journey. How much is that, let's just multiply the fractions!

3/4*3/4= 9/16

So, 9/16 of the total journey is done by Train Y.

A fourth of 16/16 is 4/16, so that leaves us with 3/16 left to go.

So, 3/16 of our total distance is equal to 10 km. Let's call our total distance d and set this up as an equation.

3/16d=10

Divide both sides by 3/16.

d= 53 1/3

We also remember that Train Y gave us 9/16 of our total journey, so we can multiply this by our total distance to see how far train Y went.

53 1/3 * 9/16= 30

So, A. Ahmad traveled 30 miles by Train Y and B. his total distance traveled is 53 1/3 miles.

Have a wonderful day and keep on learning! :D

5 0
3 years ago
Mai uses Triangle A and says the slope of this line is `\frac{6}{4}.` Elena uses Triangle B and says no, the slope of this line
nikdorinn [45]

Answer:

I agree with both of them because they are both correct

Step-by-step explanation:

See attachment for complete question;

Slope (m) is calculated using the following formula:

m = \frac{Rise}{Run}

Where

Rise = Vertical\ Distance

Run = Horizontal\ Distance

From the attachment, we have the following:

Triangle A

Rise = 6\ units

Run = 4\ units

So:

m = \frac{Rise}{Run}

m = \frac{6}{4}

<em>In this case, Mai is correct:</em>

Triangle B

Rise = 1.5\ units

Run = 1\ units

So:

m = \frac{Rise}{Run}

m = \frac{1.5}{1}

m = 1.5

<em>In this case, Elena is also correct:</em>

8 0
3 years ago
What is the value of (2x)° + 1​
mestny [16]

Answer:

=2x+1

Step-by-step explanation:

I am pretty sure that is the answer

7 0
3 years ago
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