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dangina [55]
3 years ago
11

Identify the amplitude and the period of the function c(x) = 3cos (x + π).

Mathematics
1 answer:
stepladder [879]3 years ago
8 0
Amplitude = 3 in the above function
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Find the equation of the line that contains the point (-1,-11) and is parallel to the line 7x+3y=10
madam [21]
Y=- \frac{7}{3} -13 \frac{1}{3}.

To find the equation of a line, you need two things: the slope and the y-intercept. 

The slopes of parallel lines are the same. So we can find the slope of the new line by finding the slope of the first line. To do that, we need to put it in y=mx+b format, where m is the slope. So we must rearrange the 7x+3y=10. First subtract 7x from both sides to make it look like:
       3y=10-7x
Then divide both sides three:
       by= \frac{10}{3} - \frac{7}{3} x
So now that it's in y=mx+b format, we can now see that the m= - \frac{7}{3}

Now we know the m of the new equation, we need to find the b, or the y-intercept. To do this, we can plug the point we have and the m value into the y=mx+b format.
       (-11)=- \frac{-7}{3} (-1) + b
Solving this, we can subtract 7/3 from both sides:
     -11- \frac{7}{3} = b
Therefore, b= -13 \frac{1}{3}

Plugging the m= - \frac{7}{3} and the b= -13 \frac{1}{3} back into the y=mx+b format, your parallel line is y=- \frac{7}{3} -13 \frac{1}{3}.
5 0
3 years ago
Chen rode his skateboard 3 3 4 miles in 3 4 of an hour. What was his average speed in miles per hour?
Sati [7]
The answer is 5 .

3 3/4 / 3/4 = 5
Hope this helps
7 0
3 years ago
What percent of 80 is 36?
Helen [10]
45% :)
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7 0
3 years ago
Complete the square to form a perfect square trinomial x^2-14x+
fiasKO [112]
Answer: x^2 - 14x + 49

Explanation:

1) Divide the coefficient of x by 2:

14 / 2 = 7

2) so you have to add 7^2 = 49

x^2 - 14x + 49

3) that trinomial is equivalent to:

=> (x - 7)^2

4) prove that using the formula (a - b)^2 = a^2 - 2ab + b^2

(x - 7)^2  = x^2 - 14x + 49

Then you have to add 49 to complete the square. and form a perfect square trinomial.
7 0
2 years ago
What expression represents the area of the triangle?
inysia [295]
A=bh/2, that is area is equal to half of the product of the base and height, so in this case:

A=(1/2)*10*24
3 0
3 years ago
Read 2 more answers
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