The line y=-1/2x+3 is perpendicular to which line

tankabanditka [31]

The number of candies that will be left over after giving everyone an equal amount is equal to 23.

Given the following data:

Total number of candy = 320 pieces

Number of classmates = 27 classmates

To calculate the number of candies that will be left over after giving everyone an equal amount:

In this exercise, you're required to determine the number of candies Phillipe would have as left over after giving everyone in his class an equal amount of candies.

<h3>How to solve this word problem.</h3>

Thus, we would find the number of times 27 would divide 320 without any remainder.

$\frac{320}{27} = 11 \frac{23}{27}$

From the mixed fraction, we can deduce that the remainder is 23.

Therefore, the number of candies that will be left over after giving everyone an equal amount is equal to 23.

Read more on word problems here: brainly.com/question/13170908

4 0

2 years ago

I need help proving this ASAP

Ket [755]

Answer:

See explanation

Step-by-step explanation:

We want to show that:

$\tan(x + \frac{3\pi}{2} ) = - \cot \: x$

One way is to use the basic double angle formula:

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{ \sin(x) \cos( \frac{3\pi}{2} ) + \cos(x) \sin( \frac{3\pi}{2}) }{\cos(x) \cos( \frac{3\pi}{2} ) - \sin(x) \sin( \frac{3\pi}{2}) }$

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{ \sin(x) ( 0) + \cos(x) ( - 1) }{\cos(x) (0) - \sin(x) ( - 1) }$

We simplify further to get:

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{ 0 - \cos(x) }{0 + \sin(x) }$

We simplify again to get;

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{- \cos(x) }{ \sin(x) }$

This finally gives:

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = - \cot(x)$

6 0

4 years ago

If g (x) = 2x + 2, find g (a + h) - g a. . a. 2h b. 2h + 4 c. h + 2

katrin [286]

G(x) = 2x + 2

g(a + h) - g(a) = 2(a+h) + 2 - (2(a) + 2)

g(a + h) - g(a) = 2a + 2h + 2 - 2a - 2

g(a + h) - g(a) = 2h + 2 - 2

g(a + h) - g(a) = 2h

Your final answer is a. 2h.

6 0

3 years ago

Read 2 more answers

Part A: If (7^2)^x = 1, what is the value of x? Explain your answer. (10 points)

Alex777 [14]

Answers:Part A: The value of x is 0.Part B: X can be any real number.
In Part A, you have to first evaluate 7^2. This is 49. Now, write the equation 49^x = 1. We know that if you raise any number to 0, then the answer is 1.
In Part B, you have to first evaluate 7^0, that is 1. Now, we have the equation 1^x = 1. In this case, 1 raised to any exponent is still only 1. Imagine 1^17, this would be 1 times itself 17 times or just 1.
Therefore any number will work in Part B.

3 0

3 years ago

Select the correct answer.

Sonbull [250]

Answer:

B.

The graph is stretched vertically and shifted to the left 1 unit.

4 0

3 years ago