Sarah and Aarnav had a 3-layer wedding cake made for their wedding. Each layer was 6

Solve the equation for exact solutions over the interval [0, 2π]. <br><br> cos2x=−12

Aleks04 [339]

Answer:

NO SOLUTION

Step-by-step explanation:

The value of cosines is between -1 and 1

As a result, it will never goes to -12 no matter what

3 0

3 years ago

Sara purchased a new bedroom set for $3400. She financed the purchase for 2 years at an annual interest rate of 9%. What is the

Stella [2.4K]

It’s $37 a month, because if you divide 9% by 3400, you get 37

3 0

2 years ago

What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point

kiruha [24]

This is going to be an long answer, so I'm putting the answer first. y=3x-7

First, you have to find the equation of the line given. You can use point slope form for that. You can see that the slope is -1/3, and it goes through (2,2). So, the equation would be
y-2=-1/3(x-2)
Which simplifies to
y=-1/3x+8/3

Now, we can get on to finding the actual answer. The slope of a line perpendicular would be the negative reciprocal of the original slope. That just means you flip it and multiply it by -1. So, the slope of the new line is 3. Now you can use point slope form again and make an equation, which is
y+1=3(x-2)
Which simplifies to
y=3x-7

Please don't ask me why the slope is the negative reciprocal, or how they came up with the formula for the point slope form. I DON'T KNOW. If you want to know so bad you would give up chick-fil-A for the rest of your life, there's always google.

5 0

3 years ago

Read 2 more answers

Multiply (6 + 5i)(4 - 4i)

Anika [276]

Answer:

44-4i

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

I dont understand how to find Which ordered pair is a solution of the equation? y=8x+3

WARRIOR [948]

Answer:

Step 1:

To find ordered pair solutions, you could create an x and y graph and fill out the x side. Then, plug in an x number to get your y number and graph the ordered pairs to see if they give you a straight line. I'm going to use these numbers: -1, 0, 1, and 2.

$...x...|...y...$

$\left[\begin{array}{ccc}-1&?\\0&?\\1&?\\2&?\end{array}\right]$

Now, let's plug in -1 into the equation first to see what we get for y.

$y=8(-1)+3\\y=-8+3\\y=-5\\(-1,-5)$

-5 is our y if x was -1.

We do the same for the other three numbers.

$y=8(0)+3\\y=0+3\\y=3\\(0,3)$

$y=8(1)+3\\y=8+3\\y=11\\(1,11)$

$y=8(2)+3\\y=16+3\\y=19\\(2,19)$

Step 2:

With all that done, we can now fill out our table and graph the points.

$....x...|...y....$

$\left[\begin{array}{ccc}-1&-5\\0&3\\1&11\\2&19\end{array}\right]$

If you graph these points on graph paper / a graphing website, you will see that these points go in a straight line. If you are given an ordered pair already (for example: (3,5)), then all you have to do is plug in the x into the equation (3) and see if the outcome is true (5).

$5=8(3)+3\\5=24+3\\5\neq 27$

Since they don't equal each other, then (3,5) is false.

Here is the graph for the table above. I hope I helped you!

8 0

3 years ago