Is the system of equations is consistent, consistent and coincident, or inconsistent?

What is the equation of a line perpendicular to y=3x-2

lions [1.4K]

Y=-1/3-2 because you have to make the slope into a negative inverse and the y-intercept stays the same because it's perpendicular. Normal:3 Negative inverse: -1/3

5 0

3 years ago

I need help with this practice I am having a tough time solving it properly

Monica [59]

Given:

There are given that the parent functions as a cosine function:

Where,

The amplitude of the function is 9.

The vertical shift is 11 units down.

Explanation:

To find the cosine function, we need to see the standard form of the cosine function:

$f(x)=acos(bx+c)+d$

Where,

a is the amplitude of the function,

Now,

According to the question:

The amplitude of the function is 9, which means:

$f(x)=9cos(bx+c)+d$

The vertical shift is 11 units down, which means:

$f(x)=9cos(bx+c)-11$

For period:

$\begin{gathered} f(x)=-9cos(\frac{12\pi}{7}x+0)-11 \\ f(x)=-9cos(\frac{12\pi}{7}x)-11 \end{gathered}$

Final answer:

Hence, the cosine function is shown below;

$f(x)=-9cos(\frac{12\pi}{7}x)-11$

4 0

1 year ago

Please explain how to solve this (12+5i) - (9-2i) i have answers but dont understand

zloy xaker [14]

Answer: 3 + 7i

Step-by-step explanation:

Equation expanded: 12 + 5i - 9 + 2i // now simplfy

12 - 9 = 3

5i + 2i = 7i

// together, we get

3 + 7i

7 0

3 years ago

Read 2 more answers

If triangle ABC is similar to triangle EHG, find the measure of angle EHG.

Ksju [112]

First we need to find all the interior angles. So we know that the inside of a triangle (all the angles added up) equals 180. So we need to equal all the inside angles to 180. 

2x + x + 60 = 180

Now lets start to solve. First let's subtract the 60 from both sides.

2x + x = 120

Now we need to add the x's together.

3x = 120

Now we must divide the 120 by 3 to get x by itself.

x = 40

Now just replace the x with 40 to find each of the sides. I'm guessing the triangles are reflecting each other so <EHG would be equal to 80.

ALSO to check if 40 would be correct, add all the angles together in the same triangle and they SHOULD add up to be 180! Which they do!

3 0

3 years ago

Read 2 more answers

The sum of a number z divided by three and the number

charle [14.2K]

the required algebraic expression is: $\frac{z}{3}+z$

Step-by-step explanation:

We need to write the algebraic expression of the sum of a number z divided by three and the number

Let the number be z

a number z divided by three: $\frac{z}{3}$

the sum of a number z divided by three and the number: $\frac{z}{3}+z$

So, the required algebraic expression is: $\frac{z}{3}+z$

Keywords: Algebraic expression

Learn more about Algebraic expression at:

#learnwithBrainly

5 0

3 years ago