Answer:
Option C
Step-by-step explanation:
Use the <u>Pythagorean Theorem</u> to find the unknown side.

<h3>We are given that:</h3>
We need to solve for a.

<em>Option C should be the correct answer.</em>
Answer:
x=60, y=30
Step-by-step explanation:
4x-7y=30
4x-5y=90
Subtract the equations
4x-7y=30-4x-5y=90
=2y=60
Solve 2y=60
Divide both sides by 2
2y/2=60/2
Simplify;
y=30
For 4x-7*30=30 for x
4x-7y*30=30
Multiply the numbers:7*30=210
4x-210=30
Add 210 to both sides
4x-210+210=30+210
Simplify;
4x=240
Divide both sides by 4
4x/4=240/4
Simplify
x=60
The solutions to the system of equations are:
x=60, y=30
Hope this helped!!!
<h2>
Hello!</h2>
The answer is: 
<h2>
Why?</h2>
Domain and range of trigonometric functions are already calculated, so let's discard one by one in order to find the correct answer.
The range is where the function can exist in the vertical axis when we assign values to the variable.
First:
: Incorrect, it does include 0.4 since the cosine range goes from -1 to 1 (-1 ≤ y ≤ 1)
Second:
: Incorrect, it also does include 0.4 since the cotangent range goes from is all the real numbers.
Third:
: Correct, the cosecant function is all the real numbers without the numbers included between -1 and 1 (y≤-1 or y≥1).
Fourth:
: Incorrect, the sine function range is equal to the cosine function range (-1 ≤ y ≤ 1).
I attached a pic of the csc function graphic where you can verify the answer!
Have a nice day!
The vertex form of all expressions is given below.
We have given that the expressions
We have to write the function in vertex form.
<h3>What is the vertex form of the equation?</h3>
The vertex form of a quadratic function is given by f (x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.
Therefore the first equation

it can be written as

The second equation can be written as

vertex for is,

The third equation is,

Vertex form is,

Forth equation is,

Vertex form is,

To learn more about the vertex form visit:
brainly.com/question/17987697
#SPJ1
Answer:
Step-by-step explanation:
Thx for the points